CN105356481B - A kind of dynamic passive compensation reconnaissance method based on more feed-in short-circuit ratioes - Google Patents

A kind of dynamic passive compensation reconnaissance method based on more feed-in short-circuit ratioes Download PDF

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CN105356481B
CN105356481B CN201510794734.6A CN201510794734A CN105356481B CN 105356481 B CN105356481 B CN 105356481B CN 201510794734 A CN201510794734 A CN 201510794734A CN 105356481 B CN105356481 B CN 105356481B
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bus
node
compensation device
voltage
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CN105356481A (en
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王雅婷
张彦涛
周勤勇
张驰
张一驰
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State Grid Corp of China SGCC
China Electric Power Research Institute Co Ltd CEPRI
State Grid Shanghai Electric Power Co Ltd
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State Grid Corp of China SGCC
China Electric Power Research Institute Co Ltd CEPRI
State Grid Shanghai Electric Power Co Ltd
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Abstract

The present invention provides a kind of dynamic passive compensation reconnaissance method based on more feed-in short-circuit ratioes, comprising the following steps: establishes Jacobian matrix and solves the voltage influence factor;More feed-in short-circuit ratioes are determined according to the voltage influence factor;Establish each website installation dynamic reactive compensation device effect assessment objective function and corresponding constraint condition;Using the preferred dynamic reactive compensation device installation point of genetic algorithm.The present invention considers the reciprocal effect between multiple-circuit line route, and the selection of the dynamic reactive compensation device installation point in feed-in areas more for China's direct current provides effective ways and technical support;And influence of each element responds characteristic to system stability in dynamic process is considered, reconnaissance method is more realistic, has engineering application value;The present invention carries out dynamic reconnaissance optimization using genetic algorithm, and computational efficiency is high.

Description

A kind of dynamic passive compensation reconnaissance method based on more feed-in short-circuit ratioes
Technical field
The invention belongs to technical field of power systems, and in particular to a kind of dynamic passive compensation based on more feed-in short-circuit ratioes Reconnaissance method.
Background technique
The load centers areas such as China East China Yangtze River Delta are limited by the development of local normal power supplies, and more direct currents will be presented in future Feed-in structure is concentrated, the system failure may cause multiple-circuit line and chain reaction occurs, and cause Voltage-stabilizing Problems.Domestic external power grid Operating experience shows all being related to REACTIVE POWER/VOLTAGE CONTROL problem, and dynamic reactive compensation device is more satisfactory solution party Case, dynamic reactive compensation device control strategy is flexible, fast response time, and the Voltage-stabilizing Problems of multi-infeed DC receiving end power grid can It is considered as dynamic reactive compensation device, improves the voltage support ability of extra-high voltage grid, is especially disturbed in system failure After dynamic, the fast quick-recovery for realizing system weak spot voltage is helped.
In view of receiving end Net Frame of Electric Network is intensive, land resource scarcity is installed dynamic reactive compensation device in substation and is held Vulnerable to the limitation of site, so, dynamic passive compensation allocation plan can should be selected in the case where reaching effect same Capacity minimum or the least scheme of configuration site, need to determine by optimizing.
More feed-in short-circuit ratioes are relatively common for measuring exchange in multi-infeed DC power grid for DC support ability Index, be widely used, but it is defined as static index, be only capable of reflection network topology structure, can not count and dynamic element model. And stability of power system focuses on the system performance in dynamic process under each element responds, various dynamic elements such as generator mould Type, load model, DC control model, dynamic passive compensation model etc. are affected to voltage stability.Currently, both at home and abroad The weakness zone that existing dynamic reactive compensation device configuration method is generally basede on static voltage stability carries out reconnaissance, not yet comprehensive Consider multi-infeed DC system performance and dynamic element model characteristics.
Summary of the invention
In order to overcome the above-mentioned deficiencies of the prior art, the present invention provides a kind of dynamic reactive benefit based on more feed-in short-circuit ratioes Reconnaissance method is repaid, reconnaissance method is more realistic, has engineering application value.
In order to achieve the above-mentioned object of the invention, the present invention adopts the following technical scheme that:
The present invention provides a kind of dynamic passive compensation reconnaissance method based on more feed-in short-circuit ratioes, and the method includes following Step:
Step 1: establishing Jacobian matrix and solve the voltage influence factor;
Step 2: more feed-in short-circuit ratioes are determined according to the voltage influence factor;
Step 3: establishing each website installation dynamic reactive compensation device effect assessment objective function and corresponding constraint condition;
Step 4: using the preferred dynamic reactive compensation device installation point of genetic algorithm.
The step 1 the following steps are included:
Step 1-1: consider dynamic element model, establish power balance equation;
Step 1-2: establishing Jacobian matrix, and solves the voltage influence factor.
In the step 1-1, dynamic element model includes generator model, load model, DC control model and dynamic Reactive power compensation device model.
In the step 1-1, following power balance equation is established:
Wherein, Δ Pi、ΔQiRespectively indicate the active power variable quantity and reactive power variable quantity of node i injection, PGi、QGi Respectively indicate the active power output and idle power output of generator injection node i, PLi、QLiRespectively indicate the burden with power and nothing of node i Workload, PDiIndicate the dc power of node i, QDiIndicate the reactive power of DC filter capacitor injection node i, Ui、UjRespectively Indicate the voltage of node i, j, QSiIndicate the idle power output of dynamic reactive compensation device injection node i, Gij、BijRespectively indicate section Conductance and susceptance between point i, j, θijPhase difference of voltage between expression node i, j, i=1,2 ... ..., n, j=1, 2 ... ..., n, n are node total number.
In the step 1-2, following Jacobian matrix equation is established:
Wherein, MIIFlkIndicate the voltage influence factor of bus l opposing busbars k, and MIIFlk=Δ Ul/ΔUk, Δ UlTable Show the voltage variety of bus l, Δ UkIndicate the voltage variety of bus k;
Jacobian matrix element Hii、Nii、Mii、LiiIt calculates according to the following formula:
Wherein, GiiIndicate the conductance of node i, BiiIndicate the susceptance of node i;
It respectively indicates are as follows:
Wherein, Ei" indicate generator potential, θδiIndicate Ei" and UiPhase angle difference, X "diIndicate the super transient state electricity of generator d axis It is anti-;If node i is constant current load bus,It respectively indicates are as follows:
Wherein, IPi、IQiRespectively indicate the watt current and reactive current of constant current load bus;
If node i is constant impedance load bus,It respectively indicates are as follows:
Wherein, Gi、BiRespectively indicate the conductance and susceptance of constant impedance load bus;
If node i is DC line access node,It respectively indicates are as follows:
Wherein, IdIndicate DC current, ntIndicate six pulse conversion devices series connection number, kTIndicate converter power transformer no-load voltage ratio, kγ Indicate the equivalent no-load voltage ratio of converter power transformer, θdIndicate the direct current angle of overlap of rectification side or the blow-out angle of inverter side, XcIndicate equivalent commutation Reactance;Indicate Equivalent Power Factor angle, and
If node i is that dynamic reactive compensation device installs node,It indicates are as follows:
Wherein, BiIndicate the susceptance of dynamic passive compensation installation node, and Bi=-K Δ Ui=-K (Ui-Ui0), Δ UiIt indicates Voltage deviation before and after dynamic reactive compensation device, U are installedi0Indicate the initial voltage of dynamic reactive compensation device installation node, K Indicate proportionality coefficient.
In the step 2, the drop point that pth returns DC line is bus l, and the drop point that q returns DC line is bus k, root More feed-in short-circuit ratioes are determined according to the voltage influence factor, are had:
Wherein, MISCR 'pIndicate that pth returns more feed-in short-circuit ratioes of DC line, SlIndicate the system short circuit capacity of bus l, PpIndicate that pth returns the power of DC line, PqIndicate that q returns the power of DC line, MIIFlkIndicate bus l opposing busbars k's The voltage influence factor, and MIIFlk=Δ Ul/ΔUk, Δ UlIndicate the voltage variety of bus l, Δ UkIndicate the voltage of bus k Variable quantity, m indicate that returning for DC line counts in the more feed-in power grids of direct current.
In the step 3, each website installation dynamic reactive compensation device effect assessment objective function is established, is had:
Wherein, f indicates that each website installs dynamic reactive compensation device effect assessment objective function,Indicate that pth returns direct current The equivalent weight coefficient of route, has:
Wherein, ωpIndicate that pth returns the weight coefficient of DC line, ωqIndicate that q returns the weight coefficient of DC line, ωp、ωqReflect that pth, q return influence of the DC line to other direct currents in the more feed-in power grids of direct current respectively, have:
Wherein, ZpqIndicate the equivalent resistance that pth is returned between DC line change of current bus and q times DC line change of current buses It is anti-, ZppIndicate that pth returns the equivalent impedance of DC line change of current bus, ZqqIndicate that q returns the equivalent resistance of DC line change of current bus It is anti-;
It is as follows that each website installs the corresponding constraint condition of dynamic reactive compensation device effect assessment objective function additional:
Wherein, Pl、QlRespectively indicate the active power and reactive power of bus l, Ul、UkRespectively indicate the electricity of bus l, k Pressure,WithRespectively indicate the upper voltage limit and lower limit of bus k, Glk、BlkRespectively indicate conductance between bus l, k and Susceptance, θlkIndicate the phase difference of voltage between bus l, k, IkIndicate the short circuit current of bus k,Indicate the short circuit of bus k Upper current limit, SrIndicate the power of branch r,Indicate the upper limit of the power of branch r.
In the step 4, using the preferred dynamic reactive compensation device installation point of genetic algorithm, comprising:
(1) setting evolutionary generation t is 0, and maximum evolutionary generation T and individual in population number M is arranged;
(2) it selects s node as dynamic reactive compensation device installation point in n node, then sharesIt is a to deposit Dynamic reactive compensation device reconnaissance strategy, and to reactive power compensator reconnaissance strategy carry out gene coding, gene coding length L is spent to meetThe value of each bit of gene code length is 0 or 1;
(3) random to generate M individual as initial population P0, each dynamic reactive compensation device reconnaissance strategy is as one Individual;
(4) fitness of each individual is calculated, i.e., each website installs dynamic reactive compensation device effect assessment objective function Value;
(5) distribute a random number for each parent individuality, and according to corresponding random number to parent individuality according to from big It being ranked up to small sequence, two neighboring parent individuality is hybridized, some bit in random selection gene order, and two The 0 of bit or 1 are interchangeable by parent individuality, are generated offspring individual, are calculated the fitness of offspring individual, and offspring individual is added Enter into parent individuality composition parent group;
(6) parent group is screened, M individual before retaining according to individual adaptation degree size;
(7) some individual is randomly choosed, and randomly chooses a bit in the genes of individuals sequence, is overturn, is obtained Next-generation group;
(8) if t=T, the individual using in evolutionary process with maximum adaptation degree is exported as optimal solution, that is, completes dynamic Reactive power compensator installation point it is preferred;If t < T, (4)~(8) are repeated.
Compared with the immediate prior art, technical solution provided by the invention is had the advantages that
1. the present invention is using more feed-in short-circuit ratioes as the measurement index of idle investment, dynamic in feed-in power grids more for direct current State reactive power compensator installation point carries out preferred, it is contemplated that and the reciprocal effect between multiple-circuit line route is more for China's direct current The selection of the dynamic reactive compensation device installation point in feed-in area provides effective ways and technical support;
2. the present invention comprehensively considers multi-infeed DC system performance and dynamic element model characteristics, by generator, load, straight The dynamic elements model such as stream, dynamic reactive compensation device is brought into the measurement index of more feed-in short-circuit ratioes, it is contemplated that dynamic mistake Influence of each element responds characteristic to system stability in journey, reconnaissance method is more realistic, has engineering application value;
3. the present invention carries out dynamic reconnaissance optimization using genetic algorithm, it is not based on time-domain-simulation, computational efficiency is high.
Detailed description of the invention
Fig. 1 is the dynamic passive compensation reconnaissance method flow diagram in the embodiment of the present invention based on more feed-in short-circuit ratioes;
Fig. 2 is direct current more feed-in power grid geography wiring schematic diagrams in the year two thousand twenty East China in the embodiment of the present invention 2.
Specific embodiment
The present invention is described in further detail below in conjunction with the accompanying drawings.
The present invention provides a kind of dynamic passive compensation reconnaissance method based on more feed-in short-circuit ratioes, such as Fig. 1, the method packet Include following steps:
Step 1: establishing Jacobian matrix and solve the voltage influence factor;
Step 2: more feed-in short-circuit ratioes are determined according to the voltage influence factor;
Step 3: establishing each website installation dynamic reactive compensation device effect assessment objective function and corresponding constraint condition;
Step 4: using the preferred dynamic reactive compensation device installation point of genetic algorithm.
In the step 1, dynamic element model includes generator model, load model, DC control model and dynamic nothing Reactive power compensation installations model.
The step 1 the following steps are included:
Step 1-1: consider dynamic element model, establish power balance equation;
Step 1-2: establishing Jacobian matrix, and solves the voltage influence factor.
In the step 1-1, following power balance equation is established:
Wherein, Δ Pi、ΔQiRespectively indicate the active power variable quantity and reactive power variable quantity of node i injection, PGi、QGi Respectively indicate the active power output and idle power output of generator injection node i, PLi、QLiRespectively indicate the burden with power and nothing of node i Workload, PDiIndicate the dc power of node i, QDiIndicate the reactive power of DC filter capacitor injection node i, Ui、UjRespectively Indicate the voltage of node i, j, QSiIndicate the idle power output of dynamic reactive compensation device injection node i, Gij、BijRespectively indicate section Conductance and susceptance between point i, j, θijPhase difference of voltage between expression node i, j, i=1,2 ... ..., n, j=1, 2 ... ..., n, n are node total number.
In the step 1-2, following Jacobian matrix equation is established:
Wherein, MIIFlkIndicate the voltage influence factor of bus l opposing busbars k, and MIIFlk=Δ Ul/ΔUk, Δ UlTable Show the voltage variety of bus l, Δ UkIndicate the voltage variety of bus k;
Jacobian matrix element Hii、Nii、Mii、LiiIt calculates according to the following formula:
Wherein, GiiIndicate the conductance of node i, BiiIndicate the susceptance of node i;
It respectively indicates are as follows:
Wherein, Ei" indicate generator potential, θδiIndicate Ei" and UiPhase angle difference, X "diIndicate the super transient state electricity of generator d axis It is anti-;
If node i is constant current load bus,It respectively indicates are as follows:
Wherein, IPi、IQiRespectively indicate the watt current and reactive current of constant current load bus;
If node i is constant impedance load bus,It respectively indicates are as follows:
Wherein, Gi、BiRespectively indicate the conductance and susceptance of constant impedance load bus;
If node i is DC line power node,It respectively indicates are as follows:
Wherein, IdIndicate DC current, ntIndicate six pulse conversion devices series connection number, kTIndicate converter power transformer no-load voltage ratio, kγ Indicate the equivalent no-load voltage ratio of converter power transformer, θdIndicate the direct current angle of overlap of rectification side or the blow-out angle of inverter side, XcIndicate equivalent commutation Reactance;Indicate Equivalent Power Factor angle, and
If node i is that dynamic reactive compensation device installs node,It indicates are as follows:
Wherein, BiIndicate the susceptance of dynamic passive compensation installation node, and Bi=-K Δ Ui=-K (Ui-Ui0), Δ UiIt indicates Voltage deviation before and after dynamic reactive compensation device, U are installedi0Indicate the initial voltage of dynamic reactive compensation device installation node, K Indicate proportionality coefficient.
In the step 2, the drop point that pth returns DC line is bus l, and the drop point that q returns DC line is bus k, root More feed-in short-circuit ratioes are determined according to the voltage influence factor, are had:
Wherein, MISCR 'pIndicate that pth returns more feed-in short-circuit ratioes of DC line, SlIndicate the system short circuit capacity of bus l, PpIndicate that pth returns the power of DC line, PqIndicate that q returns the power of DC line, MIIFlkIndicate bus l opposing busbars k's The voltage influence factor, and MIIFlk=Δ Ul/ΔUk, Δ UlIndicate the voltage variety of bus l, Δ UkIndicate the voltage of bus k Variable quantity, m indicate that returning for DC line counts in the more feed-in power grids of direct current.
In the step 3, each website installation dynamic reactive compensation device effect assessment objective function is established, is had:
Wherein, f indicates that each website installs dynamic reactive compensation device effect assessment objective function,Indicate that pth returns direct current The equivalent weight coefficient of route, has:
Wherein, ωpIndicate that pth returns the weight coefficient of DC line, ωqIndicate that q returns the weight coefficient of DC line, ωp、ωqReflect that pth, q return influence of the DC line to other direct currents in the more feed-in power grids of direct current respectively, have:
Wherein, ZpqIndicate the equivalent resistance that pth is returned between DC line change of current bus and q times DC line change of current buses It is anti-, ZppIndicate that pth returns the equivalent impedance of DC line change of current bus, ZqqIndicate that q returns the equivalent resistance of DC line change of current bus It is anti-;
It is as follows that each website installs the corresponding constraint condition of dynamic reactive compensation device effect assessment objective function additional:
Wherein, Pl、QlRespectively indicate the active power and reactive power of bus l, Ul、UkRespectively indicate the electricity of bus l, k Pressure,WithRespectively indicate the upper voltage limit and lower limit of bus k, Glk、BlkRespectively indicate conductance between bus l, k and Susceptance, θlkIndicate the phase difference of voltage between bus l, k, IkIndicate the short circuit current of bus k,Indicate the short circuit of bus k Upper current limit, SrIndicate the power of branch r,Indicate the upper limit of the power of branch r.
In the step 4, using the preferred dynamic reactive compensation device installation point of genetic algorithm, comprising:
(1) setting evolutionary generation t is 0, and maximum evolutionary generation T and individual in population number M is arranged;
(2) it selects s node as dynamic reactive compensation device installation point in n node, then sharesIt is a to deposit Dynamic reactive compensation device reconnaissance strategy, and to reactive power compensator reconnaissance strategy carry out gene coding, gene coding length L is spent to meetThe value of each bit of gene code length is 0 or 1;
(3) random to generate M individual as initial population P0, each dynamic reactive compensation device reconnaissance strategy is as one Individual;
(4) fitness of each individual is calculated, i.e., each website installs dynamic reactive compensation device effect assessment objective function Value;
(5) distribute a random number for each parent individuality, and according to corresponding random number to parent individuality according to from big It being ranked up to small sequence, two neighboring parent individuality is hybridized, some bit in random selection gene order, and two The 0 of bit or 1 are interchangeable by parent individuality, are generated offspring individual, are calculated the fitness of offspring individual, and offspring individual is added Enter into parent individuality composition parent group;
(6) parent group is screened, M individual before retaining according to individual adaptation degree size;
(7) some individual is randomly choosed, and randomly chooses a bit in the genes of individuals sequence, is overturn, is obtained Next-generation group;
(8) if t=T, the individual using in evolutionary process with maximum adaptation degree is exported as optimal solution, that is, completes dynamic Reactive power compensator installation point it is preferred;If t < T, (4)~(8) are repeated.
Embodiment 1
Reconnaissance method provided by the invention is applied to present East China Power Grid, carries out more feed-in short-circuit ratioes and calculates.If with Traditional reconnaissance method acquired results are MISCRp, reconnaissance method acquired results provided by the invention are MISCRp'.East China Power Grid feedback Enter direct current 9 to return, shown in the more feed-in short-circuit ratio calculated results 1 of East China Power Grid direct current in 2016:
Table 1
In table 1, MISCR' does not account for hvdc control mode, and load model is " the constant function of 40% constant impedance+60% Rate ".
As can be seen from the results in the table that two class method calculated results have different, but according to more feed-in short-circuit ratio sizes Sequence substantially there is no variation.
To same 9 times direct currents, the more feed-in short-circuit ratioes calculated under different DC control strategies are calculated, East China Power Grid in 2016 More feed-in short-circuit ratio calculated result such as tables 2 under direct current difference control strategy:
Table 2
2 calculated result of table shows: in most cases, more feed-in short-circuit ratio ratios under constant current control mode ignore direct current control It is bigger when processed;The more feed-in short-circuit ratioes of constant dc power control mode are small.This is because, constant dc power control mode supports reactive voltage The reason of situation is deteriorated is: when voltage drop is low on inverter side change of current bus, inverter makes blow-out angle by adjusting Trigger Angle It remains unchanged, inverter side DC voltage reduces, so as to cause DC current raising;Due to the influence of commutating reactance, inverter side is straight Galvanic electricity pressure further decreases, and leads to the reduction of inverter side converter power factor, and reactive requirement increases.For rectification side, due to straight Galvanic electricity stream increases, in order to keep power invariability, it is necessary to DC voltage is reduced, to also reactive requirement be made to increase.
Illustrated by above-mentioned calculated result, the more feed-in short-circuit ratio calculated results and former short-circuit ratio derived using the method for the present invention Calculated result is consistent sexual intercourse, reflects simultaneously, and the model of all kinds of dynamic elements is different, to the meter of index and its stability Certain influence will be generated by calculating result.
Embodiment 2
Reconnaissance method provided by the invention is applied to the year two thousand twenty Jiangsu planning power grid, as shown in Fig. 2, shared political affairs are flat, same In, Liyang, Taizhou, Nanjing, Changshu, 7, Changzhou direct current drop point, form typical multi-infeed DC power grid, Jiangsu Power Grid is by electricity Ratio 40%.Since feed-in direct current scale is excessive, when not installing dynamic reactive compensation device, there are 14 backcrossing Flow Lines in Jiangsu Three-phase permanent short failure will lead to Voltage Instability.
The 500kV substation of southern area of Jiangsu Province 25 alternately point is chosen, as shown in table 3, passes through procedure selection 5 stations of optimization The SVC of point installation 2 × 240Mvar capacity;
Table 3
Different evolutionary generation T, group individual amount M are set, and optimizes calculating, southern Jiangsu dynamic passive compensation reconnaissance Scenario outcomes are as shown in table 4, from the point of view of calculated result, influenced not using different evolutionary generation and individual amount on calculated result Greatly, calculated result can stablize the scheme relatively determined at one substantially.Work as T=30, when M=30, result and remaining scheme Slightly difference, but from the point of view of target function value, the two difference very little.
Table 4
By result in table it is found that solving the above problems using genetic algorithm, preferable convergence can be reached.To above-mentioned two A different reactive compensation allocation plan carries out analysis safety and stability and checks, the results show that N-1 leads to system under two class schemes The route of unstability is 7 times, obvious to the promotion effect of system stability.
It can be seen that the dynamic reactive compensation device optimization reconnaissance method in the more feed-in areas of direct current mentioned herein calculates effect Rate is high, and effect of optimization is good, has very strong engineering application value.
Finally it should be noted that: the above embodiments are merely illustrative of the technical scheme of the present invention and are not intended to be limiting thereof, institute The those of ordinary skill in category field can still modify to a specific embodiment of the invention referring to above-described embodiment or Equivalent replacement, these are applying for this pending hair without departing from any modification of spirit and scope of the invention or equivalent replacement Within bright claims.

Claims (2)

1. a kind of dynamic passive compensation reconnaissance method based on more feed-in short-circuit ratioes, it is characterised in that: the method includes following Step:
Step 1: establishing Jacobian matrix and solve the voltage influence factor;
Step 2: more feed-in short-circuit ratioes are determined according to the voltage influence factor;
Step 3: establishing each website installation dynamic reactive compensation device effect assessment objective function and corresponding constraint condition;
Step 4: using the preferred dynamic reactive compensation device installation point of genetic algorithm;
The step 1 the following steps are included:
Step 1-1: consider dynamic element model, establish power balance equation;
Step 1-2: establishing Jacobian matrix, and solves the voltage influence factor;
In the step 1-1, dynamic element model includes generator model, load model, DC control model and dynamic reactive Compensation device model;
In the step 1-1, following power balance equation is established:
Wherein, Δ Pi、ΔQiRespectively indicate the active power variable quantity and reactive power variable quantity of node i injection, PGi、QGiRespectively Indicate the active power output and idle power output of generator injection node i, PLi、QLiRespectively indicate the burden with power of node i and idle negative Lotus, PDiIndicate the dc power of node i, QDiIndicate the reactive power of DC filter capacitor injection node i, Ui、UjIt respectively indicates The voltage of node i, j, QSiIndicate the idle power output of dynamic reactive compensation device injection node i, Gij、BijRespectively indicate node i, j Between conductance and susceptance, θijIndicate the phase difference of voltage between node i, j, i=1,2 ... ..., n, j=1,2 ... ..., n, n For node total number;
In the step 1-2, following Jacobian matrix equation is established:
Wherein, MIIFlkIndicate the voltage influence factor of bus l opposing busbars k, and MIIFlk=Δ Ul/ΔUk, Δ UlIndicate bus The voltage variety of l, Δ UkIndicate the voltage variety of bus k;
Jacobian matrix element Hii、Nii、Mii、LiiIt calculates according to the following formula:
Wherein, GiiIndicate the conductance of node i, BiiIndicate the susceptance of node i;
It respectively indicates are as follows:
Wherein, E "iIndicate generator potential, θδiIndicate E "iWith UiPhase angle difference, X "diIndicate the super transient state reactance of generator d axis;If Node i is constant current load bus,It respectively indicates are as follows:
Wherein, IPi、IQiRespectively indicate the watt current and reactive current of constant current load bus;
If node i is constant impedance load bus,It respectively indicates are as follows:
Wherein, Gi、BiRespectively indicate the conductance and susceptance of constant impedance load bus;
If node i is DC line access node,It respectively indicates are as follows:
Wherein, IdIndicate DC current, ntIndicate six pulse conversion devices series connection number, kTIndicate converter power transformer no-load voltage ratio, kγIt indicates The equivalent no-load voltage ratio of converter power transformer, θdIndicate the direct current angle of overlap of rectification side or the blow-out angle of inverter side, XcIndicate equivalent commutation electricity It is anti-;Indicate Equivalent Power Factor angle, and
If node i is that dynamic reactive compensation device installs node,It indicates are as follows:
Wherein, BiIndicate the susceptance of dynamic passive compensation installation node, and Bi=-K Δ Ui=-K (Ui-Ui0), Δ Ui indicates installation Voltage deviation before and after dynamic reactive compensation device, Ui0Indicate that the initial voltage of dynamic reactive compensation device installation node, K indicate Proportionality coefficient;
In the step 2, the drop point that pth returns DC line is bus l, and the drop point that q returns DC line is bus k, according to electricity Pressure impact factor determines more feed-in short-circuit ratioes, has:
Wherein, MISCRp' indicate that pth returns more feed-in short-circuit ratioes of DC line, SlIndicate the system short circuit capacity of bus l, PpTable Show that pth returns the power of DC line, PqIndicate that q returns the power of DC line, MIIFlkIndicate the voltage of bus l opposing busbars k Impact factor, and MIIFlk=Δ Ul/ΔUk, Δ UlIndicate the voltage variety of bus l, Δ UkIndicate the voltage change of bus k Amount, m indicate that returning for DC line counts in the more feed-in power grids of direct current;
In the step 3, each website installation dynamic reactive compensation device effect assessment objective function is established, is had:
Wherein, f indicates that each website installs dynamic reactive compensation device effect assessment objective function,Indicate that pth returns DC line Equivalent weight coefficient, have:
Wherein, ωpIndicate that pth returns the weight coefficient of DC line, ωqIndicate that q returns the weight coefficient of DC line, ωp、ωq Reflect that pth, q return influence of the DC line to other direct currents in the more feed-in power grids of direct current respectively, have:
Wherein, ZpqIndicate the equivalent impedance that pth is returned between DC line change of current bus and q times DC line change of current buses, Zpp Indicate that pth returns the equivalent impedance of DC line change of current bus, ZqqIndicate that q returns the equivalent impedance of DC line change of current bus;
It is as follows that each website installs the corresponding constraint condition of dynamic reactive compensation device effect assessment objective function additional:
Wherein, Pl、QlRespectively indicate the active power and reactive power of bus l, Ul、UkThe voltage of bus l, k are respectively indicated, WithRespectively indicate the upper voltage limit and lower limit of bus k, Glk、BlkRespectively indicate the conductance and susceptance between bus l, k, θlk Indicate the phase difference of voltage between bus l, k, IkIndicate the short circuit current of bus k,Indicate the short circuit current upper limit of bus k, SrIndicate the power of branch r,Indicate the upper limit of the power of branch r.
2. the dynamic passive compensation reconnaissance method according to claim 1 based on more feed-in short-circuit ratioes, it is characterised in that: institute It states in step 4, using the preferred dynamic reactive compensation device installation point of genetic algorithm, comprising:
(1) setting evolutionary generation t is 0, and maximum evolutionary generation T and individual in population number M is arranged;
(2) it selects s node as dynamic reactive compensation device installation point in n node, then sharesIt is a that may be present Dynamic reactive compensation device reconnaissance strategy, and gene coding is carried out to reactive power compensator reconnaissance strategy, gene code length L is full FootThe value of each bit of gene code length is 0 or 1;
(3) random to generate M individual as initial population P0, each dynamic reactive compensation device reconnaissance strategy is as an individual;
(4) fitness of each individual is calculated, i.e., each website installs dynamic reactive compensation device effect assessment target function value;
(5) for each parent individuality distribute a random number, and according to corresponding random number to parent individuality according to from big to small Sequence be ranked up, two neighboring parent individuality is hybridized, randomly choose gene order on some bit, two parents The 0 of bit or 1 are interchangeable by individual, are generated offspring individual, are calculated the fitness of offspring individual, and offspring individual is added to Parent individuality forms in parent group;
(6) parent group is screened, M individual before retaining according to individual adaptation degree size;
(7) some individual is randomly choosed, and randomly chooses a bit in the genes of individuals sequence, is overturn, is obtained next For group;
(8) if t=T, the individual using in evolutionary process with maximum adaptation degree is exported as optimal solution, i.e. completion dynamic reactive Compensation device installation point it is preferred;If t < T, (4)~(8) are repeated.
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