CN106655195A - Calculation method for high-frequency harmonic power flow of active power distribution network - Google Patents

Calculation method for high-frequency harmonic power flow of active power distribution network Download PDF

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Publication number
CN106655195A
CN106655195A CN201710002149.7A CN201710002149A CN106655195A CN 106655195 A CN106655195 A CN 106655195A CN 201710002149 A CN201710002149 A CN 201710002149A CN 106655195 A CN106655195 A CN 106655195A
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harmonic
frequency
distribution network
active power
power distribution
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CN106655195B (en
Inventor
徐斌
金炜
朱明星
李洋
谢辉
王刘芳
盛万兴
丁津津
夏勇
罗亚桥
胡翀
计长安
石磊
洪伟
郑国强
林哲敏
高博
谢毓广
张旭昶
刘星
高敏
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State Grid Corp of China SGCC
China Electric Power Research Institute Co Ltd CEPRI
Electric Power Research Institute of State Grid Anhui Electric Power Co Ltd
Anhui University
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State Grid Corp of China SGCC
China Electric Power Research Institute Co Ltd CEPRI
Electric Power Research Institute of State Grid Anhui Electric Power Co Ltd
Anhui University
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    • 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
    • H02J3/04Circuit arrangements for ac mains or ac distribution networks for connecting networks of the same frequency but supplied from different sources
    • H02J3/06Controlling transfer of power between connected networks; Controlling sharing of load between connected 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]

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  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Supply And Distribution Of Alternating Current (AREA)

Abstract

The invention provides a calculation method for high-frequency harmonic power flow of an active power distribution network, aiming at the problems of how to calculate the high-frequency harmonic power flow of the active power distribution network, and no related calculation methods in the prior art. The calculation method comprises the steps of 1) obtaining a high-frequency harmonic impedance model of each component; 2) performing equivalence on high-frequency background harmonics and voltage source and current source type grid-connected inverters; 3) calculating harmonic voltages of to-be-calculated nodes of the active power distribution network during separate action after equivalence; and 4) obtaining the high-frequency harmonic power flow of the to-be-calculated nodes by utilizing a superposition theorem. According to the method, the high-frequency harmonic power flow of the active power distribution network is obtained by utilizing an equivalent high-frequency harmonic model of the active power distribution network and the superposition theorem in electrotechnics, so that high-frequency harmonic power flow distribution can be mastered more accurately and harmonic control measures can be better established for reducing harmonic control cost and influence on a power system; and therefore, the method has a very important effect for research and development of the active power distribution network.

Description

A kind of computational methods of active power distribution network high-frequency harmonic trend
Technical field
The present invention relates to power system high-frequency harmonic calculating field correlative technology field, specifically, is related to a kind of active The computational methods of formula power distribution network high-frequency harmonic trend.
Background technology
In recent years, becoming increasingly conspicuous with energy shortage and environmental problem, new energy power generation technology is in the big of national policy Power has obtained swift and violent development under supporting, the form of substantial amounts of generation of electricity by new energy device power supply in a distributed manner is linked in electrical network, Its advantage obtains people and more and more pays close attention to.When distributed power source is when gradually making the most of the advantage, also bring to power system A series of negative effect.The difficult problem that distributed power source brings, gradually becomes in recent years work about electric power person and science Research worker focus of interest, is in particular in the high-frequency harmonic of power distribution network injection for impact that trend is distributed etc..
Distributed power source more and more accesses power distribution network, and the passive type power distribution network of the unidirectional trend of tradition is just progressively developed into The active power distribution network of the integrated distributed TRT of bi-directional current.However, as distributed power source is more and more accessed Power distribution network, the problem of its own also increasingly manifests.In a distributed manner form of power is grid-connected generally needs by electric power for regenerative resource Electronic installation is converted into the industrial-frequency alternating current supply load or grid-connected of standard.With the development of technology, what combining inverter was used Power electronic devices mostly is the wholly-controled devices such as IGBT.IGBT belongs to high frequency switching elements, and its switching frequency is very high, is running Cheng Zhonghui produces substantial amounts of high-frequency harmonic.Harmonic superposition causes fundamental waveform Severe distortion on fundamental wave, causes many precisions Device damage, or even cause transformer damage.Simultaneously as in industry nonlinear-load substantial increase, cause electrical network electricity Pressure, current waveform are distorted, and cause harmonic pollution in electric power net.These planning and operation all to power system bring very big Challenge, wherein being increasingly becoming power industry master of interest in recent years to the computational methods of active power distribution network high-frequency harmonic trend Want one of problem.The high-frequency harmonic trend of the active power distribution network of calculating for therefore holding water is conducive to preferably formulating harmonic wave to be controlled Reason measure, reduces the cost that Harmonious Waves in Power Systems is administered, for the active power distribution network of research and development has highly important meaning Justice.However, the high-frequency harmonic trend of active power distribution network this how to be calculated, also without related calculating side in prior art Method.
The content of the invention
The present invention is increasingly becoming in recent years power industry institute for the computational methods of active power distribution network high-frequency harmonic trend The subject matter of concern, the high-frequency harmonic trend of the active power distribution network of calculating for holding water is conducive to preferably formulating harmonic wave to be controlled Reason measure, reduces the cost that Harmonious Waves in Power Systems is administered, for the active power distribution network of research and development has highly important meaning Adopted reality, and the high-frequency harmonic trend of active power distribution network this how to be calculated, also without related in prior art A kind of problem of computational methods, there is provided computational methods of active power distribution network high-frequency harmonic trend.
The technical problem solved required for of the invention, can be achieved through the following technical solutions:
A kind of computational methods of active power distribution network high-frequency harmonic trend, it is characterised in that include:
1) determine the topological structure of active power distribution network and the parameter of each components and parts, obtain the harmonic high frequency wave resistance of each components and parts Anti- model;
2) by the high-frequency harmonic equivalent model harmonic voltage source-representation of active power distribution network high frequency background harmonic wave, by voltage The high-frequency harmonic equivalent model of source type interconnected inverter is connected with a controlled harmonic voltage source and the impedance of inverter Equivalent Harmonic Represent, the high-frequency harmonic equivalent model of current source type combining inverter is equivalent humorous with a controlled harmonic current source and inverter Natural impedance is in parallel to be represented;
3) calculate respectively in active power distribution network, during the independent role of background harmonic voltage source, controlled harmonic voltage source it is independent During effect and during controlled harmonic current source independent role, active power distribution network is intended calculating the harmonic voltage of node;
4) using superposition theorem by background harmonic voltage source independent role when, controlled harmonic voltage source independent role when and receive During control harmonic current source independent role, the harmonic voltage for obtaining is added, and obtains the high-frequency harmonic trend for intending calculating node.
In the present invention, when using superposition theorem, controlled harmonic voltage source and controlled harmonic current source need to consider its list Situation about solely acting on;If controlled harmonic voltage source or controlled harmonic current source are not acted on, controlled harmonic voltage source and receive Control harmonic current source all makees breaking process.
In the present invention, the controlled harmonic voltage sourceIt is expressed as:
Wherein, udcFor the DC voltage of voltage-source type combining inverter, fkFor switch frequency Rate, k is modulation ratio.
In the present invention, the controlled harmonic current sourceIt is expressed as:
Wherein, idcFor the DC side electric current of current source type combining inverter, fkFor switch frequency Rate, k is modulation ratio.
In the present invention, the components and parts include distribution transformer, the high-frequency harmonic impedance model table of the distribution transformer It is shown as:
Wherein, h is the high-frequency harmonic number of times of active power distribution network,For the h subharmonic impedances of distribution transformer,For the impedance of fundamental frequency of distribution transformer.
In the present invention, the components and parts include distribution line, and the high-frequency harmonic impedance model of the distribution line is expressed as:
Wherein, h is the high-frequency harmonic number of times of active power distribution network,For the h subharmonic impedances of distribution line, For the impedance of fundamental frequency of distribution line,For the h subharmonic admittance of distribution line,For the fundamental wave admittance of distribution line.
In the present invention, the components and parts include linear load, described linear when active power distribution network has high-frequency harmonic The high-frequency harmonic impedance model of load is expressed as:
Wherein, h is the high-frequency harmonic number of times of active power distribution network, YhFor the h subharmonic admittance of linear load, RhFor linear The h subharmonic impedances of load parallel resistance, XhFor the h subharmonic impedances of linear load parallel reactance, X1For linear load electricity in parallel Anti- impedance of fundamental frequency.
In the present invention, the active distribution net work structure, including:Form the upper level power supply of high frequency background harmonic wave, Shang Ji electricity Source connects the primary side of distribution transformer, the secondary side connection distribution line of the distribution transformer, the outfan of distribution line Connect linear load, the nonlinear-load comprising voltage-source type combining inverter and comprising the non-of current source type combining inverter Linear load, the plan calculates the outfan that node is arranged on distribution line.
During the background harmonic voltage source independent role, the plan calculates the harmonic voltage of nodeFor:
Wherein,For the voltage in background harmonic voltage source, Yh' it is to convert to the linear load of distribution transformer primary side H subharmonic admittance,For the active distribution network system h subharmonic impedances of distribution transformer primary side,It is conversion to matching somebody with somebody The h secondary distribution transformator harmonic impedances of piezoelectric transformer primary side,For the distribution line h of conversion to distribution transformer primary side Subharmonic impedance.
During the controlled harmonic voltage source independent role, the plan calculates the harmonic voltage of nodeFor:
Wherein,The voltage of controlled harmonic voltage source, YhFor linear load h time of conversion to distribution transformer secondary side Harmonic admittance,To convert the active distribution network system h subharmonic impedances to distribution transformer secondary side,Arrive for conversion The h secondary distribution transformator harmonic impedances of distribution transformer secondary side,For the distribution line h subharmonic of distribution transformer secondary side Impedance,For the equivalent h subharmonic impedance of voltage-source type combining inverter of distribution transformer secondary side.
The controlled harmonic current source independent role, the plan calculates the harmonic voltage of nodeFor:
Wherein,For the electric current of controlled harmonic current source, YhFor linear load h time of conversion to distribution transformer secondary side Harmonic admittance,To convert the active distribution network system h subharmonic impedances to distribution transformer secondary side,Arrive for conversion The h secondary distribution transformator harmonic impedances of distribution transformer secondary side,For the distribution line h subharmonic of distribution transformer secondary side Impedance,For the equivalent h subharmonic impedance of current source type combining inverter of distribution transformer secondary side.
The computational methods of the active power distribution network high-frequency harmonic trend of the present invention, by determining active Distribution Network Harmonics source class Type, using the superposition theorem in active power distribution network equivalent high-frequency harmonic model and electrotechnics, has obtained active power distribution network High-frequency harmonic trend, can more precisely hold the trend distribution of high-frequency harmonic, be conducive to preferably formulating harmonic wave control and arrange Apply, with the impact for reducing harmonic wave control cost and produce to power system, for research and development active distribution network has very Important effect.
Description of the drawings
The present invention is further illustrated below in conjunction with the drawings and specific embodiments.
Fig. 1 is active distribution net work structure schematic diagram provided in an embodiment of the present invention.
Fig. 2A is the high-frequency harmonic impedance model figure of active power distribution network distribution transformer provided in an embodiment of the present invention.
Fig. 2 B are the high-frequency harmonic impedance model figure of active power distribution network transmission line of electricity provided in an embodiment of the present invention.
Fig. 3 is the high-frequency harmonic impedance model figure of active power distribution network linear load provided in an embodiment of the present invention.
Fig. 4 A are active distribution network voltage source type interconnected inverter topology diagram provided in an embodiment of the present invention.
Fig. 4 B are active power distribution network grid-connected current source type inverter topology figure provided in an embodiment of the present invention.
Fig. 5 A are the high-frequency harmonic equivalent model figure of voltage-source type combining inverter provided in an embodiment of the present invention.
Fig. 5 B are the high-frequency harmonic equivalent model figure of current source type combining inverter provided in an embodiment of the present invention
Fig. 6 is active power distribution network high-frequency harmonic equivalent circuit impedance model figure provided in an embodiment of the present invention.
Height when Fig. 7 is active power distribution network background harmonicses (harmonic voltage source) independent role provided in an embodiment of the present invention Frequency harmonic wave equivalent circuit impedance model figure.
High-frequency harmonic when Fig. 8 is active power distribution network controlled harmonic voltage source independent role provided in an embodiment of the present invention Equivalent circuit impedance model figure.
High-frequency harmonic when Fig. 9 is active power distribution network controlled harmonic current source independent role provided in an embodiment of the present invention Equivalent circuit impedance model figure.
Figure 10 is the computational methods flow chart of active power distribution network high-frequency harmonic trend of the invention.
Specific embodiment
In order that the technological means of the present invention, creation characteristic, reached purpose and effect are easy to understand, with reference to tool Body is illustrated, and the present invention is expanded on further.
Idea of the invention is that, by existing active power distribution network high-frequency harmonic Load flow calculation demand analysis, It was found that the existing computational methods for active power distribution network high-frequency harmonic trend to be increasingly becoming power industry in recent years of interest Subject matter, the high-frequency harmonic trend of the active power distribution network of calculating for holding water is conducive to preferably formulating harmonic wave control arranges Apply, reduce the cost that Harmonious Waves in Power Systems is administered, for the active power distribution network tool of research and development is of great significance now Truth condition, and the high-frequency harmonic trend of active power distribution network this how to be calculated, also without related calculating in prior art The problem of method, provides a kind of computational methods of active power distribution network high-frequency harmonic trend to solve above-mentioned asking by the present invention Topic.
Referring to Fig. 1, inventive embodiment provides a kind of active distribution net work structure, and it includes forming high frequency background harmonic wave Upper level power supply, upper level power supply connects the primary side of distribution transformer, the secondary side connection distribution line of distribution transformer, distribution The outfan of circuit connects linear load, the nonlinear-load comprising voltage-source type combining inverter and grid-connected comprising current source type The nonlinear-load of inverter.
With reference to Fig. 1 referring back to Figure 10, due to the computational methods of the active power distribution network high-frequency harmonic trend of the present invention, calculate The process of the high-frequency harmonic trend of any node is just as in active power distribution network, in the present embodiment using by distribution wire The outfan on road is illustrative as calculating node is intended, in the same manner, for the structure of active power distribution network, except this enforcement It is outer shown in example, it is possibility to have other forms, not limitation of the present invention in the present embodiment.
Therefore, of the invention when being calculated, first-selection determines the topological structure of active power distribution network and each components and parts Parameter, the topological structure of active power distribution network mainly includes as shown in Figure 1, upper level power supply, system impedance, distribution transformer, matches somebody with somebody Electric line, linear load and nonlinear-load, then obtain the high-frequency harmonic impedance model of each components and parts.
As shown in Figure 2 A and 2 B, it is the high-frequency harmonic impedance model of active distribution transformer and distribution line.Humorous Under ripple effect, the eddy-current loss in the kelvin effect and iron core of distribution transformer winding all will increase, and relevant information shows, become The substitutional resistance of depressor is substantially directly proportional to the square root of overtone order, its harmonic impedanceCan be expressed as:
Wherein, h is the high-frequency harmonic number of times of active power distribution network,For the h subharmonic impedances of distribution transformer,For the impedance of fundamental frequency of distribution transformer.
When there is high-frequency harmonic in long distribution line in power system, essence can be carried out using the equivalent model of π types True description, this model is used for representing system middle impedance and admittance that this when is per distribution bar circuit using hyperbolic functions Only it is merely that one π types equivalent circuit of demand just can achieve the goal.Now, the harmonic impedance of distribution line can be expressed as:
Wherein, h is the high-frequency harmonic number of times of active power distribution network,For the h subharmonic impedances of distribution line, For the impedance of fundamental frequency of distribution line,For the h subharmonic admittance of distribution line,For the fundamental wave admittance of distribution line.
As shown in figure 3, for the high-frequency harmonic model of active power distribution network linear load.In given frequency, linear load Equivalent impedance is constant, and the active power and reactive power of load absorption are directly proportional to the voltage squared of load, shunt load mould Type is applied to concentrated load of the expression containing induction conductivity, when active power distribution network has high-frequency harmonic, the height of linear load Frequency harmonic impedance model is expressed as:
Wherein, h is the high-frequency harmonic number of times of active power distribution network, YhFor the h subharmonic admittance of linear load, RhFor linear The h subharmonic impedances of load parallel resistance, XhFor the h subharmonic impedances of linear load parallel reactance, X1For linear load electricity in parallel Anti- impedance of fundamental frequency.
Before subsequently being calculated, need illustratively, active power distribution network harmonic high frequency wave source classification, including from actively The high frequency background harmonic wave of formula distribution network system and produced by non-linear electrical equipment (nonlinear-load) in active power distribution network High-frequency harmonic.High frequency background harmonic wave is with harmonic voltage source sign, the equivalent high-frequency harmonic source model of non-linear electrical equipment point For harmonic voltage source harmonic current source two types.To electricity supply and use equipment containing combining inverter (include distributed power source), really Fixed its converter topologies and unsteady flow principle, and then determine high-frequency harmonic Source Type, are controlled harmonic voltage sources or controlled Harmonic current source.
As shown in Figure 4 A and 4 B shown in FIG., the topology diagram of active power distribution network combining inverter.As it was previously stated, active match somebody with somebody The combining inverter of electrical network is broadly divided into voltage-source type and current source type combining inverter.The distributed electrical in active power distribution network Source generally needs the industrial-frequency alternating current for being converted into standard by power electronic equipment to supply load or grid-connected.General power electronics dress Put using PWM controls, their switching process will certainly inject high-frequency harmonic to power distribution network.The distributed electrical for power distribution network Source inventer and the equipment containing power electronic equipment are all nonlinear-loads.
The high-frequency harmonic impedance model of active power distribution network nonlinear-load.Nonlinear-load high-frequency harmonic impedance model master To include voltage-source type and current source type high-frequency harmonic impedance model.High-frequency harmonic of voltage-source type combining inverter etc. in Fig. 5 A Effect model can represent that in Fig. 5 B, current source type is simultaneously with a controlled harmonic voltage source and inverter Equivalent Harmonic impedance series connection The high-frequency harmonic equivalent model of net inverter can be with a controlled harmonic current source and inverter Equivalent Harmonic impedance parallel connection table Show.
In active power distribution network, the source of high-frequency harmonic is usually background harmonicses and power distribution network that higher level's electrical network is handed down The harmonic wave that middle nonlinear-load itself is produced.Background harmonicses are typically delivered to power distribution network in the form of harmonic voltage source.Voltage source The harmonic wave that type nonlinear-load is produced injects power distribution network generally in the form of harmonic voltage.What voltage-source type nonlinear-load was produced The size and spectrum distribution of harmonic voltage is relevant with its circuit parameter.By taking voltage-source type combining inverter as an example, it injects electrical network Harmonic voltage size and frequency spectrum mainly by the size of DC voltage, stability and wholly-controled device switching frequency and The parameters such as modulation ratio are determined, can be equivalent to a controlled harmonic voltage source and inverter Equivalent Harmonic impedance is together in series Represent:
Wherein, udcFor the DC voltage of voltage-source type combining inverter, fkFor switching frequency, k is modulation ratio.
The harmonic wave that current source type nonlinear-load is produced injects power distribution network generally in the form of harmonic current.Current source type is non- The size and spectrum distribution of the harmonic current that linear load is produced is relevant with its circuit parameter.It is with current source type combining inverter Example, it injects the size and frequency spectrum of the harmonic current of electrical network mainly by the size of DC side electric current, stability and full-control type device Switching frequency and modulation ratio of part etc. are determined, can be equivalent to a controlled harmonic current source and inverter Equivalent Harmonic hinders The anti-expression that is together in parallel:
Wherein, idcFor the DC side electric current of current source type combining inverter, fkFor switching frequency, k is modulation ratio.
As shown in fig. 6, active power distribution network high-frequency harmonic equivalent circuit impedance model figure.Active match somebody with somebody obtained above On the basis of power grid high-frequency harmonic impedance model and harmonic high frequency wave source, using superposition theorem by high-frequency harmonic in active power distribution network Each node be overlapped, obtain the high-frequency harmonic trend of whole active power distribution network.When using superposition theorem, for controlled Typically do not consider its independent role in source circuit principle, and for independent source, during voltage source independent role, current source is made at open circuit Reason;During current source independent role, voltage source is made short circuit and is processed.But, in patent of the present invention, controlled harmonic voltage source and controlled The size and spectrum distribution of harmonic current source is not to be controlled by power distribution network external circuit parameter, but by voltage-source type and electricity The internal circuit parameter of stream source type nonlinear-load, control mode etc. affect.Therefore, superposition theorem is utilized in patent of the present invention When, controlled harmonic voltage source and controlled harmonic current source need the situation for considering its independent role;If controlled source is not acted on, all Breaking process should be made.
As shown in fig. 7, to consider active power distribution network high frequency during high frequency background harmonic wave (harmonic voltage source) independent role Harmonic wave equivalent circuit impedance model figure.Circuit impedance in this high-frequency harmonic equivalent circuit impedance model figure is conversion to distribution The impedance of transformator primary side.Now, by high frequency background harmonic wave independent role node 1 (outfan of distribution line) it is humorous Wave voltage is:
Wherein,For the voltage in background harmonic voltage source, Yh' it is to convert to the linear load of distribution transformer primary side H subharmonic admittance,For the active distribution network system h subharmonic impedances of distribution transformer primary side,It is conversion to matching somebody with somebody The h secondary distribution transformator harmonic impedances of piezoelectric transformer primary side,For the distribution line h of conversion to distribution transformer primary side Subharmonic impedance..
As shown in figure 8, for active power distribution network controlled harmonic voltage source independent role when high-frequency harmonic equivalent circuit resistance Anti- illustraton of model.Circuit impedance in this high-frequency harmonic equivalent circuit impedance model figure is conversion to distribution transformer secondary side Impedance.Now, it is by the harmonic voltage of the node 1 of controlled harmonic voltage source independent role:
Wherein,For the voltage of controlled harmonic voltage source, YhFor linear load h of conversion to distribution transformer secondary side Subharmonic admittance,To convert the active distribution network system h subharmonic impedances to distribution transformer secondary side,For conversion To the h secondary distribution transformator harmonic impedances of distribution transformer secondary side,Distribution line h time for distribution transformer secondary side is humorous Natural impedance,For the equivalent h subharmonic impedance of voltage-source type combining inverter of distribution transformer secondary side.
As shown in figure 9, for active power distribution network controlled harmonic current source independent role when high-frequency harmonic equivalent circuit resistance Anti- illustraton of model.Circuit impedance in this high-frequency harmonic equivalent circuit impedance model figure is conversion to distribution transformer secondary side Impedance.Now, it is by the harmonic voltage of the node 1 of controlled harmonic current source independent role:
Wherein,For the electric current of controlled harmonic current source, YhFor linear load h time of conversion to distribution transformer secondary side Harmonic admittance,To convert the active distribution network system h subharmonic impedances to distribution transformer secondary side,Arrive for conversion The h secondary distribution transformator harmonic impedances of distribution transformer secondary side,For the distribution line h subharmonic of distribution transformer secondary side Impedance,For the equivalent h subharmonic impedance of current source type combining inverter of distribution transformer secondary side.
The harmonic voltage that above-mentioned each harmonic wave independent role is obtained at node 1 is added, that is, obtain active power distribution network high Trend of the frequency harmonic wave at node 1.
The specific embodiment of patent of the present invention illustrates the meter of active power distribution network high-frequency harmonic trend by taking node 1 as an example Calculation method, the harmonic flow calculation at other nodes is identical with the method at node 1, no longer carries out tired stating.
Below only preferred embodiments of the present invention are described, but are not to be construed as limiting the scope of the invention.This Invention is not only limited to above example, and its concrete structure allows to change.In a word, all guarantors in independent claims of the present invention The various change made in the range of shield is within the scope of the present invention.

Claims (10)

1. a kind of computational methods of active power distribution network high-frequency harmonic trend, it is characterised in that include:
1) determine the topological structure of active power distribution network and the parameter of each components and parts, obtain the high-frequency harmonic modulus of impedance of each components and parts Type;
2) by the high-frequency harmonic equivalent model harmonic voltage source-representation of active power distribution network high frequency background harmonic wave, by voltage-source type The high-frequency harmonic equivalent model of combining inverter is connected with a controlled harmonic voltage source and the impedance of inverter Equivalent Harmonic and is represented, The high-frequency harmonic equivalent model of current source type combining inverter is hindered with a controlled harmonic current source and inverter Equivalent Harmonic Anti- expression in parallel;
3) calculate respectively in active power distribution network, during the independent role of background harmonic voltage source, controlled harmonic voltage source independent role When and during controlled harmonic current source independent role, active power distribution network is intended calculating the harmonic voltage of node;
4) using superposition theorem by background harmonic voltage source independent role when, controlled harmonic voltage source independent role when and it is controlled humorous During ripple current source independent role, the harmonic voltage for obtaining is added, and obtains the high-frequency harmonic trend for intending calculating node.
2. computational methods of a kind of active power distribution network high-frequency harmonic trend according to claim 1, it is characterised in that: During using superposition theorem, controlled harmonic voltage source and controlled harmonic current source need to consider the situation of its independent role;If controlled When harmonic voltage source or controlled harmonic current source are not acted on, then controlled harmonic voltage source and controlled harmonic current source all make open circuit Process.
3. computational methods of a kind of active power distribution network high-frequency harmonic trend according to claim 1, it is characterised in that:Institute State controlled harmonic voltage sourceIt is expressed as:
Wherein, udcFor the DC voltage of voltage-source type combining inverter, fkFor switching frequency, k For modulation ratio;
The controlled harmonic current sourceIt is expressed as:
Wherein, idcFor the DC side electric current of current source type combining inverter, fkFor switching frequency, k is Modulation ratio.
4. computational methods of a kind of active power distribution network high-frequency harmonic trend according to claim 1, it is characterised in that:Institute Components and parts are stated including distribution transformer, the high-frequency harmonic impedance model of the distribution transformer is expressed as:
Z T h = R T h + jX T h = h R T 1 + jhX T 1
Wherein, h is the high-frequency harmonic number of times of active power distribution network,For the h subharmonic impedances of distribution transformer,For The impedance of fundamental frequency of distribution transformer.
5. computational methods of a kind of active power distribution network high-frequency harmonic trend according to claim 1, it is characterised in that:Institute Components and parts bag distribution line is stated, the high-frequency harmonic impedance model of the distribution line is expressed as:
Z l h = R l h + jX l h = h R l 1 + jhX l 1
Y l h = hY l 1
Wherein, h is the high-frequency harmonic number of times of active power distribution network,For the h subharmonic impedances of distribution line,Be with The impedance of fundamental frequency of electric line, Yl hFor the h subharmonic admittance of distribution line, Yl 1For the fundamental wave admittance of distribution line.
6. computational methods of a kind of active power distribution network high-frequency harmonic trend according to claim 1, it is characterised in that:Institute Components and parts bag linear load is stated, when there is high-frequency harmonic in active power distribution network, the high-frequency harmonic modulus of impedance of the linear load Type is expressed as:
Y h = 1 R h - j 1 X h = 1 R h - j h 1 X 1
Wherein, h is the high-frequency harmonic number of times of active power distribution network, YhFor the h subharmonic admittance of linear load, RhFor linear load The h subharmonic impedances of parallel resistance, XhFor the h subharmonic impedances of linear load parallel reactance, X1For linear load parallel reactance Impedance of fundamental frequency.
7. according to the computational methods of the arbitrary described a kind of active power distribution network high-frequency harmonic trend of claim 1 to 6, its feature It is:The active distribution net work structure, including:The upper level power supply of high frequency background harmonic wave is formed, upper level power supply connection distribution becomes The primary side of depressor, the secondary side connection distribution line of the distribution transformer, the outfan connection linear load of distribution line, Nonlinear-load comprising voltage-source type combining inverter and the nonlinear-load comprising current source type combining inverter, it is described Intend calculating the outfan that node is arranged on distribution line.
8. computational methods of a kind of active power distribution network high-frequency harmonic trend according to claim 7, it is characterised in that:Institute When stating background harmonic voltage source independent role, the plan calculates the harmonic voltage of nodeFor:
U h , 1 · ′ = U h · 1 Y h ′ 1 Y h ′ + jX S h ′ + Z T h ′ + Z l h ′
Wherein,For the voltage in background harmonic voltage source, Yh' it is h time converted to the linear load of distribution transformer primary side Harmonic admittance,For the active distribution network system h subharmonic impedances of distribution transformer primary side,Become for conversion to distribution The h secondary distribution transformator harmonic impedances of depressor primary side,Distribution line h time for conversion to distribution transformer primary side is humorous Natural impedance.
9. computational methods of a kind of active power distribution network high-frequency harmonic trend according to claim 7, it is characterised in that:Institute When stating controlled harmonic voltage source independent role, the plan calculates the harmonic voltage of nodeFor:
U h , 1 · ′ ′ = U L h · 1 Y h | | ( jX S h + Z T h + Z l h ) [ 1 Y h | | ( jX S h + Z T h + Z l h ) ] + Z L h
Wherein,For the voltage of controlled harmonic voltage, YhLinear load h subharmonic for conversion to distribution transformer secondary side is led Receive,To convert the active distribution network system h subharmonic impedances to distribution transformer secondary side,Become for conversion to distribution The h secondary distribution transformator harmonic impedances of depressor secondary side,For the distribution line h subharmonic impedances of distribution transformer secondary side,For the equivalent h subharmonic impedance of voltage-source type combining inverter of distribution transformer secondary side.
10. computational methods of a kind of active power distribution network high-frequency harmonic trend according to claim 7, it is characterised in that: The controlled harmonic current source independent role, the plan calculates the harmonic voltage of nodeFor:
U h , 1 · ′ ′ ′ = I L h · Z L h 1 Y h | | ( jX S h + Z T h + Z l h ) [ 1 Y h | | ( jX S h + Z T h + Z l h ) ] + Z L h
Wherein,For the electric current of controlled harmonic current source, YhFor the linear load h subharmonic of conversion to distribution transformer secondary side Admittance,To convert the active distribution network system h subharmonic impedances to distribution transformer secondary side,For conversion to distribution The h secondary distribution transformator harmonic impedances of Circuit Fault on Secondary Transformer,Distribution line h subharmonic for distribution transformer secondary side hinders It is anti-,For the equivalent h subharmonic impedance of current source type combining inverter of distribution transformer secondary side.
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CN115420948A (en) * 2022-08-15 2022-12-02 北京印刷学院 Power distribution network harmonic tracing method based on multi-voltage source type converter networking

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Cited By (8)

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Publication number Priority date Publication date Assignee Title
CN108879758A (en) * 2018-06-19 2018-11-23 广东电网有限责任公司 A kind of grid-connected converter harmonic wave damping algorithm based on coevolution
CN109116183A (en) * 2018-06-28 2019-01-01 全球能源互联网研究院有限公司 Harmonic-model parameter identification method, device, storage medium and electronic equipment
CN109116183B (en) * 2018-06-28 2020-07-31 全球能源互联网研究院有限公司 Harmonic model parameter identification method and device, storage medium and electronic equipment
CN111106618A (en) * 2018-10-25 2020-05-05 中国电力科学研究院有限公司 Harmonic analysis method and device for new energy power generation equipment to access power system
CN111106618B (en) * 2018-10-25 2023-10-20 中国电力科学研究院有限公司 Harmonic analysis method and device for access of new energy power generation equipment to power system
CN110568265A (en) * 2019-10-17 2019-12-13 江苏远致能源科技有限公司 Impedance identification method and system based on low-voltage distribution network
CN115420948A (en) * 2022-08-15 2022-12-02 北京印刷学院 Power distribution network harmonic tracing method based on multi-voltage source type converter networking
CN115420948B (en) * 2022-08-15 2024-06-07 北京印刷学院 Power distribution network harmonic tracing method based on multi-voltage source converter networking

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