WO2023082485A1 - Alternating current-direct current power grid harmonic coupling modeling method and system - Google Patents

Alternating current-direct current power grid harmonic coupling modeling method and system Download PDF

Info

Publication number
WO2023082485A1
WO2023082485A1 PCT/CN2022/076663 CN2022076663W WO2023082485A1 WO 2023082485 A1 WO2023082485 A1 WO 2023082485A1 CN 2022076663 W CN2022076663 W CN 2022076663W WO 2023082485 A1 WO2023082485 A1 WO 2023082485A1
Authority
WO
WIPO (PCT)
Prior art keywords
harmonic
grid
model
transformer
power grid
Prior art date
Application number
PCT/CN2022/076663
Other languages
French (fr)
Chinese (zh)
Inventor
杨培宏
曹阳
刘万福
党伟
经慧英
刁凤新
孙睿
Original Assignee
内蒙古科技大学
国网内蒙古东部电力有限公司
国网内蒙古东部电力有限公司电力科学研究院
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by 内蒙古科技大学, 国网内蒙古东部电力有限公司, 国网内蒙古东部电力有限公司电力科学研究院 filed Critical 内蒙古科技大学
Priority to GB2308557.4A priority Critical patent/GB2616187A/en
Publication of WO2023082485A1 publication Critical patent/WO2023082485A1/en

Links

Images

Classifications

    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/30—Circuit design
    • G06F30/36—Circuit design at the analogue level
    • G06F30/367—Design verification, e.g. using simulation, simulation program with integrated circuit emphasis [SPICE], direct methods or relaxation methods
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/20—Design optimisation, verification or simulation
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00—Circuit arrangements for ac mains or ac distribution networks
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00—Circuit arrangements for ac mains or ac distribution networks
    • H02J3/01—Arrangements for reducing harmonics or ripples
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00—Circuit arrangements for ac mains or ac distribution networks
    • H02J3/36—Arrangements for transfer of electric power between ac networks via a high-tension dc link
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2113/00—Details relating to the application field
    • G06F2113/04—Power grid distribution networks
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00—Circuit arrangements for ac mains or ac distribution networks
    • H02J3/36—Arrangements for transfer of electric power between ac networks via a high-tension dc link
    • H02J2003/365—Reducing harmonics or oscillations in HVDC
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
    • H02J2203/10—Power transmission or distribution systems management focussing at grid-level, e.g. load flow analysis, node profile computation, meshed network optimisation, active network management or spinning reserve management
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
    • H02J2203/20—Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E40/00—Technologies for an efficient electrical power generation, transmission or distribution
    • Y02E40/40—Arrangements for reducing harmonics
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E60/00—Enabling technologies; Technologies with a potential or indirect contribution to GHG emissions mitigation
    • Y02E60/60—Arrangements for transfer of electric power between AC networks or generators via a high voltage DC link [HVCD]

Definitions

  • the invention relates to the technical field of AC and DC power grids, in particular to a harmonic coupling modeling method and system for AC and DC power grids.
  • the resistance of some 500kV and above voltage grid wires in China is getting smaller and smaller, especially the 500kV transmission lines matched with UHV AC and DC grids also use 630mm 2 and 720mm 2 four-split wires , the transmission line resistance is small.
  • the GIC of 1000kV Huainan and Shanghai stations can reach the level of 700A. Comparing the GIC data of the North American power grid and the Chinese power grid, with the development of large-scale power grids, China has become the country with the highest risk of geomagnetic storm power grid disasters in the world.
  • the purpose of the present invention is to provide a harmonic coupling modeling method and system for AC and DC power grids, so as to realize the calculation and analysis of the harmonic distribution of the AC and DC power grid under the influence of geomagnetic induction current, and then improve the risk of harmonics caused by the geomagnetic induction current of the power grid.
  • the present invention provides the following scheme:
  • a method for modeling harmonic coupling of AC and DC power grids comprising:
  • the harmonic source model of the AC grid transformer According to the historical data of the induced geoelectric field during the geomagnetic storm, the harmonic source model of the AC grid transformer, the harmonic source model of the converter transformer of the DC grid, the harmonic source model of the converter bridge of the DC grid, the harmonic network model of the DC grid and the AC Grid harmonic network model;
  • the DC grid converter transformer harmonic source model Based on the AC grid transformer harmonic source model, the DC grid converter transformer harmonic source model, the DC grid converter bridge harmonic source model, the DC grid harmonic network model and the AC grid harmonic Network model, constructing a harmonic coupling model of AC and DC power grids.
  • harmonic source model of the AC grid transformer is:
  • I GIC (V i -V j )G ij ;
  • I GIC is the geomagnetically induced current from node i to node j
  • V i and V j are the voltage values at node i and node j respectively
  • E is the induced geoelectric field
  • L ij is the transmission line distance from node i to node j
  • G ij is the admittance matrix.
  • the GIC harmonic source model of the DC grid converter bridge is:
  • k T is the ratio of the no-load phase voltage on the valve side of the transformer to the phase voltage on the grid side, is the phase
  • I n is the effective value of the harmonic current
  • n is the harmonic order
  • n 12m ⁇ 1
  • m is a constant
  • the harmonic network model of the DC power grid is:
  • z 0 and z M are the self-impedance and mutual impedance of the DC line unit length respectively, r c is the resistance of the DC line, ⁇ 0 is the vacuum magnetic permeability; f(n) is the frequency, ⁇ (n) is the angular frequency; h is the height of the conductor from the ground; a eq is the equivalent radius of the split conductor, k is the number of split wires, a is the radius of the split wires, s is the side length of the regular polygon composed of split wires, W 11 , V 11 , W 12 , and V 12 are all constant coefficients, and D is the geometric mean distance of the line.
  • the harmonic network model of the AC grid is:
  • Y(n) is the network matrix
  • Z c(n) and ⁇ (n) are the first function and the second function respectively
  • z(n) and y(n) are the third function and the fourth function respectively
  • z (n) r+j ⁇ (n)L
  • y (n) g+j ⁇ (n)C
  • r and g are respectively Resistance and conductance
  • ⁇ (n) is the angular frequency under the nth harmonic
  • L and C are inductance and capacitance respectively.
  • the harmonic network model of the AC power grid constructs a harmonic coupling model of the AC and DC power grid, specifically including:
  • the harmonic coupling admittance matrix and the harmonic node voltage vector a harmonic coupling model of an AC and DC power grid is constructed.
  • the AC/DC power grid harmonic coupling model is:
  • Y N is the harmonic coupling admittance matrix, including AC grid harmonic network and DC grid harmonic network
  • An AC/DC grid harmonic coupling modeling system comprising:
  • the historical data acquisition module is used to acquire the induced geoelectric field historical data when a geomagnetic storm occurs;
  • the induced geoelectric field model building module is used to construct the AC grid transformer harmonic source model, the DC grid converter transformer harmonic source model, and the DC grid converter bridge harmonic source model according to the induced geoelectric field historical data during the geomagnetic storm. , DC grid harmonic network model and AC grid harmonic network model;
  • AC-DC power grid harmonic coupling model construction module used for harmonic source model based on the AC power grid transformer, the DC power grid converter transformer harmonic source model, the DC power grid converter bridge harmonic source model, the DC power grid
  • the grid harmonic network model and the AC grid harmonic network model are used to construct the AC and DC grid harmonic coupling model.
  • harmonic source model of the AC grid transformer is:
  • I GIC (V i -V j )G ij ;
  • I GIC is the geomagnetic induction current from node i to node j
  • V and V j are the voltage values at node i and node j respectively
  • E is the induced geoelectric field
  • L ij is the transmission line distance from node i to node j
  • G ij is the admittance matrix.
  • the GIC harmonic source model of the DC grid converter bridge is:
  • k T is the ratio of the no-load phase voltage on the valve side of the transformer to the phase voltage on the grid side, is the phase
  • I n is the effective value of the harmonic current
  • n is the harmonic order
  • n 12m ⁇ 1
  • m is a constant
  • the invention discloses the following technical effects:
  • the invention constructs the harmonic coupling model of the AC and DC power grid, and uses the harmonic coupling model of the AC and DC power grid to calculate and analyze the harmonic distribution of the AC and DC power grid under the influence of the geomagnetic induction current, so as to obtain the harmonic interference of the transformer cluster in the AC and DC power grid Then determine the propagation characteristics and laws of cluster harmonic interference in AC and DC power grids, and predict the risk of harmonics caused by geomagnetic induction currents in power grids according to the propagation characteristics and laws of cluster harmonic interference in AC and DC power grids. Improve the prediction ability of the harmonic risk caused by the geomagnetic induction current in the power grid, and further help to establish defense measures for transformer damage and large-scale power outages caused by the bias of the geomagnetic induction current in the power grid.
  • Fig. 1 is the flowchart of the harmonic coupling modeling method of AC-DC power grid in the embodiment of the present invention
  • Fig. 2 is the flowchart of the harmonic coupling modeling method of AC-DC power grid based on GIC in the embodiment of the present invention
  • Fig. 3 is the equivalent circuit diagram of the GIC harmonic source model of the AC grid transformer provided in the embodiment of the present invention.
  • FIG. 4 is a schematic diagram of an equivalent circuit for harmonic coupling of an AC-DC power grid in an embodiment of the present invention
  • Fig. 5 is a schematic structural diagram of a harmonic coupling modeling system for AC and DC power grids in an embodiment of the present invention.
  • the purpose of the present invention is to provide a harmonic coupling modeling method and system for AC and DC power grids, so as to realize the calculation and analysis of the harmonic distribution of the AC and DC power grid under the influence of geomagnetic induction current, and then improve the risk of harmonics caused by the geomagnetic induction current of the power grid.
  • Fig. 1 is a flow chart of the harmonic coupling modeling method of the AC-DC power grid in the embodiment of the present invention. As shown in Fig. 1, the present invention provides a harmonic coupling modeling method of the AC-DC power grid, including:
  • Step 101 Obtain historical data of the induced geoelectric field when a geomagnetic storm occurs.
  • the historical data of the induced geoelectric field during the geomagnetic storm is the relevant historical data of the geomagnetic induced current, including the node voltage value, the induced geoelectric field, the distance of the transmission line, the ratio of the no-load phase voltage at the valve side of the transformer to the phase voltage at the grid side, Harmonic current RMS, resistance, conductance, inductance, capacitance, impedance, etc.
  • Step 102 According to the historical data of the induced geoelectric field during the geomagnetic storm, construct the AC grid transformer harmonic source model, the DC grid converter transformer harmonic source model, the DC grid converter bridge harmonic source model, the DC grid harmonic network model and the AC Grid harmonic network model.
  • Step 103 Based on the AC power grid transformer harmonic source model, the DC power grid converter transformer harmonic source model, the DC power grid converter bridge harmonic source model, the DC power grid harmonic network model and the AC power grid harmonic network model, construct the AC and DC power grid Harmonic coupling model.
  • step 103 it also includes: using the AC-DC grid harmonic coupling model to obtain the response mechanism of the transformer cluster harmonic interference in the AC-DC grid, and determining the propagation characteristics and laws of the cluster harmonic interference in the AC-DC grid, and then establishing Magnetic bias defense in electrical grids.
  • the deflection defense is used to prevent transformer damage and large-scale blackout accidents caused by the bias magnetism of the geomagnetic induction current in the power grid.
  • the harmonic source model of AC grid transformer is:
  • I GIC (V i -V j )G ij ;
  • I GIC is the geomagnetically induced current from node i to node j
  • V i and V j are the voltage values at node i and node j respectively
  • E is the induced geoelectric field
  • L ij is the transmission line distance from node i to node j
  • G ij is the admittance matrix.
  • the GIC harmonic source model of the DC grid converter bridge is:
  • k T is the ratio of the no-load phase voltage on the valve side of the transformer to the phase voltage on the grid side, is the phase
  • I n is the effective value of the harmonic current
  • n is the harmonic order
  • n 12m ⁇ 1
  • m is a constant
  • the harmonic network model of DC power grid is:
  • z 0 and z M are the self-impedance and mutual impedance of the DC line unit length respectively, r c is the resistance of the DC line, ⁇ 0 is the vacuum magnetic permeability; f(n) is the frequency, ⁇ (n) is the angular frequency; h is the height of the conductor from the ground; a eq is the equivalent radius of the split conductor, k is the number of split wires, a is the radius of the split wires, s is the side length of the regular polygon composed of split wires, W 11 , V 11 , W 12 , and V 12 are all constant coefficients, and D is the geometric mean distance of the line.
  • the harmonic network model of the AC grid is:
  • Y(n) is the network matrix
  • Z c(n) and ⁇ (n) are the first function and the second function respectively
  • z(n) and y(n) are the third function and the fourth function respectively
  • z (n) r+j ⁇ (n)L
  • y (n) g+j ⁇ (n)C
  • r and g are respectively Resistance and conductance
  • ⁇ (n) is the angular frequency under the nth harmonic
  • L and C are inductance and capacitance respectively.
  • Step 103 specifically includes:
  • the harmonic current injection amount is obtained
  • the harmonic coupling admittance matrix is determined
  • the harmonic coupling admittance matrix and the harmonic node voltage vector the harmonic coupling model of the AC and DC power grid is constructed.
  • the harmonic coupling model of AC and DC power grid is:
  • Y N is the harmonic coupling admittance matrix, including AC grid harmonic network and DC grid harmonic network
  • Fig. 2 is a flowchart of a GIC-based AC/DC power grid harmonic coupling modeling method in an embodiment of the present invention.
  • the present invention provides a AC/DC power grid harmonic coupling modeling method considering geomagnetic induction current. Based on the historical typical values of the induced geoelectric field caused by geomagnetic storms, calculate the GIC distribution of AC grid transformer windings and DC grid converter transformer windings, analyze the DC bias characteristics of AC grid transformers and DC grid converter transformers, and establish AC grid transformers and DC power grids. At the same time, the DC grid side also needs to consider the inherent harmonic characteristics of the converter bridge to establish a harmonic source model for the converter bridge.
  • the harmonic parameter network model of the AC and DC grid is established, and the harmonic coupling model of the AC and DC grid is further constructed by combining the harmonic source model of the AC grid transformer and the equivalent harmonic model of the DC grid.
  • the invention can provide a theoretical basis for the harmonic wave control under the space weather disaster of the AC and DC power grid, improve the anti-disaster risk capability of the power grid, and ensure the safe operation of the power grid.
  • the present invention considers the harmonic coupling modeling method of the AC-DC power grid of the geomagnetic induction current, including:
  • the GIC distribution of the AC power grid is calculated.
  • the specific calculation model is:
  • the GIC value between any two points in the network is:
  • I GIC (V i -V j )G ij ;
  • G ij is the admittance matrix
  • E is the induced geoelectric field
  • V/km the induced geoelectric field
  • L ij is the distance of the transmission line, km.
  • N is the number of turns of the winding
  • i is the winding current
  • H is the magnetic field strength
  • l is the effective length of the core magnetic circuit.
  • the GIC is treated as a direct current in the present invention.
  • a direct current magnetic flux will be generated after the direct current flows through the winding.
  • the current I in Ampere's loop law consists of direct current and alternating current. Ampere's loop law under the action of GIC is:
  • the present invention adopts hyperbolic function fitting magnetization curve, then has:
  • B is the magnetic flux density
  • x, y are parameters related to the magnetization orientation of the iron core.
  • Sh() represents a hyperbolic function.
  • the magnetic flux density under the action of GIC is:
  • A is the effective area of the iron core
  • K is the flux leakage coefficient
  • ⁇ is the magnetic flux.
  • ⁇ AC , ⁇ DC and ⁇ m represent AC magnetic flux, DC magnetic flux and main magnetic flux, respectively.
  • n is the harmonic order, for the phase.
  • the GIC harmonic source model of the transformer is further constructed.
  • the construction of the GIC harmonic source model of the DC grid converter transformer is consistent with the modeling method of the AC grid transformer GIC harmonic source, so it will not be repeated here.
  • the double 12-pulse converter bridge structure is used to construct the characteristic harmonics, and its mathematical model is:
  • k T is the ratio of the no-load phase voltage on the valve side of the transformer to the phase voltage on the grid side, is the phase
  • the self-impedance and mutual impedance per unit length of the DC line can be expressed as:
  • k is the number of split wires
  • a is the radius of the split wires
  • s is the side length of the regular polygon formed by the split wires.
  • the model of the AC line is given in the form of an admittance matrix, specifically:
  • the model of the transformer under the action of harmonics only adjusts L in the equivalent circuit parameters, that is, under the nth harmonic, the inductance increases by n times, and the other parameters remain unchanged.
  • the model of the compensation device and filter device under the action of harmonics adjusts the L and C of its model parameters, that is, under the nth harmonic, the inductance L increases by n times, the capacitance C increases by 1/n times, and the other parameters are not changed. Change.
  • the admittance matrix is used for coupling modeling, and the invention is based on the fact that after the geomagnetic induction current is injected into the neutral points of the AC power grid transformer and the DC power grid converter transformer, the DC bias magnetic field of the transformer is caused, and then harmonics are generated.
  • the converter bridge of the DC power grid will also cause the harmonic distribution of the power grid.
  • there are three harmonic sources in the AC and DC power grid and the harmonic distribution of the power grid is calculated according to the three harmonic sources.
  • a general formula can be used to describe it.
  • the specific model is:
  • Y N is the harmonic coupling admittance matrix, including the AC and DC network
  • the main process of this modeling method is to calculate the distribution of the grid GIC and the GIC value flowing through the AC grid transformer winding and the DC grid converter transformer winding, and calculate the transformer harmonic source model of the AC grid based on the GIC value and the harmonic source model of the converter transformer of the DC power grid.
  • the present invention uses the characteristic harmonics to model the converter bridge.
  • the AC grid transformer The harmonic source, the DC power grid converter harmonic source and the DC power grid converter bridge harmonic source are associated, and the AC-DC power grid harmonic coupling model is established.
  • the overall modeling process is shown in Figure 2.
  • the calculation of the grid GIC distribution is based on the induced geoelectric field caused by the geomagnetic storm.
  • the magnitude of the induced geoelectric field is related to the intensity of the geomagnetic storm.
  • the greater the geomagnetic storm the greater the value of the grid GIC.
  • the maximum Dst value of the geomagnetic storm that induced the power grid blackout in Quebec, Canada was -548nT.
  • the maximum value of the Dst index of the geomagnetic storm was -282nT.
  • Lingao, Guangdong Province was caused The transformer of the nuclear power plant experienced strong vibration and noise.
  • the peak value of GIC measured at the neutral point of the transformer was as high as 75.5A, and the continuous average value of 1 minute also exceeded 50A. Since the harmonics are only related to the GIC value of the transformer winding, and have nothing to do with the duration, the analysis of the harmonic benefits of the power grid under geomagnetic storms should be carried out at the most serious level.
  • the present invention selects three kinds of induced geoelectric fields of different magnitudes when calculating the GIC distribution of the power grid, i.e. 1V/km, 2V/km and 3V/km, and the geoelectric field of 3V/km is basically close to the induced geoelectric field of Quebec, Canada on March 13, 1989. A geomagnetic storm with a blackout.
  • the GIC values of all transformer windings in the AC grid and the GIC values of all circulating transformer windings in the DC grid are further obtained, namely:
  • I GICi (V i -V 0 )G i ;
  • I GICi is the GIC value of the transformer winding
  • V i is the node induced voltage at the high voltage end of the transformer winding
  • V 0 is the ground induced voltage
  • G i is the conductance of the transformer winding.
  • the excitation current of the AC grid transformer and the DC grid circulating transformer are calculated, and the calculation results are described as:
  • n is the harmonic order, for the phase.
  • the excitation branch is replaced by the excitation current source, and the establishment of the transformer GIC harmonic source model can be completed.
  • the DC power grid converter bridge adopts the characteristic harmonics to establish the harmonic source model, specifically:
  • k T is the ratio of the no-load phase voltage on the valve side of the transformer to the phase voltage on the grid side, is the phase
  • I(n) is the RMS value of the harmonic current
  • the harmonic coupling model is established, which is described as:
  • Y N is the harmonic coupling admittance matrix, including the AC and DC network
  • Transformer GIC harmonic source model GIC harmonic source modeling through transformer equivalent circuit.
  • the present invention adopts a transformer T-type equivalent circuit, and replaces the excitation branch in the original equivalent circuit with an excitation current source.
  • the excitation current source is obtained by calculating the DC bias of the transformer.
  • the cause and source of the wave, the excitation current at this time is used as a known value to calculate the harmonic distribution.
  • R 1 and L 1 represent the resistance and inductance parameters of the primary winding of the transformer
  • R 2 and L 2 represent the secondary winding of the transformer resistance and inductance parameters.
  • Figure 4 shows a DC line, both ends of the DC line are connected to the AC grid, and Respectively represent the harmonic voltage at both ends of the DC line, and Respectively represent the harmonic injection current caused by the AC grid transformer GIC, and Respectively represent the harmonic injection current caused by the converter transformer GIC at both ends of the DC line.
  • the harmonic sources are connected through the AC-DC network, and the harmonic coupling model is further established by using the AC-DC network matrix.
  • Fig. 5 is a schematic structural diagram of an AC/DC power grid harmonic coupling modeling system in an embodiment of the present invention. As shown in Fig. 5 , the present invention also provides an AC/DC power grid harmonic coupling modeling system, including:
  • the historical data acquisition module 501 is configured to acquire the induced geoelectric field historical data when a geomagnetic storm occurs.
  • the induced geoelectric field model construction module 502 is used to construct the harmonic source model of the AC power grid transformer, the harmonic source model of the DC power grid converter transformer, the harmonic source model of the DC power grid converter bridge, and the DC power grid according to the historical data of the induced geoelectric field during the geomagnetic storm Grid harmonic network model and AC grid harmonic network model.
  • AC-DC power grid harmonic coupling model construction module 503 used for harmonic source model based on AC grid transformer, DC grid converter transformer harmonic source model, DC grid converter bridge harmonic source model, DC grid harmonic network model and AC Power grid harmonic network model, constructing a harmonic coupling model of AC and DC power grids.
  • the harmonic source model of AC grid transformer is:
  • I GIC (V i -V j )G ij ;
  • I GIC is the geomagnetically induced current from node i to node j
  • V i and V j are the voltage values at node i and node j respectively
  • E is the induced geoelectric field
  • L ij is the transmission line distance from node i to node j
  • G ij is the admittance matrix.
  • the GIC harmonic source model of the DC grid converter bridge is:
  • k T is the ratio of the no-load phase voltage on the valve side of the transformer to the phase voltage on the grid side, is the phase
  • I n is the effective value of the harmonic current
  • n is the harmonic order
  • n 12m ⁇ 1
  • m is a constant
  • each embodiment in this specification is described in a progressive manner, each embodiment focuses on the difference from other embodiments, and the same and similar parts of each embodiment can be referred to each other.
  • the description is relatively simple, and for the related information, please refer to the description of the method part.

Abstract

The present invention provides an alternating current-direct current power grid harmonic coupling modeling method and system. The method comprises: acquiring historical data of an induced ground electric field when a geomagnetic storm occurs; constructing an alternating current power grid transformer harmonic source model, a direct current power grid converter transformer harmonic source model, a direct current power grid converter bridge harmonic source model, a direct current power grid harmonic network model, and an alternating current power grid harmonic network model according to the historical data of the induced ground electric field during the geomagnetic storm; and constructing an alternating current-direct current power grid harmonic coupling model on the basis of the alternating current power grid transformer harmonic source model, the direct current power grid converter transformer harmonic source model, the direct current power grid converter bridge harmonic source model, the direct current power grid harmonic network model, and the alternating current power grid harmonic network model. According to the present invention, by constructing the alternating current-direct current power grid harmonic coupling model, alternating current-direct current power grid harmonic distribution under the influence of a geomagnetic induced current can be obtained, thereby helping to establish defensive measures for transformer damage and large-area power outage caused by magnetic biasing of the geomagnetic induced current in a power grid.

Description

一种交直流电网谐波耦合建模方法及系统A method and system for modeling harmonic coupling of AC and DC power grids
本申请要求于2021年11月11日提交中国专利局、申请号为202111332714.9、发明名称为“一种交直流电网谐波耦合建模方法及系统”的中国专利申请的优先权，其全部内容通过引用结合在本申请中。This application claims the priority of the Chinese patent application submitted to the China Patent Office on November 11, 2021, with the application number 202111332714.9, and the title of the invention is "A Method and System for Harmonic Coupling Modeling of AC and DC Power Grids", the entire content of which is passed References are incorporated in this application.
技术领域technical field
本发明涉及交直流电网技术领域，特别是涉及一种交直流电网谐波耦合建模方法及系统。The invention relates to the technical field of AC and DC power grids, in particular to a harmonic coupling modeling method and system for AC and DC power grids.
背景技术Background technique
加拿大和美国分别建了400mm 2四分裂导线的735kV和760kV电压等级电网，由于735kV和760kV电压等级电网导线的单位长度电阻相对小，致使地磁暴在735kV和760kV电网产生的地磁感应电流(geomagnetic induced current，GIC)相对大，1989年3月13日的强地磁暴在北美735kV和760kV电网产生的GIC及其侵害变压器次生的谐波、无功消耗增大干扰，诱发了加拿大魁北克735kV电网发生了大停电，并造成北美60多条输电线路和变电站变压器保护装置相继跳闸，美国多座厂站变压器因谐波引起温升过高导致永久损毁。 Canada and the United States respectively built 735kV and 760kV voltage level power grids with 400mm 2 four-split conductors. Since the unit length resistance of the 735kV and 760kV voltage level grid conductors is relatively small, the geomagnetic induced currents (geomagnetic induced currents) generated by geomagnetic storms in the 735kV and 760kV power grids current, GIC) is relatively large. The strong geomagnetic storm on March 13, 1989 produced GIC in North American 735kV and 760kV power grids, and the secondary harmonics and reactive power consumption of the transformer violated the interference, which induced the 735kV power grid in Quebec, Canada. This caused a major blackout, and caused more than 60 transmission lines and substation transformer protection devices in North America to trip one after another. Many plant transformers in the United States were permanently damaged due to excessive temperature rise caused by harmonics.
随着中国经济的快速发展，中国部分500kV及以上电压等级电网导线的电阻越来越小，特别是与特高压交直流电网配套的500kV输电线路也采用了630mm 2和720mm 2的四分裂及导线，输电线路电阻小。根据1989年3月13日地磁暴的强度估算，如果再次发生1989年3月13日相同或类似强度的地磁暴，1000kV淮南和上海站GIC可达700A水平。对比北美电网和中国电网的GIC数据，随着大规模电网的发展，中国已成为世界上地磁暴电网灾害风险最高的国家。中国特高压交直流电网的规模大且复杂，地磁暴产生的GIC侵害特高压交直流电网引起变压器集群谐波干扰的响应机制，以及集群谐波干扰在交直流电网中的传播特征与规律是目前没有研究过的一个新问题。 With the rapid development of China's economy, the resistance of some 500kV and above voltage grid wires in China is getting smaller and smaller, especially the 500kV transmission lines matched with UHV AC and DC grids also use 630mm 2 and 720mm 2 four-split wires , the transmission line resistance is small. According to the estimation of the intensity of the geomagnetic storm on March 13, 1989, if another geomagnetic storm of the same or similar intensity on March 13, 1989 occurs, the GIC of 1000kV Huainan and Shanghai stations can reach the level of 700A. Comparing the GIC data of the North American power grid and the Chinese power grid, with the development of large-scale power grids, China has become the country with the highest risk of geomagnetic storm power grid disasters in the world. China's UHV AC-DC grid is large and complex. The response mechanism of transformer cluster harmonic interference caused by GIC generated by geomagnetic storms against UHV AC-DC grid, as well as the propagation characteristics and laws of cluster harmonic interference in AC-DC grid are the most important issues at present. A new problem that has not been studied.
发明内容Contents of the invention
本发明的目的是提供一种交直流电网谐波耦合建模方法及系统，以实现对地磁感应电流影响下的交直流电网谐波分布计算与分析，进而提高电网地磁感应电流引起谐波风险的预测能力。The purpose of the present invention is to provide a harmonic coupling modeling method and system for AC and DC power grids, so as to realize the calculation and analysis of the harmonic distribution of the AC and DC power grid under the influence of geomagnetic induction current, and then improve the risk of harmonics caused by the geomagnetic induction current of the power grid. Ability to predict.
为实现上述目的，本发明提供了如下方案：To achieve the above object, the present invention provides the following scheme:
一种交直流电网谐波耦合建模方法，包括：A method for modeling harmonic coupling of AC and DC power grids, comprising:
获取发生地磁暴时的感应地电场历史数据；Obtain the historical data of the induced geoelectric field when a geomagnetic storm occurs;
根据所述地磁暴时的感应地电场历史数据，构建交流电网变压器谐波源模型、直流电网换流变压器谐波源模型、直流电网换流桥谐波源模型、直流电网谐波网络模型和交流电网谐波网络模型；According to the historical data of the induced geoelectric field during the geomagnetic storm, the harmonic source model of the AC grid transformer, the harmonic source model of the converter transformer of the DC grid, the harmonic source model of the converter bridge of the DC grid, the harmonic network model of the DC grid and the AC Grid harmonic network model;
基于所述交流电网变压器谐波源模型、所述直流电网换流变压器谐波源模型、所述直流电网换流桥谐波源模型、所述直流电网谐波网络模型和所述交流电网谐波网络模型，构建交直流电网谐波耦合模型。Based on the AC grid transformer harmonic source model, the DC grid converter transformer harmonic source model, the DC grid converter bridge harmonic source model, the DC grid harmonic network model and the AC grid harmonic Network model, constructing a harmonic coupling model of AC and DC power grids.
可选的，所述交流电网变压器谐波源模型为：Optionally, the harmonic source model of the AC grid transformer is:
I GIC＝(V i-V j)G ij； I GIC = (V i -V j )G ij ;
其中，I GIC为节点i到节点j的地磁感应电流，V i和V j分别为节点i和节点j处的电压值，
Figure PCTCN2022076663-appb-000001
E为感应地电场，L ij为节点i到节点j的输电线路距离，G ij为导纳矩阵。 Among them, I GIC is the geomagnetically induced current from node i to node j, V i and V j are the voltage values at node i and node j respectively,
Figure PCTCN2022076663-appb-000001
E is the induced geoelectric field, L ij is the transmission line distance from node i to node j, and G ij is the admittance matrix.
可选的，所述直流电网换流桥GIC谐波源模型为：Optionally, the GIC harmonic source model of the DC grid converter bridge is:
Figure PCTCN2022076663-appb-000002
Figure PCTCN2022076663-appb-000002
其中，
Figure PCTCN2022076663-appb-000003
为谐波电流，k T为变压器阀侧空载相电压与网侧相电压的比值，
Figure PCTCN2022076663-appb-000004
为相位，I n为谐波电流有效值，n为谐波次数，n＝12m±1，m为常数，最大值取为15，m＝1,2,…。 in,
Figure PCTCN2022076663-appb-000003
is the harmonic current, k T is the ratio of the no-load phase voltage on the valve side of the transformer to the phase voltage on the grid side,
Figure PCTCN2022076663-appb-000004
is the phase, I n is the effective value of the harmonic current, n is the harmonic order, n=12m±1, m is a constant, the maximum value is 15, m=1,2,….
可选的，所述直流电网谐波网络模型为：Optionally, the harmonic network model of the DC power grid is:
Figure PCTCN2022076663-appb-000005
Figure PCTCN2022076663-appb-000005
其中，z 0和z M分别为直流线路单位长度的自阻抗和互阻抗，r c为直流线路的电阻，μ 0为真空导磁率；f(n)为频率，ω(n)为角频率；h为导线距地面高度；a eq为分裂导线的等值半径，
Figure PCTCN2022076663-appb-000006
k为分裂导线数，a为分裂导线的半径，s为以分裂导线组成的正多边形的边长，
Figure PCTCN2022076663-appb-000007
W 11、V 11、W 12、V 12均为常系数，D为线路几何均距。 Among them, z 0 and z M are the self-impedance and mutual impedance of the DC line unit length respectively, r c is the resistance of the DC line, μ 0 is the vacuum magnetic permeability; f(n) is the frequency, ω(n) is the angular frequency; h is the height of the conductor from the ground; a eq is the equivalent radius of the split conductor,
Figure PCTCN2022076663-appb-000006
k is the number of split wires, a is the radius of the split wires, s is the side length of the regular polygon composed of split wires,
Figure PCTCN2022076663-appb-000007
W 11 , V 11 , W 12 , and V 12 are all constant coefficients, and D is the geometric mean distance of the line.
可选的，所述交流电网谐波网络模型为：Optionally, the harmonic network model of the AC grid is:
Figure PCTCN2022076663-appb-000008
Figure PCTCN2022076663-appb-000008
其中，Y(n)为网络矩阵，Z c(n)和γ (n)分别为第一函数和第二函数，
Figure PCTCN2022076663-appb-000009
z(n)和y(n)分别为第三函数和第四函数，z (n)＝r+jω(n)L，y (n)＝g+jω(n)C，r和g分别为电阻和电导，ω(n)为n次谐波下的角频率，L和C分别为电感和电容。 Among them, Y(n) is the network matrix, Z c(n) and γ (n) are the first function and the second function respectively,
Figure PCTCN2022076663-appb-000009
z(n) and y(n) are the third function and the fourth function respectively, z (n) =r+jω(n)L, y (n) =g+jω(n)C, r and g are respectively Resistance and conductance, ω(n) is the angular frequency under the nth harmonic, L and C are inductance and capacitance respectively.
可选的，所述基于所述交流电网变压器谐波源模型、所述直流电网换流变压器谐波源模型、所述直流电网换流桥谐波源模型、所述直流电网谐波网络模型和所述交流电网谐波网络模型，构建交直流电网谐波耦合模型，具体包括：Optionally, the harmonic source model based on the AC grid transformer, the DC grid converter transformer harmonic source model, the DC grid converter bridge harmonic source model, the DC grid harmonic network model and The harmonic network model of the AC power grid constructs a harmonic coupling model of the AC and DC power grid, specifically including:
根据所述交流电网变压器谐波源模型、所述直流电网换流变压器谐波源模型、所述直流电网换流桥谐波源模型输出的电流进行叠加，得到谐波电流注入量；Superimpose current output according to the harmonic source model of the AC grid transformer, the harmonic source model of the DC grid converter transformer, and the harmonic source model of the DC grid converter bridge to obtain a harmonic current injection amount;
根据所述直流电网谐波网络模型和所述交流电网谐波网络模型，确定谐波耦合导纳矩阵；determining a harmonic coupling admittance matrix according to the DC grid harmonic network model and the AC grid harmonic network model;
将所述交流电网变压器谐波源模型和所述直流电网换流桥谐波源模型 输出的电压进行叠加，得到谐波节点电压向量；The voltage output by the harmonic source model of the AC grid transformer and the harmonic source model of the DC grid converter bridge is superimposed to obtain a harmonic node voltage vector;
根据所述谐波电流注入量、所述谐波耦合导纳矩阵和所述谐波节点电压向量，构建交直流电网谐波耦合模型。According to the harmonic current injection amount, the harmonic coupling admittance matrix and the harmonic node voltage vector, a harmonic coupling model of an AC and DC power grid is constructed.
可选的，所述交直流电网谐波耦合模型为：
Figure PCTCN2022076663-appb-000010
Optionally, the AC/DC power grid harmonic coupling model is:
Figure PCTCN2022076663-appb-000010
其中，
Figure PCTCN2022076663-appb-000011
为谐波电流注入量，包括交流电网变压器、直流电网换流变压器以及直流电网换流桥的谐波电流注入；Y N为谐波耦合导纳矩阵，包括交流电网谐波网络和直流电网谐波网络；
Figure PCTCN2022076663-appb-000012
为谐波节点电压向量，包括交流电网变压器，直流电网变压器以及直流电网换流桥的节点谐波电压。 in,
Figure PCTCN2022076663-appb-000011
is the harmonic current injection amount, including the harmonic current injection of AC grid transformer, DC grid converter transformer and DC grid converter bridge; Y N is the harmonic coupling admittance matrix, including AC grid harmonic network and DC grid harmonic network;
Figure PCTCN2022076663-appb-000012
is the harmonic node voltage vector, including the node harmonic voltages of AC grid transformer, DC grid transformer and DC grid converter bridge.
一种交直流电网谐波耦合建模系统，包括：An AC/DC grid harmonic coupling modeling system, comprising:
历史数据获取模块，用于获取发生地磁暴时的感应地电场历史数据；The historical data acquisition module is used to acquire the induced geoelectric field historical data when a geomagnetic storm occurs;
感应地电场模型构建模块，用于根据所述地磁暴时的感应地电场历史数据，构建交流电网变压器谐波源模型、直流电网换流变压器谐波源模型、直流电网换流桥谐波源模型、直流电网谐波网络模型和交流电网谐波网络模型；The induced geoelectric field model building module is used to construct the AC grid transformer harmonic source model, the DC grid converter transformer harmonic source model, and the DC grid converter bridge harmonic source model according to the induced geoelectric field historical data during the geomagnetic storm. , DC grid harmonic network model and AC grid harmonic network model;
交直流电网谐波耦合模型构建模块，用于基于所述交流电网变压器谐波源模型、所述直流电网换流变压器谐波源模型、所述直流电网换流桥谐波源模型、所述直流电网谐波网络模型和所述交流电网谐波网络模型，构建交直流电网谐波耦合模型。AC-DC power grid harmonic coupling model construction module, used for harmonic source model based on the AC power grid transformer, the DC power grid converter transformer harmonic source model, the DC power grid converter bridge harmonic source model, the DC power grid The grid harmonic network model and the AC grid harmonic network model are used to construct the AC and DC grid harmonic coupling model.
可选的，所述交流电网变压器谐波源模型为：Optionally, the harmonic source model of the AC grid transformer is:
I GIC＝(V i-V j)G ij； I GIC = (V i -V j )G ij ;
其中，I GIC为节点i到节点j的地磁感应电流，V和V j分别为节点i和节点j处的电压值，
Figure PCTCN2022076663-appb-000013
E为感应地电场，L ij为节点i到节点j的输电线路距离，G ij为导纳矩阵。 Among them, I GIC is the geomagnetic induction current from node i to node j, V and V j are the voltage values at node i and node j respectively,
Figure PCTCN2022076663-appb-000013
E is the induced geoelectric field, L ij is the transmission line distance from node i to node j, and G ij is the admittance matrix.
可选的，所述直流电网换流桥GIC谐波源模型为：Optionally, the GIC harmonic source model of the DC grid converter bridge is:
Figure PCTCN2022076663-appb-000014
Figure PCTCN2022076663-appb-000014
其中，
Figure PCTCN2022076663-appb-000015
为谐波电流，k T为变压器阀侧空载相电压与网侧相电压的比值，
Figure PCTCN2022076663-appb-000016
为相位，I n为谐波电流有效值，n为谐波次数，n＝12m±1，m为常数，最大值取为15，m＝1,2,…。 in,
Figure PCTCN2022076663-appb-000015
is the harmonic current, k T is the ratio of the no-load phase voltage on the valve side of the transformer to the phase voltage on the grid side,
Figure PCTCN2022076663-appb-000016
is the phase, I n is the effective value of the harmonic current, n is the harmonic order, n=12m±1, m is a constant, the maximum value is 15, m=1,2,….
根据本发明提供的具体实施例，本发明公开了以下技术效果：According to the specific embodiments provided by the invention, the invention discloses the following technical effects:
本发明通过构建交直流电网谐波耦合模型，并利用交直流电网谐波耦合模型对地磁感应电流影响下的交直流电网谐波分布进行计算与分析，以获得交直流电网中变压器集群谐波干扰的响应机制，进而确定集群谐波干扰在交直流电网中的传播特征和规律，并根据集群谐波干扰在交直流电网中的传播特征和规律对电网地磁感应电流引起谐波风险进行预测，以提高电网地磁感应电流引起谐波风险的预测能力，进一步帮助建立电网中因地磁感应电流的偏磁，而导致变压器损毁和诱发大面积停电事故的防御措施。The invention constructs the harmonic coupling model of the AC and DC power grid, and uses the harmonic coupling model of the AC and DC power grid to calculate and analyze the harmonic distribution of the AC and DC power grid under the influence of the geomagnetic induction current, so as to obtain the harmonic interference of the transformer cluster in the AC and DC power grid Then determine the propagation characteristics and laws of cluster harmonic interference in AC and DC power grids, and predict the risk of harmonics caused by geomagnetic induction currents in power grids according to the propagation characteristics and laws of cluster harmonic interference in AC and DC power grids. Improve the prediction ability of the harmonic risk caused by the geomagnetic induction current in the power grid, and further help to establish defense measures for transformer damage and large-scale power outages caused by the bias of the geomagnetic induction current in the power grid.
说明书附图Instructions attached
为了更清楚地说明本发明实施例或现有技术中的技术方案，下面将对实施例中所需要使用的附图作简单地介绍，显而易见地，下面描述中的附图仅仅是本发明的一些实施例，对于本领域普通技术人员来讲，在不付出创造性劳动性的前提下，还可以根据这些附图获得其他的附图。In order to more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the following will briefly introduce the accompanying drawings required in the embodiments. Obviously, the accompanying drawings in the following description are only some of the present invention. Embodiments, for those of ordinary skill in the art, other drawings can also be obtained according to these drawings without paying creative labor.
图1为本发明实施例中交直流电网谐波耦合建模方法流程图；Fig. 1 is the flowchart of the harmonic coupling modeling method of AC-DC power grid in the embodiment of the present invention;
图2为本发明实施例中基于GIC的交直流电网谐波耦合建模方法的流程图；Fig. 2 is the flowchart of the harmonic coupling modeling method of AC-DC power grid based on GIC in the embodiment of the present invention;
图3为本发明实施例中提供的交流电网变压器GIC谐波源模型等值电路图；Fig. 3 is the equivalent circuit diagram of the GIC harmonic source model of the AC grid transformer provided in the embodiment of the present invention;
图4为本发明实施例中交直流电网谐波耦合的等值电路示意图；4 is a schematic diagram of an equivalent circuit for harmonic coupling of an AC-DC power grid in an embodiment of the present invention;
图5为本发明实施例中交直流电网谐波耦合建模系统结构示意图。Fig. 5 is a schematic structural diagram of a harmonic coupling modeling system for AC and DC power grids in an embodiment of the present invention.
具体实施方式Detailed ways
下面将结合本发明实施例中的附图，对本发明实施例中的技术方案进行清楚、完整地描述，显然，所描述的实施例仅仅是本发明一部分实施例，而不是全部的实施例。基于本发明中的实施例，本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例，都属于本发明保护的范围。The following will clearly and completely describe the technical solutions in the embodiments of the present invention with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only some, not all, embodiments of the present invention. Based on the embodiments of the present invention, all other embodiments obtained by persons of ordinary skill in the art without making creative efforts belong to the protection scope of the present invention.
本发明的目的是提供一种交直流电网谐波耦合建模方法及系统，以实现对地磁感应电流影响下的交直流电网谐波分布计算与分析，进而提高电网地 磁感应电流引起谐波风险的预测能力。The purpose of the present invention is to provide a harmonic coupling modeling method and system for AC and DC power grids, so as to realize the calculation and analysis of the harmonic distribution of the AC and DC power grid under the influence of geomagnetic induction current, and then improve the risk of harmonics caused by the geomagnetic induction current of the power grid. Ability to predict.
为使本发明的上述目的、特征和优点能够更加明显易懂，下面结合附图和具体实施方式对本发明作进一步详细的说明。In order to make the above objects, features and advantages of the present invention more comprehensible, the present invention will be further described in detail below in conjunction with the accompanying drawings and specific embodiments.
图1为本发明实施例中交直流电网谐波耦合建模方法流程图，如图1所示，本发明提供了一种交直流电网谐波耦合建模方法，包括：Fig. 1 is a flow chart of the harmonic coupling modeling method of the AC-DC power grid in the embodiment of the present invention. As shown in Fig. 1, the present invention provides a harmonic coupling modeling method of the AC-DC power grid, including:
步骤101：获取发生地磁暴时的感应地电场历史数据。其中，所述地磁暴时的感应地电场历史数据为地磁感应电流的相关历史数据，包括节点电压值、感应地电场、输电线路距离、变压器阀侧空载相电压与网侧相电压的比值、谐波电流有效值、电阻、电导、电感、电容、阻抗等。Step 101: Obtain historical data of the induced geoelectric field when a geomagnetic storm occurs. Wherein, the historical data of the induced geoelectric field during the geomagnetic storm is the relevant historical data of the geomagnetic induced current, including the node voltage value, the induced geoelectric field, the distance of the transmission line, the ratio of the no-load phase voltage at the valve side of the transformer to the phase voltage at the grid side, Harmonic current RMS, resistance, conductance, inductance, capacitance, impedance, etc.
步骤102：根据地磁暴时的感应地电场历史数据，构建交流电网变压器谐波源模型、直流电网换流变压器谐波源模型、直流电网换流桥谐波源模型、直流电网谐波网络模型和交流电网谐波网络模型。Step 102: According to the historical data of the induced geoelectric field during the geomagnetic storm, construct the AC grid transformer harmonic source model, the DC grid converter transformer harmonic source model, the DC grid converter bridge harmonic source model, the DC grid harmonic network model and the AC Grid harmonic network model.
步骤103：基于交流电网变压器谐波源模型、直流电网换流变压器谐波源模型、直流电网换流桥谐波源模型、直流电网谐波网络模型和交流电网谐波网络模型，构建交直流电网谐波耦合模型。Step 103: Based on the AC power grid transformer harmonic source model, the DC power grid converter transformer harmonic source model, the DC power grid converter bridge harmonic source model, the DC power grid harmonic network model and the AC power grid harmonic network model, construct the AC and DC power grid Harmonic coupling model.
在步骤103之后还包括：利用所述交直流电网谐波耦合模型获得交直流电网中变压器集群谐波干扰的响应机制，以及确定集群谐波干扰在交直流电网中的传播特征和规律，进而建立电网中的偏磁防御。通过偏磁防御防止电网中因地磁感应电流的偏磁而导致变压器损毁和诱发大面积停电事故。After step 103, it also includes: using the AC-DC grid harmonic coupling model to obtain the response mechanism of the transformer cluster harmonic interference in the AC-DC grid, and determining the propagation characteristics and laws of the cluster harmonic interference in the AC-DC grid, and then establishing Magnetic bias defense in electrical grids. The deflection defense is used to prevent transformer damage and large-scale blackout accidents caused by the bias magnetism of the geomagnetic induction current in the power grid.
交流电网变压器谐波源模型为：The harmonic source model of AC grid transformer is:
I GIC＝(V i-V j)G ij； I GIC = (V i -V j )G ij ;
其中，I GIC为节点i到节点j的地磁感应电流，V i和V j分别为节点i和节点j处的电压值，
Figure PCTCN2022076663-appb-000017
E为感应地电场，L ij为节点i到节点j的输电线路距离，G ij为导纳矩阵。 Among them, I GIC is the geomagnetically induced current from node i to node j, V i and V j are the voltage values at node i and node j respectively,
Figure PCTCN2022076663-appb-000017
E is the induced geoelectric field, L ij is the transmission line distance from node i to node j, and G ij is the admittance matrix.
直流电网换流桥GIC谐波源模型为：The GIC harmonic source model of the DC grid converter bridge is:
Figure PCTCN2022076663-appb-000018
Figure PCTCN2022076663-appb-000018
其中，
Figure PCTCN2022076663-appb-000019
为谐波电流，k T为变压器阀侧空载相电压与网侧相电压的比值，
Figure PCTCN2022076663-appb-000020
为相位，I n为谐波电流有效值，n为谐波次数，n＝12m±1，m为常数，最 大值取为15，m＝1,2,…。 in,
Figure PCTCN2022076663-appb-000019
is the harmonic current, k T is the ratio of the no-load phase voltage on the valve side of the transformer to the phase voltage on the grid side,
Figure PCTCN2022076663-appb-000020
is the phase, I n is the effective value of the harmonic current, n is the harmonic order, n=12m±1, m is a constant, the maximum value is 15, m=1,2,….
直流电网谐波网络模型为：The harmonic network model of DC power grid is:
Figure PCTCN2022076663-appb-000021
Figure PCTCN2022076663-appb-000021
其中，z 0和z M分别为直流线路单位长度的自阻抗和互阻抗，r c为直流线路的电阻，μ 0为真空导磁率；f(n)为频率，ω(n)为角频率；h为导线距地面高度；a eq为分裂导线的等值半径，
Figure PCTCN2022076663-appb-000022
k为分裂导线数，a为分裂导线的半径，s为以分裂导线组成的正多边形的边长，
Figure PCTCN2022076663-appb-000023
W 11、V 11、W 12、V 12均为常系数，D为线路几何均距。 Among them, z 0 and z M are the self-impedance and mutual impedance of the DC line unit length respectively, r c is the resistance of the DC line, μ 0 is the vacuum magnetic permeability; f(n) is the frequency, ω(n) is the angular frequency; h is the height of the conductor from the ground; a eq is the equivalent radius of the split conductor,
Figure PCTCN2022076663-appb-000022
k is the number of split wires, a is the radius of the split wires, s is the side length of the regular polygon composed of split wires,
Figure PCTCN2022076663-appb-000023
W 11 , V 11 , W 12 , and V 12 are all constant coefficients, and D is the geometric mean distance of the line.
交流电网谐波网络模型为：The harmonic network model of the AC grid is:
Figure PCTCN2022076663-appb-000024
Figure PCTCN2022076663-appb-000024
其中，Y(n)为网络矩阵，Z c(n)和γ (n)分别为第一函数和第二函数，
Figure PCTCN2022076663-appb-000025
z(n)和y(n)分别为第三函数和第四函数，z (n)＝r+jω(n)L，y (n)＝g+jω(n)C，r和g分别为电阻和电导，ω(n)为n次谐波下的角频率，L和C分别为电感和电容。 Among them, Y(n) is the network matrix, Z c(n) and γ (n) are the first function and the second function respectively,
Figure PCTCN2022076663-appb-000025
z(n) and y(n) are the third function and the fourth function respectively, z (n) =r+jω(n)L, y (n) =g+jω(n)C, r and g are respectively Resistance and conductance, ω(n) is the angular frequency under the nth harmonic, L and C are inductance and capacitance respectively.
步骤103，具体包括：Step 103 specifically includes:
根据交流电网变压器谐波源模型、直流电网换流变压器谐波源模型、直流电网换流桥谐波源模型输出的电流进行叠加，得到谐波电流注入量；According to the output current of the harmonic source model of the AC grid transformer, the harmonic source model of the DC grid converter transformer, and the harmonic source model of the DC grid converter bridge, the harmonic current injection amount is obtained;
根据直流电网谐波网络模型和交流电网谐波网络模型，确定谐波耦合导纳矩阵；According to the harmonic network model of the DC grid and the harmonic network model of the AC grid, the harmonic coupling admittance matrix is determined;
将交流电网变压器谐波源模型和直流电网换流桥谐波源模型输出的电压进行叠加，得到谐波节点电压向量；The voltage output from the AC grid transformer harmonic source model and the DC grid converter bridge harmonic source model are superimposed to obtain the harmonic node voltage vector;
根据谐波电流注入量、谐波耦合导纳矩阵和谐波节点电压向量，构建交 直流电网谐波耦合模型。According to the harmonic current injection amount, the harmonic coupling admittance matrix and the harmonic node voltage vector, the harmonic coupling model of the AC and DC power grid is constructed.
交直流电网谐波耦合模型为：
Figure PCTCN2022076663-appb-000026
The harmonic coupling model of AC and DC power grid is:
Figure PCTCN2022076663-appb-000026
其中，
Figure PCTCN2022076663-appb-000027
为谐波电流注入量，包括交流电网变压器、直流电网换流变压器以及直流电网换流桥的谐波电流注入；Y N为谐波耦合导纳矩阵，包括交流电网谐波网络和直流电网谐波网络；
Figure PCTCN2022076663-appb-000028
为谐波节点电压向量，包括交流电网变压器，直流电网变压器以及直流电网换流桥的节点谐波电压。 in,
Figure PCTCN2022076663-appb-000027
is the harmonic current injection amount, including the harmonic current injection of AC grid transformer, DC grid converter transformer and DC grid converter bridge; Y N is the harmonic coupling admittance matrix, including AC grid harmonic network and DC grid harmonic network;
Figure PCTCN2022076663-appb-000028
is the harmonic node voltage vector, including the node harmonic voltages of AC grid transformer, DC grid transformer and DC grid converter bridge.
图2为本发明实施例中基于GIC的交直流电网谐波耦合建模方法的流程图，如图2，本发明提供了一种考虑地磁感应电流的交直流电网谐波耦合建模方法。依据地磁暴引起的感应地电场历史典型值，计算交流电网变压器绕组和直流电网换流变绕组的GIC分布，分析交流电网变压器和直流电网换流变压器的直流偏磁特性，建立交流电网变压器和直流电网换流变的谐波源模型，同时，直流电网侧还需考虑换流桥的固有谐波特性，建立换流桥谐波源模型。建立交直流电网的谐波参数网络模型，结合交流电网变压器谐波源模型和直流电网的等值谐波模型，进一步构建交直流电网的谐波耦合模型。本发明可以为交直流电网空间天气灾害下的谐波治理提供理论依据，提高电网的抗灾害风险能力，保证电网的安全运行。Fig. 2 is a flowchart of a GIC-based AC/DC power grid harmonic coupling modeling method in an embodiment of the present invention. As shown in Fig. 2 , the present invention provides a AC/DC power grid harmonic coupling modeling method considering geomagnetic induction current. Based on the historical typical values of the induced geoelectric field caused by geomagnetic storms, calculate the GIC distribution of AC grid transformer windings and DC grid converter transformer windings, analyze the DC bias characteristics of AC grid transformers and DC grid converter transformers, and establish AC grid transformers and DC power grids. At the same time, the DC grid side also needs to consider the inherent harmonic characteristics of the converter bridge to establish a harmonic source model for the converter bridge. The harmonic parameter network model of the AC and DC grid is established, and the harmonic coupling model of the AC and DC grid is further constructed by combining the harmonic source model of the AC grid transformer and the equivalent harmonic model of the DC grid. The invention can provide a theoretical basis for the harmonic wave control under the space weather disaster of the AC and DC power grid, improve the anti-disaster risk capability of the power grid, and ensure the safe operation of the power grid.
具体的，本发明考虑地磁感应电流的交直流电网谐波耦合建模方法，包括：Specifically, the present invention considers the harmonic coupling modeling method of the AC-DC power grid of the geomagnetic induction current, including:
构建交流电网变压器GIC谐波源模型。Construct the harmonic source model of AC grid transformer GIC.
依据地磁暴引起的感应地电场历史典型值，计算交流电网的GIC分布，具体计算模型为：According to the historical typical value of the induced geoelectric field caused by the geomagnetic storm, the GIC distribution of the AC power grid is calculated. The specific calculation model is:
网络中任意两点间的GIC值有：The GIC value between any two points in the network is:
I GIC＝(V i-V j)G ij； I GIC = (V i -V j )G ij ;
其中，节点电压V i为 where the node voltage V i is
Figure PCTCN2022076663-appb-000029
Figure PCTCN2022076663-appb-000029
其中，G ij为导纳矩阵，E为感应地电场，V/km，L ij为输电线路距离，km。 Among them, G ij is the admittance matrix, E is the induced geoelectric field, V/km, and L ij is the distance of the transmission line, km.
交流电网中的GIC流经变压器绕组时会造成变压器发生半波饱和现象。由安培环路定律可知，When the GIC in the AC grid flows through the transformer winding, it will cause half-wave saturation of the transformer. According to Ampere's loop law,
Ni＝Hl；Ni=Hl;
其中，N为绕组匝数，i为绕组电流，H为磁场强度，l为铁芯磁路的有效长度。Among them, N is the number of turns of the winding, i is the winding current, H is the magnetic field strength, and l is the effective length of the core magnetic circuit.
GIC作为准直流，在本发明中按直流电流来处理，直流电流流经变压器绕组后，直流电流流经绕组后会产生一个直流磁通。同时，安培环路定律中的电流I由直流电和交流电组成。GIC作用下安培环路定律为：As a quasi-direct current, the GIC is treated as a direct current in the present invention. After the direct current flows through the transformer winding, a direct current magnetic flux will be generated after the direct current flows through the winding. Meanwhile, the current I in Ampere's loop law consists of direct current and alternating current. Ampere's loop law under the action of GIC is:
NI＝Hl；N1=H1;
本发明采用双曲函数拟合磁化曲线，则有：The present invention adopts hyperbolic function fitting magnetization curve, then has:
H＝xsh(yB)；H=xsh(yB);
其中，B为磁通密度，x、y为与铁芯磁化取向相关的参数Sh()表示双曲函数。Among them, B is the magnetic flux density, x, y are parameters related to the magnetization orientation of the iron core. Sh() represents a hyperbolic function.
GIC作用下磁通密度为：The magnetic flux density under the action of GIC is:
Figure PCTCN2022076663-appb-000030
Figure PCTCN2022076663-appb-000030
其中，A为铁芯的有效面积，K为漏磁系数，Φ为磁通量。Φ AC、Φ DC和Φ m分别表示交流磁通、直流磁通和主磁通。 Among them, A is the effective area of the iron core, K is the flux leakage coefficient, and Φ is the magnetic flux. Φ AC , Φ DC and Φ m represent AC magnetic flux, DC magnetic flux and main magnetic flux, respectively.
GIC作用下，变压器空载下的励磁电流则为：Under the action of GIC, the excitation current of the transformer under no load is:
Figure PCTCN2022076663-appb-000031
Figure PCTCN2022076663-appb-000031
其中，
Figure PCTCN2022076663-appb-000032
与变压器设计有关，作为一设计参数本发明中为常数，地电场E一定的情况下，Φ DC也为一常数。 in,
Figure PCTCN2022076663-appb-000032
Related to transformer design, as a design parameter in the present invention, it is a constant. When the ground electric field E is constant, Φ DC is also a constant.
将
Figure PCTCN2022076663-appb-000033
分别进行傅里叶级数展开，则可获得GIC作用下励磁电流的谐波成分。 Will
Figure PCTCN2022076663-appb-000033
By performing Fourier series expansion separately, the harmonic components of the excitation current under the action of GIC can be obtained.
将获得的GIC作用下的励磁电流描述为：The obtained excitation current under the action of GIC is described as:
Figure PCTCN2022076663-appb-000034
Figure PCTCN2022076663-appb-000034
其中，n为谐波次数，
Figure PCTCN2022076663-appb-000035
为相位。 Among them, n is the harmonic order,
Figure PCTCN2022076663-appb-000035
for the phase.
将励磁电流i n作为一个电流源，替代变压器模型中励磁支路，进一步构 建了变压器的GIC谐波源模型。 Taking the excitation current in as a current source to replace the excitation branch in the transformer model, the GIC harmonic source model of the transformer is further constructed.
直流电网换流变GIC谐波源模型的构建，与交流电网变压器GIC谐波源的建模方法一致，这里不再累述。The construction of the GIC harmonic source model of the DC grid converter transformer is consistent with the modeling method of the AC grid transformer GIC harmonic source, so it will not be repeated here.
构建直流电网换流桥GIC谐波源模型。Construct the harmonic source model of the GIC converter bridge of the DC power grid.
采用双12脉动换流桥结构，构建特征谐波，其数学模型为：The double 12-pulse converter bridge structure is used to construct the characteristic harmonics, and its mathematical model is:
Figure PCTCN2022076663-appb-000036
Figure PCTCN2022076663-appb-000036
其中，k T为变压器阀侧空载相电压与网侧相电压的比值，
Figure PCTCN2022076663-appb-000037
为相位，I n为谐波电流有效值，n＝12m±1，m＝1,2,…。 Among them, k T is the ratio of the no-load phase voltage on the valve side of the transformer to the phase voltage on the grid side,
Figure PCTCN2022076663-appb-000037
is the phase, I n is the effective value of the harmonic current, n=12m±1, m=1,2,….
构建直流电网谐波网络模型。Construct the harmonic network model of DC power grid.
在谐波作用下，直流线路单位长度的自阻抗和互阻抗可表示为：Under the action of harmonics, the self-impedance and mutual impedance per unit length of the DC line can be expressed as:
Figure PCTCN2022076663-appb-000038
Figure PCTCN2022076663-appb-000038
其中，r c为直流线路的电阻；μ 0为真空导磁率；f(n)为频率，ω(n)为角频率；h为导线距地面高度；a eq为分裂导线的等值半径，W 11、W 12、V 11、V 12分别为常系数。 Among them, r c is the resistance of the DC line; μ 0 is the vacuum magnetic permeability; f(n) is the frequency, ω(n) is the angular frequency; h is the height of the wire from the ground; a eq is the equivalent radius of the split wire, W 11 , W 12 , V 11 , and V 12 are constant coefficients, respectively.
其中，分裂导线的等效半径的计算公式为：Among them, the calculation formula of the equivalent radius of the split wire is:
Figure PCTCN2022076663-appb-000039
Figure PCTCN2022076663-appb-000039
其中，
Figure PCTCN2022076663-appb-000040
k为分裂导线数，a为分裂导线的半径，s为以分裂导线组成的正多边形的边长。 in,
Figure PCTCN2022076663-appb-000040
k is the number of split wires, a is the radius of the split wires, and s is the side length of the regular polygon formed by the split wires.
构建交流电网谐波网络模型。Construct the harmonic network model of AC power grid.
交流线路的模型采用导纳矩阵的形式给出，具体为：The model of the AC line is given in the form of an admittance matrix, specifically:
Figure PCTCN2022076663-appb-000041
Figure PCTCN2022076663-appb-000041
其中，
Figure PCTCN2022076663-appb-000042
z (n)＝r+jω(n)L，y (n)＝g+jω(n)C，ω(n)为n次谐波下的角频率，r为电阻，g为电导，L为电感，C为电容。 in,
Figure PCTCN2022076663-appb-000042
z (n) ＝r+jω(n)L, y (n) ＝g+jω(n)C, ω(n) is the angular frequency under the nth harmonic, r is resistance, g is conductance, L is Inductance, C is capacitance.
交流电网中，谐波作用下变压器的模型仅对等值电路参数中L进行调整，即n次谐波下，电感增加n倍，其余参数不变。In the AC power grid, the model of the transformer under the action of harmonics only adjusts L in the equivalent circuit parameters, that is, under the nth harmonic, the inductance increases by n times, and the other parameters remain unchanged.
交流电网中，谐波作用下补偿装置和滤波装置的模型对其模型参数中L和C进行调整，即n次谐波下，电感L增加n倍，电容C增加1/n倍，其余参数不变。In the AC power grid, the model of the compensation device and filter device under the action of harmonics adjusts the L and C of its model parameters, that is, under the nth harmonic, the inductance L increases by n times, the capacitance C increases by 1/n times, and the other parameters are not changed. Change.
构建交直流电网谐波耦合模型。Construct the harmonic coupling model of AC and DC power grid.
采用导纳矩阵进行耦合建模，本发明是基于地磁感应电流注入交流电网变压器和直流电网换流变压器中性点后，引起了变压器直流偏磁，进而产生谐波。同时，直流电网换流桥作为一特征谐波源，也会引起电网谐波分布。为此，交直流电网中存在三个谐波源，根据三个谐波源计算电网的谐波分布，此时，可以用一个通用公式来描述，具体模型为：The admittance matrix is used for coupling modeling, and the invention is based on the fact that after the geomagnetic induction current is injected into the neutral points of the AC power grid transformer and the DC power grid converter transformer, the DC bias magnetic field of the transformer is caused, and then harmonics are generated. At the same time, as a characteristic harmonic source, the converter bridge of the DC power grid will also cause the harmonic distribution of the power grid. For this reason, there are three harmonic sources in the AC and DC power grid, and the harmonic distribution of the power grid is calculated according to the three harmonic sources. At this time, a general formula can be used to describe it. The specific model is:
Figure PCTCN2022076663-appb-000043
Figure PCTCN2022076663-appb-000043
其中，
Figure PCTCN2022076663-appb-000044
为谐波电流注入量，包括交流电网变压器，直流电网换流变以及直流电网换流桥的谐波电流注入；Y N为谐波耦合导纳矩阵，包括交直流网络；
Figure PCTCN2022076663-appb-000045
为谐波节点电压向量，包括交流电网变压器，直流电网换流变以及直流电网换流桥的节点谐波电压。 in,
Figure PCTCN2022076663-appb-000044
is the harmonic current injection amount, including the harmonic current injection of the AC grid transformer, the DC grid converter transformer and the DC grid converter bridge; Y N is the harmonic coupling admittance matrix, including the AC and DC network;
Figure PCTCN2022076663-appb-000045
is the harmonic node voltage vector, including node harmonic voltages of AC grid transformer, DC grid converter transformer and DC grid converter bridge.
具体而言，该建模方法的主要流程是，计算电网GIC的分布以及流经交流电网变压器绕组和直流电网换流变压器绕组的GIC量值，根据GIC量值计算交流电网的变压器谐波源模型和直流电网的换流变压器谐波源模型，考虑到直流电网换流桥本身也是谐波源，本发明将换流桥采用特征谐波进行建模，通过交直流电网网络模型，将交流电网变压器谐波源、直流电网换流变谐波源以及直流电网换流桥谐波源关联起来，建立了交直流电网谐波耦合模型，其整体建模流程如图2所示。Specifically, the main process of this modeling method is to calculate the distribution of the grid GIC and the GIC value flowing through the AC grid transformer winding and the DC grid converter transformer winding, and calculate the transformer harmonic source model of the AC grid based on the GIC value and the harmonic source model of the converter transformer of the DC power grid. Considering that the converter bridge of the DC power grid itself is also a harmonic source, the present invention uses the characteristic harmonics to model the converter bridge. Through the network model of the AC and DC grid, the AC grid transformer The harmonic source, the DC power grid converter harmonic source and the DC power grid converter bridge harmonic source are associated, and the AC-DC power grid harmonic coupling model is established. The overall modeling process is shown in Figure 2.
其中，计算电网GIC分布是依据地磁暴引起的感应地电场，感应地电场的大小与地磁暴的强度有关，地磁暴越大，电网GIC的量值也越大。1989年3月13日诱发加拿大魁北克电网大停电的地磁暴的Dst极大值为-548nT，2004年11月9日地磁暴Dst指数极大值为-282nT，该次地磁暴期间造成广 东岭澳核电站的变压器出现了强烈振动和噪声，同时，变压器中性点实测的GIC峰值高达75.5A，1分钟连续均值也超过了50A。由于谐波只与变压器绕组的GIC量值有关，与持续时间无关，为此，分析地磁暴下的电网谐波效益应以最严重的程度进行。本发明计算电网GIC分布时选择三种不同量值的感应地电场，即1V/km、2V/km和3V/km，且3V/km的地电场基本接近1989年3月13日诱发加拿大魁北克电网大停电的地磁暴。Among them, the calculation of the grid GIC distribution is based on the induced geoelectric field caused by the geomagnetic storm. The magnitude of the induced geoelectric field is related to the intensity of the geomagnetic storm. The greater the geomagnetic storm, the greater the value of the grid GIC. On March 13, 1989, the maximum Dst value of the geomagnetic storm that induced the power grid blackout in Quebec, Canada was -548nT. On November 9, 2004, the maximum value of the Dst index of the geomagnetic storm was -282nT. During this geomagnetic storm, Lingao, Guangdong Province was caused The transformer of the nuclear power plant experienced strong vibration and noise. At the same time, the peak value of GIC measured at the neutral point of the transformer was as high as 75.5A, and the continuous average value of 1 minute also exceeded 50A. Since the harmonics are only related to the GIC value of the transformer winding, and have nothing to do with the duration, the analysis of the harmonic benefits of the power grid under geomagnetic storms should be carried out at the most serious level. The present invention selects three kinds of induced geoelectric fields of different magnitudes when calculating the GIC distribution of the power grid, i.e. 1V/km, 2V/km and 3V/km, and the geoelectric field of 3V/km is basically close to the induced geoelectric field of Quebec, Canada on March 13, 1989. A geomagnetic storm with a blackout.
根据电网GIC分布情况，进一步获得交流电网中所有变压器绕组的GIC量值和直流电网中所有环流变压器绕组的GIC量值，即：According to the distribution of GIC in the grid, the GIC values of all transformer windings in the AC grid and the GIC values of all circulating transformer windings in the DC grid are further obtained, namely:
I GICi＝(V i-V 0)G i； I GICi = (V i -V 0 )G i ;
其中，I GICi为变压器绕组GIC量值，V i为变压器绕组高压端的节点感应电压，V 0为大地感应电压，G i为变压器绕组电导。 Among them, I GICi is the GIC value of the transformer winding, V i is the node induced voltage at the high voltage end of the transformer winding, V 0 is the ground induced voltage, and G i is the conductance of the transformer winding.
根据变压器绕组GIC量值，按照变压器直流偏磁特性，计算交流电网变压器和直流电网环流变压器的励磁电流，将其计算结果描述为：According to the GIC value of the transformer winding and the DC bias characteristics of the transformer, the excitation current of the AC grid transformer and the DC grid circulating transformer are calculated, and the calculation results are described as:
Figure PCTCN2022076663-appb-000046
Figure PCTCN2022076663-appb-000046
其中，n为谐波次数，
Figure PCTCN2022076663-appb-000047
为相位。 Among them, n is the harmonic order,
Figure PCTCN2022076663-appb-000047
for the phase.
根据变压器等值模型，将励磁支路用励磁电流源替代，即可完成变压器GIC谐波源模型的建立。According to the transformer equivalent model, the excitation branch is replaced by the excitation current source, and the establishment of the transformer GIC harmonic source model can be completed.
直流电网换流桥采用特征谐波建立谐波源模型，具体为：The DC power grid converter bridge adopts the characteristic harmonics to establish the harmonic source model, specifically:
Figure PCTCN2022076663-appb-000048
Figure PCTCN2022076663-appb-000048
其中，k T为变压器阀侧空载相电压与网侧相电压的比值，
Figure PCTCN2022076663-appb-000049
为相位，I(n)为谐波电流有效值，n＝12m±1，m＝1,2,…。 Among them, k T is the ratio of the no-load phase voltage on the valve side of the transformer to the phase voltage on the grid side,
Figure PCTCN2022076663-appb-000049
is the phase, I(n) is the RMS value of the harmonic current, n=12m±1, m=1,2,….
根据谐波源模型，结合交直流电网的谐波网络模型，建立谐波耦合模型，将其描述为：According to the harmonic source model, combined with the harmonic network model of the AC and DC grid, the harmonic coupling model is established, which is described as:
Figure PCTCN2022076663-appb-000050
Figure PCTCN2022076663-appb-000050
其中，
Figure PCTCN2022076663-appb-000051
为谐波电流注入量，包括交流电网变压器，直流电网换流变以及直流电网换流桥的谐波电流注入；Y N为谐波耦合导纳矩阵，包括交直流网络；
Figure PCTCN2022076663-appb-000052
为谐波节点电压向量，包括交流电网变压器，直流电网换流变以及直流电网换流桥的节点谐波电压。 in,
Figure PCTCN2022076663-appb-000051
is the harmonic current injection amount, including the harmonic current injection of the AC grid transformer, the DC grid converter transformer and the DC grid converter bridge; Y N is the harmonic coupling admittance matrix, including the AC and DC network;
Figure PCTCN2022076663-appb-000052
is the harmonic node voltage vector, including node harmonic voltages of AC grid transformer, DC grid converter transformer and DC grid converter bridge.
变压器GIC谐波源模型，通过变压器等值电路进行GIC谐波源建模。本发明采用变压器T型等值电路，将原有等值电路中的励磁支路更换为励磁电流源，该励磁电流源是由变压器直流偏磁后计算而得，这也是GIC作用下电网产生谐波的起因和源头，此时的励磁电流作为已知值进行计算谐波分布，图2中，R 1、L 1表示变压器一次绕组的电阻和电感参数，R 2、L 2表示变压器二次绕组的电阻和电感参数。进行谐波计算时，变压器绕组参数与电网参数合并，按照电网谐波网络建模的方法建立对应的模型，为交直流电网谐波耦合建模提供基础参数数据。 Transformer GIC harmonic source model, GIC harmonic source modeling through transformer equivalent circuit. The present invention adopts a transformer T-type equivalent circuit, and replaces the excitation branch in the original equivalent circuit with an excitation current source. The excitation current source is obtained by calculating the DC bias of the transformer. The cause and source of the wave, the excitation current at this time is used as a known value to calculate the harmonic distribution. In Figure 2, R 1 and L 1 represent the resistance and inductance parameters of the primary winding of the transformer, and R 2 and L 2 represent the secondary winding of the transformer resistance and inductance parameters. When performing harmonic calculation, the transformer winding parameters are combined with the grid parameters, and the corresponding model is established according to the grid harmonic network modeling method to provide basic parameter data for the harmonic coupling modeling of the AC and DC grids.
交直流电网谐波的耦合过程，由于引起地磁感应电流的地磁暴在全球几乎同时发生，电网中中性点直接接地的变压器均会有不同量值的GIC流经，这些变压器均为谐波源，同时，由于直流电网换流变压器中性点也直接接地，通过交流电网也可将GIC注入换流变压器绕组，直流输电系统的换流变压器也均为谐波源。还有，直流系统的换流桥也是造成电网谐波的源头，由于换流器件的开关特性，本发明采用特征谐波进行建模。本发明中，考虑地磁感应电流的影响下，交直流电网存在三类谐波源。将这三类谐波源作为交直流电网的激励，进行谐波耦合建模。交直流多谐波源耦合建模的网络示意图如图4。The coupling process of harmonics in AC and DC power grids. Since the geomagnetic storms that cause geomagnetic induction currents occur almost simultaneously around the world, the transformers whose neutral points are directly grounded in the power grid will have different values of GIC flowing through them. These transformers are harmonic sources. At the same time, since the neutral point of the converter transformer of the DC power grid is also directly grounded, the GIC can also be injected into the winding of the converter transformer through the AC power grid, and the converter transformer of the DC power transmission system is also a harmonic source. In addition, the converter bridge of the DC system is also the source of harmonics in the power grid. Due to the switching characteristics of the converter device, the present invention adopts the characteristic harmonics for modeling. In the present invention, under the consideration of the influence of the geomagnetic induction current, there are three types of harmonic sources in the AC and DC power grids. These three types of harmonic sources are used as the excitation of the AC and DC power grid to carry out harmonic coupling modeling. The network schematic diagram of AC-DC multi-harmonic source coupling modeling is shown in Figure 4.
图4给出了一条直流线路，直流线路两端均与交流电网相联，
Figure PCTCN2022076663-appb-000053
和
Figure PCTCN2022076663-appb-000054
分别表示直流线路两端的谐波电压，
Figure PCTCN2022076663-appb-000055
和
Figure PCTCN2022076663-appb-000056
分别表示交流电网变压器GIC引起的谐波注入电流，
Figure PCTCN2022076663-appb-000057
和
Figure PCTCN2022076663-appb-000058
分别表示直流线路两端换流变GIC引起的谐波注入电流。通过交直流网络将谐波源关联起来，利用交直流网络矩阵进一步建立谐波耦合模型。 Figure 4 shows a DC line, both ends of the DC line are connected to the AC grid,
Figure PCTCN2022076663-appb-000053
and
Figure PCTCN2022076663-appb-000054
Respectively represent the harmonic voltage at both ends of the DC line,
Figure PCTCN2022076663-appb-000055
and
Figure PCTCN2022076663-appb-000056
Respectively represent the harmonic injection current caused by the AC grid transformer GIC,
Figure PCTCN2022076663-appb-000057
and
Figure PCTCN2022076663-appb-000058
Respectively represent the harmonic injection current caused by the converter transformer GIC at both ends of the DC line. The harmonic sources are connected through the AC-DC network, and the harmonic coupling model is further established by using the AC-DC network matrix.
图5为本发明实施例中交直流电网谐波耦合建模系统结构示意图，如图5，本发明还一种交直流电网谐波耦合建模系统，包括：Fig. 5 is a schematic structural diagram of an AC/DC power grid harmonic coupling modeling system in an embodiment of the present invention. As shown in Fig. 5 , the present invention also provides an AC/DC power grid harmonic coupling modeling system, including:
历史数据获取模块501，用于获取发生地磁暴时的感应地电场历史数据。The historical data acquisition module 501 is configured to acquire the induced geoelectric field historical data when a geomagnetic storm occurs.
感应地电场模型构建模块502，用于根据地磁暴时的感应地电场历史数据，构建交流电网变压器谐波源模型、直流电网换流变压器谐波源模型、直流电网换流桥谐波源模型、直流电网谐波网络模型和交流电网谐波网络模型。The induced geoelectric field model construction module 502 is used to construct the harmonic source model of the AC power grid transformer, the harmonic source model of the DC power grid converter transformer, the harmonic source model of the DC power grid converter bridge, and the DC power grid according to the historical data of the induced geoelectric field during the geomagnetic storm Grid harmonic network model and AC grid harmonic network model.
交直流电网谐波耦合模型构建模块503，用于基于交流电网变压器谐波源模型、直流电网换流变压器谐波源模型、直流电网换流桥谐波源模型、直流电网谐波网络模型和交流电网谐波网络模型，构建交直流电网谐波耦合模型。AC-DC power grid harmonic coupling model construction module 503, used for harmonic source model based on AC grid transformer, DC grid converter transformer harmonic source model, DC grid converter bridge harmonic source model, DC grid harmonic network model and AC Power grid harmonic network model, constructing a harmonic coupling model of AC and DC power grids.
交流电网变压器谐波源模型为：The harmonic source model of AC grid transformer is:
I GIC＝(V i-V j)G ij； I GIC = (V i -V j )G ij ;
其中，I GIC为节点i到节点j的地磁感应电流，V i和V j分别为节点i和节点j处的电压值，
Figure PCTCN2022076663-appb-000059
E为感应地电场，L ij为节点i到节点j的输电线路距离，G ij为导纳矩阵。 Among them, I GIC is the geomagnetically induced current from node i to node j, V i and V j are the voltage values at node i and node j respectively,
Figure PCTCN2022076663-appb-000059
E is the induced geoelectric field, L ij is the transmission line distance from node i to node j, and G ij is the admittance matrix.
直流电网换流桥GIC谐波源模型为：The GIC harmonic source model of the DC grid converter bridge is:
Figure PCTCN2022076663-appb-000060
Figure PCTCN2022076663-appb-000060
其中，
Figure PCTCN2022076663-appb-000061
为谐波电流，k T为变压器阀侧空载相电压与网侧相电压的比值，
Figure PCTCN2022076663-appb-000062
为相位，I n为谐波电流有效值，n为谐波次数，n＝12m±1，m为常数，最大值取为15，m＝1,2,…。 in,
Figure PCTCN2022076663-appb-000061
is the harmonic current, k T is the ratio of the no-load phase voltage on the valve side of the transformer to the phase voltage on the grid side,
Figure PCTCN2022076663-appb-000062
is the phase, I n is the effective value of the harmonic current, n is the harmonic order, n=12m±1, m is a constant, the maximum value is 15, m=1,2,….
本说明书中各个实施例采用递进的方式描述，每个实施例重点说明的都是与其他实施例的不同之处，各个实施例之间相同相似部分互相参见即可。对于实施例公开的系统而言，由于其与实施例公开的方法相对应，所以描述的比较简单，相关之处参见方法部分说明即可。Each embodiment in this specification is described in a progressive manner, each embodiment focuses on the difference from other embodiments, and the same and similar parts of each embodiment can be referred to each other. As for the system disclosed in the embodiment, since it corresponds to the method disclosed in the embodiment, the description is relatively simple, and for the related information, please refer to the description of the method part.
本文中应用了具体个例对本发明的原理及实施方式进行了阐述，以上实施例的说明只是用于帮助理解本发明的方法及其核心思想；同时，对于本领域的一般技术人员，依据本发明的思想，在具体实施方式及应用范围上均会有改变之处。综上所述，本说明书内容不应理解为对本发明的限制。In this paper, specific examples have been used to illustrate the principle and implementation of the present invention. The description of the above embodiments is only used to help understand the method of the present invention and its core idea; meanwhile, for those of ordinary skill in the art, according to the present invention Thoughts, there will be changes in specific implementation methods and application ranges. In summary, the contents of this specification should not be construed as limiting the present invention.

Claims (10)

  1. 一种交直流电网谐波耦合建模方法，其特征在于，所述方法，包括：A method for modeling harmonic coupling of AC and DC power grids, characterized in that the method includes:
    获取发生地磁暴时的感应地电场历史数据；Obtain the historical data of the induced geoelectric field when a geomagnetic storm occurs;
    根据所述地磁暴时的感应地电场历史数据，构建交流电网变压器谐波源模型、直流电网换流变压器谐波源模型、直流电网换流桥谐波源模型、直流电网谐波网络模型和交流电网谐波网络模型；According to the historical data of the induced geoelectric field during the geomagnetic storm, the harmonic source model of the AC grid transformer, the harmonic source model of the converter transformer of the DC grid, the harmonic source model of the converter bridge of the DC grid, the harmonic network model of the DC grid and the AC Grid harmonic network model;
    基于所述交流电网变压器谐波源模型、所述直流电网换流变压器谐波源模型、所述直流电网换流桥谐波源模型、所述直流电网谐波网络模型和所述交流电网谐波网络模型，构建交直流电网谐波耦合模型。Based on the AC grid transformer harmonic source model, the DC grid converter transformer harmonic source model, the DC grid converter bridge harmonic source model, the DC grid harmonic network model and the AC grid harmonic Network model, constructing a harmonic coupling model of AC and DC power grids.
  2. 根据权利要求1所述的交直流电网谐波耦合建模方法，其特征在于，所述交流电网变压器谐波源模型为：The AC-DC grid harmonic coupling modeling method according to claim 1, wherein the AC grid transformer harmonic source model is:
    I GIC＝(V i-V j)G ij I GIC ＝(V i -V j )G ij
    其中，I GIC为节点i到节点j的地磁感应电流，V i和V j分别为节点i和节点j处的电压值，
    Figure PCTCN2022076663-appb-100001
    E为感应地电场，L ij为节点i到节点j的输电线路距离，G ij为导纳矩阵。     Among them, I GIC is the geomagnetically induced current from node i to node j, V i and V j are the voltage values at node i and node j respectively,
    Figure PCTCN2022076663-appb-100001
    E is the induced geoelectric field, L ij is the transmission line distance from node i to node j, and G ij is the admittance matrix.
  3. 根据权利要求2所述的交直流电网谐波耦合建模方法，其特征在于，所述直流电网换流桥GIC谐波源模型为：The AC-DC grid harmonic coupling modeling method according to claim 2, wherein the GIC harmonic source model of the DC grid converter bridge is:
    Figure PCTCN2022076663-appb-100002
    Figure PCTCN2022076663-appb-100002
    其中，
    Figure PCTCN2022076663-appb-100003
    为谐波电流，k T为变压器阀侧空载相电压与网侧相电压的比值，
    Figure PCTCN2022076663-appb-100004
    为相位，I n为谐波电流有效值，n为谐波次数，n＝12m±1，m为常数，最大值取为15，m＝1,2,…。     in,
    Figure PCTCN2022076663-appb-100003
    is the harmonic current, k T is the ratio of the no-load phase voltage on the valve side of the transformer to the phase voltage on the grid side,
    Figure PCTCN2022076663-appb-100004
    is the phase, I n is the effective value of the harmonic current, n is the harmonic order, n=12m±1, m is a constant, the maximum value is 15, m=1,2,….
  4. 根据权利要求3所述的交直流电网谐波耦合建模方法，其特征在于，所述直流电网谐波网络模型为：The AC-DC grid harmonic coupling modeling method according to claim 3, wherein the DC grid harmonic network model is:
    Figure PCTCN2022076663-appb-100005
    Figure PCTCN2022076663-appb-100005
    其中，z 0和z M分别为直流线路单位长度的自阻抗和互阻抗，r c为直流线路的电阻，μ 0为真空导磁率；f(n)为频率，ω(n)为角频率；h为导线距地面高 度；a eq为分裂导线的等值半径，
    Figure PCTCN2022076663-appb-100006
    k为分裂导线数，a为分裂导线的半径，s为以分裂导线组成的正多边形的边长，
    Figure PCTCN2022076663-appb-100007
    W 11、V 11、W 12、V 12均为常系数，D为线路几何均距。     Among them, z 0 and z M are the self-impedance and mutual impedance of the DC line unit length respectively, r c is the resistance of the DC line, μ 0 is the vacuum magnetic permeability; f(n) is the frequency, ω(n) is the angular frequency; h is the height of the conductor from the ground; a eq is the equivalent radius of the split conductor,
    Figure PCTCN2022076663-appb-100006
    k is the number of split wires, a is the radius of the split wires, s is the side length of the regular polygon composed of split wires,
    Figure PCTCN2022076663-appb-100007
    W 11 , V 11 , W 12 , and V 12 are all constant coefficients, and D is the geometric mean distance of the line.
  5. 根据权利要求4所述的交直流电网谐波耦合建模方法，其特征在于，所述交流电网谐波网络模型为：The AC-DC grid harmonic coupling modeling method according to claim 4, wherein the AC grid harmonic network model is:
    Figure PCTCN2022076663-appb-100008
    Figure PCTCN2022076663-appb-100008
    其中，Y(n)为网络矩阵，Z c(n)和γ (n)分别为第一函数和第二函数，
    Figure PCTCN2022076663-appb-100009
    z(n)和y(n)分别为第三函数和第四函数，z (n)＝r+jω(n)L，y (n)＝g+jω(n)C，r和g分别为电阻和电导，ω(n)为n次谐波下的角频率，L和C分别为电感和电容；l为铁芯磁路的有效长度。     Among them, Y(n) is the network matrix, Z c(n) and γ (n) are the first function and the second function respectively,
    Figure PCTCN2022076663-appb-100009
    z(n) and y(n) are the third function and the fourth function respectively, z (n) =r+jω(n)L, y (n) =g+jω(n)C, r and g are respectively Resistance and conductance, ω(n) is the angular frequency under the nth harmonic, L and C are the inductance and capacitance respectively; l is the effective length of the iron core magnetic circuit.
  6. 根据权利要求5所述的交直流电网谐波耦合建模方法，其特征在于，所述基于所述交流电网变压器谐波源模型、所述直流电网换流变压器谐波源模型、所述直流电网换流桥谐波源模型、所述直流电网谐波网络模型和所述交流电网谐波网络模型，构建交直流电网谐波耦合模型，具体包括：The AC-DC grid harmonic coupling modeling method according to claim 5, characterized in that, the harmonic source model based on the AC grid transformer, the DC grid converter transformer harmonic source model, and the DC grid The converter bridge harmonic source model, the DC power grid harmonic network model and the AC power grid harmonic network model construct the AC-DC power grid harmonic coupling model, specifically including:
    根据所述交流电网变压器谐波源模型、所述直流电网换流变压器谐波源模型、所述直流电网换流桥谐波源模型输出的电流进行叠加，得到谐波电流注入量；Superimpose current output according to the harmonic source model of the AC grid transformer, the harmonic source model of the DC grid converter transformer, and the harmonic source model of the DC grid converter bridge to obtain a harmonic current injection amount;
    根据所述直流电网谐波网络模型和所述交流电网谐波网络模型，确定谐波耦合导纳矩阵；determining a harmonic coupling admittance matrix according to the DC grid harmonic network model and the AC grid harmonic network model;
    将所述交流电网变压器谐波源模型和所述直流电网换流桥谐波源模型输出的电压进行叠加，得到谐波节点电压向量；superimposing the voltages output by the AC grid transformer harmonic source model and the DC grid converter bridge harmonic source model to obtain a harmonic node voltage vector;
    根据所述谐波电流注入量、所述谐波耦合导纳矩阵和所述谐波节点电压向量，构建交直流电网谐波耦合模型。According to the harmonic current injection amount, the harmonic coupling admittance matrix and the harmonic node voltage vector, a harmonic coupling model of an AC and DC power grid is constructed.
  7. 根据权利要求6所述的交直流电网谐波耦合建模方法，其特征在于， 所述交直流电网谐波耦合模型为：
    Figure PCTCN2022076663-appb-100010
    The AC-DC grid harmonic coupling modeling method according to claim 6, wherein the AC-DC grid harmonic coupling model is:
    Figure PCTCN2022076663-appb-100010
    其中，
    Figure PCTCN2022076663-appb-100011
    为谐波电流注入量，包括交流电网变压器、直流电网换流变压器以及直流电网换流桥的谐波电流注入；Y N为谐波耦合导纳矩阵，包括交流电网谐波网络和直流电网谐波网络；
    Figure PCTCN2022076663-appb-100012
    为谐波节点电压向量，包括交流电网变压器，直流电网变压器以及直流电网换流桥的节点谐波电压。     in,
    Figure PCTCN2022076663-appb-100011
    is the harmonic current injection amount, including the harmonic current injection of AC grid transformer, DC grid converter transformer and DC grid converter bridge; Y N is the harmonic coupling admittance matrix, including AC grid harmonic network and DC grid harmonic network;
    Figure PCTCN2022076663-appb-100012
    is the harmonic node voltage vector, including the node harmonic voltages of AC grid transformer, DC grid transformer and DC grid converter bridge.
  8. 一种交直流电网谐波耦合建模系统，其特征在于，所述系统，包括：An AC/DC grid harmonic coupling modeling system, characterized in that the system includes:
    历史数据获取模块，用于获取发生地磁暴时的感应地电场历史数据；The historical data acquisition module is used to acquire the induced geoelectric field historical data when a geomagnetic storm occurs;
    感应地电场模型构建模块，用于根据所述地磁暴时的感应地电场历史数据，构建交流电网变压器谐波源模型、直流电网换流变压器谐波源模型、直流电网换流桥谐波源模型、直流电网谐波网络模型和交流电网谐波网络模型；The induced geoelectric field model building module is used to construct the AC grid transformer harmonic source model, the DC grid converter transformer harmonic source model, and the DC grid converter bridge harmonic source model according to the induced geoelectric field historical data during the geomagnetic storm. , DC grid harmonic network model and AC grid harmonic network model;
    交直流电网谐波耦合模型构建模块，用于基于所述交流电网变压器谐波源模型、所述直流电网换流变压器谐波源模型、所述直流电网换流桥谐波源模型、所述直流电网谐波网络模型和所述交流电网谐波网络模型，构建交直流电网谐波耦合模型。AC-DC power grid harmonic coupling model construction module, used for harmonic source model based on the AC power grid transformer, the DC power grid converter transformer harmonic source model, the DC power grid converter bridge harmonic source model, the DC power grid The grid harmonic network model and the AC grid harmonic network model are used to construct the AC and DC grid harmonic coupling model.
  9. 根据权利要求8所述的交直流电网谐波耦合建模系统，其特征在于，所述交流电网变压器谐波源模型为：The AC-DC grid harmonic coupling modeling system according to claim 8, wherein the AC grid transformer harmonic source model is:
    I GIC＝(V i-V j)G ij I GIC ＝(V i -V j )G ij
    其中，I GIC为节点i到节点j的地磁感应电流，V和V j分别为节点i和节点j处的电压值，
    Figure PCTCN2022076663-appb-100013
    E为感应地电场，L ij为节点i到节点j的输电线路距离，G ij为导纳矩阵。     Among them, I GIC is the geomagnetic induction current from node i to node j, V and V j are the voltage values at node i and node j respectively,
    Figure PCTCN2022076663-appb-100013
    E is the induced geoelectric field, L ij is the transmission line distance from node i to node j, and G ij is the admittance matrix.
  10. 根据权利要求9所述的交直流电网谐波耦合建模系统，其特征在于，所述直流电网换流桥GIC谐波源模型为：The AC-DC grid harmonic coupling modeling system according to claim 9, wherein the GIC harmonic source model of the DC grid converter bridge is:
    Figure PCTCN2022076663-appb-100014
    Figure PCTCN2022076663-appb-100014
    其中，
    Figure PCTCN2022076663-appb-100015
    为谐波电流，k T为变压器阀侧空载相电压与网侧相电压的比值，
    Figure PCTCN2022076663-appb-100016
    为相位，I n为谐波电流有效值，n为谐波次数，n＝12m±1，m为常数，最大值取为15，m＝1,2,…。     in,
    Figure PCTCN2022076663-appb-100015
    is the harmonic current, k T is the ratio of the no-load phase voltage on the valve side of the transformer to the phase voltage on the grid side,
    Figure PCTCN2022076663-appb-100016
    is the phase, I n is the effective value of the harmonic current, n is the harmonic order, n=12m±1, m is a constant, the maximum value is 15, m=1,2,….
PCT/CN2022/076663 2021-11-11 2022-02-17 Alternating current-direct current power grid harmonic coupling modeling method and system WO2023082485A1 (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
GB2308557.4A GB2616187A (en) 2021-11-11 2022-02-17 Alternating current-direct current power grid harmonic coupling modeling method and system

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
CN202111332714.9A CN114117754A (en) 2021-11-11 2021-11-11 AC/DC power grid harmonic coupling modeling method and system
CN202111332714.9 2021-11-11

Publications (1)

Publication Number Publication Date
WO2023082485A1 true WO2023082485A1 (en) 2023-05-19

Family

ID=80378356

Family Applications (1)

Application Number Title Priority Date Filing Date
PCT/CN2022/076663 WO2023082485A1 (en) 2021-11-11 2022-02-17 Alternating current-direct current power grid harmonic coupling modeling method and system

Country Status (3)

Country Link
CN (1) CN114117754A (en)
GB (1) GB2616187A (en)
WO (1) WO2023082485A1 (en)

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN116341394A (en) * 2023-05-29 2023-06-27 南方电网数字电网研究院有限公司 Hybrid driving model training method, device, computer equipment and storage medium

Families Citing this family (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN114117754A (en) * 2021-11-11 2022-03-01 国网内蒙古东部电力有限公司 AC/DC power grid harmonic coupling modeling method and system

Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20180145504A1 (en) * 2015-04-23 2018-05-24 New York University Reduction of geomagnetically induced currents
CN108258682A (en) * 2018-01-11 2018-07-06 内蒙古科技大学 The control method and system of a kind of electric network geomagnetic induction current
CN113034002A (en) * 2021-03-26 2021-06-25 国网江苏省电力有限公司电力科学研究院 Method for analyzing small-disturbance voltage stability of power system by geomagnetic storm
CN114117754A (en) * 2021-11-11 2022-03-01 国网内蒙古东部电力有限公司 AC/DC power grid harmonic coupling modeling method and system

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20180145504A1 (en) * 2015-04-23 2018-05-24 New York University Reduction of geomagnetically induced currents
CN108258682A (en) * 2018-01-11 2018-07-06 内蒙古科技大学 The control method and system of a kind of electric network geomagnetic induction current
CN113034002A (en) * 2021-03-26 2021-06-25 国网江苏省电力有限公司电力科学研究院 Method for analyzing small-disturbance voltage stability of power system by geomagnetic storm
CN114117754A (en) * 2021-11-11 2022-03-01 国网内蒙古东部电力有限公司 AC/DC power grid harmonic coupling modeling method and system

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN116341394A (en) * 2023-05-29 2023-06-27 南方电网数字电网研究院有限公司 Hybrid driving model training method, device, computer equipment and storage medium
CN116341394B (en) * 2023-05-29 2023-09-15 南方电网数字电网研究院有限公司 Hybrid driving model training method, device, computer equipment and storage medium

Also Published As

Publication number Publication date
GB202308557D0 (en) 2023-07-26
CN114117754A (en) 2022-03-01
GB2616187A (en) 2023-08-30

Similar Documents

Publication Publication Date Title
WO2023082485A1 (en) Alternating current-direct current power grid harmonic coupling modeling method and system
Zhang et al. Calculation of DC bias reactive power loss of converter transformer via finite element analysis
Radasky et al. Impacts of geomagnetic storms on EHV and UHV power grids
Oleksyuk et al. Magnetically controlled shunt reactors as sources of current and voltage harmonics
CN105807137A (en) Grounding transformer impedance determining method
Rhode et al. Line impedance measurement: a nondisruptive wideband technique
Yao et al. Harmonics and reactive power of power transformers with DC bias
CN113162246B (en) Power transmission line energy taking device with equivalent impedance adjusting function and application method thereof
Li et al. Research on effects of transformer DC bias on negative sequence protection
Zhou et al. A Duality Based Quasi-Steady-State Model of Three-Phase Five-Limb Sen Transformer
Albert et al. Comparing two topology transformer hysteresis models with power transformer measurements
Yagoub et al. Modeling & Mitigation of Geomagnetically Induced Currents (GICs) for Single-Phase Power Transformer
Li et al. Study on the Effects of the DC Bias on the Harmonic Characteristics of the New Converter Transformer
ZHENG et al. Research on the stimulation modeling of magnetically controlled shunt reactor
Begmatov Research of Ferroresonance in 6-35 kV Electrical Networks Taking Into Account the Dynamic Model of Non-Linear Inductivity of Power Transformer
CN112564039A (en) Adaptive transformer inrush current suppression method
CN107453361B (en) Harmonic transfer matrix calculation method for power induction regulation and control filtering system
Baghzouz et al. Distortion of PV system-transformer excitation current under low power production
Ma et al. Simulation study on converter transformer saturation characteristics due to GIC
Yang et al. A transient model for controlled shunt reactor based on duality theory
Foss et al. GIC simulation using network modeling
Khosravi et al. Evaluation of the GIC module in PSS/E
WiechoWski et al. Harmonic domain modelling of transformer core nonlinearities using the DIgSILENT powerfactory software
Li et al. Research on transmission line model based on phase‐mode transformation in HVDC system
Zhang et al. Field-circuit coupled modelling of superconducting cable for positive and zero sequence impedance analysis

Legal Events

Date Code Title Description
ENP Entry into the national phase

Ref document number: 202308557

Country of ref document: GB

Kind code of ref document: A

Free format text: PCT FILING DATE = 20220217

121 Ep: the epo has been informed by wipo that ep was designated in this application

Ref document number: 22891297

Country of ref document: EP

Kind code of ref document: A1