CN109638880A - Current transformer grid-connected system stability improvement method based on admittance shaping range - Google Patents

Current transformer grid-connected system stability improvement method based on admittance shaping range Download PDF

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CN109638880A
CN109638880A CN201811569979.9A CN201811569979A CN109638880A CN 109638880 A CN109638880 A CN 109638880A CN 201811569979 A CN201811569979 A CN 201811569979A CN 109638880 A CN109638880 A CN 109638880A
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admittance
current transformer
generalized
grid
connected system
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CN109638880B (en
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辛焕海
董炜
杨超然
宫泽旭
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Zhejiang University ZJU
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Zhejiang University ZJU
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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
    • H02J3/38Arrangements for parallely feeding a single network by two or more generators, converters or transformers
    • 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]
    • 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
    • H02J3/002Flicker reduction, e.g. compensation of flicker introduced by non-linear load

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

Abstract

The current transformer grid-connected system stability improvement method based on admittance shaping range that the invention discloses a kind of.Equivalent original-antithesis the compound circuit for establishing current transformer grid-connected system, obtains the mode power of generalized admittance;The sensitivity that changes multiple of the characteristic value of the real part imaginary part and current transformer grid-connected system that calculate mode power to generalized admittance, can react the influence degree that the generalized admittance vibrates current transformer grid-connected system using sensitivity;The phase angle range and amplitude range of knots modification needed for calculating current transformer generalized admittance, under system stability margin certain situation, knots modification is determined according to the phase angle range of knots modification and amplitude range, adjusts generalized admittance with knots modification, to improve the stability of system, achieve the effect that oscillation inhibits.Current transformer grid-connected system impedance shaping analysis method proposed by the present invention can effectively improve system stability or stability margin, inhibit system oscillation, guarantee the safe and stable operation of system.

Description

Current transformer grid-connected system stability improvement method based on admittance shaping range
Technical field
The present invention relates to a kind of current transformer grid-connected system stability improvement methods, especially by the equivalent original-of computing system Mode oscillation under dual circuit, determines the calculating side of the stable generalized admittance of raising system or current transformer admittance knots modification range Method, and then adjust system parameter optimization or compensation tache is added to inhibit the method for system oscillation, realize that stability improves.
Background technique
As the renewable and clean energy resources such as wind, light access AC network, the power electronics degree of AC network on a large scale It is continuously improved, due to the coupling between current transformer and power grid, system is easy to produce complicated oscillation problem, renewable energy The grid-connected safety and stability to system propose new challenge.Instability problem caused by current transformer is grid-connected seriously constrains can be again The development and large scale investment of the raw energy, it is therefore proposed that reliable efficient oscillation, which inhibits strategy also, becomes urgently to be resolved important Problem.
The impedance model of current transformer grid-connected system is established using generalized impedance theory, and equivalent former-right by computing system The mode power of even compound circuit, can analyze the small signal stability of system.But this method does not shake to mode power and system The relationship of swinging is described in detail, and provides the admittance change direction for inhibiting system oscillation and shaping range, therefore cannot specifically give The system oscillation based on compound circuit mode power analysis inhibits strategy out.
Summary of the invention
To solve the above problems, the invention proposes a kind of current transformer grid-connected system stability based on admittance shaping range Improvement method, Physical Mechanism are clear, it is intended to identify in current transformer grid-connected system and act on apparent position, optimization to system oscillation Relevant parameter introduces compensation tache change current transformer admittance, to make the equivalent original of system-all generalized admittances of antithesis compound circuit Mode power it is the sum of useful be positive, system small interference stability.
Technical solution of the present invention uses following steps:
1) the equivalent original-antithesis compound circuit for establishing current transformer grid-connected system, obtains generalized admittance YeiMode power Oei
2) the real part imaginary part of mode power and the characteristic value s of current transformer grid-connected system are calculated to generalized admittance YeiVariation times Number keiSensitivity, the influence degree that the generalized admittance vibrates current transformer grid-connected system can be reacted using sensitivity;
The characteristic value s of current transformer grid-connected system is the characteristic root of the state equation of current transformer grid-connected system.
3) knots modification △ Y needed for calculating current transformer generalized admittancee1_VSC、△Ye2_VSCWith △ Ye3_VSCPhase angle range and Amplitude range determines knots modification according to the phase angle range of knots modification and amplitude range under system stability margin certain situation, uses Knots modification adjusts generalized admittance, to improve the stability of system, achievees the effect that oscillation inhibits.
In the present invention, the imaginary part of the mode power, i.e. mode power are idle Im (Oei) it is timing, it is considered as oscillation energy storage member Part is not controlled;Active Re (the O of the real part of the mode power, i.e. mode powerei) when being negative, it is considered as oscillation energy source member Part need to be controlled.
The step 1) specifically:
Using the equivalent original-antithesis compound circuit for establishing current transformer grid-connected system based on generalized impedance modeling method, according to change The voltage equation at equivalent original-antithesis compound circuit interior joint of device grid-connected system is flowed, each generalized admittance Y is obtainedeiThe electricity at both ends Pressure difference UeiWith flow through generalized admittance YeiElectric current Iei, then by voltage difference UeiConjugation and electric current IeiConjugation and mode power because Sub- oeiMultiplication obtains generalized admittance YeiMode power Oei;It is specifically calculated using the following equation and obtains each generalized admittance Yei? Mode power O under External forcing frequency of oscillationei(s1):
Y (s)=Ye_VSC(s)+Ye_L(s)+Ye_C(s)
Wherein, UeiFor circuit voltage vector U component in i-th of generalized admittance YeiThe voltage at both ends, circuit voltage vector U=[UP,UD]T, T representing matrix transposition, UPAnd UDIndicate equivalent original-antithesis compound circuit primary voltage and dual voltage;YeiIt indicates I-th of generalized admittance, IeiTo pass through i-th of generalized admittance YeiElectric current;Arg () expression takes phase angle, and subscript " * " expression takes Conjugation;Subscript " ' " indicate partial derivative,Expression asks Y (s) in s=s1The partial derivative at place, Y (s) indicate to become The sum of the admittance matrix of device grid-connected system is flowed, s indicates system features value, s1Indicate that Oscillatory mode shape, j indicate imaginary number, oeFor mode function The rate factor;Ye_VSC(s)、Ye_L(s) and Ye_CIt (s) is respectively current transformer, power grid inductance and the filtering in equivalent original-antithesis compound circuit The admittance matrix of capacitor can be directly obtained from the equivalent original-dual circuit of system.
Equivalent original-antithesis compound circuit is mainly by three generalized admittance Y of current transformerei, power grid inductance two generalized admittances YeiWith two generalized admittance Y of filter capacitoreiIt constitutes, as shown in Figure 3.It is divided into primary circuit and dual circuit two parts, primary circuit Including the second generalized admittance of power grid inductance Ye2_L, the second generalized admittance of filter capacitor Ye2_C, the sub generalized admittance of current transformer and unsteady flow The second generalized admittance of device Ye2_VSCFour generalized admittances, dual circuit include power grid inductance third generalized admittance Ye3_L, filter capacitor Third generalized admittance Ye3_C, current transformer two generalized admittances, current transformer third generalized admittance Ye3_VSCFour generalized admittances;Power grid The second generalized admittance of inductance Ye2_L, the second generalized admittance of filter capacitor Ye2_CWith the second generalized admittance of current transformer Ye2_VSCIt is connected in parallel on change Between the one end and ground connection for flowing two generalized admittance of device, power grid inductance third generalized admittance Ye3_L, filter capacitor third broad sense leads Receive Ye3_CWith current transformer third generalized admittance Ye3_VSCIt is connected in parallel between one end and ground connection of the sub generalized admittance of current transformer, first It connects, and then goes here and there between the other end of a the first generalized admittance of current transformer and the other end of second the first generalized admittance of current transformer Connection constitutes the first generalized admittance of current transformer Ye1_VSC
The current transformer grid-connected system ideally worked normally is not affected by interference (vibrating without External forcing);Actually answer It only (is vibrated without External forcing) by small interference with the current transformer grid-connected system of middle normal work, therefore equivalent original-antithesis Compound circuit can be made to simplify processing, can ignore the second generalized admittance of power grid inductance Ye2_LExternal disturbance source original point between ground Measure Δ EPWith power grid inductance third generalized admittance Ye3_LExternal disturbance source between ground is to even component Δ ED
Apparent generalized admittance Y is acted on to system oscillation according to the identification of the real and imaginary parts of mode powerei
In the step 1):
1.1) the crucial oscillation energy-storage travelling wave tube of system is determined.Calculate generalized admittance YeiMode power imaginary part, i.e. mode Power is idle Im (Oei), if being positive, mean YeiIt plays and increases s1Imaginary part effect, be system oscillation energy-storage travelling wave tube, and | Im(Oei) | maximum system oscillation energy-storage travelling wave tube, to influence maximum crucial oscillation energy-storage travelling wave tube to system oscillation frequency of oscillation, Its generalized admittance YeiIt needs to adjust.
1.2) the crucial oscillation energy source element of system is determined.Calculate generalized admittance YeiMode power real part, i.e. mould Active Re (the O of state powerei), if the index is negative, mean YeiPlay the role of enhancing system oscillation, is the oscillation of system Energy source element, and | Re (Oei) | maximum oscillation energy source element, to influence maximum crucial oscillation vibration to system stability Swing source element, generalized admittance YeiIt needs to adjust.
1.3) according to generalized admittance YeiMost effective setting program is chosen in sensitivity to system stability.When broad sense is led It receives by YeiBecome (1+kei)YeiIn the process, then computing system characteristic value s is to generalized admittance YeiVariation coefficient keiSensitivity.
The step 2) specifically:
The real part imaginary part of mode power and the characteristic value s of system are to generalized admittance YeiVariation coefficient keiSensitivityExpression formula are as follows:
ko=| UTY′(s1)U|-1
Wherein, U=[UP,UD]T, s1Indicate Oscillatory mode shape,Expression asks Y (s) in s=s1That locates is inclined Derivative, Y (s) indicate the sum of the admittance matrix of current transformer grid-connected system, s1Indicate that Oscillatory mode shape, j indicate imaginary number, oeFor mode function The rate factor;Ye_VSC(s)、Ye_L(s) and Ye_CIt (s) is respectively current transformer, power grid inductance and the filtering in equivalent original-antithesis compound circuit The admittance matrix of capacitor.
Sensitivity reflects the relationship of characteristic value s variation with generalized admittance variation, and numerical value is bigger to represent generalized impedance YeiEvery increasing Add a fixed proportion kei, system features value variable quantity is bigger, i.e., brighter to system stability influence degree to the generalized admittance It is aobvious, it is preferentially considered as being adjusted.
By the generalized admittance Y for calculating crucial oscillation energy-storage travelling wave tube and crucial oscillation energy source elementeiTo system stability Sensitivity, according to the descending sequence of sensitivity to needing setting means to be ranked up.The maximum element of sensitivity is at this Weakest link under operating condition should consider to carry out it parameter optimization first or compensate, be insufficient for if adjusting it Stability margin requirement is considering the generalized admittance Y to next elementeiIt is adjusted, until system is met the requirements.
More each generalized admittance YeiSensitivity, sensitivity it is bigger to current transformer grid-connected system oscillation influence it is bigger, Peak response is taken to carry out admittance adjusting.
In the present invention, sensitivity and knots modification are directed to three current transformer generalized admittances.
The knots modification △ Y of three current transformer generalized admittances in the equivalent original-antithesis compound circuite1_VSC、△Ye2_VSCAnd △ Ye3_VSCPhase angle range specifically calculate separately are as follows:
Wherein, oeFor mode power factor, α indicates Oscillatory mode shape s1Phase angle;
The knots modification △ Y of three generalized admittances of three inversion elements in the equivalent original-antithesis compound circuite1_VSC、△ Ye2_VSCWith △ Ye3_VSCAmplitude range specifically calculate separately are as follows:
Wherein, s ' is the system features value considered after stability margin, oscillation mode when being critical state;OsumIt indicates to become Flow the sum of the mode power of all generalized admittances in device grid-connected system.
In the step 3), knots modification is set according to the phase angle range of knots modification and amplitude range, with knots modification to broad sense Admittance parameter optimizes adjustment or compensation tache is added in current transformer (inversion element) controller and is adjusted, and makes equivalent Original-all generalized admittances of antithesis compound circuit mode power is the sum of useful to be positive and meets certain nargin, reaches what oscillation inhibited Effect.
In the present invention, by the generalized admittance Y for changing inversion elemente1_VSC、Ye2_VSC、Ye3_VSCRealize that system oscillation inhibits Purpose, the parameter optimization of current transformer grid-connected system or the design of compensation tache can be instructed according to the knots modification, to improve The stability of system achievees the effect that oscillation inhibits.
The beneficial effects of the present invention are:
The method of the present invention passes through the equivalent original-of computing system based on the equivalent original of system-antithesis compound circuit mode power analysis The mode hunting power of antithesis compound circuit identifies the position in current transformer grid-connected system to stability high sensitivity, optimizes and revises Parameter introduces compensation tache change current transformer admittance, can effectively improve system stability or stability margin, inhibit system vibration It swings, guarantees the safe and stable operation of system.
Detailed description of the invention
Fig. 1 is the equivalent circuit diagram that current transformer is grid-connected in simulating, verifying of the embodiment of the present invention.
Fig. 2 is current transformer vector controlled block diagram in simulating, verifying of the embodiment of the present invention.
Fig. 3 is equivalent original-antithesis compound circuit of system in simulating, verifying of the embodiment of the present invention.
Fig. 4 is the oscillating curve in simulating, verifying of the embodiment of the present invention in primal system electromagnetic transient simulation.
Fig. 5 is system features value moving range schematic diagram in simulating, verifying of the embodiment of the present invention.
Fig. 6 is system balance Absent measures block diagram in simulating, verifying of the embodiment of the present invention.
Fig. 7 is the oscillating curve after compensating in simulating, verifying of the embodiment of the present invention in system electromagnetic transient simulation.
Specific embodiment
The present invention will be further described in detail below with reference to the accompanying drawings and specific embodiments.
The specific embodiment implemented according to the method for the present invention content intact is as follows:
Current transformer and pessimistic concurrency control are built in Matlab/Simulink software, as shown in Figure 1.Wherein current transformer uses base In the bicyclic vector control strategy of phaselocked loop, as shown in Fig. 2, and current transformer output power power factor be 1.In Fig. 1 and Fig. 2 Each variable physical meaning is as shown in table 1 below:
1 current transformer grid-connected system variable of table corresponds to table
The parameter value of variable is as shown in table 2 below in current transformer grid-connected system:
The parameter value of current transformer variable in 2 embodiment simulating, verifying of table
System original-antithesis the compound circuit formed by generalized impedance theoretical modeling is as shown in Figure 3.It is calculated according to 2 data of table Each generalized admittance and current transformer admittance and its mode power are as shown in table 3 in acquisition system.Line inductance is further increased, it will be real The inductance Lg for applying alternating current net side in example 1 increases to 0.56p.u. by 0.55p.u., by the inductance of alternating current net side in embodiment 2 Lg increases to 0.41p.u. by 0.4p.u., and each generalized admittance and current transformer admittance and its mode power are as shown in table 4 in system, Since system mode power is by just becoming negative, system is changed into time-dependent system by stabilization, and the system is in electromagnetic transient simulation There is wild effect as shown in figure 4, as seen from the figure, system oscillation is changed into diverging by decaying in waveform.
Each generalized admittance and its mode watt level under 3 frequency of oscillation of table
Table 4 changes the generalized admittance and mode power after line inductance
The setting principle changes current transformer admittance Y according to the present inventiong11And Yg22, wherein Yg11And Yg22For current transformer admittance The diagonal element of matrix, there are relationships with current transformer generalized admittance:
Therefore, setting principle is consistent with current transformer generalized admittance setting principle, and the two is of equal value and can mutual inversion of phases.
The system features value moving range according to obtained by step 2.1) is as shown in Figure 5.
Respectively to Yg11And Yg22It is adjusted, takes the critical state for meeting a nargin, at this time Oscillatory mode shape knots modification Δ s1Phase angle beta=- π, compensation tache shown in Fig. 6, compensation tache input signal, output is added in current transformer shown in Fig. 1 control Signal application position and parameter are as shown in table 5.
5 compensation tache parameter of table
It is added before and after compensation tache, system converter admittance and its mode power are as shown in table 6.
The compensation of table 6 front and back system converter admittance and its mode power
As can be seen from Table 6:
1) for embodiment 1, Y is adjustedg11Afterwards, Og11After becoming -0.86-1.25i from -0.92-1.25i, system features value By horizontal left, system stability enhancing;Adjust Yg22Afterwards, Og22After becoming 0.89-1.31i from -0.95-1.31i, system features Value is -1.5891+89.1203i, system stability enhancing by -0.3230+89.1128i horizontal left.
2) for embodiment 2, adjust Yg11Afterwards, Og11After becoming -0.05+0.55i from -0.12+0.55i, system features value It is -1.43+68.79i, system stability enhancing by -0.07+68.94i horizontal left;Adjust Yg22Afterwards, Og22By -0.41+ After 0.82i becomes -0.35+0.82i, system features value is -1.36+68.80i by -0.07+68.94i horizontal left, and system is steady Qualitative enhancing.
It in summary it can be seen, for 2 two systems of embodiment 1 and embodiment, the setting method based on mode power changes Yg11Or Yg22Afterwards, system oscillation mode horizontal left can be made, enhance the stability of system.In addition, electromagnetic transient simulation As a result it can also illustrate above-mentioned conclusion:
1) for embodiment 1, in t=0.5s, the line inductance in AC network becomes 0.55p.u. from 0.54p.u., In t=4.5s, line inductance becomes 0.56p.u., adjusts Yg11And Yg22Afterwards, the end voltage oscillation curve of system is respectively such as Fig. 7 (a) and shown in Fig. 7 (b).Comparison diagram 5 (a) is as can be seen that adjusting Yg11Or Yg22Afterwards, when line inductance is 0.55p.u., in system Oscillation gradually decay, the rate of decay is significantly faster than that primal system, and when line inductance is increased to 0.56p.u., in system Oscillation still gradually decays, system small interference stability.This illustrates to adjust Yg11Or Yg22The stabilization of 1 system of embodiment is improved afterwards Property.
2) for embodiment 2, in t=0.5s, the line inductance in AC network becomes 0.4p.u. from 0.39p.u., In t=4.5s, line inductance becomes 0.41p.u., adjusts Yg11And Yg22Afterwards, end voltage oscillation curve such as Fig. 7 (c) of system With shown in Fig. 7 (d).Comparison diagram 5 (b) is as can be seen that adjusting Yg11Or Yg22Afterwards, when line inductance is 0.40p.u., in system Oscillation gradually decays, and the rate of decay is significantly faster than that primal system, and the vibration when line inductance is increased to 0.41p.u., in system It swings and still gradually decays, system small interference stability.This illustrates to adjust Yg11Or Yg22Improve the stability of 1 system of embodiment.
Therefore, the admittance shaping range computation method proposed by the invention based on mode power can pass through analysis system Equivalent original-antithesis compound circuit mode power, identifying system propose to improve system to the serious weak link of stability destroying infection The calculation method of the current transformer device admittance shaping range for stability of uniting, and then instruct the parameter optimization of system or setting for compensation tache Meter, to achieve the effect that inhibit system oscillation, can be seen that this method significant effect from specific implementation case and can quantitatively carve Draw the inhibitory effect of oscillation.
Above-mentioned specific embodiment is used to illustrate the present invention, rather than limits the invention, of the invention In spirit and scope of protection of the claims, to any modifications and changes that the present invention makes, protection model of the invention is both fallen within It encloses.

Claims (4)

1. a kind of current transformer grid-connected system stability improvement method based on admittance shaping range, it is characterised in that including following step It is rapid:
1) the equivalent original-antithesis compound circuit for establishing current transformer grid-connected system, obtains generalized admittance YeiMode power Oei
2) the real part imaginary part of mode power and the characteristic value s of current transformer grid-connected system are calculated to generalized admittance YeiVariation multiple kei Sensitivity, the influence degree that the generalized admittance vibrates current transformer grid-connected system can be reacted using sensitivity;
3) knots modification △ Y needed for calculating current transformer generalized admittancee1_VSC、△Ye2_VSCWith △ Ye3_VSCPhase angle range and amplitude Range determines knots modification according to the phase angle range of knots modification and amplitude range, with change under system stability margin certain situation Amount adjustment generalized admittance achievees the effect that oscillation inhibits to improve the stability of system.
2. a kind of current transformer grid-connected system stability improvement method based on admittance shaping range according to claim 1, It is characterized by: the step 1) specifically:
Using the equivalent original-antithesis compound circuit for establishing current transformer grid-connected system based on generalized impedance modeling method, according to current transformer Voltage equation at the equivalent original of grid-connected system-antithesis compound circuit interior joint, obtains each generalized admittance YeiThe voltage difference at both ends UeiWith flow through generalized admittance YeiElectric current Iei, then by voltage difference UeiConjugation and electric current IeiConjugation and mode power factor oei Multiplication obtains generalized admittance YeiMode power Oei;It is specifically calculated using the following equation and obtains each generalized admittance YeiIn the external world Mode power O under forced oscillation frequencyei(s1):
Y (s)=Ye_VSC(s)+Ye_L(s)+Ye_C(s)
Wherein, UeiFor circuit voltage vector U component in i-th of generalized admittance YeiThe voltage at both ends, circuit voltage vector U= [UP,UD]T, T representing matrix transposition, UPAnd UDIndicate equivalent original-antithesis compound circuit primary voltage and dual voltage;YeiIndicate i-th A generalized admittance, IeiTo pass through i-th of generalized admittance YeiElectric current;Arg () expression takes phase angle, and subscript " * " expression takes altogether Yoke;Subscript " ' " indicate partial derivative,Expression asks Y (s) in s=s1The partial derivative at place, Y (s) indicate unsteady flow The sum of the admittance matrix of device grid-connected system, s indicate system features value, s1Indicate that Oscillatory mode shape, j indicate imaginary number, oeFor mode power The factor;Ye_VSC(s)、Ye_L(s) and Ye_CIt (s) is respectively current transformer, power grid inductance and the filtered electrical in equivalent original-antithesis compound circuit The admittance matrix of appearance.
3. a kind of current transformer grid-connected system stability improvement method based on admittance shaping range according to claim 1, It is characterized by: the step 2) specifically:
The real part imaginary part of mode power and the characteristic value s of system are to generalized admittance YeiVariation coefficient keiSensitivity's Expression formula are as follows:
ko=| UTY′(s1)U|-1
Wherein, U=[UP,UD]T, s1Indicate Oscillatory mode shape,Expression asks Y (s) in s=s1The partial derivative at place, Y (s) indicates the sum of the admittance matrix of current transformer grid-connected system, s1Indicate that Oscillatory mode shape, j indicate imaginary number, oeFor mode power because Son;Ye_VSC(s)、Ye_L(s) and Ye_CIt (s) is respectively current transformer, power grid inductance and the filter capacitor in equivalent original-antithesis compound circuit Admittance matrix.
4. a kind of current transformer grid-connected system stability improvement method based on admittance shaping range according to claim 1, It is characterized by: in the equivalent original-antithesis compound circuit three current transformer generalized admittances knots modification △ Ye1_VSC、△Ye2_VSCWith △Ye3_VSCPhase angle range specifically calculate separately are as follows:
Wherein, oeFor mode power factor, α indicates Oscillatory mode shape s1Phase angle;
The knots modification △ Y of three generalized admittances of three inversion elements in the equivalent original-antithesis compound circuite1_VSC、△Ye2_VSC With △ Ye3_VSCAmplitude range specifically calculate separately are as follows:
Wherein, s ' is the system features value considered after stability margin, oscillation mode when being critical state;OsumIndicate current transformer The sum of the mode power of all generalized admittances in grid-connected system.
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