CN114759618A - Method and system for determining stability of double-fed wind power grid-connected system based on dynamic energy - Google Patents

Method and system for determining stability of double-fed wind power grid-connected system based on dynamic energy Download PDF

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CN114759618A
CN114759618A CN202111671502.3A CN202111671502A CN114759618A CN 114759618 A CN114759618 A CN 114759618A CN 202111671502 A CN202111671502 A CN 202111671502A CN 114759618 A CN114759618 A CN 114759618A
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fan
determining
variation
characterizing
fed wind
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马静
周易
李佳伦
徐艺桐
沈雅琦
王增平
程鹏
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North China Electric Power University
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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
    • H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers
    • H02J3/46—Controlling of the sharing of output between the generators, converters, or transformers
    • H02J3/48—Controlling the sharing of the in-phase component
    • 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
    • H02J3/241—The oscillation concerning frequency
    • 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
    • H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers
    • H02J3/381—Dispersed generators
    • 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
    • H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers
    • H02J3/40—Synchronising a generator for connection to a network or to another generator
    • 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
    • H02J2300/00—Systems for supplying or distributing electric power characterised by decentralized, dispersed, or local generation
    • H02J2300/20—The dispersed energy generation being of renewable origin
    • H02J2300/28—The renewable source being wind energy

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Abstract

The application relates to a method and a system for determining the operation stability of a doubly-fed wind power grid-connected system based on dynamic energy, belonging to the technical field of wind power generation systems, wherein the method comprises the following steps: determining the variation of the line transmission power of the fan, the variation of the deviation power and the variation of the virtual inertia compensation power; determining the active power and the variable quantity of a power angle of the synchronous machine; determining the dynamic energy of the fan in the low-frequency oscillation state according to the variable quantity of the line transmission power, the variable quantity of the deviation power and the variable quantity of the virtual inertia compensation power; determining the dynamic energy of the synchronous machine in a low-frequency oscillation state according to the active power and the variable quantity of the power angle; and determining a stability domain of the doubly-fed wind power grid-connected system according to the dynamic energy of the fan and the synchronous machine in the low-frequency oscillation state in the same time period, and judging the operation stability of the doubly-fed wind power grid-connected system based on the stability domain. The technical scheme provided by the application is more suitable for the double-fed wind power grid-connected system in the actual scene.

Description

Method and system for determining stability of double-fed wind power grid-connected system based on dynamic energy
Technical Field
The invention belongs to the technical field of wind power generation systems, and particularly relates to a method and a system for determining the operation stability of a double-fed wind power grid-connected system based on dynamic energy.
Background
After the large-proportion high-permeability wind power is connected into a power grid, the influence of a wind turbine generator with virtual inertia on system stability is comprehensively examined, and the method has important significance for mastering dynamic behavior characteristics of a wind power grid-connected system and formulating a parameter adjustment strategy.
At present, the existing research focuses on simplifying the fan model to different degrees from the viewpoint of system tide. And according to the simplified model, determining the stable domain of the doubly-fed wind power grid-connected system by analyzing the influence of the wind power grid-connected on the oscillation mode and the damping characteristic of the system.
Although the method is suitable for a research scene, the mutual influence among all control links of the wind turbine generator cannot be fully considered, the dynamic behavior characteristics of the wind turbine generator with inertia supporting capability are difficult to reflect, and the like, so that the method is not suitable for a double-fed wind power grid-connected system in an actual scene.
Disclosure of Invention
In view of the foregoing analysis, the present application aims to provide a method and a system for determining the operation stability of a doubly-fed wind power grid-connected system based on dynamic energy, so as to solve at least one of the above technical problems.
The purpose of the application is mainly realized by the following technical scheme:
On one hand, the application provides a method for determining the operation stability of a double-fed wind power grid-connected system based on dynamic energy, wherein the double-fed wind power grid-connected system comprises a fan and a synchronous machine; the method comprises the following steps:
when the doubly-fed wind power grid-connected system stably operates, determining the variable quantity of line transmission power of the fan, the variable quantity of deviation power and the variable quantity of virtual inertia compensation power caused by incomplete tracking of a phase-locked loop, and determining the variable quantity of active power and the variable quantity of a power angle of the synchronous machine;
determining the dynamic energy of the fan in the low-frequency oscillation state according to the variation of the line transmission power, the variation of the deviation power caused by incomplete tracking of the phase-locked loop and the variation of the virtual inertia compensation power;
determining the dynamic energy of the synchronous machine in a low-frequency oscillation state according to the variable quantity of the active power and the variable quantity of the power angle;
and determining a stable domain of the doubly-fed wind power grid-connected system according to the dynamic energy of the fan in the low-frequency oscillation state and the dynamic energy of the synchronous machine in the low-frequency oscillation state in the same time period, and judging the operation stability of the doubly-fed wind power grid-connected system based on the stable domain.
Further, determining the variation of the line transmission power of the fan and the variation of the deviation power caused by incomplete tracking of the phase-locked loop includes:
collecting the voltage amplitude and the current amplitude of the outlet of the fan, the amplitude and the phase angle of the voltage of the PCC point corresponding to the fan and the reactance of the fan transmission line;
determining the variation of the line transmission power of the fan and the variation of the deviation power according to the voltage amplitude of the outlet, the current amplitude of the outlet, the amplitude of the voltage at the PCC point, the phase angle of the voltage at the PCC point and the following formula:
Figure BDA0003449661830000021
wherein i represents the fan serial number, Δ PLiVariable quantity, delta P, representing line transmission power of ith fanEiCharacterisation of the firstDeviation power variation, U, of i fanssi.0Initial value of voltage amplitude, I, representing outlet of ith fansi.0Initial value of current amplitude, U, representing outlet of ith fanPCC.0Characterizing an initial value of the amplitude, Δ θ, of the PCC point voltagePCCA variation, X, of a phase angle characterizing the voltage of the PCC pointLiFor the ith fan to send out line reactance, Δ θsiThe variation of the phase angle of the voltage representing the outlet of the ith fan, Delta thetaplliCharacterizing the amount of change, θ, in the phase angle of the phase-locked loop of the ith fan si.0Initial phase angle theta of outlet voltage of the ith fanplli.0Initial phase angle theta of phase-locked loop for characterizing ith fanPCC.0The initial phase angle of the voltage at the PCC point is characterized,
Figure BDA0003449661830000033
characterizing the initial value of the power factor, KLiCharacterize ith Fan Δ PLiA corresponding constant.
Further, determining the amount of change in the virtual inertia compensation power includes:
determining a virtual inertia differential gain coefficient of the fan and the frequency of a phase-locked loop;
determining the variation of the virtual inertia compensation power according to the virtual inertia differential gain coefficient and the frequency of the phase-locked loop by the following formula,
Figure BDA0003449661830000031
wherein i represents the fan serial number, Δ PviRepresenting the variation of the virtual inertia compensation power of the ith fan, delta fmeasThe frequency variation of the phase-locked loop of the ith fan is represented,
Figure BDA0003449661830000032
second order differential, K, characterizing the phase angle variation of the phase locked loop of the ith fanviAnd characterizing the virtual inertia differential gain coefficient of the ith fan.
Further, the determining, according to the variation of the line transmission power, the variation of the offset power caused by incomplete tracking of the phase-locked loop, and the variation of the virtual inertia compensation power, the dynamic energy of the fan in the low-frequency oscillation state includes:
determining the dynamic energy of each fan in the doubly-fed wind power grid-connected system in a low-frequency oscillation state by using the following formula:
ΔWDFIGi＝∫ΔPLidΔθplli+∫ΔPEidΔθplli+∫ΔPvidΔθplli；
Wherein, Δ WDFIGiCharacterisation of the i-th wind turbine dynamic energy, Δ PLiThe variation, delta P, of the line transmission power of the ith fan is representedEiCharacterizing the variation of the power of the i-th station deviation, Δ PviAnd representing the variation of the virtual inertia compensation power of the ith fan.
Further, the determining a stable domain of the doubly-fed wind power grid-connected system according to the dynamic energy of the wind turbine and the dynamic energy of the synchronous machine in the low-frequency oscillation state in the same time period includes:
determining a stable domain boundary using the following equation:
Figure BDA0003449661830000041
wherein, WSGCharacterizing the dynamic energy of the synchronous machine, WfCharacterizing the dynamic energy of the fan, x characterizing the total number of said synchronous machines, y characterizing the total number of said fan, ω characterizing the oscillation frequency, Usi.0Initial value of voltage amplitude, I, representing outlet of ith fansi.0Initial value of current amplitude, M, characterizing the outlet of the ith fanjFor characterizing the inertia time constant of the jth synchronous machine, ci、diConstant, e, for characterizing the ith fanj、fjFor characterizing the corresponding constant, D, of the jth synchronizerjDamping coefficient, M, for characterizing the jth synchronization1Inertial time constant, D, for characterizing a reference machine1For characterizing referencesThe damping coefficient of the machine is determined by the damping coefficient,
Figure BDA0003449661830000042
for characterizing the initial value of the power factor, K LiCharacterize ith Fan Δ PLiCorresponding constant, KpiIs used for characterizing the phase-locked loop proportionality coefficient of the ith fan,
Figure BDA0003449661830000043
for characterizing the PCC Point oscillation phase Angle, θUFor characterizing the amplitude, K, of the oscillation phase angle of the PCC pointsviCharacterizing the virtual inertia differential gain coefficient, K, of the ith faniiThe method is used for representing the phase-locked loop integral coefficient of the ith fan.
Further, a mathematical expression of the stable domain of the doubly-fed wind power grid-connected system is displayed in an image mode.
Further, detecting whether the current oscillation frequency of the double-fed wind power grid-connected system generates low-frequency oscillation or not;
when the double-fed wind power grid-connected system generates low-frequency oscillation, acquiring the current system potential energy of the double-fed wind power grid-connected system;
determining whether the current system potential energy is within the stable domain;
and if so, determining that the doubly-fed wind power grid-connected system is stable in operation, otherwise, determining that the doubly-fed wind power grid-connected system is unstable in operation.
On the other hand, the embodiment of the invention provides a system for determining the stability of a doubly-fed wind power grid-connected system based on dynamic energy, which is characterized by comprising the following steps: the device comprises a first data determining module, a first data processing module, a second data determining module, a second data processing module and a stable domain generating module;
The double-fed wind power grid-connected system comprises: a fan and a synchronizer;
the first data determining module is used for determining the variation of the line transmission power of the fan, the deviation power variation caused by incomplete tracking of a phase-locked loop and the variation of virtual inertia compensation power when the double-fed wind power grid-connected system stably operates;
the first data processing module is used for determining the dynamic energy of the fan in the low-frequency oscillation state according to the variation of the line transmission power, the variation of the deviation power caused by incomplete tracking of the phase-locked loop and the variation of the virtual inertia compensation power;
the second data determining module is used for determining the active power variation and the power angle variation of the synchronous machine when the doubly-fed wind power grid-connected system stably operates;
the second data processing module is used for determining the dynamic energy of the synchronous machine in the low-frequency oscillation state according to the variable quantity of the active power and the variable quantity of the power angle
The stability domain generation module is used for determining a stability domain of the doubly-fed wind power grid-connected system according to the dynamic energy of the fan in the low-frequency oscillation state and the dynamic energy of the synchronous machine in the low-frequency oscillation state in the same time period, and the stability domain is used for representing the quantity relation among system potential energy, the dynamic energy of the synchronous machine and the dynamic energy of the fan.
Further, the system further comprises: a display module;
the display module is used for displaying the mathematical expression of the stable domain of the doubly-fed wind power grid-connected system in a visual mode.
Further, the system further comprises: a detection module;
the detection module is used for detecting whether the current oscillation frequency of the doubly-fed wind power grid-connected system generates low-frequency oscillation or not; when the double-fed wind power grid-connected system generates low-frequency oscillation, acquiring the current system potential energy of the double-fed wind power grid-connected system; determining whether the current system potential energy is within the stable domain; and if so, determining that the doubly-fed wind power grid-connected system is stable in operation, otherwise, determining that the doubly-fed wind power grid-connected system is unstable in operation.
Compared with the prior art, the application can at least realize one of the following technical effects:
1. the influence of the output frequency of the phase-locked loop on the virtual inertia control is digitalized by introducing the variable quantity of the line transmission power of the fan, the variable quantity of the deviation power and the variable quantity of the virtual inertia compensation power caused by incomplete tracking of the phase-locked loop and the quantity relation among the parameters, and the stable domain of the double-fed wind power grid-connected system is constructed by taking the influence as the starting point, so that the influence of the phase-locked loop link on the virtual inertia control link is considered when the energy stability of the system is evaluated, and the method for determining the stable domain is more suitable for the double-fed wind power grid-connected system in the actual scene.
2. The stability domain is displayed in an image mode, so that the stability of the double-fed wind power grid-connected system can be analyzed, and the method for determining the stability domain is further suitable for the double-fed wind power grid-connected system in an actual scene.
Additional features and advantages of the application will be set forth in the description which follows, and in part will be obvious from the description, or may be learned by the practice of the application. The objectives and other advantages of the application may be realized and attained by the structure particularly pointed out in the written description and drawings.
Drawings
The drawings are only for purposes of illustrating particular embodiments and are not to be construed as limiting the application, wherein like reference numerals are used to designate like parts throughout.
FIG. 1 is a schematic flow chart of a frequency differential-based virtual inertia control logic provided in an embodiment of the present application;
fig. 2 is a schematic diagram of a stator voltage orientation based phase-locked loop structure according to an embodiment of the present application;
fig. 3 is a flowchart of a method for determining stability of a doubly-fed wind power grid-connected system based on dynamic energy according to an embodiment of the present application;
fig. 4 is a schematic diagram of a two-dimensional node injection space energy stability domain provided in an embodiment of the present application;
Fig. 5 is a schematic structural diagram of an IEEE 4 machine 11 node system including a wind farm according to an embodiment of the present application;
fig. 6a is a three-dimensional schematic diagram of an energy stability domain (f is 1.4Hz intra-zone low-frequency oscillation) of a wind power grid-connected system according to an embodiment of the present application;
fig. 6b is a three-dimensional schematic diagram of an energy stability domain (low-frequency oscillation in an interval of 0.69 Hz) of the wind power grid-connected system according to the embodiment of the present application;
fig. 6c is a network synchronizer G corresponding to fig. 6a provided in an embodiment of the present application1Power angle curve in the oscillation process;
fig. 6d is a network synchronizer G corresponding to fig. 6b provided in the embodiment of the present application1Power angle curve in the oscillation process;
FIG. 7a is a phase-locked loop K associated with an energy stability domain of a wind power grid-connected system according to an embodiment of the present applicationpA schematic of the parameter variation (oscillation state within the zone);
FIG. 7b is a phase-locked loop K associated with an energy stability domain of a wind power grid-connected system according to an embodiment of the present applicationpA schematic diagram of the variation of the parameters (interval oscillation state);
FIG. 8a is a phase-locked loop K associated with an energy stability domain of a wind power grid-connected system according to an embodiment of the present applicationiA schematic of the parameter variation (oscillation state within the zone);
FIG. 8b is a phase-locked loop K associated with an energy stability domain of a wind power grid-connected system according to an embodiment of the present applicationiA schematic diagram of the variation of the parameters (interval oscillation state); .
Fig. 9a illustrates virtual inertia K along with an energy stability domain of a wind power grid-connected system according to an embodiment of the present applicationviA schematic of the parameter variation (oscillation state within the zone);
fig. 9b shows virtual inertia K along with an energy stability domain of a wind power grid-connected system according to an embodiment of the present applicationviSchematic representation of the parameter variation (interval oscillation state).
Detailed Description
The accompanying drawings, which are incorporated in and constitute a part of this application, illustrate preferred embodiments of the application and together with the description, serve to explain the principles of the application and not to limit the scope of the application.
After a large proportion of wind power with high permeability is connected into a power grid, the loss of inertia of the wind power will weaken the adjusting capability of the system. Once the wind turbine generator is connected to the grid in a large scale, the wind turbine generator inevitably has a coupling effect with the dynamic characteristics of other synchronous machines, and even the power angle characteristics between the synchronous machines can be deteriorated, so that the safe and stable operation of a power grid is seriously threatened. Although the introduction of the virtual inertia can improve the inertia and frequency characteristics of the system to a certain extent, the virtual inertia control plays an important role in maintaining the steady state of the fan.
In an actual scene, the relationship between virtual inertia control and a phase-locked loop is shown in fig. 1 and 2, and a virtual inertia control circuit receives a steering angle and an oscillation frequency output by a phase-locked loop circuit and controls the circuit according to the steering angle and the oscillation frequency. Therefore, in the double-fed wind power grid-connected system, the phase-locked loop and the virtual inertia control are key links of the system steady state. A stable domain is constructed according to the two links, and the actual requirements can be well met.
Based on this, the embodiment of the present application provides a method for determining stability of a doubly-fed wind power grid-connected system based on dynamic energy, as shown in fig. 3, including the following steps:
step 1, when a double-fed wind power grid-connected system stably runs, determining the variable quantity of line transmission power of a fan, the variable quantity of deviation power caused by incomplete tracking of a phase-locked loop and the variable quantity of virtual inertia compensation power.
In the embodiment of the application, in actual operation, a worker can set an oscillation frequency for the doubly-fed wind power grid-connected system, and the frequency enables the system to operate stably. And determining the variation of the line transmission power of the fan, the variation of the deviation power caused by incomplete tracking of the phase-locked loop and the variation of the virtual inertia compensation power so as to obtain a stable domain of the system.
Specifically, acquiring a voltage amplitude and a current amplitude of an outlet of the fan, an amplitude and a phase angle of a voltage of a PCC (point of charge coupled device) corresponding to the fan and a reactance of a fan transmission line;
respectively determining the variation of line transmission power and the variation of deviation power of the fan according to the voltage amplitude of the outlet, the current amplitude of the outlet, the amplitude of the voltage of the PCC point, the phase angle of the voltage of the PCC point and the following formulas 1 and 2
Equation 1 is:
Figure BDA0003449661830000091
equation 2 is:
Figure BDA0003449661830000093
wherein i represents the fan serial number, Δ PLiVariable quantity, delta P, representing line transmission power of ith fanEiCharacterize the variation of the i-th station offset power, Usi.0Initial value of voltage amplitude, I, representing outlet of ith fansi.0Initial value of current amplitude, U, representing outlet of ith fanPCC.0An initial value of amplitude, Δ θ, characterizing the voltage at the PCC pointPCCA variation, X, of a phase angle characterizing the voltage of the PCC pointLiFor the ith fan to send out line reactance, Δ θsiThe variation of the phase angle of the voltage representing the outlet of the ith fan, Delta thetaplliCharacterizing the amount of change, θ, in the phase angle of the phase-locked loop of the ith fansi.0Characterizing the initial phase angle of the outlet voltage, θ, of the ith fanplli.0Characterizing the initial phase angle, θ, of the phase-locked loop of the ith fanPCC.0The initial phase angle of the voltage of the PCC point is characterized,
Figure BDA0003449661830000092
characterizing the initial value of the power factor, KLiCharacterize the ith blower Δ PLiA corresponding constant.
Specifically, determining a virtual inertia differential gain coefficient of the fan and the frequency of a phase-locked loop;
and determining the variation of the virtual inertia compensation power through a formula 3 according to the virtual inertia differential gain coefficient and the frequency of the phase-locked loop. Equation 3 is:
Figure BDA0003449661830000101
wherein i represents the fan serial number, Δ PviRepresenting the variation of the virtual inertia compensation power of the ith fan, delta f measThe frequency variation of the phase-locked loop of the ith fan is represented,
Figure BDA0003449661830000102
second order differential, K, characterizing the phase angle variation of the phase locked loop of the ith fanviAnd characterizing the virtual inertia differential gain coefficient of the ith fan.
It should be noted that the doubly-fed wind power grid-connected system generally includes a plurality of wind turbines, and therefore the equations 1 to 3 calculate the variation of the line transmission power of a single wind turbine, the variation of the deviation power caused by incomplete tracking of the phase-locked loop, and the variation of the virtual inertia compensation power.
And 2, determining the dynamic energy of the fan in the low-frequency oscillation state according to the variable quantity of the transmission power of the line, the variable quantity of the deviation power caused by incomplete tracking of the phase-locked loop and the variable quantity of the virtual inertia compensation power.
In the embodiment of the application, the dynamic energy of the fan is defined as formula 4-1:
ΔWDFIGi＝∫ΔPDFIGidΔθplli
wherein, Δ WDFIGiCharacterisation of the i-th typhoon machine dynamic energy, Δ PDFIGiCharacterizing the variation, Delta theta, of the output power at the i-th wind turbine endplliAnd representing the variation of the phase angle of the phase-locked loop of the ith fan.
ΔPDFIGiIs DeltaPLi、ΔPEiAnd Δ PviAnd, thus, equation 4-2:
ΔWDFIGi＝∫ΔPLidΔθplli+∫ΔPEidΔθplli+∫ΔPvidΔθplli；
the sum of the dynamic energies of all fans in the low-frequency oscillation state can be obtained by combining equations 1 to 4, as shown in equation 5:
Figure BDA0003449661830000111
wherein, W fCharacterization of dynamic energy of all fansAnd, i represents the fan serial number, Usi.0Initial value of voltage amplitude, I, representing outlet of ith fansi.0Characterizing an initial value of the current amplitude, θ, at the outlet of the ith fansi.0Characterizing the initial phase angle of the outlet voltage, θ, of the ith fanplli.0Characterizing the initial phase angle of the phase-locked loop of the ith fan,
Figure BDA0003449661830000112
characterizing the PCC point oscillation phase angle, KLiCharacterize the ith blower Δ PLiCorresponding constant, ai、bi、ci、diA constant corresponding to the ith fan is represented, t represents oscillation time, omega represents oscillation frequency,
Figure BDA0003449661830000113
characterizing the initial value of the power factor, WfCharacterizing the dynamic energy, theta, of the fanUFor characterizing the amplitude of the oscillating phase angle, K, of the PCC pointviAnd characterizing the virtual inertia differential gain coefficient of the ith fan. Wherein, ai、bi、ci、diIs a constant determined by the system oscillation disturbance quantity, the virtual inertia proportional parameter and the phase-locked loop parameter.
Specifically, in the low frequency oscillation state:
Δθplli＝cicosωt+disinωt
Δθsi＝aicosωt+bisinωt。
and 3, determining the variation of the active power and the variation of the power angle of the synchronous machine when the double-fed wind power grid-connected system stably operates.
It should be noted that, in the embodiment of the present application, the step 1 and the step 3 are separated only for the convenience of separately describing the determination process of the dynamic energy of the synchronous machine and the fan. In actual operation, step 1 and step 3 are not sequential, and can even be executed simultaneously. Step 2 and step 4 are not sequential, and can be executed at the same time.
In the embodiment of the application, in actual operation, a worker can set an oscillation frequency for the double-fed wind power grid-connected system, the frequency enables the system to operate stably, and the variation of the active power and the variation of the power angle of the synchronous machine are determined at the moment, so that the stable domain of the system can be obtained conveniently.
The active power variation and the power angle variation of the synchronous machine can be obtained through a PLC arranged on the synchronous machine.
And 4, determining the dynamic energy of the synchronous machine in the low-frequency oscillation state according to the variable quantity of the active power and the variable quantity of the power angle.
In the embodiment of the present application, the definition formula of the dynamic energy of the synchronous machine is formula 6:
ΔWGj＝∫ΔQGjdΔlnUj+∫ΔPGjdΔδj
wherein, Δ WGjCharacterizing the dynamic energy, Δ P, of the jth synchronous machineGjAnd Δ QGjRespectively representing active power and reactive power output by a jth synchronous machine generator, UjAnd deltajRespectively representing the voltage amplitude and the power angle variation of a jth synchronous machine bus.
Under the time scale of electromechanical transient, the dynamic response of the reactive power of the generator set to the state variable is approximately zero, so that the dynamic characteristic equation of the jth synchronous machine in the system is formula 7:
Figure BDA0003449661830000121
wherein M isjFor characterizing the inertia time constant, D, of the jth synchronous machine jDamping coefficient, Δ ω, for characterizing the jth stage synchronizationjCharacterizing the variation, Δ P, of the synchronous oscillation frequency of the jth stationmjAnd representing the input power variation of the jth synchronous machine.
When the system is disturbed, the input power of the synchronous machine can be changed by delta PmjConsidering 0, the dynamic energy of the jth synchronous machine is therefore equation 8:
Figure BDA0003449661830000122
wherein M isjFor characterizing the inertia time constant of the jth synchronous machine, ej、fjFor characterizing the corresponding constant, D, of the jth synchronizerjDamping coefficient, ω, for characterizing the jth stage synchronizationjAnd characterizing the synchronous oscillation frequency of the jth station. e.g. of the typei，fiAll are constants determined by the system oscillation disturbance quantity, the virtual inertia proportion parameter and the phase-locked loop parameter. Specifically, in the low frequency oscillation state:
Δδj＝ejcosωt+fjsinωt
and 5, determining a stable region of the doubly-fed wind power grid-connected system according to the dynamic energy of the fan in the low-frequency oscillation state and the dynamic energy of the synchronous machine in the low-frequency oscillation state in the same time period.
In the embodiment of the present application, the energy stability region is established on the node active injection space, as shown in fig. 4:
Figure BDA0003449661830000131
in the formula, s represents a network topology, k represents the number of nodes of the wind power grid-connected system, p represents a power injection vector of the nodes of the wind power grid-connected system, and is an operation parameter space of the wind power grid-connected system, o 2kRepresenting the node power injection vector space, R, satisfying a power constraint range2kRepresenting a real space of 2k dimensions, EG represents the sum of the energies of all generators.
And by combining the formula 8 and the formula 5, the synchronous machine 1 is taken as a reference machine, the parameter setting of the synchronous machine 1 is reasonable, the capacity is large, the influence of system injection disturbance is avoided, and the emitted energy is constant. If x synchronous machines are arranged in the system and y fans are arranged in the wind field, the system can be defined by a stable region, and the energy stable region boundary of the current operating point is solved as a formula 9:
Figure BDA0003449661830000141
wherein, WSGCharacterization ofDynamic energy of the synchronous machine, WfCharacterizing the dynamic energy of the fan, x characterizing the total number of said synchronous machines, y characterizing the total number of said fan, ω characterizing the oscillation frequency, Usi.0Initial value of voltage amplitude, I, representing outlet of ith fansi.0Initial value of current amplitude, M, characterizing the outlet of the ith fanjFor characterizing the inertia time constant of the jth synchronous machine, ci、diConstant, e, for characterizing the ith fanj、fjFor characterizing the corresponding constant, D, of the jth synchronizerjDamping coefficient, M, for characterizing the jth synchronization1Inertial time constant, D, for characterizing a reference machine1For characterizing the damping coefficient of the reference machine,
Figure BDA0003449661830000142
for characterizing the initial value of the power factor, K LiCharacterize the ith blower Δ PLiCorresponding constant, KpiThe phase-locked loop proportionality coefficient is used for characterizing the ith fan,
Figure BDA0003449661830000143
for characterizing the PCC point oscillation phase angle, thetaUFor characterizing the amplitude of the oscillating phase angle, K, of the PCC pointviCharacterizing the virtual inertia differential gain coefficient, K, of the ith faniiThe method is used for representing the integral coefficient of the phase-locked loop of the ith fan.
From equation 9, the virtual inertia differential gain coefficient KviThe larger the system is, the larger the potential energy of the constant amplitude oscillation after the system is disturbed is, and the higher the boundary is, which indicates that the system stability at each operating point is better. When the phase-locked loop proportionality coefficient KpiAnd increasing, the larger the potential energy of the constant amplitude oscillation after the system is disturbed is, the better the system stability of each operating point is. When the integral coefficient K of the phase-locked loopiiWhen the system is increased, the smaller the potential energy of the constant amplitude oscillation after the system is disturbed is, the worse the system stability of each operation point is. In conclusion, the stability domain provided by the application can reflect the influence of the phase-locked loop and the virtual inertia on the stability of the system. It should be noted that equation 9 applies to low frequency oscillations, where the low frequency ranges from 0.2Hz to 2.5 Hz.
In the embodiment of the present application, in order to intuitively analyze the energy stability of the system, formula 9 is presented by way of an image, as shown in fig. 6a, showing stable domains of G2 and G4 dimensions.
And 6, evaluating the stability of the system in real time by using the stability domain.
Specifically, detecting whether the current oscillation frequency of the double-fed wind power grid-connected system generates low-frequency oscillation or not; when the double-fed wind power grid-connected system generates low-frequency oscillation, acquiring the current system potential energy of the double-fed wind power grid-connected system; determining whether the potential energy of the current system is in a stable domain; and if so, determining that the operation of the double-fed wind power grid-connected system is stable, otherwise, determining that the operation of the double-fed wind power grid-connected system is unstable.
The embodiment of the application provides a system for determining stability of a doubly-fed wind power grid-connected system based on dynamic energy, which comprises: the device comprises a first data determining module, a first data processing module, a second data determining module, a second data processing module and a stable domain generating module;
the double-fed wind power grid-connected system comprises: a fan and a synchronizer;
the first data determining module is used for determining the variation of the line transmission power of the fan, the deviation power variation caused by incomplete tracking of a phase-locked loop and the variation of virtual inertia compensation power when the double-fed wind power grid-connected system stably operates;
the first data processing module is used for determining the dynamic energy of the fan in the low-frequency oscillation state according to the variation of the line transmission power, the variation of the deviation power caused by incomplete tracking of the phase-locked loop and the variation of the virtual inertia compensation power;
The second data determining module is used for determining the active power variation and the power angle variation of the synchronous machine when the doubly-fed wind power grid-connected system stably operates;
the second data processing module is used for determining the dynamic energy of the synchronous machine in the low-frequency oscillation state according to the variable quantity of the active power and the variable quantity of the power angle
The stability domain generation module is used for determining a stability domain of the doubly-fed wind power grid-connected system according to the dynamic energy of the fan in the low-frequency oscillation state and the dynamic energy of the synchronous machine in the low-frequency oscillation state in the same time period, and the stability domain is used for representing the quantity relation among system potential energy, the dynamic energy of the synchronous machine and the dynamic energy of the fan.
In an example of the present application, the system further comprises: a display module;
the display module is used for displaying the mathematical expression of the stable domain of the doubly-fed wind power grid-connected system in a visual mode.
In an example of the present application, the system further comprises: a detection module;
the detection module is used for detecting whether the current oscillation frequency of the doubly-fed wind power grid-connected system generates low-frequency oscillation or not; when the double-fed wind power grid-connected system generates low-frequency oscillation, acquiring the current system potential energy of the double-fed wind power grid-connected system; determining whether the current system potential energy is within the stable domain; and if so, determining that the doubly-fed wind power grid-connected system is stable in operation, otherwise, determining that the doubly-fed wind power grid-connected system is unstable in operation.
To illustrate the feasibility of the above-described scheme of the present application, the following examples are given:
the system structure of the embodiment is as shown in fig. 5, and based on an IEEE 4 machine 11 node system, the dynamic characteristics of a doubly-fed wind power grid-connected system including virtual inertia are verified. Wherein, 1-11 represent 11 nodes of the system, G1, G2, G3 and G4 are synchronous generators, the active power of which is 700MW, G3 is a balancing machine, and DFIG is a fan. The wind power plant is formed by connecting 28 double-fed wind power sets in parallel, the rated capacity of each double-fed wind power set is 5MW, the total active power of the wind power plant is 140MW, and the wind power plant is connected to a bus 6 through an 20/230kV booster transformer and then is merged into the system. The bus bars 7 and 9 are respectively connected with loads L1 and L2, and the total load of the system is 2734 MW. The control parameters of the double-fed wind turbine generator set are as follows: k isp＝1，Ki＝0.1，Kv＝0.2。
The setting scene of the embodiment is as follows: the oscillation in the region with the frequency of 1.4Hz and the oscillation in the region with the frequency of 0.69Hz are set.
The operation data acquisition module is used for acquiring voltage and current information of each state variable of the system and transmitting the voltage and current information to the data processing module.
The operation data acquisition module is used for acquiring voltage and current information of each state variable of each operation point system in the bottom surface of the small disturbance stable domain and transmitting the voltage and current information to the data processing module;
The operation data processing module extracts low-frequency oscillation components of voltage and current of each state variable in the data acquisition module and transmits the low-frequency oscillation components to the system potential energy calculation module;
the operating system potential energy calculating module receives the data transmitted by the data acquisition module, calculates disturbance energy born by the grid-connected synchronous machine and the doubly-fed wind field when disturbed, and transmits the disturbance energy to the system stability judging module;
and the operation system stability judging module receives disturbance energy borne by the doubly-fed wind field grid-connected system when the system is disturbed and transmitted by the potential energy calculating module, and judges the stability of the system after low-frequency oscillation caused by disturbance through an energy stability domain interface. By generators G2And G4The generated active power is two dimensions of an injection power space, and an energy stability region and a boundary of the wind power grid-connected system are drawn under two different oscillation modes respectively as shown in fig. 6a and 6 b.
As shown in fig. 6a, the system is disturbed to produce low frequency oscillations in the region of f-1.4 Hz. In the case of constant amplitude oscillation of the system, the potential energy (point B) is located on the boundary surface of the stable region. In the case of convergence of oscillation, the potential energy is low (point a), and is within the boundaries of the stable domain. In the case of divergent oscillations, the potential energy is higher (point C) outside the stable region. The running state of the A, B and C points in the system oscillation process can utilize a grid-connected synchronous machine G 1The power angle curve during oscillation is depicted as shown in fig. 6 c. Similarly, as shown in fig. 6b, the system is disturbed to generate low frequency oscillation in the interval of f 0.69 Hz. Under the condition of constant amplitude oscillation of the system, the potential energy point E is positioned on the boundary of the stable region. Under the condition of oscillation convergence, the potential energy point is the point D and is within the stable region. In the oscillation divergence case, the potential energy point F is located outside the stable region. The operation state of the D, E and F points in the system oscillation process can utilize a grid-connected synchronous machine G1In the process of oscillationThe power angle curve in the process is depicted as shown in fig. 6 d.
The correctness of the system and the method for judging the stability of the system after the system is disturbed by establishing the energy stability domain of the double-fed wind field grid-connected system is verified. In this embodiment, the influence of the variation of the verification parameter on the energy stability domain includes the following three scenarios: make fan phase-locked loop proportionality coefficient K in field p1 and KpAnd (5) constructing a dynamic energy stability domain corresponding to different oscillation modes of the system. Scene two: phase-locked loop parameter K of fan in wind fieldi0.1 and KiAnd (5) establishing energy stability regions corresponding to different oscillation modes of the system, namely 0.4. Scene three: k for respectively controlling fans in wind fieldv0.2 and KvAnd (4) establishing energy stability regions corresponding to different oscillation modes of the system.
1) Scene one: with phase locked loop K, as shown in FIGS. 7a and 7bpAnd the parameters are increased, the energy stability domain boundaries corresponding to the oscillation modes in the double-fed wind power grid-connected system region and the interval are integrally lifted, and the disturbance bearing capacity of the system is enhanced. And with the phase-locked loop proportionality coefficient KpiAnd the increase of the critical potential energy corresponding to the interval oscillation mode is more obvious than that of the oscillation mode in the region.
2) Scene two: as shown in fig. 8a and 8b, with phase locked loop KiThe parameters are increased, the boundary of the interval oscillation mode energy stability domain of the doubly-fed wind power grid-connected system is wholly sunk, and the system capability of bearing disturbance injection energy is weakened. And with the integral coefficient K of the phase-locked loopiiAnd the reduction of the critical potential energy corresponding to the oscillation mode in the region is more obvious than that of the oscillation mode in the region.
3) Scene three: as shown in fig. 9a and 9b, with the virtual inertia control KvThe parameters are increased, the energy stability domain boundary corresponding to the oscillation mode in the double-fed wind power grid-connected system area and the interval is integrally lifted, and the system capacity of bearing disturbance injection energy is enhanced.
The above description is only for the preferred embodiment of the present application, but the scope of the present application is not limited thereto, and any changes or substitutions that can be easily conceived by those skilled in the art within the technical scope of the present application should be covered within the scope of the present application.

Claims (10)

1. A method for determining the operation stability of a double-fed wind power grid-connected system based on dynamic energy is characterized in that the double-fed wind power grid-connected system comprises a fan and a synchronous machine; the method comprises the following steps:
when the doubly-fed wind power grid-connected system stably operates, determining the variable quantity of line transmission power of the fan, the variable quantity of deviation power and the variable quantity of virtual inertia compensation power caused by incomplete tracking of a phase-locked loop, and determining the variable quantity of active power and the variable quantity of a power angle of the synchronous machine;
determining the dynamic energy of the fan in the low-frequency oscillation state according to the variation of the line transmission power, the variation of the deviation power caused by incomplete tracking of the phase-locked loop and the variation of the virtual inertia compensation power;
determining the dynamic energy of the synchronous machine in a low-frequency oscillation state according to the variable quantity of the active power and the variable quantity of the power angle;
and determining a stable domain of the doubly-fed wind power grid-connected system according to the dynamic energy of the fan in the low-frequency oscillation state and the dynamic energy of the synchronous machine in the low-frequency oscillation state in the same time period, and judging the operation stability of the doubly-fed wind power grid-connected system based on the stable domain.
2. The method of claim 1,
determining the variation of the line transmission power of the fan and the variation of the deviation power caused by incomplete tracking of the phase-locked loop, wherein the method comprises the following steps of:
collecting the voltage amplitude and the current amplitude of the outlet of the fan, the amplitude and the phase angle of the voltage of the PCC point corresponding to the fan and the reactance of the fan transmission line;
determining the variation of the line transmission power of the fan and the variation of the deviation power according to the voltage amplitude of the outlet, the current amplitude of the outlet, the amplitude of the voltage at the PCC point, the phase angle of the voltage at the PCC point and the following formula:
Figure FDA0003449661820000021
wherein i represents the fan serial number, Δ PLiVariable quantity, delta P, representing line transmission power of ith fanEiRepresenting the variation of the deviation power and U of the ith fansi.0Initial value of voltage amplitude, I, representing outlet of ith fansi.0Initial value of current amplitude, U, representing outlet of ith fanPCC.0An initial value of amplitude, Δ θ, characterizing the voltage at the PCC pointPCCA variation, X, of a phase angle characterizing the voltage of the PCC pointLiFor the ith fan to send out line reactance, Δ θsiThe variation of the phase angle of the voltage representing the outlet of the ith fan, Delta thetaplliCharacterizing the amount of change, θ, in the phase angle of the phase-locked loop of the ith fan si.0Initial phase angle theta of outlet voltage of the ith fanplli.0Initial phase angle theta of phase-locked loop for characterizing ith fanPCC.0The initial phase angle of the voltage at the PCC point is characterized,
Figure FDA0003449661820000024
characterizing the initial value of the power factor, KLiCharacterize ith Fan Δ PLiA corresponding constant.
3. The method of claim 1,
determining a change amount of the virtual inertia compensation power, including:
determining a virtual inertia differential gain coefficient of the fan and the frequency of a phase-locked loop;
determining the variation of the virtual inertia compensation power according to the virtual inertia differential gain coefficient and the frequency of the phase-locked loop by the following formula,
Figure FDA0003449661820000022
wherein i represents the fan serial number, Δ PviRepresenting the variation of the virtual inertia compensation power of the ith fan, delta fmeasThe frequency variation of the phase-locked loop of the ith fan is represented,
Figure FDA0003449661820000023
second order differential, K, characterizing the phase angle variation of the phase locked loop of the ith fanviAnd characterizing the virtual inertia differential gain coefficient of the ith fan.
4. The method of claim 1,
the determining the dynamic energy of the fan in the low-frequency oscillation state according to the variation of the line transmission power, the variation of the deviation power caused by incomplete tracking of the phase-locked loop and the variation of the virtual inertia compensation power includes:
Determining the dynamic energy of each fan in the doubly-fed wind power grid-connected system in a low-frequency oscillation state by using the following formula:
ΔWDFIGi＝∫ΔPLidΔθplli+∫ΔPEidΔθplli+∫ΔPvidΔθplli；
wherein, Δ WDFIGiCharacterisation of the i-th wind turbine dynamic energy, Δ PLiThe variation, delta P, of the line transmission power of the ith fan is representedEiCharacterizing the variation of the power of the i-th station deviation, Δ PviAnd representing the variation of the virtual inertia compensation power of the ith fan.
5. The method according to claims 1 to 4,
the determining the stable region of the doubly-fed wind power grid-connected system according to the dynamic energy of the fan and the dynamic energy of the synchronous machine in the low-frequency oscillation state in the same time period comprises the following steps:
determining a stable domain boundary using the following equation:
Figure FDA0003449661820000031
wherein, WSGCharacterizing the dynamic energy of the synchronous machine, WfCharacterizing the dynamic energy of the fan, x characterizing the total number of said synchronous machines, y characterizing the total number of said fan, ω characterizing the oscillation frequency, Usi.0Initial value of voltage amplitude, I, representing outlet of ith fansi.0Initial value of current amplitude, M, characterizing the outlet of the ith fanjFor characterizing the inertia time constant of the jth synchronous machine, ci、diConstant, e, for characterizing the ith fanj、fjFor characterizing the corresponding constant, D, of the jth synchronizer jDamping coefficient, M, for characterizing the jth station synchronization1Inertial time constant, D, for characterizing a reference machine1For characterizing the damping coefficient of the reference machine,
Figure FDA0003449661820000041
for characterizing the initial value of the power factor, KLiCharacterize the ith blower Δ PLiCorresponding constant, KpiThe phase-locked loop proportionality coefficient is used for characterizing the ith fan,
Figure FDA0003449661820000042
for characterizing the PCC point oscillation phase angle, thetaUFor characterizing the amplitude of the oscillating phase angle, K, of the PCC pointviCharacterizing the virtual inertia differential gain coefficient, K, of the ith faniiThe method is used for representing the integral coefficient of the phase-locked loop of the ith fan.
6. The method of claim 5,
and displaying a mathematical expression of a stable domain of the doubly-fed wind power grid-connected system in an image mode.
7. The method of claim 1, further comprising;
detecting whether the current oscillation frequency of the doubly-fed wind power grid-connected system generates low-frequency oscillation or not;
when the double-fed wind power grid-connected system generates low-frequency oscillation, acquiring the current system potential energy of the double-fed wind power grid-connected system;
determining whether the current system potential energy is within the stable domain;
and if so, determining that the doubly-fed wind power grid-connected system is stable in operation, otherwise, determining that the doubly-fed wind power grid-connected system is unstable in operation.
8. The utility model provides a system for confirming doubly-fed wind-powered electricity generation grid-connected system stability based on dynamic energy which characterized in that includes: the device comprises a first data determining module, a first data processing module, a second data determining module, a second data processing module and a stable domain generating module;
the double-fed wind power grid-connected system comprises: a fan and a synchronizer;
the first data determining module is used for determining the variation of the line transmission power of the fan, the deviation power variation caused by incomplete tracking of a phase-locked loop and the variation of virtual inertia compensation power when the double-fed wind power grid-connected system stably operates;
the first data processing module is used for determining the dynamic energy of the fan in the low-frequency oscillation state according to the variation of the line transmission power, the variation of the deviation power caused by incomplete tracking of the phase-locked loop and the variation of the virtual inertia compensation power;
the second data determining module is used for determining the active power variation and the power angle variation of the synchronous machine when the doubly-fed wind power grid-connected system stably operates;
the second data processing module is used for determining the dynamic energy of the synchronous machine in the low-frequency oscillation state according to the variable quantity of the active power and the variable quantity of the power angle
The stable domain generating module is used for determining a stable domain of the doubly-fed wind power grid-connected system according to the dynamic energy of the fan in the low-frequency oscillation state and the dynamic energy of the synchronous machine in the low-frequency oscillation state in the same time period, and the stable domain is used for representing the quantity relation among system potential energy, the dynamic energy of the synchronous machine and the dynamic energy of the fan.
9. The system of claim 8,
the system further comprises: a display module;
the display module is used for displaying a mathematical expression of a stable domain of the doubly-fed wind power grid-connected system in a visual mode.
10. The system of claim 8,
the system further comprises: a detection module;
the detection module is used for detecting whether the current oscillation frequency of the doubly-fed wind power grid-connected system generates low-frequency oscillation or not; when the double-fed wind power grid-connected system generates low-frequency oscillation, acquiring the current system potential energy of the double-fed wind power grid-connected system; determining whether the current system potential energy is within the stable domain; and if so, determining that the doubly-fed wind power grid-connected system is stable in operation, otherwise, determining that the doubly-fed wind power grid-connected system is unstable in operation.
CN202111671502.3A 2021-12-31 2021-12-31 Method and system for determining stability of double-fed wind power grid-connected system based on dynamic energy Pending CN114759618A (en)

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CN117200260A (en) * 2023-11-07 2023-12-08 国网江西省电力有限公司电力科学研究院 Method and system for inhibiting low-frequency oscillation of power system
CN117200350A (en) * 2023-09-11 2023-12-08 国网江苏省电力有限公司电力科学研究院 Damping contribution stability evaluation method and device for multi-fan grid-connected power generation system

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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN117200350A (en) * 2023-09-11 2023-12-08 国网江苏省电力有限公司电力科学研究院 Damping contribution stability evaluation method and device for multi-fan grid-connected power generation system
CN117200350B (en) * 2023-09-11 2024-03-26 国网江苏省电力有限公司电力科学研究院 Damping contribution stability evaluation method and device for multi-fan grid-connected power generation system
CN117200260A (en) * 2023-11-07 2023-12-08 国网江西省电力有限公司电力科学研究院 Method and system for inhibiting low-frequency oscillation of power system
CN117200260B (en) * 2023-11-07 2024-03-12 国网江西省电力有限公司电力科学研究院 Method and system for inhibiting low-frequency oscillation of power system

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