CN114759575A - Virtual synchronous double-fed fan subsynchronous oscillation suppression method and system - Google Patents

Virtual synchronous double-fed fan subsynchronous oscillation suppression method and system Download PDF

Info

Publication number
CN114759575A
CN114759575A CN202110989148.2A CN202110989148A CN114759575A CN 114759575 A CN114759575 A CN 114759575A CN 202110989148 A CN202110989148 A CN 202110989148A CN 114759575 A CN114759575 A CN 114759575A
Authority
CN
China
Prior art keywords
energy
virtual synchronous
branch
energy dissipation
additional energy
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Pending
Application number
CN202110989148.2A
Other languages
Chinese (zh)
Inventor
马静
杨真缪
杜汪洋
周宜晴
黄韦博
邵鸿飞
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
North China Electric Power University
Original Assignee
North China Electric Power University
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by North China Electric Power University filed Critical North China Electric Power University
Priority to CN202110989148.2A priority Critical patent/CN114759575A/en
Publication of CN114759575A publication Critical patent/CN114759575A/en
Pending legal-status Critical Current

Links

Images

Classifications

    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
    • H02J3/24Arrangements for preventing or reducing oscillations of power in networks
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
    • H02J3/38Arrangements for parallely feeding a single network by two or more generators, converters or transformers
    • H02J3/381Dispersed generators
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2203/00Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
    • H02J2203/20Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2300/00Systems for supplying or distributing electric power characterised by decentralized, dispersed, or local generation
    • H02J2300/20The dispersed energy generation being of renewable origin
    • H02J2300/28The renewable source being wind energy

Landscapes

  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Control Of Eletrric Generators (AREA)

Abstract

The invention relates to a subsynchronous oscillation suppression method and a subsynchronous oscillation suppression system for a virtual synchronous double-fed fan, belongs to the technical field of wind power generation, and solves the problem that the subsynchronous oscillation suppression method in the prior art cannot solve subsynchronous oscillation in the virtual synchronous double-fed fan. The method comprises the following steps: collecting operation data of the virtual synchronous double-fed fan; based on the operation data, obtaining the energy dissipation rate of the virtual synchronous double-fed fan before the additional energy branch is added and the energy dissipation rate variation after the additional energy branch is added, and further obtaining the total energy dissipation rate of the virtual synchronous double-fed fan; and establishing a control parameter optimization model by taking the energy dissipation rate variable quantity after the additional energy branches are added as a target function constraint condition that the energy dissipation rate variable quantity is less than 0 and the total energy dissipation rate takes the minimum value, determining the control parameters of each additional energy branch, starting each additional energy branch after the parameters are determined, and realizing subsynchronous oscillation suppression of the virtual synchronous double-fed fan.

Description

Virtual synchronous double-fed fan subsynchronous oscillation suppression method and system
Technical Field
The invention relates to the technical field of wind power generation, in particular to a virtual synchronous double-fed fan subsynchronous oscillation suppression method and system.
Background
With the continuous improvement of the proportion of high-permeability wind power connected to a power grid, the adjusting capability of a power system is weakened due to the characteristic of weak inertia of a wind turbine generator, and the problem of stable and safe operation of the system is challenged. Due to the introduction of the virtual synchronous control technology, the fan has inertia and frequency response characteristics similar to those of a synchronous generator, the defect of weak inertia of the fan is improved to a certain extent, and the virtual synchronous control technology is a key technology for grid connection of the fan in the future.
The position of the double-fed wind power plant is mostly far away from a load center, electric energy is generally required to be transmitted to the load center through a long-distance power transmission line, and compensation capacitors are often connected in series in the power transmission line for improving the transmission efficiency of the electric energy, so that a sub-synchronous oscillation phenomenon easily occurs to a grid-connected system of the double-fed wind power plant, the stability of an electric power system is seriously threatened, and meanwhile, the safe operation of a double-fed wind power unit connected into the electric power system can also be influenced. At present, a great deal of research is carried out on the problem of subsynchronous oscillation of a doubly-fed fan grid-connected system in a traditional control mode, and subsynchronous oscillation is suppressed mainly through modes of adding damping control, adding a filtering device, changing electrical parameters and the like.
However, because the conventional doubly-fed wind turbine and the virtual synchronous doubly-fed wind turbine have different structures, the subsynchronous oscillation suppression method of the conventional doubly-fed wind turbine is not applicable to the virtual synchronous doubly-fed wind turbine, and currently, a corresponding research is still lacking for the subsynchronous oscillation suppression method of the virtual synchronous doubly-fed wind turbine.
Disclosure of Invention
In view of the foregoing analysis, embodiments of the present invention provide a method and a system for suppressing sub-synchronous oscillation of a virtual synchronous doubly-fed wind turbine, so as to solve the problem that the existing sub-synchronous oscillation suppression method cannot solve the sub-synchronous oscillation in the virtual synchronous doubly-fed wind turbine.
On one hand, the embodiment of the invention provides a virtual synchronous double-fed fan subsynchronous oscillation suppression method, which comprises the following steps:
collecting operation data of the virtual synchronous double-fed fan;
based on the operation data, obtaining the energy dissipation rate of the virtual synchronous double-fed fan before adding the additional energy branch and the energy dissipation rate variation after adding the additional energy branch, and further obtaining the total energy dissipation rate of the virtual synchronous double-fed fan;
and establishing a control parameter optimization model by taking the energy dissipation rate variable quantity after the additional energy branches are added as a target function constraint condition that the energy dissipation rate variable quantity is less than 0 and the total energy dissipation rate takes the minimum value, determining the control parameters of each additional energy branch, starting each additional energy branch after the parameters are determined, and realizing subsynchronous oscillation suppression of the virtual synchronous double-fed fan.
Further, the operation data of the virtual synchronous double-fed wind turbine comprises: the method comprises the steps of rotor current and voltage, inductance of a rotor and a stator, mutual inductance between the stator and the rotor, a stator voltage amplitude instruction value, deviation amount of subsynchronous angular velocity and synchronous angular velocity, a reference value of a named value of angular velocity, slip angular velocity of a doubly-fed fan, amplitude of disturbance current, total resistance of a transmission line, a direct current voltage steady-state value and active power.
Further, the added additional energy branch comprises:
additional energy branch 1: rotor current is introduced into the virtual synchronous control of the rotor, and after low-pass filtering, the rotor current is subjected to virtual resistance gain Kc1Outputting to a rotor voltage;
additional energy branch 2: active power is introduced into the virtual synchronous control of the rotor, and after high-pass filtering, the active power passes through an integral coefficient Kc2And outputting the phase angle to the virtual synchronous phase angle.
Further, the total energy dissipation ratio a 'of the virtual synchronous double-fed fan'EnergyExpressed as:
a′Energy=aEnergy+ΔaEnergy
in the formula, aEnergyIncreasing the energy dissipation ratio delta a before additional energy branch for the virtual synchronous double-fed fanEnergyAdding additional energy to virtual synchronous double-fed fanMeasuring the energy dissipation rate variation after the branch.
Further, the energy dissipation ratio of the virtual synchronous doubly-fed wind turbine before adding the additional energy branch is expressed as:
Figure BDA0003231709640000031
wherein the content of the first and second substances,
Figure BDA0003231709640000032
Figure BDA0003231709640000041
in the formula ird0、irq0Is a steady-state value of the current amplitude of the d-axis and the q-axis of the rotor, urd0、urq0Is a steady state value of d-axis and q-axis voltage amplitudes of the rotor, LrIs the rotor inductance, LsIs a stator inductance, LmIs a mutual inductance, U, between stator and rotorsIs a stator voltage amplitude command value, Ur0A steady state value expressed as a rotor voltage amplitude command value, Δ ω is a deviation amount of the subsynchronous angular velocity from the synchronous angular velocity, ωbIs a reference value, omega, of a nominal value of angular velocityslipIs the slip angular velocity of the doubly-fed fan, D is the virtual damping coefficient, TjIn order to be a virtual inertia time constant,
Figure BDA0003231709640000042
respectively PI control parameter, R of the reactive power control loopvIs a virtual resistance, IdisFor the amplitude of the disturbance current, RgIs the total resistance of the transmission line.
Further, the energy dissipation rate variation delta a of the virtual synchronous double-fed fan after the additional energy branch is addedEnergyExpressed as:
Figure BDA0003231709640000043
in the formula,. DELTA.aEnergy_iThe method comprises the steps that the i-th type of energy dissipation rate variable quantity is introduced after an additional energy branch is added to the virtual synchronous double-fed fan, and n represents the total type number of the introduced energy dissipation rate variable quantity.
Further, the total number of categories n of the introduced energy dissipation ratio variation is 6; the various types of energy dissipation rate variations are expressed as follows:
virtual resistance and energy dissipation ratio variation Δ a on stator sideEnergy_1Comprises the following steps:
Figure BDA0003231709640000044
virtual resistance and energy dissipation rate variation delta a of active powerEnergy_2Comprises the following steps:
Figure BDA0003231709640000045
active power energy dissipation ratio variation Δ aEnergy_3Comprises the following steps:
Figure BDA0003231709640000051
active power and stator side energy dissipation ratio variation Δ aEnergy_4Comprises the following steps:
Figure BDA0003231709640000052
reactive power and energy dissipation ratio variation Δ a on the stator sideEnergy_5Comprises the following steps:
Figure BDA0003231709640000053
energy dissipation ratio of reactive power and active powerVariation Δ aEnergy_6Comprises the following steps:
Figure BDA0003231709640000054
in the formula, Kc1For the virtual resistance gain of the additional energy branch 1, as a control parameter for the additional energy branch 1, Kc2The integral coefficient of the additional energy branch 2 is used as a control parameter of the additional energy branch 2.
Further, the control parameter optimization model is represented as:
Figure BDA0003231709640000055
in the formula of Ud0Is the steady-state value of the DC voltage of the virtual synchronous double-fed fan, Urmin、UrmaxThe upper limit and the lower limit of the steady state value of the rotor voltage during the steady state operation of the system, Udmin、UdmaxThe upper limit and the lower limit, omega, of the steady-state value of the direct-current voltage during the steady-state operation of the systemdisFor sub-synchronous disturbance of angular velocity, Kmin、KmaxTo control a parameter Kc1And Kc2Upper and lower limits of the value of (1).
Further, the subsynchronous oscillation suppression method further comprises the step of optimizing a function based on the control parameter optimization model and a bacterial population chemotaxis algorithm to obtain the optimal control parameter of the additional energy branch.
On the other hand, an embodiment of the present invention provides a virtual synchronous doubly-fed wind turbine subsynchronous oscillation suppression system, which is characterized by including:
the data acquisition module is used for acquiring the operation data of the virtual synchronous double-fed fan;
the total energy dissipation rate calculation module is used for obtaining the energy dissipation rate of the virtual synchronous double-fed fan before the additional energy branch is added and the energy dissipation rate variable quantity after the additional energy branch is added based on the operation data, and further obtaining the total energy dissipation rate of the virtual synchronous double-fed fan;
and the subsynchronous oscillation suppression processing module is used for establishing a control parameter optimization model by taking the energy dissipation rate variable quantity after the additional energy branches are added as less than 0 and the total energy dissipation rate of the virtual synchronous double-fed fan taking the minimum value as a target function constraint condition, determining the control parameters of each additional energy branch, and starting each additional energy branch after the parameters are determined, so as to realize subsynchronous oscillation suppression of the virtual synchronous double-fed fan.
Compared with the prior art, the invention has the following beneficial effects:
according to the virtual synchronous double-fed fan subsynchronous oscillation suppression method and system, two additional energy branches are added on the basis of the original virtual synchronous double-fed fan structure, the energy dissipation rate of the virtual synchronous double-fed fan before the additional energy branches are added and the energy dissipation rate variation after the additional energy branches are added are obtained by collecting the operation data of the virtual synchronous double-fed fan, the total energy dissipation rate of the virtual synchronous double-fed fan is further obtained, the control parameters of each additional energy branch are determined, and subsynchronous oscillation suppression of the virtual synchronous double-fed fan is realized.
In the invention, the technical schemes can be combined with each other to realize more preferable combination schemes. Additional features and advantages of the invention will be set forth in the description which follows, and in part will be obvious from the description, or may be learned by practice of the invention. The objectives and other advantages of the invention will 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 invention, wherein like reference numerals are used to designate like parts throughout.
Fig. 1 is a schematic flow chart of a virtual synchronous doubly-fed wind turbine subsynchronous oscillation suppression method in embodiment 1 of the present invention;
fig. 2 is a schematic diagram of a network structure of a doubly-fed wind farm grid connection according to embodiment 1 of the present invention;
FIG. 3 is a schematic diagram of dynamic energy classification according to embodiment 1 of the present invention;
fig. 4 is a schematic diagram of a virtual synchronization control strategy for adding an additional energy branch according to embodiment 1 of the present invention;
FIG. 5 is a schematic diagram of a BCC algorithm-based control parameter optimization process in embodiment 1 of the present invention;
FIG. 6 is a graph showing the energy dissipation ratio of the dynamic energy of each control branch according to embodiment 3 of the present invention;
fig. 7 shows the active power of the virtual synchronous doubly-fed wind turbine in embodiment 3 of the present invention;
fig. 8 shows the instantaneous d-axis voltage at the rotor side according to embodiment 3 of the present invention;
fig. 9(a) shows the FFT analysis result before the additional energy branch is enabled in embodiment 3 of the present invention;
fig. 9(b) is the FFT analysis result after the additional energy branch is enabled according to embodiment 3 of the present invention;
fig. 10(a) shows the active power of the virtual synchronous doubly-fed wind turbine in embodiment 3 when the additional branch 2 is added and the series compensation degree is 20%;
fig. 10(b) shows the active power of the virtual synchronous doubly-fed wind turbine in embodiment 3 when the additional branch 2 is added and the series compensation degree is 40%;
FIG. 11 is a graph showing the effect of additional energy branch control parameters on the energy dissipation ratio of the system in accordance with embodiment 3 of the present invention;
fig. 12 shows the dynamic energy of the port of the virtual synchronous doubly-fed wind turbine in embodiment 3 of the present invention;
fig. 13 shows the energy dissipation ratio of the virtual synchronous doubly-fed wind turbine in embodiment 3 of the present invention;
fig. 14 shows the active power of the virtual synchronous doubly-fed wind turbine in embodiment 3 of the present invention;
fig. 15 shows instantaneous values of d-axis voltage on the rotor side in embodiment 3 of the present invention.
Detailed Description
The accompanying drawings, which are incorporated in and constitute a part of this application, illustrate preferred embodiments of the invention and together with the description, serve to explain the principles of the invention and not to limit the scope of the invention.
Example 1
The invention discloses a method for suppressing subsynchronous oscillation of a virtual synchronous doubly-fed wind turbine, which comprises the following steps of:
and S1, acquiring the operation data of the virtual synchronous double-fed wind turbine.
In implementation, the operation data of the virtual synchronous doubly-fed wind turbine includes: the method comprises the steps of rotor current and voltage, inductance of a rotor and a stator, mutual inductance between the stator and the rotor, a stator voltage amplitude instruction value, deviation amount of subsynchronous angular velocity and synchronous angular velocity, a reference value of a named value of angular velocity, slip angular velocity of a doubly-fed fan, amplitude of disturbance current, total resistance of a transmission line, a direct current voltage steady-state value and active power.
And S2, based on the operation data, obtaining the energy dissipation rate of the virtual synchronous double-fed fan before the additional energy branch is added and the energy dissipation rate variable quantity after the additional energy branch is added, and further obtaining the total energy dissipation rate of the virtual synchronous double-fed fan.
In practice, the added additional energy branch comprises:
additional energy branch 1: rotor current is introduced into the rotor virtual synchronous control, and after low-pass filtering, the rotor current is subjected to virtual resistance gain Kc1And outputting the voltage to the rotor.
Additional energy branch 2: active power is introduced into the virtual synchronous control of the rotor, and after high-pass filtering, the active power is subjected to an integral coefficient Kc2And outputting the phase angle to the virtual synchronous phase angle.
In implementation, the total energy dissipation ratio a 'of the virtual synchronous doubly-fed wind turbine'EnergyExpressed as:
a′Energy=aEnergy+ΔaEnergy (1)
in the formula, aEnergyIncreasing the energy dissipation ratio delta a before adding an additional energy branch for the virtual synchronous double-fed fanEnergyAnd increasing the energy dissipation rate variable quantity after the additional energy branch is added to the virtual synchronous double-fed fan.
Specifically, the energy dissipation ratio of the virtual synchronous doubly-fed wind turbine before the additional energy branch is added is represented as:
Figure BDA0003231709640000091
wherein the content of the first and second substances,
Figure BDA0003231709640000092
Figure BDA0003231709640000101
in the formula ird0、irq0Is a steady-state value of the current amplitude of the d-axis and the q-axis of the rotor, urd0、urq0Is a steady state value of d-axis and q-axis voltage amplitudes of the rotor, LrIs the rotor inductance, LsIs a stator inductance, LmIs a mutual inductance, U, between stator and rotorsIs a stator voltage amplitude command value, Ur0A steady state value expressed as a rotor voltage amplitude command value, Δ ω is a deviation amount of the subsynchronous angular velocity from the synchronous angular velocity, ωbIs a reference value, omega, of a nominal value of angular velocityslipThe slip angular velocity of the doubly-fed wind turbine is D, the virtual damping coefficient is TjIn order to be a virtual inertia time constant,
Figure BDA0003231709640000102
respectively PI control parameter, R of the reactive power control loopvIs a virtual resistance, IdisTo the amplitude of the disturbance current, RgIs the total resistance of the transmission line.
Specifically, the energy dissipation rate variation Δ a of the virtual synchronous doubly-fed wind turbine after the additional energy branch is addedEnergyExpressed as:
Figure BDA0003231709640000103
in the formula,. DELTA.aEnergy_iThe method comprises the steps that the ith type of energy dissipation rate variable quantity is introduced after an additional energy branch is added to the virtual synchronous double-fed fan, and n represents the total type number of the introduced energy dissipation rate variable quantity.
More specifically, the total number of categories n of the introduced energy dissipation ratio variation is 6; the various types of energy dissipation rate variations are expressed as follows:
virtual resistance and energy dissipation ratio variation Δ a on stator sideEnergy_1Comprises the following steps:
Figure BDA0003231709640000104
virtual resistance and energy dissipation rate variation delta a of active powerEnergy_2Comprises the following steps:
Figure BDA0003231709640000105
energy dissipation ratio variation Δ a of active powerEnergy_3Comprises the following steps:
Figure BDA0003231709640000111
active power and stator side energy dissipation ratio variation Δ aEnergy_4Comprises the following steps:
Figure BDA0003231709640000112
reactive power and stator-side energy dissipation ratio variation Δ aEnergy_5Comprises the following steps:
Figure BDA0003231709640000113
energy dissipation ratio variation Δ a of reactive power and active powerEnergy_6Comprises the following steps:
Figure BDA0003231709640000114
in the formula, Kc1For the virtual resistance gain of the additional energy branch 1, as a control parameter for the additional energy branch 1, Kc2The integral coefficient of the additional energy branch 2 is used as a control parameter of the additional energy branch 2.
It should be noted that, in step S2, the additional energy branch is designed through the following analysis, so as to obtain the energy dissipation rate of the virtual synchronous double-fed wind turbine before the additional energy branch is added and the energy dissipation rate variation after the additional energy branch is added, and further obtain the total energy dissipation rate of the virtual synchronous double-fed wind turbine:
and S21, establishing a virtual synchronous double-fed fan energy model.
For example, as shown in fig. 2, each doubly-fed wind generating set in the wind farm is connected to a collection bus of the wind farm through a 0.69kV/35kV transformer, and is connected to an infinite power grid through a 500kV series compensation power transmission line after being boosted by a 35kV/500kV transformer.
Therefore, the dynamic energy delta W of the port of the doubly-fed wind turbine is obtainedDFIGComprises the following steps:
ΔWDFIG=∫ΔiddΔuq-ΔiqdΔud+∫ΔPdΔθ (10)
in the formula,. DELTA.id、ΔiqThe instantaneous current variation of the d and q axes of the port, delta ud、ΔuqThe instantaneous voltage variation of the d axis and the q axis of the port are respectively, delta P is the instantaneous active power variation of the port, and delta theta is the instantaneous variation of the phase angle of the port voltage.
The active power of the port of the double-fed fan is composed of the active power of the stator and the active power of the rotor, and because the frequency change of a power grid is very small and can be ignored under the condition of subsynchronous oscillation, and the instantaneous change rate of the voltage phase angle of the stator is almost 0, the integral of delta P to delta theta in the dynamic energy of the port of the double-fed fan can be changed from the instantaneous change quantity delta P of the state quantity of the rotorrAnd Δ θrAnd (4) showing. At the same time, Δ PrAnd Δ θrMainly affected by the rotor side converter control system. Thus, doubly-fedThe fan port dynamic energy can be represented in two parts:
ΔWDFIG_1=∫ΔiddΔuq-ΔiqdΔud (11)
ΔWDFIG_RSC=∫ΔPrdΔθr (12)
in the formula,. DELTA.WDFIG_1Dynamic energy composed of port voltage and current components is mainly related to network parameters; Δ WDFIG_RSCThe dynamic energy is composed of active power and a voltage phase angle and is mainly related to a rotor side control system; delta Pr、ΔθrThe instantaneous variation of the active power of the rotor and the instantaneous variation of the voltage phase angle instruction value are respectively.
The linearized mathematical model of the doubly-fed wind turbine based on the virtual synchronous control strategy is as follows:
Figure BDA0003231709640000121
Figure BDA0003231709640000122
in the formula,. DELTA.ps、ΔqsOutputting instantaneous variation of the measured values of the active power and the reactive power for the stator of the doubly-fed fan; omegabA reference value for a nominal value of angular velocity; t is a unit ofjIs the virtual inertial time constant; d is a virtual damping coefficient; delta UrInstantaneous variation of the rotor voltage amplitude instruction value; s represents the slip of the doubly-fed wind turbine; Δ ird、ΔirqInstantaneous variable quantities of d and q axes of the rotor current of the doubly-fed fan are respectively; Δ urd、ΔurqRespectively representing d and q axis instantaneous variation of the rotor voltage of the doubly-fed fan; the electrical quantity with "c" is the electrical quantity in the control coordinate system, and the electrical quantity without "c" is the electrical quantity in the electrical coordinate system. It should be noted that the current transformer has two coordinate systems, one being an electrical coordinate system based on the electrical system and one being a control coordinate system based on the control system.
The incremental equation for rotor current and voltage in a rotating dq axis coordinate system is:
Figure BDA0003231709640000131
Figure BDA0003231709640000132
in the formula,. DELTA.isd、ΔisqAnd d and q axis instantaneous variation of the stator current of the doubly-fed fan are respectively.
Substituting a linear mathematical model of the doubly-fed wind turbine based on the virtual synchronous control strategy and an incremental equation of rotor current and voltage in a rotating dq axis coordinate system into port dynamic energy of the doubly-fed wind turbine to obtain:
Figure BDA0003231709640000133
Figure BDA0003231709640000134
according to the formula (18), the dynamic energy model includes the state quantity of the system and each parameter of the control system, and corresponding oscillation suppression measures can be provided by evaluating the influence of the dynamic energy of each part in the doubly-fed wind turbine on the stability of the system.
And S22, dividing control branches, and dividing the dynamic energy of the doubly-fed wind turbine based on the control branches.
According to the dynamic energy function of the port, the dynamic energy Δ W is converted into the powerDFIGDerivative with respect to time
Figure BDA0003231709640000135
Defined as the energy dissipation ratio aEnergyThe positive and negative properties of the energy dissipation rate are used as the distinguishing indexes of the system stability, and the expression is as follows:
Figure BDA0003231709640000136
when a isEnergyWhen the energy dissipation ratio is less than 0, the energy dissipation ratio is negative, the system consumes dynamic energy, and when the dynamic energy of the system reaches the minimum value, the system returns to the steady state again.
When a isEnergyWhen the energy dissipation ratio is 0, the energy dissipation ratio is zero, the accumulated dynamic energy and the consumed dynamic energy of the system reach relative balance, and the system is in a critical stable state.
When a isEnergyWhen the energy dissipation rate is more than 0, the energy dissipation rate is positive, the system accumulates dynamic energy, and when the dynamic energy of the system reaches the maximum value, the system is completely unstable.
By a control block diagram (a straight line connection part in fig. 4) and a mathematical model of a virtual synchronous control strategy, virtual synchronous control in a virtual synchronous double-fed fan can be divided into three control branches, namely an active power control branch, a reactive power control branch and a virtual resistance control branch, namely the active power control branch is composed of active power PsAs the control branch of input quantity, the reactive power branch is formed from reactive power QsThe virtual resistance control branch is a control branch with Rv as an input quantity. The subsynchronous component output by the active power control branch circuit is delta thetarThe subsynchronous component output by the reactive power control branch is delta UrThe subsynchronous component output by the virtual resistance control branch circuit is an additional rotor voltage IrabcRv(ii) a Wherein, IrabcThe three-phase current of the rotor abc of the doubly-fed fan is obtained. According to the linearized mathematical model of the doubly-fed wind turbine based on the virtual synchronous control strategy, it can be seen that there is a corresponding relationship between the mathematical model output of the virtual synchronous control strategy and each control branch, and the relationship is as follows: the active power control branch influences the q-axis component of the rotor voltage
Figure BDA0003231709640000141
The reactive power control branch influences the d-axis component of the rotor voltage
Figure BDA0003231709640000142
The virtual resistance control branch influences the dq-axis component Δ i of the rotor currentrd、Δirq
Based on the above analysis, the dynamic energy model is divided into 6 parts of dynamic energy, and the energy classification is shown in fig. 3, and includes:
dynamic energy delta W jointly determined by reactive power control branch and stator side state quantityDFIG_1_Q
Dynamic energy delta W determined by reactive power control branch and active power control branch togetherDFIG_RSC_Q
Dynamic energy delta W determined by active power control branch and stator side state quantity togetherDFIG_1_P
Dynamic energy Δ W determined by active power control branchDFIG_RSC_P
The dynamic energy jointly determined by the virtual resistance control branch and the state quantity at the stator side is delta WDFIG_1_ii
The dynamic energy jointly determined by the virtual resistance control branch and the active power control branch is delta WDFIG_RSC_ii
And S23, solving the energy dissipation rate of each part of dynamic energy, and analyzing the contribution of each part of dynamic energy to the subsynchronous oscillation stability of the system by analyzing the positive and negative of each part of dynamic energy, so as to be used as the design basis of an additional energy branch.
Dynamic energy delta W jointly determined by reactive power control branch and stator side state quantityDFIG_1_QIts energy dissipation ratio aDFIG_1_QThe expression of (a) is:
Figure BDA0003231709640000151
in the above formula, when the fan is in the generator state, ω isslip< 0, so the coefficients are Δ ω and- ωslipThe polynomial of (2) is a positive value, and the indexes are judged according to the system stability, and the two parts of dynamic energy are not beneficial to the system stability; the polynomial with the coefficient- Δ ω is negative and this portion of energy contributes to system stability. Thus, dynamic energyQuantity Δ WDFIG_1_QPositive and negative dynamic energy are included.
Dynamic energy delta W determined by reactive power control branch and active power control branch togetherDFIG_RSC_QIts energy dissipation ratio aDFIG_RSC_QThe expression of (a) is:
Figure BDA0003231709640000152
in the above formula, PI control parameters are included
Figure BDA0003231709640000153
The polynomial of (a) is a negative value, and the part of dynamic energy is beneficial to the stability of the system; containing PI control parameters
Figure BDA0003231709640000154
And RvThe polynomial of (a) is positive, and the dynamic energy of the part is not beneficial to the stability of the system. Therefore, the dynamic energy Δ WDFIG_RSC_QPositive and negative dynamic energy are included.
Dynamic energy delta W jointly determined by active power control branch and stator side state quantityDFIG_1_PIts energy dissipation ratio aDFIG_1_PThe expression of (c) is:
Figure BDA0003231709640000161
in the formula (I), the compound is shown in the specification,
Figure BDA0003231709640000162
in the above formula, the coefficients are Δ ω and- ωslipThe polynomial of (a) is a positive value, and the dynamic energy of the two parts is not beneficial to the stability of the system; the polynomial with the coefficient- Δ ω is negative and this portion of energy contributes to system stability. Therefore, the dynamic energy Δ WDFIG_1_PPositive and negative dynamic energy are included.
Dynamic energy Δ W determined only by the active power control branchDFIG_RSC_PIts energy dissipation ratio aDFIG_RSC_PThe expression of (c) is:
Figure BDA0003231709640000163
in the above formula, the partial energy only includes a negative polynomial, which is beneficial to the stability of the system. Therefore, the dynamic energy Δ WDFIG_RSC_POnly negative dynamic energy is contained.
The dynamic energy jointly determined by the virtual resistance control branch and the stator side state quantity is delta WDFIG_1_iiIts energy dissipation ratio aDFIG_1_iiThe expression of (c) is:
Figure BDA0003231709640000164
in the formula (I), the compound is shown in the specification,
Figure BDA0003231709640000165
in the above formula, the included polynomials are all positive values, and the overall coefficient includes- ωslipThe overall value is positive, and this part of energy is not good for system stability. Therefore, the dynamic energy Δ WDFIG_1_iiContaining only positive dynamic energy.
The dynamic energy jointly determined by the virtual resistance control branch and the active power control branch is delta WDFIG_RSC_iiIts energy dissipation ratio aDFIG_RSC_iiThe expression of (a) is:
Figure BDA0003231709640000171
in the above formula, the included polynomials are all positive values, and this part of energy is not favorable for the stability of the system. Therefore, the dynamic energy Δ WDFIG_RSC_iiContaining only positive dynamic energy.
From the above analysis, it can be seen that the virtual resistance control branch is directly controlledDynamic energy Δ WDFIG_1_iiFor positive dynamic energy, the active power control branch directly controls the dynamic energy Δ WDFIG_RSC_PThe energy is negative dynamic energy, and the coupling relationship between the two parts of energy and other control branches is weak.
Dynamic energy Δ WDFIG_1_QAnd Δ WDFIG_1_PEnergy dissipation ratio of aDFIG_1_QAnd aDFIG_1_PAre relatively close in absolute value, therefore, it can be considered that a isDFIG_1_Q≈aDFIG_1_P. At aDFIG_RSC_PMiddle, Δ ωbIs the famous difference between the subsynchronous angular velocity and the synchronous angular velocity, and the magnitude is generally 102This results in aDFIG_RSC_PIs greater than aDFIG_1_PAnd aDFIG_RSC_QThe absolute value of the dynamic energy of the two parts determined by the reactive power control branch is much smaller than that of the other dynamic energy, and the influence on the system stability is smaller. In addition, the dynamic energy of the two parts is also influenced by other control branches, so that the reactive power control branch is not suitable for energy compensation as a key control branch.
In summary, the virtual resistance control branch and the active power control branch can be used as key control branches for energy compensation; and the energy dissipation ratio a before the additional energy branch can be obtainedEnergy=aDFIG_1_Q+aDFIG_RSC_Q+aDFIG_1_P+aDFIG_RSC_P+aDFIG_1_ii+aDFIG_RSC_iiI.e. equation (2).
And S24, constructing an additional energy control branch.
The basic idea of the additional energy control branch is to reduce the positive dynamic energy and increase the negative dynamic energy, so that the dynamic energy in the system is minimized, and the stability level of the system is improved. From the analysis of the energy dissipation rates of the respective dynamic energies in step S23, the dynamic energy Δ W can be basedDFIG_1_ii、ΔWDFIG_RSC_PCompensating the virtual resistance control branch and the active power control branch, and adding additional energy branches 1 and 2, wherein the specific analysis is as follows:
(1) additional energy branch 1
As can be seen from the view of figure 3,dynamic energy Δ WDFIG_1_iiThe additional energy branch 1 is designed according to the dynamic energy without coupling relation with other control branches, and the dynamic energy delta W is used for passingDFIG_RSC_iiAnd (6) checking.
From a to aDFIG_1_iiIt is understood that the absolute values thereof are mainly related to
Figure BDA0003231709640000181
Amplitude coefficient A of1、A2、A3、A4Is related to the size of (A), wherein2、A4The value of (1) is reduced by controlling the additional energy branch (1) in the branch through the virtual resistor, thereby reducing the dynamic energy (AW)DFIG_1_iiThe expression output by the changed virtual control strategy is as follows:
Figure BDA0003231709640000182
in the formula, Kc1As a control parameter for the additional energy branch 1.
Dynamic energy delta W after adding additional energy branch 1DFIG_1_iiEnergy dissipation ratio of a'DFIG_1_iiComprises the following steps:
Figure BDA0003231709640000183
it can be obtained that the dynamic energy delta W is obtained after the additional energy branch 1 is addedDFIG_1_iiThe energy dissipation ratio variation amount of (a) is:
Figure BDA0003231709640000184
by increasing the energy dissipation ratio a of the additional energy branch 1DFIG_1_iiAnd a'DFIG_1_iiBy comparison, it can be seen that the dynamic energy Δ WDFIG_1_iiThe energy dissipation ratio of (1) is reduced due to the addition of the additional energy branch, and the stability of the subsynchronous oscillation of the system is increased.
In addition, verification is requiredThe influence of the additional branch on other dynamic energy, namely the dynamic energy delta W after the additional energy branch 1 is addedDFIG_RSC_iiNew dynamic energy will be introduced with a variable amount of energy dissipation ratio deltaaDFIG_RSC_iiThe expression is:
Figure BDA0003231709640000191
from the above formula, it can be seen that the additional energy branch 1 has a dynamic energy Δ WDFIG_RSC_iiThe dynamic energy introduced in the process is negative dynamic energy, and the stability of the system can be increased.
(2) Additional energy branch 2
As can be seen from fig. 3, among the dynamic energies affected by the active power control branch, the dynamic energy Δ WDFIG_RSC_PMutually decoupled with other control branches, designing an additional energy branch 2 according to the dynamic energy, and passing the dynamic energy delta WDFIG_RSC_Q、ΔWDFIG_1_PAnd Δ WDFIG_RSC_iiAnd (6) checking.
From a to aDFIG_RSC_PIt can be seen that the dynamic energy Δ WDFIG_RSC_PIs negative dynamic energy, an additional energy branch 2 in the active control branch is needed to increase the energy, so that the stability of the system is improved. The output quantity of the active power control branch circuit after the additional energy branch circuit 2 is added is as follows:
Figure BDA0003231709640000192
in the formula, Kc2As a control parameter for the additional energy branch 2.
Dynamic energy delta W after adding additional energy branch 2DFIG_RSC_PEnergy dissipation ratio of a'DFIG_RSC_PComprises the following steps:
Figure BDA0003231709640000193
it can be obtained that the dynamic energy Δ W is obtained after adding the additional energy branch 2DFIG_RSC_PThe energy dissipation ratio variation amount of (a) is:
Figure BDA0003231709640000194
from a'DFIG_RSC_PThe expression shows that the additional energy branch 2 has dynamic energy delta WDFIG_RSC_PA part of negative dynamic energy is introduced, and the stability level of the system is improved.
Two energy branches are added in the virtual synchronous control system, the influence of the two added branches on other dynamic energy needs to be verified after the two added branches are added together, and the dynamic energy delta W is obtained after the two added energy branches are addedDFIG_1_PNew dynamic energy will be introduced with a variable amount of energy dissipation ratio deltaaDFIG_1_PThe expression is as follows:
Figure BDA0003231709640000201
ΔaDFIG_1_Pis determined by the control parameters K of the two additional energy branchesc1、Kc2Jointly, the two control parameters can be reasonably set to be within the range of delta WDFIG_1_PNegative dynamic energy is introduced, and the stability level of the system is improved.
Dynamic energy delta W after adding two additional energy branchesDFIG_1_QNew dynamic energy will be introduced with a variable amount of energy dissipation ratio deltaaDFIG_1_QThe expression is as follows:
Figure BDA0003231709640000202
ΔaDFIG_1_Qthe positive and negative of (A) are also determined by the control parameters K of the two additional energy branchesc1、Kc2Jointly, it is decided that only a reasonable setting of these two control parameters can be achieved at Δ WDFIG_1_QNegative dynamic energy is introduced, and the stability level of the system is improved.
Dynamic state after adding two additional energy branchesEnergy Δ WDFIG_RSC_QNew dynamic energy will be introduced with a variable amount of energy dissipation ratio deltaaDFIG_RSC_QThe expression is as follows:
Figure BDA0003231709640000203
ΔaDFIG_RSC_Qthe positive and negative of (A) are also determined by the control parameters K of the two additional energy branchesc1、Kc2Jointly, it is decided that the two control parameters can only be set properly at Δ WDFIG_RSC_QNegative dynamic energy is introduced, and the stability level of the system is improved.
Therefore, after the additional energy branches 1 and 2 are added, 6 types of energy dissipation rate variable quantities are introduced, namely the energy dissipation rate variable quantities delta a of the virtual resistor and the stator side respectivelyEnergy_1=ΔaDFIG_1_ii(ii) a Virtual resistance and energy dissipation rate variation delta a of active powerEnergy_2=ΔaDFIG_RSC_ii(ii) a Energy dissipation ratio variation Δ a of active powerEnergy_3=ΔaDFIG_RSC_P(ii) a Active power and stator side energy dissipation ratio variation Δ aEnergy_4=ΔaDFIG_1_P(ii) a Reactive power and energy dissipation ratio variation Δ a on the stator sideEnergy_5=ΔaDFIG_1_Q(ii) a Energy dissipation ratio variation Δ a of reactive power and active powerEnergy_6=ΔaDFIG_RSC_Q. The energy dissipation rate variation delta a of the virtual synchronous double-fed fan after the additional energy branch is added can be obtainedEnergyExpressed as:
Figure BDA0003231709640000211
in the formula,. DELTA.aEnergy_iThe method comprises the steps that the ith type of energy dissipation rate variable quantity is introduced after an additional energy branch is added to the virtual synchronous double-fed fan, and n represents the total type number of the introduced energy dissipation rate variable quantity.
Therefore, the control block diagram after the two additional energy branches are added is shown in fig. 4. The control equation of the active power branch circuit after the additional energy branch circuit is added is as follows:
Figure BDA0003231709640000212
in the formula, PmActive power output for prime mover, PsActive power is output for the stator of the doubly-fed wind turbine, wherein omega is the virtual stator angular velocity and omegasRated angular velocity, omega, of the statorrIs the angular velocity, θ, of the doubly-fed wind turbine rotorrThe rotor voltage phase angle instruction value is obtained.
It can be known from the above control equation that the introduction of the additional control branch 2 introduces a new additional quantity into the rotor voltage phase angle, which inevitably affects the frequency modulation characteristics of the virtual synchronous doubly-fed wind turbine, and to reduce this effect, a high-pass filter needs to be further introduced to filter out the fundamental frequency component in the active power, and only the component of the subsynchronous frequency band is reserved, and the position of the filter is shown by the dotted line in fig. 4. In addition, the rotor voltage increment introduced by the additional control branch 2 at the rotor side converter is relatively large, which affects the steady-state operation characteristic of the doubly-fed wind turbine, so that a low-pass filter is required to be used, only the sub-synchronous component is allowed to pass, and the influence on the steady-state operation characteristic is reduced, wherein the position of the filter is shown by a dotted line in fig. 4.
From the above analysis, it can be derived that the added energy additional energy branch is:
additional energy branch 1: rotor current is introduced into virtual control of the rotor, and after low-pass filtering, the rotor current is subjected to virtual resistance gain Kc1And outputs to the rotor voltage.
Additional energy branch 2: active power is introduced into the virtual synchronous control of the rotor, and after high-pass filtering, the active power is subjected to integral coefficient Kc2And outputting the phase angle to the virtual synchronous phase angle.
The total energy dissipation rate of the virtual synchronous double-fed fan after the additional energy branch is added is as follows:
a′Energy=aEnergy+ΔaEnergy
s3, establishing a control parameter optimization model by taking the energy dissipation rate variable quantity after the additional energy branches are added as a target function constraint condition that the energy dissipation rate variable quantity is smaller than 0 and the total energy dissipation rate minimum value is taken as a target function constraint condition, determining the control parameters of each additional energy branch, starting each additional energy branch after the parameters are determined, and achieving subsynchronous oscillation suppression of the virtual synchronous double-fed fan.
In practice, the control parameter optimization model is expressed as:
Figure BDA0003231709640000221
in the formula of Ur0Is a steady state value of a virtual synchronous doubly-fed wind turbine rotor voltage command value, Ud0Is the steady-state value of the DC voltage of the virtual synchronous double-fed fan, Urmin、UrmaxThe upper limit and the lower limit of the steady state value of the rotor voltage during the steady state operation of the system, Udmin、UdmaxThe upper limit and the lower limit, omega, of the steady state value of the direct current voltage during the steady state operation of the systemdisFor sub-synchronous disturbance of angular velocity, Kmin、KmaxFor controlling a parameter Kc1And Kc2Preferably, U is selected from the upper and lower limits ofrmin、Urmax、Udmin、UdmaxIs set as Ur0And Ud0. + -. 5% of.
It can be understood that the control parameters of the additional energy branch need to satisfy the upper and lower limits thereof, so as to avoid overshoot phenomenon of the control system and cause new oscillation of the system.
Specifically, the additional energy branch may affect the amplitude of the rotor voltage, and a constraint condition needs to be added to reduce the influence on the stable operation characteristic of the fundamental frequency. In addition, the control system directly acts on a rotor side converter of the virtual synchronous double-fed fan, the change of the control structure can affect the direct-current bus voltage, reasonable control parameters need to be configured, the change quantity of the direct-current bus voltage is less than 5%, the steady-state operation characteristic of the additional control on the double-fed fan is reduced as much as possible, and inequality constraint conditions which need to be met are as follows:
Figure BDA0003231709640000222
in addition, the oscillation frequency of the subsynchronous oscillation is generally mainly from 5Hz to 45Hz, and therefore, the oscillation component angular velocity ω of the systemdisUpper and lower limits are also desirable. And in order to accelerate the calculation speed of optimization, the energy introduced by the additional energy branch is negative dynamic energy, namely the variation of the introduced energy dissipation rate of each type is less than 0, and the constraint condition of the objective function is taken as the energy.
In implementation, the subsynchronous oscillation suppression method further comprises the step of optimizing a function based on the control parameter optimization model and the bacterial population chemotaxis algorithm to obtain the optimal control parameter of the additional energy branch.
Specifically, according to the control parameter optimization model, a function optimization method of a Bacterial Colony Chemotaxis (BCC) algorithm is combined to obtain the optimal control parameters of the additional energy branch, and the process is shown in fig. 5 and includes the following steps:
s31, initializing the positions of all bacteria, and establishing a variable space; wherein the bacteria represent the control parameters of the additional energy branch.
Calculating the total energy dissipation rate according to the operation data of the virtual synchronous double-fed fan, and further determining a control parameter K of the additional energy branch according to a control parameter optimization modelc1,Kc2The location of the randomly distributed bacterial population.
S32, determining convergence accuracy epsilon and further determining system parameter T0、b、τcThe following were used:
T0=ε0.3×10-1.73
b=T0(T0 -1.54×100.6),
τc=(b/T0)0.31×101.16
in the formula, T0Is a parameter related to the accuracy of the calculation, τcIs the time related to the size of the turning angle of the moving direction of the bacteria, and b is a parameter which is not related to the dimension;
specifically, the convergence accuracy may be set as needed, and preferably, the convergence accuracy ∈ is 0.136.
S33, starting from the initial position, carrying out individual optimization, specifically:
first, a moving step l is determined, where l constant t is the bacteria moving time.
Wherein the bacteria migration time t satisfies an exponential distribution, i.e.
Figure BDA0003231709640000231
Figure BDA0003231709640000241
In the formula, fprIs the difference in the function value of T of the current point and the previous point,/prIs the modulus of the vector connecting the current point and the last point in the variable space.
Then, determining an included angle alpha between the new direction and the original trajectory, and deflecting leftwards or rightwards according to the new direction respectively obeying the following two Gaussian probability distributions (normal distributions):
Figure BDA0003231709640000242
where, it is desired that μ ═ e (x) and variance
Figure BDA0003231709640000243
Are respectively given as follows:
if it is
Figure BDA0003231709640000244
μ=62°(1-cos(θ)),σ=26°(1-cos(θ)),
Figure BDA0003231709640000245
In the formula, tprThe duration of a trajectory movement on the bacteria.
If it is
Figure BDA0003231709640000246
μ=62°,σ=26°。
Finally, the bacteria advance along the step and direction determined above until the initial convergence accuracy ε is satisfiedbeginThereby obtaining
Figure BDA00032317096400002414
The position of (a).
S34, for the bacteria i in the k steps of moving, sensing the positions of other bacteria with smaller energy dissipation rate around the bacteria i (calculating the total energy dissipation rate, obtaining smaller energy dissipation rate through comparison, and further obtaining the bacteria positions), and determining the center points of the bacteria i
Figure BDA0003231709640000247
And assuming the distance of movement of itself towards this centre point
Figure BDA0003231709640000248
Determining position
Figure BDA0003231709640000249
Wherein rand () is a random moving step size,
Figure BDA00032317096400002410
indicating that it is moving in the direction of the center point (i.e., the forward direction).
S35, determining the position of the bacterium i in the k +1 step according to the moving direction of the bacterium i in the moving step number k
Figure BDA00032317096400002411
That is, the step S34 is repeated to determine the moving direction and step length of the required forward movement, so as to obtain
Figure BDA00032317096400002412
S36, calculating the energy dissipation ratio a 'of the system behind the additional energy branch'EnergyIn position
Figure BDA00032317096400002413
And position
Figure BDA0003231709640000251
If a function value of
Figure BDA0003231709640000252
Then the bacteria migrate at the k +1 step to
Figure BDA0003231709640000253
Otherwise move to
Figure BDA0003231709640000254
S37, repeating the steps S33-S36 until the difference value between the energy dissipation rate of the current position and the previous position is smaller than or equal to the convergence accuracy epsilon, and obtaining the additional control parameter K when the total energy dissipation rate of the system is minimumc1_min,Kc2_min
The control parameters obtained after parameter optimization are applied to the two additional energy branches, the subsynchronous oscillation cooperative control strategy of the multiple additional energy branches is realized, and the subsynchronous oscillation suppression effect of the virtual synchronous double-fed fan is better.
Compared with the prior art, the virtual synchronous double-fed fan subsynchronous oscillation suppression method provided by the invention has the advantages that two additional energy branches are added on the basis of the original virtual synchronous double-fed fan structure, the energy dissipation rate of the virtual synchronous double-fed fan before the additional energy branches are added and the energy dissipation rate variable quantity after the additional energy branches are added are obtained by collecting the operation data of the virtual synchronous double-fed fan, the total energy dissipation rate of the virtual synchronous double-fed fan is further obtained, the control parameters of each additional energy branch are further determined, and subsynchronous oscillation suppression of the virtual synchronous double-fed fan is realized.
Example 2
The invention discloses a virtual synchronous double-fed fan subsynchronous oscillation suppression system, which comprises the following components:
the data acquisition module is used for acquiring the operation data of the virtual synchronous double-fed fan;
the total energy dissipation rate calculation module is used for obtaining the energy dissipation rate of the virtual synchronous double-fed fan before the additional energy branch is added and the energy dissipation rate variable quantity after the additional energy branch is added based on the operation data, and further obtaining the total energy dissipation rate of the virtual synchronous double-fed fan;
and the subsynchronous oscillation suppression processing module is used for establishing a control parameter optimization model by taking the energy dissipation rate variable quantity after the additional energy branches are added as less than 0 and the total energy dissipation rate of the virtual synchronous double-fed fan taking the minimum value as a target function constraint condition, determining the control parameters of each additional energy branch, and starting each additional energy branch after the parameters are determined, so as to realize subsynchronous oscillation suppression of the virtual synchronous double-fed fan.
It should be noted that the embodiment of the system and the embodiment of the method are based on the same principle, and the related points can be referred to each other and achieve the same technical effect.
Example 3
In order to verify the effectiveness of the virtual synchronous doubly-fed wind turbine subsynchronous oscillation suppression method and system provided in embodiments 1 and 2 of the present invention, a specific embodiment 3 of the present invention builds a virtual synchronous doubly-fed wind turbine as shown in fig. 2. Each double-fed wind generating set in the wind power plant is connected to a wind power plant collecting bus through a 0.69kV/35kV transformer, is boosted through a 35kV/500kV transformer and is connected to an infinite power grid through a 500kV series compensation power transmission line, wherein R, L, C is the total resistance, the inductance and the capacitance of the power transmission line respectively. The main parameters of the virtual synchronous doubly-fed wind turbine are shown in the following table.
Figure BDA0003231709640000261
In order to verify the effectiveness and the correctness of the subsynchronous oscillation suppression method provided by the method, firstly, the energy dissipation rate of each part of energy in the embodiment 1 is calculated according to the state quantity of the port of the measuring fan, and the influence of each part of dynamic energy on the stability of the system is verified.
In the case of system oscillation divergence, the energy dissipation ratios of the six types of dynamic energy determined by the three control branches are calculated according to embodiment 1, as shown in fig. 6.
As can be seen from FIG. 6, the dynamic energy Δ WDFIG_1_ii、ΔWDFIG_RSC_iiConstant positive energy dissipation ratio, dynamic energy Δ WDFIG_RSC_PIs constantly negative, although the dynamic energy Δ WDFIG_1_Q、ΔWDFIG_RSC_Q、ΔWDFIG_1_PThe energy dissipation ratio of (a) is always positive, but its absolute value is much smaller than other dynamic energies. When t is 2s, the energy dissipation ratios of the two parts of dynamic energy determined by the reactive power control branch are respectively 2.45 × 10-11、3.29×10-11(ii) a The energy dissipation rates of the two parts of dynamic energy determined by the active power control branch circuits are respectively 5.74 multiplied by 10-11、-8.27×10-11(ii) a The energy dissipation rates of the two parts of dynamic energy determined by the virtual resistance control branch circuit are respectively 2.10 multiplied by 10-10、1.59×10-10. From the absolute value of the energy dissipation ratio, the dynamic energy Δ WDFIG_1_Q、ΔWDFIG_RSC_QThe influence on the system stability is small, and the system cannot be used as the key dynamic energy of the design basis of the additional energy branch. The results are consistent with the analytical results in example 1.
Then, respectively adding an additional energy branch circuit 1 and an additional energy branch circuit 2 into a control strategy of the virtual synchronous double-fed fan, and verifying the effectiveness of each additional energy branch circuit; and simultaneously adding two additional energy branches to verify the effectiveness of the combined action of the two branches.
(1) Adding additional energy branch 1
Adding subsynchronous oscillation disturbance when t is 1s, adding an additional energy branch 1 after 1s, and controlling a parameter K of the additional energy branchc10.09. The active power output by the virtual synchronous double-fed wind turbine is shown in fig. 7, the d-axis voltage instantaneous value on the rotor side is shown in fig. 8, and the FFT analysis results before and after the additional energy branch is put into operation are shown in fig. 9.
Subsynchronous oscillation of the system due to additional energyThe input of the measuring branch 1 is changed from oscillation divergence to oscillation convergence, and the system enters a stable state again. Meanwhile, as can be seen from the FFT analysis result of fig. 9, before the additional energy branch 1 is put into use, a subsynchronous oscillation component with 14Hz as a main component and a small amount of supersynchronous oscillation component with 84Hz exist in the system, and after the additional energy branch 1 is put into use, the subsynchronous oscillation component in the system disappears, so that the comparison between the above and the additional energy branch 1 has the energy for suppressing subsynchronous oscillation. However, in fig. 8, the steady-state value of the instantaneous value of the rotor-side d-axis voltage greatly changes due to the input of the additional energy branch 1, and u is before the branch is inputrd0U is-0.221 after branch is put intord0The variation was 20.81%, which is well outside the allowable range, 0.175.
In conclusion, the additional energy branch 1 has better subsynchronous oscillation energy suppression, but if the parameter setting is too large, the steady-state operation characteristic of the virtual synchronous doubly-fed wind turbine is affected.
(2) Adding additional energy branch 2
When t is equal to 1s, subsynchronous oscillation disturbance is added, and after 1s, an additional energy branch 2 is added, and the control parameter K of the additional energy branch c210. And respectively putting into control strategies when the series compensation degree is 20% and 40%, verifying the capability of the additional energy branch 2 for inhibiting subsynchronous oscillation, wherein the active power output by the virtual synchronous double-fed fan is shown in fig. 10.
As can be seen from fig. 10(a), when the series compensation degree is small (20%), the subsynchronous oscillation can be suppressed well by adding the additional energy branch 2. As can be seen in fig. 10(b), when the series compensation degree is large (40%), the additional energy branch 2 is added to suppress the divergence of the subsynchronous oscillation, and the active power output by the doubly-fed wind turbine does not tend to converge, but oscillates at a constant amplitude.
In summary, the additional energy branch 2 has the capability of suppressing subsynchronous oscillation, but cannot effectively suppress oscillation when the oscillation divergence degree is large.
It can be seen that the two additional energy branches are not enough to be used independently, so that the two additional energy branches need to be used simultaneously and parameters need to be optimized, and the optimal oscillation suppression effect is achieved.
(2) Adding additional energy branches 1 and 2
Adding subsynchronous oscillation disturbance with a large oscillation amplitude into the system when t is 1s, putting the two additional energy branches into the system when t is 2s, taking the energy dissipation rate of the system when t is 2s as an optimization objective function value, and obtaining control parameters of the two additional energy branches through a BCC parameter optimization method, wherein the control parameters comprise: kc1_min=0.074、Kc2_min9.69. The influence of the additional energy branch control parameters on the system energy dissipation ratio is shown in fig. 11, and the minimum point a of the system energy dissipation ratioEnergy_minHas the coordinates of [0.074,9.69, -7.328X 10 ]-10]. By adopting the control parameter, the suppression effect of the control measure is verified through a dynamic energy model and time domain simulation.
And when t is equal to 1s, subsynchronous oscillation disturbance with larger oscillation amplitude is added into the system, and when t is equal to 2s, two additional energy branches with optimized control parameters are added. As shown in fig. 12, the dynamic energy at the port of the virtual synchronous double-fed fan is accumulated at a speed gradually increasing before the energy branch is added, and after the energy branch is added, the accumulated speed of the dynamic energy of the system is gradually decreasing, and finally the dynamic energy is not changed and the system enters a stable state again. The energy dissipation rate of the virtual synchronous double-fed fan is as shown in fig. 13, before the energy branch is added, the energy dissipation rate of the system is always a positive value, the absolute value is gradually increased, after the energy branch is added, the energy dissipation rate of the system is always a negative value, the absolute value is gradually decreased, the system finally converges to 0, and the system enters a stable state again. The energy dissipation ratios of the system before and after the time t is 2s are respectively 1.98 × 10-10、-7.33×10-10Therefore, the system energy dissipation rate is reduced by the input of the additional energy branch circuit, and the system energy dissipation rate is changed from a positive value to a negative value, so that the stability level of the system is improved.
The active power output by the virtual synchronous double-fed fan is shown in fig. 14, the oscillation amplitude of the active power is continuously increased in a time period of 1-2 s, the oscillation amplitude is gradually reduced after the time period of 2s, and the system enters a stable state again. The d-axis voltage instantaneous value on the rotor side is shown in FIG. 15, and the d-axis voltage instantaneous values on the rotor side are stabilized before and after the additional energy branch is put into operationValue of state urd0Basically, the system has no change, and the influence of control measures on the steady-state operation characteristic of the system is small by calculating the change amount to be less than 5 percent.
In conclusion, the subsynchronous oscillation cooperative control strategy of the multiple additional energy branches can effectively inhibit the subsynchronous oscillation of the system and improve the stability of the system.
Those skilled in the art will appreciate that all or part of the flow of the method implementing the above embodiments may be implemented by a computer program, which is stored in a computer readable storage medium, to instruct related hardware. The computer readable storage medium is a magnetic disk, an optical disk, a read-only memory or a random access memory, etc.
The above description is only for the preferred embodiment of the present invention, but the scope of the present invention 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 invention are included in the scope of the present invention.

Claims (10)

1. A virtual synchronous doubly-fed fan subsynchronous oscillation suppression method is characterized by comprising the following steps:
collecting operation data of the virtual synchronous double-fed fan;
based on the operation data, obtaining the energy dissipation rate of the virtual synchronous double-fed fan before the additional energy branch is added and the energy dissipation rate variation after the additional energy branch is added, and further obtaining the total energy dissipation rate of the virtual synchronous double-fed fan;
and establishing a control parameter optimization model by taking the energy dissipation ratio variable quantity after the additional energy branches are added as less than 0 and the total energy dissipation ratio minimum value as a target function constraint condition, determining the control parameters of each additional energy branch, and starting each additional energy branch after the parameters are determined to realize the subsynchronous oscillation suppression of the virtual synchronous double-fed fan.
2. The virtual synchronous doubly-fed wind turbine subsynchronous oscillation suppression method for the virtual synchronous doubly-fed wind turbine as recited in claim 1, wherein the operation data of the virtual synchronous doubly-fed wind turbine comprises: the method comprises the steps of rotor current and voltage, inductance of a rotor and a stator, mutual inductance between the stator and the rotor, a stator voltage amplitude instruction value, deviation amount of subsynchronous angular velocity and synchronous angular velocity, a reference value of a named value of angular velocity, slip angular velocity of a doubly-fed fan, amplitude of disturbance current, total resistance of a transmission line, a direct current voltage steady-state value and active power.
3. The virtual synchronous doubly-fed wind turbine subsynchronous oscillation suppression method of claim 1, wherein the added additional energy branch comprises:
additional energy branch 1: rotor current is introduced into the rotor virtual synchronous control, and after low-pass filtering, the rotor current is subjected to virtual resistance gain Kc1Outputting to a rotor voltage;
additional energy branch 2: active power is introduced into the virtual synchronous control of the rotor, and after high-pass filtering, the active power is subjected to an integral coefficient Kc2And outputting the phase angle to the virtual synchronous phase angle.
4. The virtual synchronous doubly-fed wind turbine subsynchronous oscillation suppression method of claim 2, wherein total energy dissipation ratio a 'of the virtual synchronous doubly-fed wind turbine'EnergyExpressed as:
a′Energy=aEnergy+ΔaEnergy
in the formula, aEnergyIncreasing the energy dissipation ratio delta a before adding an additional energy branch for the virtual synchronous double-fed fanEnergyAnd increasing the energy dissipation rate variable quantity after an additional energy branch is added to the virtual synchronous double-fed fan.
5. The virtual synchronous doubly-fed wind turbine subsynchronous oscillation suppression method for the virtual synchronous doubly-fed wind turbine as claimed in claim 1, wherein the energy dissipation ratio of the virtual synchronous doubly-fed wind turbine before adding the additional energy branch is expressed as follows:
Figure FDA0003231709630000021
wherein the content of the first and second substances,
Figure FDA0003231709630000031
Figure FDA0003231709630000032
in the formula ird0、irq0Is a steady-state value of the current amplitude of the d-axis and the q-axis of the rotor, urd0、urq0Is a steady state value of d-axis and q-axis voltage amplitudes of the rotor, LrIs the rotor inductance, LsIs a stator inductance, LmIs mutual inductance, U, between stator and rotorsIs a stator voltage amplitude command value, Ur0A steady state value expressed as a rotor voltage amplitude command value, Δ ω is a deviation amount of the subsynchronous angular velocity from the synchronous angular velocity, ωbIs a reference value, omega, of a nominal value of angular velocityslipThe slip angular velocity of the doubly-fed wind turbine is D, the virtual damping coefficient is TjIs a time constant of the virtual inertia,
Figure FDA0003231709630000033
respectively PI control parameter, R of the reactive power control loopvIs a virtual resistance, IdisFor the amplitude of the disturbance current, RgIs the total resistance of the transmission line.
6. The virtual synchronous doubly-fed wind turbine subsynchronous oscillation suppression method of claim 5, wherein the energy dissipation ratio variation Δ a of the virtual synchronous doubly-fed wind turbine after the virtual synchronous doubly-fed wind turbine adds the additional energy branch is increasedEnergyExpressed as:
Figure FDA0003231709630000034
in the formula,. DELTA.aEnergy_iThe method comprises the steps that the ith type of energy dissipation rate variable quantity is introduced after an additional energy branch is added to the virtual synchronous double-fed fan, and n represents the total type number of the introduced energy dissipation rate variable quantity.
7. The virtual synchronous double-fed fan subsynchronous oscillation suppression method of claim 6, wherein the total number n of categories of the introduced energy dissipation ratio variation is 6; the various types of energy dissipation rate variations are expressed as follows:
virtual resistance and energy dissipation ratio variation Δ a on stator sideEnergy_1Comprises the following steps:
Figure FDA0003231709630000041
virtual resistance and energy dissipation rate variation delta a of active powerEnergy_2Comprises the following steps:
Figure FDA0003231709630000042
active power energy dissipation ratio variation Δ aEnergy_3Comprises the following steps:
Figure FDA0003231709630000043
active power and stator side energy dissipation ratio variation Δ aEnergy_4Comprises the following steps:
Figure FDA0003231709630000044
reactive power and energy dissipation ratio variation Δ a on the stator sideEnergy_5Comprises the following steps:
Figure FDA0003231709630000045
energy dissipation ratio variation Δ a of reactive power and active powerEnergy_6Comprises the following steps:
Figure FDA0003231709630000046
in the formula, Kc1For the virtual resistance gain of the additional energy branch 1 as a control parameter of the additional energy branch 1, Kc2The integral coefficient of the additional energy branch 2 is used as a control parameter of the additional energy branch 2.
8. The virtual synchronous doubly-fed wind turbine subsynchronous oscillation suppression method of claim 7, wherein the control parameter optimization model is expressed as:
Figure FDA0003231709630000051
in the formula of Ud0Is the steady-state value of the DC voltage of the virtual synchronous double-fed fan, Urmin、UrmaxThe upper limit and the lower limit of the steady state value of the rotor voltage during the steady state operation of the system, Udmin、UdmaxThe upper limit and the lower limit, omega, of the steady-state value of the direct-current voltage during the steady-state operation of the systemdisFor sub-synchronous disturbance of angular velocity, Kmin、KmaxFor controlling a parameter Kc1And Kc2Upper and lower limits of the value of (1).
9. The virtual synchronous double-fed wind turbine subsynchronous oscillation suppression method of claim 8, further comprising the step of obtaining the optimal control parameters of the additional energy branches based on the control parameter optimization model and function optimization of a bacterial population chemotaxis algorithm.
10. The utility model provides a virtual synchronous doubly-fed fan subsynchronous oscillation suppression system which characterized in that includes:
the data acquisition module is used for acquiring the operation data of the virtual synchronous double-fed fan;
the total energy dissipation ratio calculation module is used for obtaining the energy dissipation ratio of the virtual synchronous double-fed fan before the additional energy branch is added and the energy dissipation ratio variable quantity after the additional energy branch is added based on the operation data, and further obtaining the total energy dissipation ratio of the virtual synchronous double-fed fan;
and the subsynchronous oscillation suppression processing module is used for establishing a control parameter optimization model by taking the energy dissipation rate variable quantity after the additional energy branches are added as less than 0 and the total energy dissipation rate of the virtual synchronous double-fed fan taking the minimum value as a target function constraint condition, determining the control parameters of each additional energy branch, and starting each additional energy branch after the parameters are determined, so as to realize subsynchronous oscillation suppression of the virtual synchronous double-fed fan.
CN202110989148.2A 2021-08-26 2021-08-26 Virtual synchronous double-fed fan subsynchronous oscillation suppression method and system Pending CN114759575A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN202110989148.2A CN114759575A (en) 2021-08-26 2021-08-26 Virtual synchronous double-fed fan subsynchronous oscillation suppression method and system

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN202110989148.2A CN114759575A (en) 2021-08-26 2021-08-26 Virtual synchronous double-fed fan subsynchronous oscillation suppression method and system

Publications (1)

Publication Number Publication Date
CN114759575A true CN114759575A (en) 2022-07-15

Family

ID=82326232

Family Applications (1)

Application Number Title Priority Date Filing Date
CN202110989148.2A Pending CN114759575A (en) 2021-08-26 2021-08-26 Virtual synchronous double-fed fan subsynchronous oscillation suppression method and system

Country Status (1)

Country Link
CN (1) CN114759575A (en)

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN115622086A (en) * 2022-11-29 2023-01-17 东南大学溧阳研究院 Doubly-fed wind turbine subsynchronous oscillation self-adaptive damping suppression method considering transient energy
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

Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN115622086A (en) * 2022-11-29 2023-01-17 东南大学溧阳研究院 Doubly-fed wind turbine subsynchronous oscillation self-adaptive damping suppression method considering transient energy
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

Similar Documents

Publication Publication Date Title
CN108631331B (en) Doubly-fed wind power plant subsynchronous oscillation suppression method and device
CN111431208B (en) Voltage source and current source dual-mode self-adaptive coordination control method for wind turbine generator
CN109149620B (en) Self-energy-storage multi-terminal flexible-straight system control method and system
CN114944663B (en) Energy storage system control method and system based on network-building type converter
CN110518631B (en) Stability assessment method and system for direct-drive wind turbine generator
CN114759575A (en) Virtual synchronous double-fed fan subsynchronous oscillation suppression method and system
Errami et al. Design of a nonlinear backstepping control strategy of grid interconnected wind power system based PMSG
CN109936152A (en) Power grid frequency modulation control method after high permeability wind-electricity integration, wind-driven generator
Barambones Robust wind speed estimation and control of variable speed wind turbines
Abo-Khalil et al. Sensorless control for DFIG wind turbines based on support vector regression
Soomro et al. Wind energy integration: Dynamic modeling and control of DFIG based on super twisting fractional order terminal sliding mode controller
CN107947196A (en) A kind of ultra-low frequency oscillation suppressing method based on improvement particle cluster algorithm
CN110266044B (en) Microgrid grid-connected control system and method based on energy storage converter
Hemeyine et al. Robust takagi sugeno fuzzy models control for a variable speed wind turbine based a DFI-generator
CN107123991B (en) Dynamic voltage restorer control method and device based on fuzzy particle swarm algorithm
Pourebrahim et al. Sensorless model reference adaptive control of DFIG by using high frequency signal injection and fuzzy logic control
CN110417047B (en) Method for analyzing SSCI damping characteristics of doubly-fed fan based on complex torque coefficient
CN110460113B (en) Mechanical inertia simulation method of inverter power supply
He et al. Introducing MRAC‐PSS‐VI to Increase Small‐Signal Stability of the Power System after Wind Power Integration
CN115085272A (en) Active power calculation method and system of doubly-fed wind turbine based on fault ride-through process
CN112332686B (en) Method for constructing energy function of droop inverter with current limiter
CN112421976B (en) Three-level inverter power supply reduced-order modeling method based on hybrid system theory
CN114844126A (en) DFIG active power control method based on distributed model predictive control
CN113824133A (en) VSG grid-connected system frequency stability analysis method and virtual power grid rigidity control method
CN112271759A (en) Method, system and device for optimizing wind power frequency modulation parameters under multi-frequency modulation resource framework

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination