CN105375497B - Determine the method and device of power system stabilizer, PSS power oscillation damping effect - Google Patents

Determine the method and device of power system stabilizer, PSS power oscillation damping effect Download PDF

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CN105375497B
CN105375497B CN201510930597.4A CN201510930597A CN105375497B CN 105375497 B CN105375497 B CN 105375497B CN 201510930597 A CN201510930597 A CN 201510930597A CN 105375497 B CN105375497 B CN 105375497B
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mrow
msub
pss
power system
system stabilizer
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CN105375497A (en
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吴涛
谢欢
苏为民
罗婧
赵峰
梁浩
刘军娜
刘珅
史扬
徐正龙
姚谦
赵焱
付宏伟
王非
郝婧
陈瑞
夏雪
徐鹏
姜博
梁伟宸
马志昊
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State Grid Corp of China SGCC
North China Electric Power Research Institute Co Ltd
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State Grid Corp of China SGCC
North China Electric Power Research Institute Co Ltd
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    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00—Circuit arrangements for ac mains or ac distribution networks
    • H02J3/24—Arrangements for preventing or reducing oscillations of power in networks
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
    • H02J2203/20—Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E60/00—Enabling technologies; Technologies with a potential or indirect contribution to GHG emissions mitigation

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  • Power Engineering (AREA)
  • Supply And Distribution Of Alternating Current (AREA)
  • Control Of Eletrric Generators (AREA)

Abstract

The embodiments of the invention provide a kind of method and device for determining power system stabilizer, PSS power oscillation damping effect, wherein, this method includes：In the case where the generator rotor angle of the generator where power system stabilizer, PSS keeps constant, the excitation reference voltage of the generator is obtained to the frequency response characteristic of electromagnetic torque；Calculate sensitivity of the unstable characteristic value on power system stabilizer, PSS gain；The parameter of the power system stabilizer, PSS is adjusted according to the frequency response characteristic or the sensitivity；Emulated using the parameter of the power system stabilizer, PSS after adjusting, obtain the Closed-loop Eigenvalues of power system.The parameter that the program realizes the power system stabilizer, PSS after adjusting can maximize the vibration for suppressing designated mode, parameter based on the power system stabilizer, PSS after adjusting is emulated, the effect of the parameter power oscillation damping for the power system stabilizer, PSS that obtained Closed-loop Eigenvalues accurately and efficiently can reflect in power system after adjusting.

Description

Determine the method and device of power system stabilizer, PSS power oscillation damping effect
Technical field
It is more particularly to a kind of to determine power system stabilizer, PSS power oscillation damping the present invention relates to power grid security technical field The method and device of effect.
Background technology
With the continuous development of modern power systems, power system stabilizer, PSS is widely used in power oscillation damping and carried High system dynamic stability.Early in the sixties, power system stabilizer, PSS is just by first Application on hydroelectric generator.To 2000 Year, a kind of novel electric power system stabilizer PSS4B of multiband is suggested, being capable of more flexible effectively power oscillation damping.
It is closeer with its parameter tuning but the effect of power system stabilizer, PSS power oscillation damping depends not only on its structure It is inseparable.Under ideal case, the parameter of power system stabilizer, PSS should make it that the damping of specific characteristic value is maximum.But in practice Weigh the influence for considering power system stabilizer, PSS to other oscillation modes.
Power system oscillation pattern can be generally divided into local oscillation pattern and area oscillation pattern.Power system stabilizer, PSS It is relatively easy when suppressing local oscillation pattern, but really challenge comes under various boundary conditions to area oscillation pattern Suppression situation.
In general, the target of power system stabilizer, PSS is：In the case where not influenceing the stability of other oscillation modes, Maximize the vibration for suppressing local oscillation pattern and area oscillation pattern；Strengthening system transient stability；Do not risen in the system failure Deterioration acts on.
But the method for adjusting parameters of power system stabilizer in the prior art can not ensure the validity of parameter, and then make Must be to the evaluation result inaccuracy of power system stabilizer, PSS power oscillation damping effect.
The content of the invention
The embodiments of the invention provide a kind of method for determining power system stabilizer, PSS power oscillation damping effect, to solve The inaccurate technical problem of evaluation result to power system stabilizer, PSS power oscillation damping effect in the prior art.This method bag Include：In the case where the generator rotor angle of the generator where power system stabilizer, PSS keeps constant, the excitation ginseng of the generator is obtained Voltage is examined to the frequency response characteristic of electromagnetic torque；Calculate spirit of the unstable characteristic value on power system stabilizer, PSS gain Sensitivity；The parameter of the power system stabilizer, PSS is adjusted according to the frequency response characteristic or the sensitivity；Using whole The parameter of power system stabilizer, PSS after fixed is emulated, and obtains the Closed-loop Eigenvalues of power system.
In one embodiment, the excitation reference voltage of the generator is obtained to the frequency of electromagnetic torque by below equation Rate resonse characteristic：
Wherein, Δ PeIt is electromagnetic torque offset, Δ VrIt is excitation reference voltages offset, HPVrIt is frequency response characteristic song Line, K2、K3、K6It is the real parameter of generator model, TAIt is generator excited system time constant, KAIt is that generator excited system is put Big multiple, T 'doIt is the constant in generator model, I is unit diagonal matrix, and s is the independent variable after Laplace transform, and A is POWER SYSTEM STATE matrix.
In one embodiment, the electric power system stability is adjusted according to the frequency response characteristic by below equation Determine the parameter of device：
Wherein, ω1,ω2..., ωnIt is stepped-frequency signal, n is positive integer, GPSS(S) be power system stabilizer, PSS biography Delivery function, HPVr(S) it is frequency response characteristic, s is the independent variable after Laplace transform, and j is imaginary unit.
In one embodiment, spirit of the unstable characteristic value on power system stabilizer, PSS gain is calculated by below equation Sensitivity：
Wherein,It is sensitivity of the unstable characteristic value on power system stabilizer, PSS gain, λkIt is unstable k-th Characteristic value, Ri,kIt is the power system stabilizer, PSS on i-th generator on unstable eigenvalue λkResidual, vkIt is unstable eigenvalue λkCorresponding right characteristic vector,It is unstable eigenvalue λkCorresponding left eigenvector, biIt is i-th Input matrix corresponding to the power system stabilizer, PSS of platform generator, ciBe i-th generator power system stabilizer, PSS institute it is right The output matrix answered, KPSSiIt is the gain of the power system stabilizer, PSS on i-th generator, GPSS(s,KPSSi) it is i-th generating The transmission function of power system stabilizer, PSS on machine, i, k are positive integers, and s is the independent variable after Laplace transform.
In one embodiment, the ginseng of the power system stabilizer, PSS is adjusted according to the sensitivity by below equation Number：
Wherein, λkIt is k-th of unstable characteristic value, m is positive integer, and Modeweight [k] is unstable eigenvalue λkPower Weight coefficient,It is unstable eigenvalue λkSensitivity on power system stabilizer, PSS gain.
In one embodiment, in addition to：Power system stabilizer, PSS after passing through parameter tuning is calculated by below equation Contribution is moved to left to unstable characteristic value：
Wherein, ContributionPSSiPower system stabilizer, PSS on i-th generator of [k] expression is to unstable feature Value λkMove to left contribution,It is unstable eigenvalue λkOn the sensitivity of power system stabilizer, PSS gain, KPSSiIt is i-th The gain of power system stabilizer, PSS on platform generator.
The embodiment of the present invention additionally provides a kind of device for determining power system stabilizer, PSS power oscillation damping effect, with solution The certainly technical problem inaccurate to the evaluation result of power system stabilizer, PSS power oscillation damping effect in the prior art.The device Including：Curve acquisition module, in the case of keeping constant in the generator rotor angle of the generator where power system stabilizer, PSS, obtain The excitation reference voltage of the generator to electromagnetic torque frequency response characteristic；Computing module, it is unstable for calculating Sensitivity of the characteristic value on power system stabilizer, PSS gain；Parameter tuning module, for bent according to the frequency response characteristic The parameter of the power system stabilizer, PSS is adjusted in line or the sensitivity；Emulation module, for utilizing the power system after adjusting The parameter of stabilizer is emulated, and obtains the Closed-loop Eigenvalues of power system.
In one embodiment, the curve acquisition module obtains the excitation of the generator with reference to electricity by below equation It is depressed into the frequency response characteristic of electromagnetic torque：
Wherein, Δ PeIt is electromagnetic torque offset, Δ VrIt is excitation reference voltages offset, HPVrIt is frequency response characteristic song Line, K2、K3、K6It is the real parameter of generator model, TAIt is generator excited system time constant, KAIt is that generator excited system is put Big multiple, T 'doIt is the constant in generator model, I is unit diagonal matrix, and s is the independent variable after Laplace transform, and A is POWER SYSTEM STATE matrix.
In one embodiment, the parameter tuning module is whole according to the frequency response characteristic by below equation The parameter of the fixed power system stabilizer, PSS：
Wherein, ω1,ω2..., ωnIt is stepped-frequency signal, GPSS(S) be power system stabilizer, PSS transmission function, HPVr (S) it is corresponding ideal frequency curve, s is the independent variable after Laplace transform, and j is imaginary unit.
In one embodiment, the computing module calculates unstable characteristic value on electric power system stability by below equation Determine the sensitivity of device gain：
Wherein,It is sensitivity of the unstable characteristic value on power system stabilizer, PSS gain, λkIt is unstable k-th Characteristic value, Ri,kIt is the power system stabilizer, PSS on i-th generator on unstable eigenvalue λkResidual, vkIt is unstable eigenvalue λkCorresponding right characteristic vector,It is unstable eigenvalue λkCorresponding left eigenvector, biIt is i-th Input matrix corresponding to the power system stabilizer, PSS of platform generator, ciBe i-th generator power system stabilizer, PSS institute it is right The output matrix answered, KPSSiIt is the gain of the power system stabilizer, PSS on i-th generator, GPSS(s,KPSSi) it is i-th generating The transmission function of power system stabilizer, PSS on machine, i, k are positive integers, and s is the independent variable after Laplace transform.
In embodiments of the present invention, by obtaining the excitation reference voltage of generator to the frequency response characteristic of electromagnetic torque Curve (also referred to as ideal frequency curve), it is possible to achieve the ginseng of power system stabilizer, PSS is adjusted according to frequency response characteristic Number, that is, the parameter that power system stabilizer, PSS is adjusted by ideal frequency curve method is realized, and adjusted by ideal frequency curve method The parameter of power system stabilizer, PSS afterwards can effectively suppress the local mode vibration of power network；Closed by calculating unstable characteristic value In the sensitivity of power system stabilizer, PSS gain, it is possible to achieve the parameter of power system stabilizer, PSS is adjusted according to the sensitivity, is led to The local mode and region mode of power network can effectively be suppressed by crossing the parameter of the power system stabilizer, PSS after the sensitivity is adjusted Vibration.The vibration for suppressing designated mode can be maximized by realizing the parameter of the power system stabilizer, PSS after adjusting, based on adjusting The parameter of power system stabilizer, PSS afterwards is emulated, and obtained Closed-loop Eigenvalues can accurately and efficiently reflect power system In adjust after power system stabilizer, PSS parameter power oscillation damping effect.
Brief description of the drawings
Accompanying drawing described herein is used for providing a further understanding of the present invention, forms the part of the application, not Form limitation of the invention.In the accompanying drawings：
Fig. 1 is a kind of method for determining power system stabilizer, PSS power oscillation damping effect provided in an embodiment of the present invention Flow chart；
System for use in carrying block diagram when Fig. 2 is a kind of calculating ideal frequency curve provided in an embodiment of the present invention；
System for use in carrying block diagram when Fig. 3 is a kind of calculating residual provided in an embodiment of the present invention；
Fig. 4 is PSS1A structure charts in a kind of simulating, verifying provided in an embodiment of the present invention；
Fig. 5 is PSS4B structure charts in a kind of simulating, verifying provided in an embodiment of the present invention；
Fig. 6 (a) be in a kind of simulating, verifying provided in an embodiment of the present invention power system stabilizer, PSS to characteristic value real part Contribute schematic diagram one；
Fig. 6 (b) be in a kind of simulating, verifying provided in an embodiment of the present invention power system stabilizer, PSS to characteristic value real part Contribute schematic diagram two；
Fig. 6 (c) be in a kind of simulating, verifying provided in an embodiment of the present invention power system stabilizer, PSS to characteristic value real part Contribute schematic diagram three；
Fig. 6 (d) be in a kind of simulating, verifying provided in an embodiment of the present invention power system stabilizer, PSS to characteristic value real part Contribute schematic diagram four；
Fig. 7 is the ideal frequency curve figure of generator 29,101 in a kind of simulating, verifying provided in an embodiment of the present invention；
Fig. 8 is the phase-frequency characteristic figure of PSS1A in a kind of simulating, verifying provided in an embodiment of the present invention；
Fig. 9 is the phase-frequency characteristic figure of PSS4B in a kind of simulating, verifying provided in an embodiment of the present invention；
Figure 10 is a kind of device for determining power system stabilizer, PSS power oscillation damping effect provided in an embodiment of the present invention Structured flowchart.
Embodiment
It is right with reference to embodiment and accompanying drawing for the object, technical solutions and advantages of the present invention are more clearly understood The present invention is described in further details.Here, the exemplary embodiment of the present invention and its illustrate to be used to explain the present invention, but simultaneously It is not as a limitation of the invention.
In embodiments of the present invention, there is provided a kind of method for determining power system stabilizer, PSS power oscillation damping effect, As shown in figure 1, this method includes：
Step 101：In the case where the generator rotor angle of the generator where power system stabilizer, PSS keeps constant, the hair is obtained The excitation reference voltage of motor to electromagnetic torque frequency response characteristic；
Step 102：Calculate sensitivity of the unstable characteristic value on power system stabilizer, PSS gain；
Step 103：The power system stabilizer, PSS is adjusted according to the frequency response characteristic or the sensitivity Parameter；
Step 104：Emulated using the parameter of the power system stabilizer, PSS after adjusting, the closed loop for obtaining power system is special Value indicative.
Flow as shown in Figure 1 is understood, in embodiments of the present invention, by obtaining the excitation reference voltage of generator to electricity The frequency response characteristic (also referred to as ideal frequency curve) of magnetic torque, it is possible to achieve according to frequency response characteristic come whole Determine the parameter of power system stabilizer, PSS, that is, realize the parameter that power system stabilizer, PSS is adjusted by ideal frequency curve method, and it is logical The local mode vibration of power network can effectively be suppressed by crossing the parameter of the power system stabilizer, PSS after ideal frequency curve method is adjusted；It is logical Cross the sensitivity for calculating unstable characteristic value on power system stabilizer, PSS gain, it is possible to achieve electric power is adjusted according to the sensitivity The parameter of system stabilizer, the parameter of the power system stabilizer, PSS after being adjusted by the sensitivity can effectively suppress the office of power network The vibration of portion's pattern and region mode.The specified mould of suppression can be maximized by realizing the parameter of the power system stabilizer, PSS after adjusting The vibration of formula, the parameter based on the power system stabilizer, PSS after adjusting are emulated, obtained Closed-loop Eigenvalues can accurately, have The effect of the parameter power oscillation damping of power system stabilizer, PSS after being adjusted in the reflection power system of effect ground.
When it is implemented, frequency response characteristic (i.e. preferable frequency can be obtained by system architecture as shown in Figure 2 Rate curve), when drawing ideal frequency curve, mensuration can also be used, specifically using the method for calculation of transfer function , the excitation reference voltage of the generator is obtained to the frequency response characteristic of electromagnetic torque by below equation：
Wherein, Δ PeIt is electromagnetic torque offset, Δ VrIt is excitation reference voltages offset, HPVrIt is frequency response characteristic song Line, K2、K3、K6It is the real parameter of generator model (for example, K2、K3、K6It can be the argument in Heffron-Phillips models Number), TAIt is generator excited system time constant, KAIt is generator excited system multiplication factor, T 'doIt is in generator model Constant, I are unit diagonal matrix, and s is the independent variable after Laplace transform, and A is POWER SYSTEM STATE matrix, for example, A square Battle array expression formula is as follows：
Wherein, Δ δ is the generator rotor angle offset of generator, Δ E'qIt is generator q axle transient potential offsets, Δ EfdIt is hair Motor excitation system output voltage offset, Δ ω are the angular speed offsets of generator.
When it is implemented, after obtaining frequency response characteristic, the parameter of power system stabilizer, PSS should make its phase as far as possible Frequency characteristic and the phase-frequency characteristic of ideal frequency curve the compensation ideal frequency on the contrary, the transmission function of power system stabilizer, PSS should try one's best Curve HPVrAngle of lag, least square method can be used, specifically, can be special according to the frequency response by below equation Linearity curve adjusts the parameter of the power system stabilizer, PSS：
Wherein, ω1,ω2..., ωnIt is stepped-frequency signal, GPSS(S) be power system stabilizer, PSS transmission function, HPVr (S) it is corresponding ideal frequency curve, s is the independent variable after Laplace transform, and j is imaginary unit.
When it is implemented, spirit of the unstable characteristic value on power system stabilizer, PSS gain can be calculated by below equation Sensitivity：
Wherein,It is sensitivity of the unstable characteristic value on power system stabilizer, PSS gain, λkIt is unstable k-th Characteristic value, Ri,kIt is the power system stabilizer, PSS on i-th generator on unstable eigenvalue λkResidual, vkIt is unstable eigenvalue λkCorresponding right characteristic vector,It is unstable eigenvalue λkCorresponding left eigenvector, biIt is i-th Input matrix corresponding to the power system stabilizer, PSS of platform generator, ciBe i-th generator power system stabilizer, PSS institute it is right The output matrix answered, KPSSiIt is the gain of the power system stabilizer, PSS on i-th generator, GPSS(s,KPSSi) it is i-th generating The transmission function of power system stabilizer, PSS on machine, i, k are positive integers, and s is the independent variable after Laplace transform.Specifically , system architecture as shown in Figure 3 can be used to calculate residual, consider power system stabilizer, PSS being arranged on i-th generator On, then bi、ciIt can calculate as follows：
Wherein, ng is generator number of units.
When it is implemented, after obtaining sensitivity of the unstable characteristic value on power system stabilizer, PSS gain, can pass through Below equation adjusts the parameter of the power system stabilizer, PSS according to the sensitivity：
Wherein, λkIt is k-th of unstable characteristic value, m is positive integer, and Modeweight [k] is unstable eigenvalue λkPower Weight coefficient,It is unstable eigenvalue λkSensitivity on power system stabilizer, PSS gain.After being adjusted by sensitivity The parameter of power system stabilizer, PSS can maximize each unstable characteristic value to move to left.
When it is implemented, after adjusting the parameter of power system stabilizer, PSS by sensitivity, can be calculated by below equation Contribution is moved to left to unstable characteristic value by the power system stabilizer, PSS after parameter tuning：
Wherein, ContributionPSSiPower system stabilizer, PSS on i-th generator of [k] expression is to unstable feature Value λkMove to left contribution,It is unstable eigenvalue λkOn the sensitivity of power system stabilizer, PSS gain, KPSSiIt is i-th The gain of power system stabilizer, PSS on platform generator.Specifically, can be according to power system stabilizer, PSS to unstable characteristic value Move to left the selected installation site of contribution；The gain of the power system stabilizer, PSS of selected installation is set to the 1/3 of critical gain.
Specifically, above-mentioned determination power system stabilizer, PSS power oscillation damping effect is described below in conjunction with specific example Method.The present invention evaluation object power system stabilizer, PSS can include but is not limited to PSS1A, PSS1B, PSS2A, PSS2B, PSS4B.Object is evaluated by ideal frequency curve method and method of residues (i.e. according to sensitivity setting parameter) setting parameter, is realized Maximization moves to left specified oscillation mode, suitable for a variety of oscillation modes such as local mode, region mode.The present invention can be used for evaluating Power system stabilizer, PSS moves to left contribution to each oscillation mode, evaluates the parameter of power system stabilizer, PSS in power oscillation damping side The effect in face.
For example, two examples are established in Maple softwares.Example 1 includes 25 generators, 162 buses.Example 2 wraps Include 188 generators, 2383 buses.Example chooses two kinds of power system stabilizer 1A (as shown in Figure 4), PSS4B (such as Shown in Fig. 5) evaluated.
It is as shown in table 1 below that example 1 uses method of residues to adjust parameters of power system stabilizer result：
Table 1
Wherein, it is mounted with power system stabilizer, PSS on the 3rd, 5,21,22 generator.
Two kinds of power system stabilizers 1A, PSS4B move to left effect such as table 2 below in example 1 to unstable characteristic value It is shown：
Pattern/type Characteristic value during PSS is not installed Mode Weight Characteristic value after PSS1A is installed Characteristic value after PSS4B is installed
54/ area oscillation 0.02±j8.51 100 -2.51±j4.65 -0.18±j8.88
56/ area oscillation -0.04±j4.38 50 -0.34±j4.71 -0.32±j4.80
61/ area oscillation -0.14±j5.06 25 -0.17±j5.30 -0.17±j5.30
63/ area oscillation -0.12±j5.53 25 -0.78±j6.28 -0.66±j6.35
Table 2
Using method of residues analyze power system stabilizer, PSS to contribution such as Fig. 6 (a) of unstable characteristic value under each oscillation mode, Shown in 6 (b), 6 (c) and 6 (d).
It is as shown in table 3 below that example 2 uses ideal frequency curve method to adjust parameters of power system stabilizer result：
Table 3
Wherein, it is mounted with power system stabilizer, PSS on the 29th, 101 generator, two kinds of power system stabilizer 1A, PSS4B in example 1 to unstable characteristic value to move to left effect as shown in table 4 below：
Pattern/type Characteristic value during PSS is not installed Main force's unit Characteristic value after PSS1A is installed Characteristic value after PSS4B is installed
273/ area oscillation -0.07±j3.99 / -0.07±j3.99 -0.07±j3.99
291/ local oscillation -0.13±j10.1 Gen 29 -1.98±j10.1 -1.14±j10.8
338/ local oscillation -0.16±j9.83 Gen 101 -1.82±j16.0 -2.48±j14.7
Table 4
Ideal frequency curve drawing result to the 29th, No. 101 generator is as shown in fig. 7, wherein, solid line is No. 101 hairs The ideal frequency curve of motor, dotted line are the ideal frequency curves of No. 29 generators, and abscissa represents frequency, and ordinate represents phase Angle.
Using ideal frequency curve method, parameter is carried out to the power system stabilizer 1A on the 29th, No. 101 generator Adjust, it is as shown in Figure 8 to obtain phase frequency curve.
Using ideal frequency curve method, parameter is carried out to the power system stabilizer 4B on the 29th, No. 101 generator Adjust, it is as shown in Figure 9 to obtain phase frequency curve.
As can be seen from the above results, PSS1A and PSS4B can press down to local mode and region mode vibration System, but PSS4B provides more flexible phase-frequency characteristic, therefore preferably multiple oscillation modes can be suppressed.
Based on same inventive concept, a kind of determination power system stabilizer, PSS is additionally provided in the embodiment of the present invention and suppresses low frequency The device of oscillation effect, as described in the following examples.Due to determining the dress of power system stabilizer, PSS power oscillation damping effect It is similar to the method for determining power system stabilizer, PSS power oscillation damping effect to put the principle solved the problems, such as, it is thus determined that power train The implementation of the device for stabilizer power oscillation damping effect of uniting may refer to determine power system stabilizer, PSS power oscillation damping effect The implementation of the method for fruit, repeat part and repeat no more.Used below, term " unit " or " module " can be realized predetermined The combination of the software and/or hardware of function.Although device described by following examples is preferably realized with software, firmly Part, or the realization of the combination of software and hardware is also what may and be contemplated.
Figure 10 is a kind of knot of the device of the determination power system stabilizer, PSS power oscillation damping effect of the embodiment of the present invention Structure block diagram, as shown in Figure 10, including：Curve acquisition module 1001, computing module 1002, parameter tuning module 1003 and emulation Module 1004, the structure is illustrated below.
Curve acquisition module 1001, constant situation is kept for the generator rotor angle in the generator where power system stabilizer, PSS Under, the excitation reference voltage of the generator is obtained to the frequency response characteristic of electromagnetic torque；
Computing module 1002, for calculating sensitivity of the unstable characteristic value on power system stabilizer, PSS gain；
Parameter tuning module 1003, it is connected with curve acquisition module 1001 and computing module 1002, for according to the frequency The parameter of the power system stabilizer, PSS is adjusted in rate resonse characteristic or the sensitivity；
Emulation module 1004, it is connected with parameter tuning module 1003, for utilizing the power system stabilizer, PSS after adjusting Parameter is emulated, and obtains the Closed-loop Eigenvalues of power system.
In one embodiment, the curve acquisition module 1001 is used to obtain encouraging for the generator by below equation Magnetic reference voltage to electromagnetic torque frequency response characteristic：
Wherein, Δ PeIt is electromagnetic torque offset, Δ VrIt is excitation reference voltages offset, HPVrIt is frequency response characteristic song Line, K2、K3、K6It is the real parameter of generator model, TAIt is generator excited system time constant, KAIt is that generator excited system is put Big multiple, T 'doIt is the constant in generator model, I is unit diagonal matrix, and s is the independent variable after Laplace transform, and A is POWER SYSTEM STATE matrix.
In one embodiment, the parameter tuning module 1003 is used for special according to the frequency response by below equation Linearity curve adjusts the parameter of the power system stabilizer, PSS：
Wherein, ω1,ω2..., ωnIt is stepped-frequency signal, GPSS(S) be power system stabilizer, PSS transmission function, HPVr (S) it is corresponding ideal frequency curve, s is the independent variable after Laplace transform, and j is imaginary unit.
In one embodiment, the computing module 1002 is used to calculate unstable characteristic value on electricity by below equation The sensitivity of Force system stabilizer gain：
Wherein,It is sensitivity of the unstable characteristic value on power system stabilizer, PSS gain, λkIt is unstable k-th Characteristic value, Ri,kIt is the power system stabilizer, PSS on i-th generator on unstable eigenvalue λkResidual, vkIt is unstable eigenvalue λkCorresponding right characteristic vector,It is unstable eigenvalue λkCorresponding left eigenvector, biIt is i-th Input matrix corresponding to the power system stabilizer, PSS of platform generator, ciBe i-th generator power system stabilizer, PSS institute it is right The output matrix answered, KPSSiIt is the gain of the power system stabilizer, PSS on i-th generator, GPSS(s,KPSSi) it is i-th generating The transmission function of power system stabilizer, PSS on machine, i, k are positive integers, and s is the independent variable after Laplace transform.
In one embodiment, it is whole according to the sensitivity by below equation to be additionally operable to 1003 for the parameter tuning module The parameter of the fixed power system stabilizer, PSS：
Wherein, λkIt is k-th of unstable characteristic value, m is positive integer, and Modeweight [k] is unstable eigenvalue λkPower Weight coefficient,It is unstable eigenvalue λkSensitivity on power system stabilizer, PSS gain.
In one embodiment, in addition to：Contribution calculation module is moved to left, it is whole by parameter for being calculated by below equation Power system stabilizer, PSS after fixed moves to left contribution to unstable characteristic value：
Wherein, ContributionPSSiPower system stabilizer, PSS on i-th generator of [k] expression is to unstable feature Value λkMove to left contribution,It is unstable eigenvalue λkOn the sensitivity of power system stabilizer, PSS gain, KPSSiIt is i-th The gain of power system stabilizer, PSS on platform generator.
In embodiments of the present invention, by obtaining the excitation reference voltage of generator to the frequency response characteristic of electromagnetic torque Curve (also referred to as ideal frequency curve), it is possible to achieve the ginseng of power system stabilizer, PSS is adjusted according to frequency response characteristic Number, that is, the parameter that power system stabilizer, PSS is adjusted by ideal frequency curve method is realized, and adjusted by ideal frequency curve method The parameter of power system stabilizer, PSS afterwards can effectively suppress the local mode vibration of power network；Closed by calculating unstable characteristic value In the sensitivity of power system stabilizer, PSS gain, it is possible to achieve the parameter of power system stabilizer, PSS is adjusted according to the sensitivity, is led to The local mode and region mode of power network can effectively be suppressed by crossing the parameter of the power system stabilizer, PSS after the sensitivity is adjusted Vibration.The vibration for suppressing designated mode can be maximized by realizing the parameter of the power system stabilizer, PSS after adjusting, based on adjusting The parameter of power system stabilizer, PSS afterwards is emulated, and obtained Closed-loop Eigenvalues can accurately and efficiently reflect power system In adjust after power system stabilizer, PSS parameter power oscillation damping effect.
Obviously, those skilled in the art should be understood that each module of the above-mentioned embodiment of the present invention or each step can be with Realized with general computing device, they can be concentrated on single computing device, or are distributed in multiple computing devices On the network formed, alternatively, they can be realized with the program code that computing device can perform, it is thus possible to by it Store and performed in the storage device by computing device, and in some cases, can be to be held different from order herein They, are either fabricated to each integrated circuit modules or will be multiple in them by the shown or described step of row respectively Module or step are fabricated to single integrated circuit module to realize.So, the embodiment of the present invention is not restricted to any specific hard Part and software combine.
The preferred embodiments of the present invention are the foregoing is only, are not intended to limit the invention, for the skill of this area For art personnel, the embodiment of the present invention can have various modifications and variations.Within the spirit and principles of the invention, made Any modification, equivalent substitution and improvements etc., should be included in the scope of the protection.

Claims (5)

  1. A kind of 1. method for determining power system stabilizer, PSS power oscillation damping effect, it is characterised in that including：
    In the case where the generator rotor angle of the generator where power system stabilizer, PSS keeps constant, the excitation ginseng of the generator is obtained Voltage is examined to the frequency response characteristic of electromagnetic torque；
    Calculate sensitivity of the unstable characteristic value on power system stabilizer, PSS gain；
    The parameter of the power system stabilizer, PSS is adjusted according to the frequency response characteristic or the sensitivity；
    Emulated using the parameter of the power system stabilizer, PSS after adjusting, obtain the Closed-loop Eigenvalues of power system；
    Sensitivity of the unstable characteristic value on power system stabilizer, PSS gain is calculated by below equation：
    <mrow> <mfrac> <mrow> <mo>&amp;part;</mo> <msub> <mi>&amp;lambda;</mi> <mi>k</mi> </msub> </mrow> <mrow> <mo>&amp;part;</mo> <msub> <mi>K</mi> <mrow> <mi>P</mi> <mi>S</mi> <mi>S</mi> <mi>i</mi> </mrow> </msub> </mrow> </mfrac> <mo>=</mo> <msub> <mi>R</mi> <mrow> <mi>i</mi> <mo>,</mo> <mi>k</mi> </mrow> </msub> <mo>&amp;CenterDot;</mo> <mfrac> <mrow> <mo>&amp;part;</mo> <msub> <mi>G</mi> <mrow> <mi>P</mi> <mi>S</mi> <mi>S</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>s</mi> <mo>,</mo> <msub> <mi>K</mi> <mrow> <mi>P</mi> <mi>S</mi> <mi>S</mi> <mi>i</mi> </mrow> </msub> <mo>)</mo> </mrow> </mrow> <mrow> <mo>&amp;part;</mo> <msub> <mi>K</mi> <mrow> <mi>P</mi> <mi>S</mi> <mi>S</mi> <mi>i</mi> </mrow> </msub> </mrow> </mfrac> <msub> <mo>|</mo> <mrow> <mi>s</mi> <mo>=</mo> <msub> <mi>&amp;lambda;</mi> <mi>k</mi> </msub> </mrow> </msub> </mrow>
    Wherein,It is sensitivity of the unstable characteristic value on power system stabilizer, PSS gain, λkIt is k-th of unstable spy Value indicative, Ri,kIt is the power system stabilizer, PSS on i-th generator on unstable eigenvalue λkResidual, vkIt is unstable eigenvalue λkCorresponding right characteristic vector,It is unstable eigenvalue λkCorresponding left eigenvector, biIt is i-th Input matrix corresponding to the power system stabilizer, PSS of platform generator, ciBe i-th generator power system stabilizer, PSS institute it is right The output matrix answered, KPSSiIt is the gain of the power system stabilizer, PSS on i-th generator, GPSS(s,KPSSi) it is i-th generating The transmission function of power system stabilizer, PSS on machine, i, k are positive integers, and s is the independent variable after Laplace transform；
    The parameter of the power system stabilizer, PSS is adjusted according to the frequency response characteristic by below equation：
    <mrow> <mi>min</mi> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>s</mi> <mo>=</mo> <msub> <mi>j&amp;omega;</mi> <mn>1</mn> </msub> </mrow> <mrow> <msub> <mi>j&amp;omega;</mi> <mi>n</mi> </msub> </mrow> </munderover> <mo>|</mo> <mo>&amp;angle;</mo> <msub> <mi>G</mi> <mrow> <mi>P</mi> <mi>S</mi> <mi>S</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>s</mi> <mo>)</mo> </mrow> <mo>+</mo> <mo>&amp;angle;</mo> <msub> <mi>H</mi> <mrow> <mi>P</mi> <mi>V</mi> <mi>r</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>s</mi> <mo>)</mo> </mrow> <mo>|</mo> </mrow>
    Wherein, ω1,ω2..., ωnIt is stepped-frequency signal, n is positive integer, GPSS(S) be power system stabilizer, PSS transmission letter Number, HPVr(S) it is frequency response characteristic, s is the independent variable after Laplace transform, and j is imaginary unit；
    The parameter of the power system stabilizer, PSS is adjusted according to the sensitivity by below equation：
    <mfenced open = "" close = ""> <mtable> <mtr> <mtd> <mrow> <mi>m</mi> <mi>i</mi> <mi>n</mi> </mrow> </mtd> <mtd> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>m</mi> </munderover> <mi>Re</mi> <mrow> <mo>(</mo> <mi>M</mi> <mi>o</mi> <mi>d</mi> <mi>e</mi> <mi>w</mi> <mi>e</mi> <mi>i</mi> <mi>g</mi> <mi>h</mi> <mi>t</mi> <mo>&amp;lsqb;</mo> <mi>k</mi> <mo>&amp;rsqb;</mo> <mo>&amp;CenterDot;</mo> <mfrac> <mrow> <mo>&amp;part;</mo> <msub> <mi>&amp;lambda;</mi> <mi>k</mi> </msub> </mrow> <mrow> <mo>&amp;part;</mo> <msub> <mi>K</mi> <mrow> <mi>P</mi> <mi>S</mi> <mi>S</mi> <mi>i</mi> </mrow> </msub> </mrow> </mfrac> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> </mtable> </mfenced>
    Wherein, λkIt is k-th of unstable characteristic value, m is positive integer, and Modeweight [k] is unstable eigenvalue λkWeight system Number,It is unstable eigenvalue λkSensitivity on power system stabilizer, PSS gain.
  2. 2. the method for power system stabilizer, PSS power oscillation damping effect is determined as claimed in claim 1, it is characterised in that logical Cross below equation and obtain the excitation reference voltage of the generator to the frequency response characteristic of electromagnetic torque：
    <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>&amp;Delta;P</mi> <mi>e</mi> </msub> <mo>=</mo> <msub> <mi>H</mi> <mrow> <mi>P</mi> <mi>V</mi> <mi>r</mi> </mrow> </msub> <msub> <mi>&amp;Delta;V</mi> <mi>r</mi> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>H</mi> <mrow> <mi>P</mi> <mi>V</mi> <mi>r</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>K</mi> <mn>2</mn> </msub> <msup> <mrow> <mo>(</mo> <msubsup> <mi>T</mi> <mi>A</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <msub> <mi>K</mi> <mi>A</mi> </msub> <msub> <mi>K</mi> <mn>6</mn> </msub> <mo>+</mo> <mo>(</mo> <mrow> <mi>s</mi> <mi>I</mi> <mo>+</mo> <msubsup> <mi>T</mi> <mi>A</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> </mrow> <mo>)</mo> <mo>(</mo> <mrow> <msubsup> <mi>sT</mi> <mrow> <mi>d</mi> <mi>o</mi> </mrow> <mo>&amp;prime;</mo> </msubsup> <mo>+</mo> <msub> <mi>K</mi> <mn>3</mn> </msub> </mrow> <mo>)</mo> <mo>)</mo> </mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> <msubsup> <mi>T</mi> <mi>A</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <msub> <mi>K</mi> <mi>A</mi> </msub> </mrow> </mtd> </mtr> </mtable> </mfenced>
    Wherein, Δ PeIt is electromagnetic torque offset, Δ VrIt is excitation reference voltages offset, HPVrIt is frequency response characteristic, K2、K3、K6It is the real parameter of generator model, TAIt is generator excited system time constant, KAIt is generator excited system amplification Multiple, T 'doIt is the constant in generator model, I is unit diagonal matrix, and s is the independent variable after Laplace transform.
  3. 3. the method for the determination power system stabilizer, PSS power oscillation damping effect as any one of claim 1 to 2, its It is characterised by, in addition to：Power system stabilizer, PSS after passing through parameter tuning is calculated to unstable characteristic value by below equation Move to left contribution：
    <mrow> <msub> <mi>Contribution</mi> <mrow> <mi>P</mi> <mi>S</mi> <mi>S</mi> <mi>i</mi> </mrow> </msub> <mo>&amp;lsqb;</mo> <mi>k</mi> <mo>&amp;rsqb;</mo> <mo>=</mo> <mi>Re</mi> <mrow> <mo>(</mo> <mfrac> <mrow> <mo>&amp;part;</mo> <msub> <mi>&amp;lambda;</mi> <mi>k</mi> </msub> </mrow> <mrow> <mo>&amp;part;</mo> <msub> <mi>K</mi> <mrow> <mi>P</mi> <mi>S</mi> <mi>S</mi> <mi>i</mi> </mrow> </msub> </mrow> </mfrac> <mo>.</mo> <msub> <mi>K</mi> <mrow> <mi>P</mi> <mi>S</mi> <mi>S</mi> <mi>i</mi> </mrow> </msub> <mo>)</mo> </mrow> </mrow>
    Wherein, ContributionPSSiPower system stabilizer, PSS on i-th generator of [k] expression is to unstable eigenvalue λk's Move to left contribution,It is unstable eigenvalue λkOn the sensitivity of power system stabilizer, PSS gain, KPSSiIt is i-th generating The gain of power system stabilizer, PSS on machine.
  4. A kind of 4. device for determining power system stabilizer, PSS power oscillation damping effect, it is characterised in that including：
    Curve acquisition module, in the case of keeping constant in the generator rotor angle of the generator where power system stabilizer, PSS, obtain The excitation reference voltage of the generator to electromagnetic torque frequency response characteristic；
    Computing module, for calculating sensitivity of the unstable characteristic value on power system stabilizer, PSS gain；
    Parameter tuning module, for adjusting the power system stability according to the frequency response characteristic or the sensitivity The parameter of device；
    Emulation module, for being emulated using the parameter of the power system stabilizer, PSS after adjusting, obtain the closed loop of power system Characteristic value；
    The computing module calculates sensitivity of the unstable characteristic value on power system stabilizer, PSS gain by below equation：
    <mrow> <mfrac> <mrow> <mo>&amp;part;</mo> <msub> <mi>&amp;lambda;</mi> <mi>k</mi> </msub> </mrow> <mrow> <mo>&amp;part;</mo> <msub> <mi>K</mi> <mrow> <mi>P</mi> <mi>S</mi> <mi>S</mi> <mi>i</mi> </mrow> </msub> </mrow> </mfrac> <mo>=</mo> <msub> <mi>R</mi> <mrow> <mi>i</mi> <mo>,</mo> <mi>k</mi> </mrow> </msub> <mo>&amp;CenterDot;</mo> <mfrac> <mrow> <mo>&amp;part;</mo> <msub> <mi>G</mi> <mrow> <mi>P</mi> <mi>S</mi> <mi>S</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>s</mi> <mo>,</mo> <msub> <mi>K</mi> <mrow> <mi>P</mi> <mi>S</mi> <mi>S</mi> <mi>i</mi> </mrow> </msub> <mo>)</mo> </mrow> </mrow> <mrow> <mo>&amp;part;</mo> <msub> <mi>K</mi> <mrow> <mi>P</mi> <mi>S</mi> <mi>S</mi> <mi>i</mi> </mrow> </msub> </mrow> </mfrac> <msub> <mo>|</mo> <mrow> <mi>s</mi> <mo>=</mo> <msub> <mi>&amp;lambda;</mi> <mi>k</mi> </msub> </mrow> </msub> </mrow>
    Wherein,It is sensitivity of the unstable characteristic value on power system stabilizer, PSS gain, λkIt is k-th of unstable spy Value indicative, Ri,kIt is the power system stabilizer, PSS on i-th generator on unstable eigenvalue λkResidual, vkIt is unstable eigenvalue λkCorresponding right characteristic vector,It is unstable eigenvalue λkCorresponding left eigenvector, biIt is i-th Input matrix corresponding to the power system stabilizer, PSS of platform generator, ciBe i-th generator power system stabilizer, PSS institute it is right The output matrix answered, KPSSiIt is the gain of the power system stabilizer, PSS on i-th generator, GPSS(s,KPSSi) it is i-th generating The transmission function of power system stabilizer, PSS on machine, i, k are positive integers, and s is the independent variable after Laplace transform；
    The parameter tuning module adjusts the power system stability by below equation according to the frequency response characteristic The parameter of device：
    <mrow> <mi>min</mi> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>s</mi> <mo>=</mo> <msub> <mi>j&amp;omega;</mi> <mn>1</mn> </msub> </mrow> <mrow> <msub> <mi>j&amp;omega;</mi> <mi>n</mi> </msub> </mrow> </munderover> <mo>|</mo> <mo>&amp;angle;</mo> <msub> <mi>G</mi> <mrow> <mi>P</mi> <mi>S</mi> <mi>S</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>s</mi> <mo>)</mo> </mrow> <mo>+</mo> <mo>&amp;angle;</mo> <msub> <mi>H</mi> <mrow> <mi>P</mi> <mi>V</mi> <mi>r</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>s</mi> <mo>)</mo> </mrow> <mo>|</mo> </mrow>
    Wherein, ω1,ω2..., ωnIt is stepped-frequency signal, GPSS(S) be power system stabilizer, PSS transmission function, HPVr(S) it is Corresponding ideal frequency curve, s are the independents variable after Laplace transform, and j is imaginary unit；
    The parameter tuning module is additionally operable to adjust the power system stabilizer, PSS according to the sensitivity by below equation Parameter：
    <mfenced open = "" close = ""> <mtable> <mtr> <mtd> <mrow> <mi>m</mi> <mi>i</mi> <mi>n</mi> </mrow> </mtd> <mtd> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>m</mi> </munderover> <mi>Re</mi> <mrow> <mo>(</mo> <mi>M</mi> <mi>o</mi> <mi>d</mi> <mi>e</mi> <mi>w</mi> <mi>e</mi> <mi>i</mi> <mi>g</mi> <mi>h</mi> <mi>t</mi> <mo>&amp;lsqb;</mo> <mi>k</mi> <mo>&amp;rsqb;</mo> <mo>&amp;CenterDot;</mo> <mfrac> <mrow> <mo>&amp;part;</mo> <msub> <mi>&amp;lambda;</mi> <mi>k</mi> </msub> </mrow> <mrow> <mo>&amp;part;</mo> <msub> <mi>K</mi> <mrow> <mi>P</mi> <mi>S</mi> <mi>S</mi> <mi>i</mi> </mrow> </msub> </mrow> </mfrac> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> </mtable> </mfenced>
    Wherein, λkIt is k-th of unstable characteristic value, m is positive integer, and Modeweight [k] is unstable eigenvalue λkWeight system Number,It is unstable eigenvalue λkSensitivity on power system stabilizer, PSS gain.
  5. 5. the device of power system stabilizer, PSS power oscillation damping effect is determined as claimed in claim 4, it is characterised in that institute The frequency response for stating excitation reference voltage to electromagnetic torque that curve acquisition module obtains the generator by below equation is special Linearity curve：
    <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>&amp;Delta;P</mi> <mi>e</mi> </msub> <mo>=</mo> <msub> <mi>H</mi> <mrow> <mi>P</mi> <mi>V</mi> <mi>r</mi> </mrow> </msub> <msub> <mi>&amp;Delta;V</mi> <mi>r</mi> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>H</mi> <mrow> <mi>P</mi> <mi>V</mi> <mi>r</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>K</mi> <mn>2</mn> </msub> <msup> <mrow> <mo>(</mo> <msubsup> <mi>T</mi> <mi>A</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <msub> <mi>K</mi> <mi>A</mi> </msub> <msub> <mi>K</mi> <mn>6</mn> </msub> <mo>+</mo> <mo>(</mo> <mrow> <mi>s</mi> <mi>I</mi> <mo>+</mo> <msubsup> <mi>T</mi> <mi>A</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> </mrow> <mo>)</mo> <mo>(</mo> <mrow> <msubsup> <mi>sT</mi> <mrow> <mi>d</mi> <mi>o</mi> </mrow> <mo>&amp;prime;</mo> </msubsup> <mo>+</mo> <msub> <mi>K</mi> <mn>3</mn> </msub> </mrow> <mo>)</mo> <mo>)</mo> </mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> <msubsup> <mi>T</mi> <mi>A</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <msub> <mi>K</mi> <mi>A</mi> </msub> </mrow> </mtd> </mtr> </mtable> </mfenced>
    Wherein, Δ PeIt is electromagnetic torque offset, Δ VrIt is excitation reference voltages offset, HPVrIt is frequency response characteristic, K2、K3、K6It is the real parameter of generator model, TAIt is generator excited system time constant, KAIt is generator excited system amplification Multiple, T 'doIt is the constant in generator model, I is unit diagonal matrix, and s is the independent variable after Laplace transform.
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