CN114841606A - Stability analysis method, device, equipment and medium for fan grid-connected system - Google Patents

Stability analysis method, device, equipment and medium for fan grid-connected system Download PDF

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CN114841606A
CN114841606A CN202210579772.XA CN202210579772A CN114841606A CN 114841606 A CN114841606 A CN 114841606A CN 202210579772 A CN202210579772 A CN 202210579772A CN 114841606 A CN114841606 A CN 114841606A
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stability
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陆秋瑜
陈俊生
于珍
杨银国
刘洋
林英明
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Guangdong Power Grid Co Ltd
Electric Power Dispatch Control Center of Guangdong Power Grid Co Ltd
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Electric Power Dispatch Control Center of Guangdong Power Grid Co Ltd
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Abstract

The invention discloses a stability analysis method, a device, equipment and a medium of a fan grid-connected system, wherein a damping torque coefficient of the fan grid-connected system is analytically deduced through a first dynamic equation, and an influence relation between the damping torque coefficient of the system and the dynamic characteristics of a fan is determined by combining a third dynamic equation during system disturbance in an MPPT mode, so that key factors influencing the stability of the system in the dynamic characteristics of the fan are definitely analyzed, thereby providing a stability criterion in the dynamic state of the fan for the fan grid-connected system, ensuring that the system stability can be analyzed in the dynamic process of the fan, and finally analyzing a stability parameter of the fan grid-connected system based on the influence relation, so as to quantify the influence of the dynamic characteristics of the fan on the system stability.

Description

Stability analysis method, device, equipment and medium for fan grid-connected system
Technical Field
The invention relates to the technical field of wind power generation, in particular to a stability analysis method, a device, equipment and a medium for a fan grid-connected system.
Background
A large number of Power electronic converters are applied in the large-scale high-permeability grid connection process of a wind Power plant, wherein a variable speed wind turbine generator based on a phase-locked loop decouples the relation between the rotating speed of a fan and the system frequency under the traditional Maximum Power Point Tracking (MPPT) working mode, and the inertia level of a Power grid is reduced. In order to improve the inertia response capability of the wind turbine, Voltage Sag Generator (VSG) control is a common control strategy for grid connection of a wind turbine Generator through a Voltage Source Converter (VSC). VSG controls the change of angular frequency of the virtual rotor through a rotor motion equation of the wind turbine generator and a system power difference, so that self-synchronization of a VSC grid-connected system independent of a phase-locked loop is achieved, and electromechanical oscillation damping is provided for a power grid through setting of original damping control parameters.
At present, aiming at a stability analysis method of a virtual synchronous fan based on VSG control, due to interaction between VSG control and fan control, the damping of the virtual synchronous fan in the dynamic process of a VSC grid-connected system is different from the original damping control parameters of VSG. Under certain conditions, the stability of the VSC grid-connected system can be seriously threatened by the damping difference between the damping in the dynamic process and the original damping control parameters, so that the original stability criterion is invalid. Therefore, an analysis method for the influence of the dynamic process of the wind turbine on the stability of the wind turbine grid-connected system is needed.
Disclosure of Invention
The invention provides a stability analysis method, a device, equipment and a medium for a fan grid-connected system, and aims to solve the technical problem that the stability criterion of the fan grid-connected system fails in the dynamic process of a fan.
In order to solve the technical problem, in a first aspect, the present invention provides a method for analyzing stability of a wind turbine grid-connected system, including:
determining a system damping torque coefficient based on a first dynamic equation of VSC grid connection of a voltage source converter under a VSG control strategy of a voltage sag generator, wherein the first dynamic equation is used for representing a dynamic relation between a system power angle and damping control parameters of the VSG control strategy;
calculating the output power of the synchronous fan in the maximum power point tracking MPPT mode based on a preset active power output model of the synchronous fan in the fan grid-connected system;
generating a third dynamic equation during system disturbance based on a second dynamic equation of VSC grid connection and the output power of the synchronous fan, wherein the second dynamic equation is a system dynamic equation without considering the rotor rotation damping of the synchronous fan;
determining an influence relation between the system damping torque coefficient and the dynamic characteristic of the fan according to the system damping torque coefficient and a third dynamic equation;
and analyzing stability parameters of the fan grid-connected system based on the influence relationship, wherein the stability parameters are used for representing the stability influence degree on the system damping torque coefficient of the fan grid-connected system.
Preferably, the determining the system damping torque coefficient based on a first dynamic equation of VSC grid connection of a voltage source converter under a VSG control strategy comprises the following steps:
acquiring a preset small signal analysis model of VSC grid connection, wherein the preset small signal analysis model is used for representing the relation among a VSC voltage phase, a VSC voltage angular frequency and VSC grid connection active power;
performing model transformation on a preset small signal analysis model to obtain a first dynamic equation when VSG input power is constant;
calculating a system damping torque coefficient according to a first dynamic equation, wherein the first dynamic equation is as follows:
Figure BDA0003662385560000021
H c is the inertial time constant, K, of the VSG control strategy c Damping control parameter, δ, for VSG control strategy c For the power angle of the system, Δ δ c Representing disturbances, ω, of the power angle of the system B For power frequency, K, of the power grid s For the synchronous torque coefficient, dt represents the derivative.
Preferably, the method for calculating the output power of the synchronous fan in the Maximum Power Point Tracking (MPPT) mode based on a preset active power output model of the synchronous fan in the fan grid-connected system comprises the following steps:
acquiring the mechanical power and the optimal tip speed ratio of the synchronous fan;
calculating the maximum theoretical input power of the synchronous fan according to the mechanical power and the optimal tip speed ratio;
and calculating the output power of the synchronous fan in the MPPT mode according to the maximum theoretical input power based on the corresponding relation between the input power and the output power.
Preferably, a third dynamic equation during system disturbance is generated based on the second dynamic equation of the VSC grid connection and the output power of the synchronous fan, and the third dynamic equation includes:
linearizing the second dynamic equation and the output power of the synchronous fan, and combining a preset small signal analysis model to obtain a system linearization state equation;
performing Laplace transform on the system linearization state equation to obtain a third dynamic equation during system disturbance, wherein the third dynamic equation is as follows:
Figure BDA0003662385560000031
H c is the inertial time constant, Δ ω, of the VSG control strategy c Representing the disturbance of the angular frequency of the VSC voltage, dt representing the derivative, K s For synchronizing the torque coefficients, Δ δ c Representing disturbances of the power angle of the system, K c Is a damping control parameter of the VSG control strategy, k is an MPPT control parameter, omega r For synchronising the rotor speed of the fan，H WT Is the inertia time constant, omega, of the wind turbine grid-connected system base Is the frequency reference value, s is the laplacian operator.
Preferably, determining the influence relationship between the system damping torque coefficient and the dynamic characteristics of the fan according to the system damping torque coefficient and a third dynamic equation comprises:
determining an influence relation between the system damping torque coefficient and the dynamic characteristic of the fan according to the system damping torque coefficient and a third dynamic equation, wherein the expression of the influence relation is as follows:
Figure BDA0003662385560000032
K c damping torque coefficient for the grid-connected system of the fan, K c Is a damping control parameter of the VSG control strategy, k is an MPPT control parameter, omega r For synchronizing the rotor speed of the fan, H WT Is the inertia time constant, K, of the wind turbine grid-connected system s For synchronizing the torque coefficients, ω B For mains frequency, H c Is the inertial time constant of the VSG control strategy.
Preferably, the stability parameters of the fan grid-connected system are analyzed based on the influence relationship, and the method comprises the following steps:
according to a preset relation among the steady-state quantities of the system, transforming the influence relation to obtain a target influence relation;
analyzing stability parameters of the fan grid-connected system according to a target influence relation, wherein the expression of the target influence relation is as follows:
Figure BDA0003662385560000041
Figure BDA0003662385560000042
n＝8H c ω B ·a
K c damping control for VSG control strategySystem parameter, k is MPPT control parameter, delta c Is the system power angle, H c Is the inertia time constant, H, of the VSG control strategy WT Is the inertia time constant, omega, of the wind turbine grid-connected system B And a represents a preset relation between steady-state quantities of the system for power frequency of the power grid.
Preferably, according to the target influence relationship, analyzing stability parameters of the fan grid-connected system, including:
performing partial derivative operation on the damping control parameters in the target influence relation to obtain first stability influence parameters of the damping control parameters on system damping torque coefficients of the fan grid-connected system;
and performing partial derivative operation on the system power angle in the first stability influence parameter to obtain a second stability influence parameter of the system power angle on a system damping torque coefficient of the fan grid-connected system.
In a second aspect, the present invention provides a stability analysis device for a wind turbine grid-connected system, including:
the system comprises a first determination module, a second determination module and a control module, wherein the first determination module is used for determining a system damping torque coefficient based on a first dynamic equation of VSC grid connection of a voltage source converter under a VSG control strategy of a voltage sag generator, and the first dynamic equation is used for representing a dynamic relation between a system power angle and a damping control parameter of the VSG control strategy;
the calculation module is used for calculating the output power of the synchronous fan in the Maximum Power Point Tracking (MPPT) mode based on a preset active power output model of the synchronous fan in the fan grid-connected system;
the generating module is used for generating a third dynamic equation during system disturbance based on a second dynamic equation of VSC grid connection and the output power of the synchronous fan, wherein the second dynamic equation is a system dynamic equation without considering the rotor rotation damping of the synchronous fan;
the second determining module is used for determining the influence relation between the system damping torque coefficient and the dynamic characteristic of the fan according to the system damping torque coefficient and a third dynamic equation;
and the analysis module is used for analyzing stability parameters of the fan grid-connected system based on the influence relationship, and the stability parameters are used for representing the stability influence degree on the system damping torque coefficient of the fan grid-connected system.
In a third aspect, the present invention provides a computer device, including a processor and a memory, where the memory is used to store a computer program, and the computer program, when executed by the processor, implements the stability analysis method of the wind turbine grid-connected system according to the first aspect.
In a fourth aspect, the present invention provides a computer-readable storage medium, which stores a computer program, and when the computer program is executed by a processor, the computer program implements the method for analyzing stability of a wind turbine grid-connected system according to the first aspect.
Compared with the prior art, the invention has the following beneficial effects:
according to the method, a damping torque coefficient of a fan grid-connected system is analytically deduced through a first dynamic equation, and a third dynamic equation is combined when the system is disturbed in an MPPT mode, so that the influence relation between the damping torque coefficient of the system and the dynamic characteristics of the fan is determined, key factors influencing the stability of the system in the dynamic characteristics of the fan are definitely analyzed, stability criteria in the dynamic state of the fan are provided for the fan grid-connected system, the system stability can be analyzed in the dynamic process of the fan, and finally, stability parameters of the fan grid-connected system are analyzed based on the influence relation, so that the influence of the dynamic characteristics of the fan on the system stability is quantized.
Drawings
Fig. 1 is a schematic flow chart illustrating stability analysis of a fan grid-connected system according to an embodiment of the present invention;
fig. 2 is a schematic diagram of a simulation system for controlling a permanent magnet synchronous fan to be connected to a grid according to an embodiment of the present invention;
fig. 3 is a schematic diagram illustrating a comparison result of a dynamic response of a permanent magnet synchronous fan grid-connected system controlled by a VSG based on MPPT and a VSC grid-connected system controlled by a VSG based on constant voltage power supply to a sudden change of a line parameter according to an embodiment of the present invention;
fig. 4 shows a MPPT-based VSG controlled permanent magnet synchronous fan grid-connected system relating to K c Root track changeSchematic diagram of the results of (1);
fig. 5 shows a VSG control permanent magnet synchronous fan grid-connected system based on MPPT according to an embodiment of the present invention with respect to δ c A result schematic of root trajectory changes;
fig. 6 is a schematic structural diagram of a stability analysis device of a fan grid-connected system according to an embodiment of the present invention;
fig. 7 is a schematic structural diagram of a computer device according to an embodiment of the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
Referring to fig. 1, fig. 1 is a schematic flow chart of a stability analysis method of a wind turbine grid-connected system according to an embodiment of the present invention. The stability analysis method of the fan grid-connected system can be applied to computer equipment, wherein the computer equipment comprises but is not limited to equipment such as a smart phone, a notebook computer, a tablet computer, a desktop computer, a physical server and a cloud server. As shown in fig. 1, the method for analyzing the stability of the wind turbine grid-connected system of the present embodiment includes steps S101 to S105, which are detailed as follows:
step S101, determining a system damping torque coefficient based on a first dynamic equation of VSC grid connection of a voltage source converter under a VSG control strategy of a voltage sag generator, wherein the first dynamic equation is used for representing a dynamic relation between a system power angle and damping control parameters of the VSG control strategy.
In this step, optionally, a preset small signal analysis model of the VSC grid-connection is obtained, where the preset small signal analysis model is used to represent a relationship between a VSC voltage phase, a VSC voltage angular frequency, and an active power of the VSC grid-connection; performing model transformation on the preset small signal analysis model to obtain the first dynamic equation when the VSG input power is constant; and calculating the system damping torque coefficient according to the first dynamic equation.
Illustratively, when only considering inertia support and damped oscillation performance of VSC grid connection, the VSC voltage phase delta is converted into the rotor motion equation of the traditional synchronous fan c Angular frequency omega of VSC voltage c The relationship with the active power is expressed as:
Figure BDA0003662385560000061
in the formula (1), ω B The power frequency of the power grid is 100p rad/s. Optionally, the other variables are each per unit values. Omega g For grid angular frequency, the grid frequency shift is generally not more than 1.6% during steady operation, so ω g May be 1.0 p.u..
Figure BDA0003662385560000071
And P c The mechanical input power and the electrical output power of the virtual synchronous fan are respectively; h c And K c The inertia time constant and damping control parameter for the VSG control, respectively, dt represents the derivative.
Under the condition of not considering loss, active power P of VSC grid connection c Can be expressed as:
Figure BDA0003662385560000072
in the formula (2), V c And V s Representing the voltage amplitude, X, of the VSC infinitely high-power bus ∑ The equivalent reactance is connected with the VSC alternating current side and the infinite high-power bus.
And (3) converting the formula (1) and the formula (2) into small signal expressions, and presetting a small signal analysis model as follows:
Figure BDA0003662385560000073
in the formula (3), δ c The position angle of the virtual rotor of the VSG is also a steady-state position angle of the VSG, namely a system power angle of VSC grid connection; Δ represents a small perturbation of the state variable. The input power of the VSG is constant, i.e. without taking into account the dynamics of the prime mover
Figure BDA0003662385560000074
Then according to the formula (3), the first dynamic equation of the available VSC grid connection is as follows:
Figure BDA0003662385560000075
in the formula (4), K s The synchronous torque coefficient may be specifically:
Figure BDA0003662385560000076
the system damping oscillation frequency can be obtained by solving according to the formula (4) in the step 1, and then a sufficiently small approximation error is set by utilizing a polynomial approximation method, so that the system damping torque coefficient can be obtained by calculation according to the synchronous torque coefficient and the system damping oscillation frequency.
Step S102, calculating output power of a synchronous fan in a Maximum Power Point Tracking (MPPT) mode based on a preset active power output model of the synchronous fan in a fan grid-connected system.
In the step, the mechanical power and the optimal tip speed ratio of the synchronous fan are obtained; calculating the maximum theoretical input power of the synchronous fan according to the mechanical power and the optimal tip speed ratio; and calculating the output power of the synchronous fan in the MPPT mode according to the maximum theoretical input power based on the corresponding relation between the input power and the output power.
Exemplarily, if the wind speed v w Less than rated wind speed v of fan rated The mechanical power captured by the wind generator is:
Figure BDA0003662385560000081
in the formula (6), the first and second groups,
Figure BDA0003662385560000082
inputting wind power for theory; omega r The rotating speed of the fan rotor; c p The wind energy utilization coefficient is related to the pitch angle beta and the blade tip speed ratio lambda; ρ is the air density, v w And R is the blade radius of the fan. At a certain wind speed, the optimum tip speed ratio lambda opt As shown in the following equation (7):
Figure BDA0003662385560000083
at this time, C p To a maximum value C pmax . Calculating the maximum theoretical input power P of the wind driven generator according to the formula (6) and the formula (7) wmax Comprises the following steps:
Figure BDA0003662385560000084
the VSG control of synchronous draught fan provides the grid-side converter rather than the generator-side converter with the active power reference value that MPPT found, specifically does:
Figure BDA0003662385560000085
in the formula (9), k is a maximum power point tracking control coefficient. According to the formula (1) and the formula (9), the output electromagnetic power of the synchronous fan adopting MPPT can be solved, and the method specifically comprises the following steps:
Figure BDA0003662385560000086
and S103, generating a third dynamic equation during system disturbance based on a second dynamic equation of VSC grid connection and the output power of the synchronous fan, wherein the second dynamic equation is a system dynamic equation without considering the rotor rotation damping of the synchronous fan.
In the step, the second dynamic equation and the output power of the synchronous fan are linearized, and a system linearization state equation is obtained by combining a preset small signal analysis model; and carrying out Laplace transform on the system linearization state equation to obtain the third dynamic equation when the system is disturbed.
Illustratively, the second dynamic equation of the wind turbine grid-connected system without considering the rotor rotation damping is as follows:
Figure BDA0003662385560000091
H WT is the inertia time constant of the wind turbine grid-connected system,
Figure BDA0003662385560000092
is the output electromagnetic power of the synchronous fan.
Neglecting DC voltage control dynamics and resistive losses and considering P wmax The method comprises the following steps of linearizing a formula (9) and a formula (11) with the wind power captured by a nearby fan unchanged, and combining the formula (3) to obtain a system linearization state equation considering the dynamic process of the fan, wherein the system linearization state equation specifically comprises the following steps:
Figure BDA0003662385560000093
by performing laplace transform on the formula (12), a third dynamic equation of the system during disturbance can be obtained as follows:
Figure BDA0003662385560000094
H c is the inertial time constant, Δ ω, of the VSG control strategy c Representing the disturbance of the angular frequency of the VSC voltage, dt representing the derivative, K s For synchronizing the torque coefficients, Δ δ c Indicating system workPerturbation of the angle, K c K is the MPPT control parameter, omega, for the damping control parameter of the VSG control strategy r For the rotor speed of the synchronous fan, H WT Is the inertia time constant, omega, of the wind turbine grid-connected system base Is the frequency reference value, s is the laplacian operator.
And step S104, determining an influence relation between the system damping torque coefficient and the dynamic characteristic of the fan according to the system damping torque coefficient and the third dynamic equation.
In this step, the system damped oscillation frequency ω can be solved according to the formula (4) in the step 1 d When s is equal to j ω d In the meantime, the expression of the influence relationship between the system damping torque coefficient and the dynamic characteristic of the fan, which can be obtained according to the formula (13), is as follows:
Figure BDA0003662385560000095
K c damping torque coefficient for the grid-connected system of the fan, K c K is the MPPT control parameter, omega, for the damping control parameter of the VSG control strategy r For the rotor speed of the synchronous fan, H WT Is the inertia time constant, K, of the wind turbine grid-connected system s For synchronizing the torque coefficients, ω B For mains frequency, H c Is the inertial time constant of the VSG control strategy.
And S105, analyzing stability parameters of the fan grid-connected system based on the influence relationship, wherein the stability parameters are used for representing the stability influence degree on a system damping torque coefficient of the fan grid-connected system.
In this step, optionally, the influence relationship is transformed according to a preset relationship between the system steady-state quantities to obtain a target influence relationship; and analyzing the stability parameters of the fan grid-connected system according to the target influence relation.
Illustratively, according to equation (1), equation (2), and equation (10), the relationship between the steady state quantities of the system can be obtained as follows:
Figure BDA0003662385560000101
combining equation (15) with equation (14), eliminating ω r And K s Establishing a damping torque coefficient with respect to K c And delta c Get the function f (K) c δ c), then the expression of the target influence relationship is:
Figure BDA0003662385560000102
wherein, the first and the second end of the pipe are connected with each other,
Figure BDA0003662385560000103
n＝8H c ω B ·a。
optionally, performing partial derivative operation on the damping control parameter in the target influence relationship to obtain a first stability influence parameter of the damping control parameter on a system damping torque coefficient of the wind turbine grid-connected system, specifically:
Figure BDA0003662385560000104
performing partial derivative operation on the system power angle in the first influence relationship to obtain a second stability influence parameter of the system power angle on a system damping torque coefficient of the fan grid-connected system, specifically:
Figure BDA0003662385560000105
by way of example and not limitation, the method for analyzing the stability of the synchronous wind turbine provided by the invention is subjected to simulation verification by using MATLAB through a simulation system as shown in FIG. 2. The simulation is performed by taking as an example a system shown in fig. 1 in which a permanent magnet synchronous wind turbine under VSG control (i.e. a synchronous wind turbine) is connected to an infinitesimal high power bus, wherein the wind turbine is a permanent magnet synchronous wind turbine PMSG-WT with an equivalent reactance of 0.2p.u., the PMSG-WT is connected to a VSC grid connected system via a feeder and is connected to a main network represented by a synchronous generator model SG via a PCC point (common connection point in the power system). Wherein the system parameters are designed as shown in the following table.
Figure BDA0003662385560000111
In this embodiment, the dynamic response of the MPPT-based VSG-controlled permanent magnet synchronous fan grid-connected system and the constant voltage source-supplied VSG-controlled VSC grid-connected system to the sudden change of the line parameter is shown in fig. 3.
Fig. 3(a) and (b) show the response of the power angle and the frequency of two grid-connected systems to disturbance respectively. It can be seen from comparative analysis that the rate of change of frequency of the first cycle of oscillation in frequency in both systems
Figure BDA0003662385560000112
Are substantially the same. But compared with a VSC system, the power angle and frequency oscillation amplitude of the fan system is larger, and the steady-state recovery time is longer. Fig. 3(c) shows the active power reference values for both systems. Active power reference for MPPT output due to variation of fan rotor speed near maximum power operating point during disturbance
Figure BDA0003662385560000113
Changed and connected to VSC system
Figure BDA0003662385560000121
Remain unchanged. Therefore, the dynamic characteristic of the fan weakens the damping oscillation capacity of the grid-connected fan system, the analysis method considering the influence of the dynamic characteristic of the fan is verified, and the method has obvious advantages compared with the traditional analysis method for the stability of the grid-connected fan system.
The method of the invention gives the analytic expression of the system damping torque coefficient considering the dynamic characteristic of the fan, and can analyze the VSG control parameter K c Sum system power angle delta c To damping torque coefficientThe influence of (c). In this embodiment, the blower system is about K c Is shown in fig. 4, the fan system is about delta c Is shown in fig. 5.
FIG. 4 shows the fan system of this embodiment with respect to K c The root track of (2). It can be seen that the system has three main feature roots. With K c Increasing from 0, poles 2 and 3 move to the left, indicating improved stability and dynamic performance of the system, and pole 1 has little movement, so it has good damping. The root locus curve intersects the imaginary axis, indicating that K is c When the value is taken in a certain range, the system is unstable. It can be seen that there is a minimum value K for the VSG damping control parameter cmin To ensure the small signal stability of the system. Therefore, the analysis result of the invention provides an effective reference for adjusting the VSG control parameter to improve the system stability.
In the present embodiment, for convenience of representation, the influence of dc (0) on the system damping is indirectly studied by changing PWM. Fan system about delta c The root locus of (a) is shown in fig. 5, which indicates that there are three dominant feature roots of the system that move with PWM changes. As the PWM increases from 0.2p.u. to 1p.u., poles 2 and 3 move to the right half-plane and pole 1 moves to the left half-plane. The overall system damping is reduced by the effect of conjugate complex roots 2 and 3 near the imaginary axis and therefore the performance is also degraded. When the PWM is 1p.u., the system loses stability because the root trajectory curve moves to the right half plane of the imaginary axis.
In order to execute the stability analysis method of the fan grid-connected system corresponding to the method embodiment, corresponding functions and technical effects are achieved. Referring to fig. 6, fig. 6 is a block diagram illustrating a structure of a stability analysis device of a wind turbine grid-connected system according to an embodiment of the present invention. For convenience of explanation, only the parts related to the embodiment are shown, and the stability analysis device of the wind turbine grid-connected system provided by the embodiment of the present invention includes:
the first determining module 601 is configured to determine a system damping torque coefficient based on a first dynamic equation of Voltage Source Converter (VSC) grid connection under a Voltage Sag Generator (VSG) control strategy, where the first dynamic equation is used to represent a dynamic relationship between a system power angle and a damping control parameter of the VSG control strategy;
the calculation module 602 is configured to calculate output power of a synchronous fan in a Maximum Power Point Tracking (MPPT) mode based on a preset active power output model of the synchronous fan in a fan grid-connected system;
the generation module 603 is configured to generate a third dynamic equation during system disturbance based on a second dynamic equation of VSC grid connection and the output power of the synchronous fan, where the second dynamic equation is a system dynamic equation without considering rotor rotation damping of the synchronous fan;
a second determining module 604, configured to determine an influence relationship between the system damping torque coefficient and a dynamic characteristic of the fan according to the system damping torque coefficient and the third dynamic equation;
and the analysis module 605 is configured to analyze a stability parameter of the fan grid-connected system based on the influence relationship, where the stability parameter is used to represent a stability influence degree on a system damping torque coefficient of the fan grid-connected system.
In an embodiment, the first determining module 601 is specifically configured to:
acquiring a preset small signal analysis model of the VSC grid connection, wherein the preset small signal analysis model is used for representing the relation among a VSC voltage phase, a VSC voltage angular frequency and the VSC grid connection active power;
performing model transformation on the preset small signal analysis model to obtain the first dynamic equation when the VSG input power is constant;
calculating the system damping torque coefficient according to the first dynamic equation, wherein the first dynamic equation is as follows:
Figure BDA0003662385560000131
H c is the inertial time constant, K, of the VSG control strategy c The damping control parameter, δ, for a VSG control strategy c For the power angle of the system, Δ δ c Interference representing power angle of systemMoving, omega B For power frequency, K, of the power grid s For the synchronous torque coefficient, dt represents the derivative.
In an embodiment, the calculating module 602 is specifically configured to:
acquiring the mechanical power and the optimal tip speed ratio of the synchronous fan;
calculating the maximum theoretical input power of the synchronous fan according to the mechanical power and the optimal tip speed ratio;
and calculating the output power of the synchronous fan in the MPPT mode according to the maximum theoretical input power based on the corresponding relation between the input power and the output power.
In an embodiment, the generating module 603 is specifically configured to:
linearizing the second dynamic equation and the output power of the synchronous fan, and combining a preset small signal analysis model to obtain a system linearization state equation;
performing laplace transform on the system linearization state equation to obtain the third dynamic equation during system disturbance, wherein the third dynamic equation is as follows:
Figure BDA0003662385560000141
H c is the inertial time constant, Δ ω, of the VSG control strategy c Representing the disturbance of the angular frequency of the VSC voltage, dt representing the derivative, K s For synchronizing the torque coefficients, Δ δ c Representing disturbances of the power angle of the system, K c K is the MPPT control parameter, omega, for the damping control parameter of the VSG control strategy r For the rotor speed of the synchronous fan, H WT Is the inertia time constant, omega, of the wind turbine grid-connected system base Is the frequency reference value, s is the laplacian operator.
In an embodiment, the second determining module 604 is specifically configured to:
determining an influence relation between the system damping torque coefficient and the dynamic characteristics of the fan according to the system damping torque coefficient and the third dynamic equation, wherein the expression of the influence relation is as follows:
Figure BDA0003662385560000142
K c damping torque coefficient for the grid-connected system of the fan, K c K is the MPPT control parameter, omega, for the damping control parameter of the VSG control strategy r For the rotor speed of the synchronous fan, H WT Is the inertia time constant, K, of the wind turbine grid-connected system s For synchronizing the torque coefficients, ω B For the mains frequency, H c Is the inertial time constant of the VSG control strategy.
In one embodiment, the analysis module 605 includes:
the transformation unit is used for transforming the influence relation according to the preset relation among the system steady-state quantities to obtain a target influence relation;
and the analysis unit is used for analyzing the stability parameters of the fan grid-connected system according to the target influence relationship, wherein the expression of the target influence relationship is as follows:
Figure BDA0003662385560000143
Figure BDA0003662385560000151
n＝8H c ω B ·a
K c k is the MPPT control parameter, δ, of the damping control parameter for the VSG control strategy c For the power angle of the system, H c Is the inertia time constant, H, of the VSG control strategy WT Is the inertia time constant, omega, of the wind turbine grid-connected system B And a represents a preset relation between steady-state quantities of the system for power frequency of the power grid.
In an embodiment, the analysis unit is specifically configured to:
performing partial derivative operation on the damping control parameters in the target influence relation to obtain first stability influence parameters of the damping control parameters on system damping torque coefficients of the fan grid-connected system;
and performing partial derivative operation on the system power angle in the first stability influence parameter to obtain a second stability influence parameter of the system power angle on a system damping torque coefficient of the fan grid-connected system.
The stability analysis device of the fan grid-connected system can implement the stability analysis method of the fan grid-connected system of the embodiment of the method. The alternatives in the above-described method embodiments are also applicable to this embodiment and will not be described in detail here. The rest of the embodiments of the present invention may refer to the contents of the above method embodiments, and in this embodiment, details are not repeated.
Fig. 7 is a schematic structural diagram of a computer device according to an embodiment of the present invention. As shown in fig. 7, the computer device 7 of this embodiment includes: at least one processor 70 (only one shown in fig. 7), a memory 71, and a computer program 72 stored in the memory 71 and executable on the at least one processor 70, the processor 70 implementing the steps of any of the method embodiments described above when executing the computer program 72.
The computer device 7 may be a computing device such as a smart phone, a tablet computer, a desktop computer, and a cloud server. The computer device may include, but is not limited to, a processor 70, a memory 71. Those skilled in the art will appreciate that fig. 7 is merely an example of the computer device 7, and does not constitute a limitation of the computer device 7, and may include more or less components than those shown, or combine some of the components, or different components, such as input output devices, network access devices, etc.
The Processor 70 may be a Central Processing Unit (CPU), and the Processor 70 may be other general purpose Processor, a Digital Signal Processor (DSP), an Application Specific Integrated Circuit (ASIC), an off-the-shelf Programmable Gate Array (FPGA) or other Programmable logic device, discrete Gate or transistor logic, discrete hardware components, etc. A general purpose processor may be a microprocessor or the processor may be any conventional processor or the like.
The memory 71 may in some embodiments be an internal storage unit of the computer device 7, such as a hard disk or a memory of the computer device 7. The memory 71 may also be an external storage device of the computer device 7 in other embodiments, such as a plug-in hard disk, a Smart Media Card (SMC), a Secure Digital (SD) Card, a Flash memory Card (Flash Card), etc. provided on the computer device 7. Further, the memory 71 may also include both an internal storage unit and an external storage device of the computer device 7. The memory 71 is used for storing an operating system, an application program, a BootLoader (BootLoader), data, and other programs, such as program codes of the computer program. The memory 71 may also be used to temporarily store data that has been output or is to be output.
In addition, an embodiment of the present invention further provides a computer-readable storage medium, where a computer program is stored, and when the computer program is executed by a processor, the computer program implements the steps in any of the method embodiments described above.
Embodiments of the present invention provide a computer program product, which when running on a computer device, enables the computer device to implement the steps in the above method embodiments when executed.
In several embodiments provided by the present invention, it will be understood that each block in the flowchart or block diagrams may represent a module, segment, or portion of code, which comprises one or more executable instructions for implementing the specified logical function(s). It should also be noted that, in some alternative implementations, the functions noted in the block may occur out of the order noted in the figures. For example, two blocks shown in succession may, in fact, be executed substantially concurrently, or the blocks may sometimes be executed in the reverse order, depending upon the functionality involved.
The functions may be stored in a computer-readable storage medium when they are implemented in the form of software functional modules and sold or used as separate products. Based on such understanding, the technical solution of the present invention may be embodied in the form of a software product, which is stored in a storage medium and includes instructions for causing a computer device to execute all or part of the steps of the method according to the embodiments of the present invention. And the aforementioned storage medium includes: a U-disk, a removable hard disk, a Read-Only Memory (ROM), a Random Access Memory (RAM), a magnetic disk or an optical disk, and other various media capable of storing program codes.
The above-mentioned embodiments are provided to further explain the objects, technical solutions and advantages of the present invention in detail, and it should be understood that the above-mentioned embodiments are only examples of the present invention and are not intended to limit the scope of the present invention. It should be understood that any modifications, equivalents, improvements and the like, which come within the spirit and principle of the invention, may occur to those skilled in the art and are intended to be included within the scope of the invention.

Claims (10)

1. A stability analysis method of a fan grid-connected system is characterized by comprising the following steps:
determining a system damping torque coefficient based on a first dynamic equation of VSC grid connection of a voltage source converter under a VSG control strategy of a voltage sag generator, wherein the first dynamic equation is used for representing a dynamic relation between a system power angle and a damping control parameter of the VSG control strategy;
calculating the output power of a synchronous fan in a Maximum Power Point Tracking (MPPT) mode based on a preset active power output model of the synchronous fan in a fan grid-connected system;
generating a third dynamic equation during system disturbance based on a second dynamic equation of VSC grid connection and the output power of the synchronous fan, wherein the second dynamic equation is a system dynamic equation without considering the rotor rotation damping of the synchronous fan;
determining an influence relation between the system damping torque coefficient and the dynamic characteristics of the fan according to the system damping torque coefficient and the third dynamic equation;
and analyzing the stability parameter of the fan grid-connected system based on the influence relationship, wherein the stability parameter is used for representing the stability influence degree on the system damping torque coefficient of the fan grid-connected system.
2. The method for analyzing the stability of the wind turbine grid-connected system according to claim 1, wherein the determining a system damping torque coefficient based on a first dynamic equation of voltage source converter VSC grid connection under a voltage sag generator VSG control strategy comprises:
acquiring a preset small signal analysis model of the VSC grid connection, wherein the preset small signal analysis model is used for representing the relation among a VSC voltage phase, a VSC voltage angular frequency and the VSC grid connection active power;
performing model transformation on the preset small signal analysis model to obtain the first dynamic equation when the VSG input power is constant;
calculating the system damping torque coefficient according to the first dynamic equation, wherein the first dynamic equation is as follows:
Figure FDA0003662385550000011
H c inertia time constant, K, for VSG control strategy c The damping control parameter, δ, for a VSG control strategy c For the power angle of the system, Δ δ c Representing disturbances, ω, of the power angle of the system B For power frequency, K, of the power grid s For the synchronous torque coefficient, dt represents the derivative.
3. The fan grid-connected system stability analysis method according to claim 1, wherein the calculating the output power of the synchronous fan in the MPPT mode based on a preset active power output model of the synchronous fan in the fan grid-connected system includes:
acquiring the mechanical power and the optimal tip speed ratio of the synchronous fan;
calculating the maximum theoretical input power of the synchronous fan according to the mechanical power and the optimal tip speed ratio;
and calculating the output power of the synchronous fan in the MPPT mode according to the maximum theoretical input power based on the corresponding relation between the input power and the output power.
4. The fan grid-connected system stability analysis method according to claim 1, wherein the generating a third dynamic equation during system disturbance based on the second dynamic equation of the VSC grid-connection and the output power of the synchronous fan includes:
linearizing the second dynamic equation and the output power of the synchronous fan, and combining a preset small signal analysis model to obtain a system linearization state equation;
performing laplace transform on the system linearization state equation to obtain the third dynamic equation during system disturbance, wherein the third dynamic equation is as follows:
Figure FDA0003662385550000021
H c is the inertial time constant, Δ ω, of the VSG control strategy c Representing the disturbance of the angular frequency of the VSC voltage, dt representing the derivative, K s For synchronizing the torque coefficients, Δ δ c Representing disturbances of the power angle of the system, K c K is the MPPT control parameter, omega, for the damping control parameter of the VSG control strategy r For the rotor speed of the synchronous fan, H WT Is the inertia time constant, omega, of the wind turbine grid-connected system base Is the frequency reference value, s is the laplacian operator.
5. The method for analyzing the stability of the wind turbine grid-connected system according to claim 1, wherein the determining the influence relationship between the system damping torque coefficient and the dynamic characteristics of the wind turbine according to the system damping torque coefficient and the third dynamic equation comprises:
determining an influence relation between the system damping torque coefficient and the dynamic characteristics of the fan according to the system damping torque coefficient and the third dynamic equation, wherein the expression of the influence relation is as follows:
Figure FDA0003662385550000031
K c ′ damping torque coefficient, K, for a grid-connected system of fans c K is the MPPT control parameter, ω is the damping control parameter of the VSG control strategy r For the rotor speed of the synchronous fan, H WT Is the inertia time constant, K, of the wind turbine grid-connected system s For synchronizing the torque coefficients, ω B For mains frequency, H c Is the inertial time constant of the VSG control strategy.
6. The method for analyzing the stability of the fan grid-connected system according to claim 1, wherein the analyzing the stability parameter of the fan grid-connected system based on the influence relationship includes:
according to a preset relation among the steady-state quantities of the system, transforming the influence relation to obtain a target influence relation;
analyzing stability parameters of the fan grid-connected system according to the target influence relationship, wherein the expression of the target influence relationship is as follows:
Figure FDA0003662385550000032
Figure FDA0003662385550000033
n＝8H c ω B ·a；
K c k is the MPPT control parameter, δ, of the damping control parameter for the VSG control strategy c For the power angle of the system, H c Is the inertia time constant, H, of the VSG control strategy WT Is the inertia time constant, omega, of the wind turbine grid-connected system B And a represents a preset relation between steady-state quantities of the system for power frequency of the power grid.
7. The method for analyzing the stability of the fan grid-connected system according to claim 6, wherein the analyzing the stability parameters of the fan grid-connected system according to the target influence relationship includes:
performing partial derivative operation on the damping control parameters in the target influence relation to obtain first stability influence parameters of the damping control parameters on system damping torque coefficients of the fan grid-connected system;
and performing partial derivative operation on the system power angle in the first stability influence parameter to obtain a second stability influence parameter of the system power angle on a system damping torque coefficient of the fan grid-connected system.
8. The utility model provides a stability analysis device of fan grid-connected system which characterized in that includes:
the system comprises a first determination module, a second determination module and a control module, wherein the first determination module is used for determining a system damping torque coefficient based on a first dynamic equation of VSC grid connection of a voltage source converter under a VSG control strategy of a voltage sag generator, and the first dynamic equation is used for representing a dynamic relation between a system power angle and a damping control parameter of the VSG control strategy;
the calculation module is used for calculating the output power of the synchronous fan in the Maximum Power Point Tracking (MPPT) mode based on a preset active power output model of the synchronous fan in the fan grid-connected system;
the generating module is used for generating a third dynamic equation during system disturbance based on a second dynamic equation of VSC grid connection and the output power of the synchronous fan, wherein the second dynamic equation is a system dynamic equation without considering the rotor rotation damping of the synchronous fan;
the second determining module is used for determining the influence relation between the system damping torque coefficient and the dynamic characteristic of the fan according to the system damping torque coefficient and the third dynamic equation;
and the analysis module is used for analyzing the stability parameter of the fan grid-connected system based on the influence relation, wherein the stability parameter is used for representing the stability influence degree on the system damping torque coefficient of the fan grid-connected system.
9. A computer device, characterized by comprising a processor and a memory for storing a computer program, which when executed by the processor implements the method for stability analysis of a wind turbine grid connection system according to any one of claims 1 to 7.
10. A computer-readable storage medium, storing a computer program, which when executed by a processor, implements the method for analyzing stability of a wind turbine grid-connected system according to any one of claims 1 to 7.
CN202210579772.XA 2022-05-25 2022-05-25 Stability analysis method, device, equipment and medium for fan grid-connected system Pending CN114841606A (en)

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