CN112307699B - VSC-HVDC electromechanical transient simulation method and system based on phase components - Google Patents

VSC-HVDC electromechanical transient simulation method and system based on phase components Download PDF

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CN112307699B
CN112307699B CN202011313108.8A CN202011313108A CN112307699B CN 112307699 B CN112307699 B CN 112307699B CN 202011313108 A CN202011313108 A CN 202011313108A CN 112307699 B CN112307699 B CN 112307699B
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vsc
current
model
converter
hvdc
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CN112307699A (en
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杨欢欢
吴国旸
黄磊
王毅
张建新
宋新立
邱建
戴汉扬
徐光虎
谢家正
李鹏
刘涛
邓韦斯
宋墩文
袁小清
苏志达
穆世霞
李霞
杨泽栋
杨学涛
陈勇
连攀杰
郝韶航
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China Electric Power Research Institute Co Ltd CEPRI
China Southern Power Grid Co Ltd
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China Electric Power Research Institute Co Ltd CEPRI
China Southern Power Grid Co Ltd
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    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/30Circuit design
    • G06F30/36Circuit design at the analogue level
    • G06F30/367Design verification, e.g. using simulation, simulation program with integrated circuit emphasis [SPICE], direct methods or relaxation methods
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2203/00Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
    • H02J2203/20Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
    • YGENERAL 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
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E60/00Enabling technologies; Technologies with a potential or indirect contribution to GHG emissions mitigation
    • Y02E60/60Arrangements for transfer of electric power between AC networks or generators via a high voltage DC link [HVCD]

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Abstract

The invention relates to an electromechanical transient simulation method and system based on phase components, comprising the following steps: establishing a VSC-HVDC converter model based on phase components; carrying out power flow calculation on an alternating current system to obtain voltage U at PCC points at two sides of double-end VSC-HVDC t And current I t The method comprises the steps of carrying out a first treatment on the surface of the Calculating an outer loop control amount based on the voltage and current at the PCC point; calculating VSC side alternating current I based on the outer loop control quantity Re 、I Im The method comprises the steps of carrying out a first treatment on the surface of the Calculating the VSC direct current side current based on the conservation of the power of the VSC direct current side electromechanical transient model of the phase component; establishing a VSC-HVDC direct current line model based on phase components; and inputting the VSC direct-current side current into the VSC-HVDC direct-current line conversion model, and calculating the voltage and current of the direct-current line. The method can give consideration to simulation speed and simulation precision in electromechanical transient simulation.

Description

VSC-HVDC electromechanical transient simulation method and system based on phase components
Technical Field
The invention relates to the field of simulation and modeling of power systems, in particular to an electromechanical transient simulation method and system based on phase components.
Background
The rapid development of new energy power generation and large-scale access to a power grid lead to more and more alternating current-direct current series-parallel modes of the power system, and a large number of Voltage Source Converters (VSCs) exist in the alternating current-direct current series-parallel power grid, so that the running characteristic of the VSCs-HVDC directly influences the dynamic characteristic of the power system containing large-scale new energy power generation, and the simulation of the power system has higher requirements. At present, simulation of an alternating current-direct current series-parallel system is generally focused on electromagnetic transient simulation. The electromagnetic transient simulation precision is high, the switching action of the converter can be reflected, but the electromagnetic transient simulation is limited by small simulation step length, and the electromagnetic transient simulation is difficult to simulate a large-scale alternating current/direct current hybrid power grid. The electromechanical transient simulation has the characteristics of large calculation scale and high simulation speed, so the electromechanical transient simulation becomes an important tool for analyzing the VSC-HVDC. Several electromechanical transient simulation models have been established today, such as a small signal model of a VSC-HVDC two-terminal system, an electromechanical transient model based on a time-varying dynamic phasor direct current model, a VSC electromechanical transient simulation model based on a time-varying dynamic phasor.
Small signal model of VSC-HVDC two-terminal system: in the state equations, the equations are linearized by utilizing a small signal principle, so that the stability problem in direct current transmission is mainly studied.
An electromechanical transient model based on a time-varying dynamic phasor direct current model: separating out the tributary part by the model, and establishing a dynamic vector model for the tributary part; a conventional electromechanical transient model is built for the system with the dc component removed. According to the multi-rate simulation principle, different parts are simulated at different rates, so that the overall simulation speed is increased.
VSC electromechanical transient simulation model based on time-varying dynamic phasors: the simulation problem of the converter under the asymmetric fault is studied by utilizing direct current and frequency doubling components under the dq coordinate system.
The improved model cannot effectively consider the simulation precision and efficiency, and on the basis of summarizing and analyzing the existing electromechanical transient simulation method, the invention provides the VSC-HVDC electromechanical transient simulation model based on the phase components, which can consider the simulation speed and the simulation precision in the electromechanical transient simulation.
Disclosure of Invention
The invention aims to provide a VSC-HVDC electromechanical transient simulation method and system based on phase components, which can give consideration to simulation speed and simulation precision in electromechanical transient simulation.
In order to achieve the above object, the present invention provides the following solutions:
a VSC-HVDC electromechanical transient simulation method based on phase components, the simulation method comprising:
establishing a VSC-HVDC converter model based on phase components; the VSC-HVDC converter model comprises a phase component-based VSC converter alternating current side electromechanical transient model, a phase component-based VSC direct current side electromechanical transient model and a phase component-based VSC control electromechanical transient model;
carrying out power flow calculation on an alternating current system to obtain voltage U at PCC points at two sides of double-end VSC-HVDC t And current I t
Calculating an outer loop control amount based on the voltage and current at the PCC point;
calculating VSC side alternating current I based on the outer loop control quantity Re 、I Im
Calculating the VSC direct current side current based on the conservation of the power of the VSC direct current side electromechanical transient model of the phase component;
establishing a VSC-HVDC direct current line model based on phase components;
and inputting the VSC direct-current side current into the VSC-HVDC direct-current line conversion model, and calculating the voltage and current of the direct-current line.
Optionally, the phase component-based VSC converter ac side electromechanical transient model is as follows:
wherein U is t The PCC point phase voltage; u (U) c Is the converter outlet voltage; u (U) tRe 、U tIm 、U cRe 、U cIm 、I cRe 、I cIm Respectively U t 、U c 、I c Ic is the converter outlet current, lc is the converter outlet side inductance, B c For filtering capacitance, I sRe ,I sIm Is the real part and the imaginary part of alternating system current, and omega is the angular velocity;
the VSC direct current side electromechanical transient model based on the phase components is as follows:
from P d =P c Is available in the form of
Wherein P is c Active power at the alternating current side of the converter; p (P) d Is the power of the direct current side; u (U) dc Is the voltage between the positive and negative bus lines at the direct current side; i d For VSC DC side current, U Re 、U Im The real part and the imaginary part of the voltage at the alternating current side of the converter; i Re 、I Im For the real and imaginary parts of the current on the ac side of the converter, R c The equivalent resistance is the equivalent resistance at the outlet side of the converter;
the VSC control electromechanical transient model based on the phase components comprises an inner ring control model and an outer ring control model, wherein the inner ring control model is simplified to be 1;
the outer loop control model is:
optionally, calculating the outer loop control measure based on the voltage and current at the PCC point specifically uses the following formula:
wherein P is active power control quantity, Q is reactive power control quantity, U tRe 、U tIm 、I tRe 、I tIm Respectively U t And I t The real and imaginary axis components after phase shifting;
calculating real-axis current reference value I by adopting the outer loop control model Reref And virtual axis current reference value I Imref
Optionally, the following formula is specifically adopted for calculating the VSC-side ac-side current based on the outer loop control amount:
I Re =I Reref
I Im =I Imref
optionally, the VSC direct current side current calculated by the VSC direct current side electromechanical transient model power conservation based on the phase component specifically adopts the following formula:
from P d =P c Is available in the form of
Wherein P is c Active power at the alternating current side of the converter; p (P) d Is the power of the direct current side; u (U) dc Is the voltage between the positive and negative bus lines at the direct current side; i d For VSC DC side current, U Re 、U Im The real part and the imaginary part of the voltage at the alternating current side of the converter; i Re 、I Im Is an inverter acReal and imaginary parts of current on the current side, R c Is the equivalent resistance of the outlet side of the converter.
Optionally, the establishing a VSC-HVDC direct current line conversion model based on phase components specifically adopts the following formula:
wherein U is Rei ,U Imi Real and imaginary parts of the voltage of the i node on the line; u (U) Rej ,U Imj For the real and imaginary parts of the voltage at node j on the line, I cRe ,I cIm The real part and the imaginary part of the current when the MMC branch is integrated into the DC side, C conv The method is characterized in that the method is a capacitor with parallel direct current sides, t is simulation time, and delta t is simulation step length.
The invention further provides a VSC-HVDC electromechanical transient simulation system based on phase components, the simulation system comprising:
the converter model building module is used for building a VSC-HVDC converter model based on the phase components; the VSC-HVDC converter model comprises a phase component-based VSC converter alternating current side electromechanical transient model, a phase component-based VSC direct current side electromechanical transient model and a phase component-based VSC control electromechanical transient model;
the power flow calculation module is used for carrying out power flow calculation on the alternating current system to obtain the voltage U at PCC points at two sides of the double-end VSC-HVDC t And current I t
An outer loop control amount calculation module for calculating an outer loop control amount based on the voltage and the current at the PCC point;
a VSC-side ac-side current calculation module configured to calculate a VSC-side ac-side current based on the outer-ring control amount;
the VSC direct-current side current calculation module is used for calculating VSC direct-current side current based on conservation of power of the electromechanical transient model of the VSC direct-current side of the phase component;
the direct current line model change building module is used for building a VSC-HVDC direct current line model change based on phase components;
and the voltage and current calculation module of the direct current line is used for inputting the direct current of the VSC-HVDC direct current line into the VSC-HVDC direct current line conversion model to calculate the voltage and current of the direct current line.
Optionally, the converter model building module specifically adopts the following formula:
the phase component-based alternating current side electromechanical transient model of the VSC converter is as follows:
wherein U is t The PCC point phase voltage; u (U) c Is the converter outlet voltage; u (U) tRe 、U tIm 、U cRe 、U cIm 、I cRe 、I cIm Respectively U t 、U c 、I t Ic is the converter outlet current, lc is the converter outlet side inductance, B c For filtering capacitance, I sRe ,I sIm Is the real part and the imaginary part of alternating system current, and omega is the angular velocity;
the VSC direct current side electromechanical transient model based on the phase components is as follows:
from P d =P c Is available in the form of
Wherein P is c Is an inverter acFlow side active power; p (P) d Is the power of the direct current side; u (U) dc Is the voltage between the positive and negative bus lines at the direct current side; i d For VSC DC side current, U Re 、U Im The real part and the imaginary part of the voltage at the alternating current side of the converter; i Re 、I Im For the real and imaginary parts of the current on the ac side of the converter, R c The equivalent resistance is the equivalent resistance at the outlet side of the converter;
the VSC control electromechanical transient model based on the phase components comprises an inner ring control model and an outer ring control model, wherein the inner ring control model is simplified to be 1;
the outer loop control model is:
according to the specific embodiment provided by the invention, the invention discloses the following technical effects:
1. compared with a small signal model of a system at two ends of the VSC-HVDC, the VSC-HVDC electromechanical transient model based on the phase component can also be used for researching the stability problem in direct current transmission, is also applicable to interaction between converters of a multi-terminal direct current system, can be popularized to large-scale power grid simulation, and can improve the simulation speed while guaranteeing the precision.
2. The VSC-HVDC electromechanical transient model based on the phase component overcomes the inherent data interface and data exchange problems of the time-varying dynamic phasor-based direct current model in electromechanical transient simulation compared with the time-varying dynamic phasor-based direct current model, so that the VSC-HVDC electromechanical transient model based on the phase component is more excellent in simulation speed. Meanwhile, the same model is built for the alternating current system and the direct current system, and the problem that two models are required to be built for the direct current system and the alternating current system in the direct current model based on the time-varying dynamic phasors is solved.
3. Compared with a VSC-HVDC electromechanical transient simulation model based on time-varying dynamic phasors, the VSC-HVDC electromechanical transient model based on the phase components has better applicability, can be popularized to a system containing LCC-HVDC and VSC-HVDC at the same time, and has better universality.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions of the prior art, the drawings that are needed in the embodiments will be briefly described below, it being obvious that the drawings in the following description are only some embodiments of the present invention, and that other drawings may be obtained according to these drawings without inventive effort for a person skilled in the art.
Fig. 1 is a flow chart of a VSC-HVDC electromechanical transient simulation method based on phase components according to an embodiment of the present invention;
fig. 2 is an equivalent circuit of an ac side of the inverter according to the embodiment of the present invention;
fig. 3 is a dc side equivalent circuit of the inverter according to the embodiment of the present invention;
FIG. 4 is a phase component based VSC controlled electromechanical transient model according to an embodiment of the invention;
fig. 5 is a diagram of a converter system with inner loop control according to an embodiment of the present invention;
fig. 6 is a diagram of a converter system with inner loop control based on a phase component model according to an embodiment of the present invention;
FIG. 7 is a diagram of an outer loop control system according to an embodiment of the present invention;
FIG. 8 is a DC side line model according to an embodiment of the present invention;
fig. 9 is a schematic structural diagram of a VSC-HVDC electromechanical transient simulation system based on phase components according to an embodiment of the present invention.
Detailed Description
The following description of the embodiments of the present invention will be made clearly and completely with reference to the accompanying drawings, in which it is apparent that the embodiments described are only some embodiments of the present invention, but not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
The invention aims to provide a VSC-HVDC electromechanical transient simulation method and system based on phase components, which can give consideration to simulation speed and simulation precision in electromechanical transient simulation.
In order that the above-recited objects, features and advantages of the present invention will become more readily apparent, a more particular description of the invention will be rendered by reference to the appended drawings and appended detailed description.
Fig. 1 is a flow chart of a VSC-HVDC electromechanical transient simulation method based on phase components according to an embodiment of the present invention, as shown in fig. 1, the method includes:
step 1: and establishing a VSC-HVDC converter model based on the phase components.
Specifically, the phase component based VSC-HVDC converter model comprises: the method comprises the steps of a phase component-based electromechanical transient model at the alternating current side of the VSC, a phase component-based electromechanical transient model at the direct current side of the VSC and a phase component-based electromechanical transient model for VSC control.
The alternating-current side electromechanical transient model of the VSC converter based on the phase components is as follows:
the AC side model of the converter is a controlled voltage source, and is shown in figure 2, and the column written AC side system model equation is as follows:
each physical quantity in the equation is expressed by a phase component, and a time variable in the phase component is omitted for writing convenience. In view of the similarity of the three phases, the physical properties are described by the a phase in the equation.
Wherein U is t The PCC point phase voltage; u (U) c Is the converter outlet voltage; u (U) tRe 、U tIm 、U cRe 、U cIm 、I cRe 、I cIm Respectively U t 、U c 、I t Ic is the converter outlet current, lc is the converter outlet side inductance, B c For filtering capacitance, I sRe ,I sIm Is the real part and the imaginary part of alternating system current, omega isAngular velocity;
the VSC dc side electromechanical transient model based on the phase components is as follows:
the DC side model of the converter is that a controlled current source is connected with a capacitor in parallel, and the model is shown in figure 3.
The current of the DC side model is calculated as follows, and the DC side current can be obtained by equalizing the injection power of the AC side and the DC side under the condition of neglecting the loss according to the energy conservation relation.
From P d =P c Is available in the form of
Wherein P is c Active power at the alternating current side of the converter; p (P) d Is the power of the direct current side; u (U) dc Is the voltage between the positive and negative bus lines at the direct current side; i d For VSC DC side current, U Re 、U Im The real part and the imaginary part of the voltage at the alternating current side of the converter; i Re 、I Im For the real and imaginary parts of the current on the ac side of the converter, R c The equivalent resistance is the equivalent resistance at the outlet side of the converter;
the VSC control electromechanical transient model based on the phase components is shown in fig. 4, and comprises an inner ring control model and an outer ring control model, wherein the inner ring control model is used for designing an inner ring control-containing converter system structure with independent control of a real axis and an imaginary axis, and the structure is shown in fig. 5. The real axis and the virtual axis are independently controlled in a mode of respectively compensating the real axis variable, the virtual axis variable and the power grid voltage, the fact that the cut-off frequency of the inner ring is one tenth of the switching frequency and the cut-off frequency of the outer ring is one tenth of the cut-off frequency of the inner ring is further considered, the inner ring control of the figure 5 is further simplified, the transfer function of the combination of the inner ring and the converter is regarded as 1, at the moment, the structural simplification of the current control link is shown in the figure 6, and the figure 6 is the VSC inner ring control electromechanical transient model based on the phase components.
Outer loop control model: the outer loop control model is shown in figure 7. It is noted that the outer loop control link in the present invention replaces phase lock with a simple phase shift link due to the phase component form. The decoupling of the real part and the imaginary part of the control quantity is realized by a phase shifting link which takes the phase of the PCC point Ut as a reference phase, which is one of the points of the invention.
Step 2: and carrying out alternating current system tide calculation.
Carrying out power flow calculation on an alternating current system to obtain voltage U at PCC points at two sides of double-end VSC-HVDC t And current I t Output voltage U of step 2 t And current I t Is the input of step 3.
Step 3: and calculating an outer ring control link.
Output quantity voltage U of step 2 by using phase shifting link t Current I t The phase shift is carried out, the information of the voltage phasor and the current phasor can be obtained based on the phase component principle, and then the point U is pointed by PCC (Point ofCommon Coupling, a public connection point in the power system) t Is used as a reference phase to obtain U tRe 、U tIm And I tRe 、I tIm Utilizing U according to control requirements tRe 、U tIm And I tRe 、I tIm The outer loop control amount is calculated as follows:
wherein P is active power control quantity, Q is reactive power control quantity, U tRe 、U tIm 、I tRe 、I tIm Respectively U t And I t The real and imaginary axis components after phase shifting;
calculating real-axis current reference value I by adopting the outer loop control model Reref And virtual axis current reference value I Imref As an input to the inner loop control link.
Step 4: and (5) an inner ring control link and a VSC model are simulated and calculated.
According to the calculation result I of the outer ring control link Reref 、I Imref On one hand, the VSC alternating current measurement current I is calculated by utilizing a VSC model comprising an inner ring control link Re 、I Im ,I Re =I Reref ,I Im =I Imref On the other hand, the VSC direct current measurement current is calculated according to the conservation of power of the VSC direct current side electromechanical transient model based on the phase components. In practice, the calculation process is equation 3 and equation 4:
from P d =P c Is available in the form of
Step 5: and establishing a VSC-HVDC direct current line model change based on the phase components and calculating the direct current line current and voltage.
The direct current side line model adopts a PI type circuit model, see fig. 8, a line model equation is established, and the real part and the imaginary part of the physical quantity in the equation are respectively written, and a series branch equation and a ground capacitance branch equation (taking an i node as an example) are as follows, wherein R is as follows l 、L l 、C l The equivalent resistance, the equivalent inductance and the equivalent capacitance of the circuit are respectively.
And carrying out differential differentiation on the equation, wherein the equation after differential differentiation is as follows:
during modeling, the direct-current side capacitors of each converter are integrated into a direct-current network, and the differential equation of the direct-current side capacitors are respectively as follows:
wherein U is Rei ,U Imi Real and imaginary parts of the voltage of the i node on the line; u (U) Rej ,U Imj For the real and imaginary parts of the voltage at node j on the line, I cRe ,I cIm The real part and the imaginary part of the current when the MMC branch is integrated into the DC side, C conv The method is characterized in that the method is a capacitor with parallel direct current sides, t is simulation time, and delta t is simulation step length.
And (3) according to the VSC direct current measured current output in the step (4), carrying the VSC direct current measured current into a model of a direct current line, and calculating the voltage and the current of the direct current line.
And finally, judging whether the simulation is finished, and if so, inputting a simulation result. Otherwise, updating the voltage U at the PCC point t And then carrying out the next step size calculation.
Fig. 9 is a schematic structural diagram of a VSC-HVDC electromechanical transient simulation system based on phase components according to an embodiment of the present invention, as shown in fig. 9, the system includes:
a converter model construction module 201 for establishing a VSC-HVDC converter model based on phase components; the VSC-HVDC converter model comprises a phase component-based VSC converter alternating current side electromechanical transient model, a phase component-based VSC direct current side electromechanical transient model and a phase component-based VSC control electromechanical transient model;
the power flow calculation module 202 is configured to perform power flow calculation on the ac system to obtain a voltage U at PCC points on two sides of the double-ended VSC-HVDC t And current I t
An outer loop control amount calculation module 203 for calculating an outer loop control amount based on the voltage and current at the PCC points;
a VSC-side ac-side current calculation module 204 for calculating a VSC-side ac-side current based on the outer-loop control amount;
the VSC direct current side current calculation module 205 is configured to calculate a VSC direct current side current based on conservation of power of the VSC direct current side electromechanical transient model of the phase component;
a direct current line change model construction module 206 for establishing a VSC-HVDC direct current line change model based on phase components;
and a voltage and current calculation module 207 of the dc line, configured to input the VSC dc side current into the VSC-HVDC dc line conversion model, and calculate the voltage and current of the dc line.
In the present specification, each embodiment is described in a progressive manner, and each embodiment is mainly described in a different point from other embodiments, and identical and similar parts between the embodiments are all enough to refer to each other. For the system disclosed in the embodiment, since it corresponds to the method disclosed in the embodiment, the description is relatively simple, and the relevant points refer to the description of the method section.
The principles and embodiments of the present invention have been described herein with reference to specific examples, the description of which is intended only to assist in understanding the methods of the present invention and the core ideas thereof; also, it is within the scope of the present invention to be modified by those of ordinary skill in the art in light of the present teachings. In view of the foregoing, this description should not be construed as limiting the invention.

Claims (6)

1. A VSC-HVDC electromechanical transient simulation method based on phase components, characterized in that it comprises:
establishing a VSC-HVDC converter model based on phase components; the VSC-HVDC converter model comprises a phase component-based VSC converter alternating current side electromechanical transient model, a phase component-based VSC direct current side electromechanical transient model and a phase component-based VSC control electromechanical transient model;
carrying out power flow calculation on an alternating current system to obtain voltage U at PCC points at two sides of double-end VSC-HVDC t And current I t
Calculating an outer loop control amount based on the voltage and current at the PCC point; the outer loop control quantity comprises an active power control quantity and a reactive power control quantity;
calculating VSC side alternating current I based on the outer loop control quantity Re 、I Im
Calculating the VSC direct current side current based on the conservation of the power of the VSC direct current side electromechanical transient model of the phase component;
establishing a VSC-HVDC direct current line model based on phase components;
inputting the VSC direct-current side current into the VSC-HVDC direct-current line conversion model, and calculating the voltage and current of a direct-current line;
the phase component-based alternating-current side electromechanical transient model of the VSC converter is as follows:
wherein U is t The PCC point phase voltage; u (U) c Is the converter outlet voltage; u (U) tRe 、U tIm 、U cRe 、U cIm 、I cRe 、I cIm Respectively U t 、U c 、I c Ic is the converter outlet current, lc is the converter outlet side inductance, B c For filtering capacitance, I sRe ,I sIm Is the real part and the imaginary part of alternating system current, and omega is the angular velocity;
the VSC direct current side electromechanical transient model based on the phase components is as follows:
from P d =P c Is available in the form of
Wherein P is c Active power at the alternating current side of the converter; p (P) d Is the power of the direct current side; u (U) dc Is the voltage between the positive and negative bus lines at the direct current side; i d For VSC DC side current, U Re 、U Im The real part and the imaginary part of the voltage at the alternating current side of the converter; i Re 、I Im For the real and imaginary parts of the current on the ac side of the converter, R c The equivalent resistance is the equivalent resistance at the outlet side of the converter;
the VSC control electromechanical transient model based on the phase components comprises an inner ring control model and an outer ring control model, wherein the inner ring control model is simplified to be 1;
the outer loop control model is:
2. the phase component based VSC-HVDC electromechanical transient simulation method according to claim 1, characterized in that the calculation of the outer loop control quantity based on the voltage and current at the PCC point employs in particular the following formula:
wherein P is active power control quantity, Q is reactive power control quantity, U tRe 、U tIm 、I tRe 、I tIm Respectively U t And I t The real and imaginary axis components after phase shifting;
calculating real-axis current reference value I by adopting the outer loop control model Reref And virtual axis current reference value I Imref
3. The VSC-HVDC electromechanical transient simulation method based on phase components according to claim 1, characterized in that the calculation of the VSC-side ac-side current based on the outer loop control quantity specifically employs the following formula:
I Re =I Reref
I Im =I Imref wherein I Reref Is the real axis current reference value, I Imref Is the imaginary axis current reference value.
4. The VSC-HVDC electromechanical transient simulation method based on phase components according to claim 1, characterized in that the VSC direct current side current calculated by the VSC direct current side electromechanical transient model power conservation based on phase components specifically adopts the following formula:
from P d =P c Is available in the form of
Wherein P is c Active power at the alternating current side of the converter; p (P) d Is the power of the direct current side; u (U) dc Is the voltage between the positive and negative bus lines at the direct current side; i d For VSC DC side current, U Re 、U Im The real part and the imaginary part of the voltage at the alternating current side of the converter; i Re 、I Im For the real and imaginary parts of the current on the ac side of the converter, R c Is the equivalent resistance of the outlet side of the converter.
5. The VSC-HVDC electromechanical transient simulation method based on phase components according to claim 1, wherein the establishing of the VSC-HVDC direct current line conversion model based on phase components specifically adopts the following formula:
wherein U is Rei ,U Imi Real and imaginary parts of the voltage of the i node on the line; u (U) Rej ,U Imj For the real and imaginary parts of the voltage at node j on the line, I cRe ,I cIm The real part and the imaginary part of the current when the MMC branch is integrated into the DC side, C conv The method is characterized in that the method is a capacitor with parallel direct current sides, t is simulation time, and delta t is simulation step length.
6. A VSC-HVDC electromechanical transient simulation system based on phase components, characterized in that the simulation system comprises:
the converter model building module is used for building a VSC-HVDC converter model based on the phase components; the VSC-HVDC converter model comprises a phase component-based VSC converter alternating current side electromechanical transient model, a phase component-based VSC direct current side electromechanical transient model and a phase component-based VSC control electromechanical transient model;
the power flow calculation module is used for carrying out power flow calculation on the alternating current system to obtain the voltage U at PCC points at two sides of the double-end VSC-HVDC t And current I t
An outer loop control amount calculation module for calculating an outer loop control amount based on the voltage and the current at the PCC point;
a VSC-side ac-side current calculation module configured to calculate a VSC-side ac-side current based on the outer-ring control amount;
the VSC direct-current side current calculation module is used for calculating VSC direct-current side current based on conservation of power of the electromechanical transient model of the VSC direct-current side of the phase component;
the direct current line model change building module is used for building a VSC-HVDC direct current line model change based on phase components;
the voltage and current calculation module of the direct current line is used for inputting the direct current of the VSC-HVDC direct current line into the VSC-HVDC direct current line conversion model to calculate the voltage and current of the direct current line;
the converter model construction module specifically adopts the following formula:
the phase component-based alternating current side electromechanical transient model of the VSC converter is as follows:
wherein U is t The PCC point phase voltage; u (U) c Is the converter outlet voltage; u (U) tRe 、U tIm 、U cRe 、U cIm 、I cRe 、I cIm Respectively U t 、U c 、I c Ic is the converter outlet current, lc is the converter outlet side inductance, B c For filtering capacitance, I sRe ,I sIm Is the real part and the imaginary part of alternating system current, and omega is the angular velocity;
the VSC direct current side electromechanical transient model based on the phase components is as follows:
from P d =P c Is available in the form of
Wherein P is c Active power at the alternating current side of the converter; p (P) d Is the power of the direct current side; u (U) dc Is the voltage between the positive and negative bus lines at the direct current side; i d For VSC DC side current,U Re 、U Im The real part and the imaginary part of the voltage at the alternating current side of the converter; i Re 、I Im For the real and imaginary parts of the current on the ac side of the converter, R c The equivalent resistance is the equivalent resistance at the outlet side of the converter;
the VSC control electromechanical transient model based on the phase components comprises an inner ring control model and an outer ring control model, wherein the inner ring control model is simplified to be 1; the outer loop control model is:
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