CN114362206A - Method and device for wind turbine generator to participate in frequency modulation of power system under zero-standby condition - Google Patents
Method and device for wind turbine generator to participate in frequency modulation of power system under zero-standby condition Download PDFInfo
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Abstract
The invention discloses a method and a device for a wind power generation unit to participate in frequency modulation of a power system under a zero-standby condition, wherein the method comprises the following steps: under the condition of zero standby, establishing an association model of the wind turbine generator and the synchronous machine; the correlation model comprises a fan power equation and a multi-term parameter equation; linearizing the polynomial parameter equation in the correlation model, and obtaining the transfer model about the power change of the wind turbine generator and the frequency change of the power system by combining the fan power equation; carrying out inverse Laplace transformation after reducing the order of the transfer model to obtain the lowest frequency point of the power system; and calculating the sensitivity of the droop coefficient of the frequency controller according to the lowest frequency point, and changing the parameter value of the frequency modulation controller by combining the sensitivity. By adopting the embodiment of the invention, the quantitative relation between the lowest point of the power system frequency and the fan frequency controller parameter is determined, so that the controller parameter is reasonably adjusted and designed, and the frequency of the power system is quantitatively and stably regulated and controlled.
Description
Technical Field
The invention relates to the technical field of fan power generation, in particular to a method and a device for a wind turbine generator to participate in frequency modulation of a power system under a zero-standby condition.
Background
In recent years, the large-scale access of the fan enables the integral inertia level of a power system to be reduced, and the problem of frequency stability is increasingly prominent, so that the frequency modulation capability of the fan is widely concerned. At present, two main modes of participating in frequency modulation are available for a fan: the first is a standby mode, in which the wind turbine is operated in a load shedding state by overspeed load shedding or pitch angle load shedding, and the frequency is supported by releasing standby power when the frequency fluctuates. The second is a zero standby mode, in which the fan operates in MPPT mode to provide frequency support by releasing rotor kinetic energy. In the two modes, the frequency of a fan grid-connected point is monitored, and when the frequency fluctuation is monitored, the frequency controller of the fan is started, so that a component related to the system frequency is added to the output power of the fan, and the fan responds to the change of the system frequency.
However, most of the current research on the additional frequency controller is based on a simulation method, and only the improvement of the frequency controller on the system frequency response can be qualitatively analyzed, and the value range of the controller parameter cannot be determined according to the quantitative relation between the system frequency response and the controller parameter. The inability to accurately quantify the adjustments means that the reserve energy of rotor motion is not used properly and the frequency modulation capability provided to the power system is not stable.
Disclosure of Invention
The embodiment of the invention provides a method and a device for a wind turbine generator to participate in frequency modulation of a power system under a zero-standby condition, which are used for determining the quantitative relation between the lowest point of the frequency of the power system and the parameters of a fan frequency controller, further reasonably adjusting and designing the parameters of the controller and quantitatively and stably regulating and controlling the frequency of the power system.
In order to achieve the above object, a first aspect of the embodiments of the present application provides a method for a wind turbine generator to participate in frequency modulation of a power system under a zero-standby condition, where the method includes:
under the condition of zero standby, establishing an association model of the wind turbine generator and the synchronous machine; the correlation model comprises a fan power equation and a multi-term parameter equation;
linearizing the polynomial parameter equation in the correlation model, and obtaining the transfer model about the power change of the wind turbine generator and the frequency change of the power system by combining the fan power equation;
carrying out inverse Laplace transformation after reducing the order of the transfer model to obtain the lowest frequency point of the power system;
and calculating the sensitivity of the droop coefficient of the frequency controller according to the lowest frequency point, and changing the parameter value of the frequency modulation controller by combining the sensitivity so as to change the lowest frequency point of the power system.
In a possible implementation manner of the first aspect, the association model specifically includes:
PWT＝Cωr 3-KWTΔf；
where s is a unique symbol for performing laplace transform, i.e., an s-domain variable, HGAnd HWIs the inertia time constant, R, of the synchronous generator and the fan, respectivelyGIs the difference coefficient of prime mover, FHIs the turbine reheat constant, TRIs the reheat time constant, PM，PWT，PLAnd PwindRespectively the power of synchronizer, the output power of fan, the system load and the mechanical power of fan, C is the MPPT power constant, f is omegarRespectively the frequency of the power system and the rotational speed of the wind turbine, KWTIs the fan frequency droop coefficient.
In a possible implementation manner of the first aspect, performing inverse laplace transform after reducing the order of the transfer model to obtain the frequency lowest point of the power system specifically includes:
fitting a non-dominant pole of a transfer function in the transfer model, and removing terms containing the non-dominant pole to obtain a reduced-order transfer model;
and carrying out inverse Laplace transform on the transfer model to obtain the lowest frequency point of the power system.
In a possible implementation manner of the first aspect, the transfer model related to the power change of the wind turbine generator and the frequency change of the power system specifically includes:
wherein the content of the first and second substances,
A second aspect of the embodiments of the present application provides a wind turbine generator system participating in a power system frequency modulation device under a zero-standby condition, including:
the correlation establishing module is used for establishing a correlation model of the wind turbine generator and the synchronous machine under the zero standby condition; the correlation model comprises a fan power equation and a multi-term parameter equation;
the linear optimization module is used for linearizing the polynomial parameter equation in the correlation model and obtaining the transfer model about the power change of the wind turbine generator and the frequency change of the power system by combining the fan power equation;
the order-reducing transformation module is used for carrying out inverse Laplace transformation on the transmission model after order reduction to obtain the lowest frequency point of the power system;
and the parameter confirmation module is used for calculating the sensitivity of the droop coefficient of the frequency controller according to the lowest frequency point, and changing the parameter value of the frequency modulation controller by combining the sensitivity so as to change the lowest frequency point of the power system.
In a possible implementation manner of the second aspect, the association model specifically includes:
PWT＝Cωr 3-KWTΔf；
where s is a unique symbol for performing laplace transform, i.e., an s-domain variable, HGAnd HWIs the inertia time constant, R, of the synchronous generator and the fan, respectivelyGIs the difference coefficient of prime mover, FHIs the turbine reheat constant, TRIs the reheat time constant, PM，PWT，PLAnd PwindRespectively the synchronous machine power, the wind turbine generator output power, the system load and the fan mechanical power, C is the MPPT power constant, f and omegarRespectively the frequency of the power system and the rotational speed of the wind turbine, KWTIs the fan frequency droop coefficient.
In a possible implementation manner of the second aspect, the reduced order transform module specifically includes:
fitting a non-dominant pole of a transfer function in the transfer model, and removing terms containing the non-dominant pole to obtain a reduced-order transfer model;
and carrying out inverse Laplace transform on the transfer model to obtain the lowest frequency point of the power system.
In a possible implementation manner of the second aspect, the transfer model about the wind turbine power variation and the power system frequency variation is specifically:
wherein the content of the first and second substances,
Compared with the prior art, the method and the device for the wind power generation set to participate in the frequency modulation of the power system under the zero standby condition provided by the embodiment of the invention have the advantages that firstly, a fan and synchronous machine correlation model is established, a transfer function between power variation and system frequency variation in a fan MPPT mode is obtained through a simultaneous fan and synchronous machine equation, the frequency response transfer function is reduced by adopting a method of neglecting a non-dominant pole, the lowest frequency point is calculated through inverse Laplace transformation of the reduced transfer function, the quantitative relation between the lowest frequency point of the power system and the fan frequency controller parameter is determined, the value of the controller parameter is obtained according to the relation, the fan power is quantitatively changed, the lowest frequency point of the power system is further improved, and the frequency stability of the power system is ensured.
Drawings
Fig. 1 is a schematic flow chart of a method for a wind turbine generator to participate in frequency modulation of a power system under a zero-standby condition according to an embodiment of the present invention;
FIG. 2 is a diagram of an electrical power system topology used in simulation in accordance with an embodiment of the present invention;
fig. 3 is a graph of sensitivity of a lowest point of a power system frequency to parameters of a frequency modulation controller 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, an embodiment of the present invention provides a method for a wind turbine generator to participate in frequency modulation of a power system under a zero-standby condition, where the method includes:
s10, under the condition of zero standby, establishing an association model of the wind turbine generator and the synchronous machine; the correlation model comprises a fan power equation and a multi-term parameter equation.
S11, linearizing the polynomial parameter equation in the correlation model, and combining the fan power equation to obtain the transfer model about the wind turbine generator power change and the power system frequency change.
And S12, performing inverse Laplace transform after reducing the order of the transfer model to obtain the lowest frequency point of the power system.
And S13, calculating the sensitivity of the droop coefficient of the frequency controller according to the lowest frequency point, and changing the parameter value of the frequency modulation controller by combining the sensitivity so as to change the lowest frequency point of the power system.
And quantitatively calculating the lowest point of the system frequency when the air conditioner participates in frequency modulation, establishing an analytical relation between the lowest point of the system frequency and the parameters of the controller, and accurately giving the value range of the parameters of the frequency modulation controller according to the relation. Of course, the above operation flow may be implemented in other manners as long as it is ensured that the steps S10 to S12 can be completely operated.
Compared with the prior art, the method and the device for the wind power generation set to participate in the frequency modulation of the power system under the zero standby condition provided by the embodiment of the invention have the advantages that firstly, a fan and synchronous machine correlation model is established, a transfer function between power variation and system frequency variation in a fan MPPT mode is obtained through a simultaneous fan and synchronous machine equation, the frequency response transfer function is reduced by adopting a method of neglecting a non-dominant pole, the lowest frequency point is calculated through inverse Laplace transformation of the reduced transfer function, the quantitative relation between the lowest frequency point of the power system and the fan frequency controller parameter is determined, the value of the controller parameter is obtained according to the relation, the fan power is quantitatively changed, the lowest frequency point of the power system is further improved, and the frequency stability of the power system is ensured.
Illustratively, the association model specifically includes:
PWT＝Cωr 3-KWTΔf (4)
where s is a unique symbol for performing laplace transform, i.e., an s-domain variable, HGAnd HWIs the inertia time constant, R, of the synchronous generator and the fan, respectivelyGIs the difference coefficient of prime mover, FHIs the turbine reheat constant, TRIs the reheat time constant, PM，PWT，PLAnd PwindRespectively the power of synchronizer, the output power of fan, the system load and the mechanical power of fan, C is the MPPT power constant, f is omegarRespectively the frequency of the power system and the rotational speed of the wind turbine, KWTIs the fan frequency droop coefficient.
Specifically, the fan and synchronous machine equations are first linearized near the equilibrium point:
2HGsΔf＝ΔPM+ΔPWT-ΔPL (5)
2HWωr0sΔωr＝ΔPwind-ΔPWT (6)
ΔPWT＝3Cωr0 2-KWTΔf (7)
exemplarily, further combining the vertical types (2), (5), (6) and (7) to obtain a specific transfer model:
wherein
ωr0Is the rotational speed of the wind turbine at the equilibrium point.
Exemplarily, the order reduction of the transfer model and the inverse laplace transform are performed to obtain the frequency lowest point of the power system, and specifically includes:
fitting a non-dominant pole of a transfer function in the transfer model, and removing terms containing the non-dominant pole to obtain a reduced-order transfer model;
and carrying out inverse Laplace transform on the transfer model to obtain the lowest frequency point of the power system.
Specifically, the non-dominant pole of the transfer function in equation (8) is fitted to:
-p1＝-1.05-0.131KWT (10)
equation (8) can be written as:
and (3) removing terms containing the non-dominant pole in the formula (11) to obtain a reduced-order system frequency response model:
wherein the content of the first and second substances,
s4, performing inverse Laplace transform on the reduced order transfer function obtained in the S3, and calculating the lowest point of the system frequency;
specifically, the expression for the frequency nadir is:
wherein the content of the first and second substances,
wherein, Δ fnadirThe amount of frequency change at the lowest point of frequency, a, b, c, p1Are constants determined by parameters of the fan and the synchronous machine.
In practical applications, the frequency modulation method of the above embodiment may be verified by simulation with reference to fig. 2: in the simulation process, disturbance is applied to the load of the power system, the terminal frequency of the synchronous machine is observed, the lowest point of the system frequency is further obtained and compared with the calculation result of the frequency modulation method provided by the embodiment, and therefore accuracy is verified.
Referring to fig. 3, fig. 3 is a graph of the sensitivity of the lowest point of the power system frequency to the fm controller parameter, where the sensitivity is positive, illustrating that increasing the controller parameter has a boosting effect on the lowest point of the system frequency. The sensitivity value is monotonically decreased along with the increase of the controller parameter, when the controller parameter is increased to 40, the sensitivity value is reduced to be below 0.001, and at the moment, the effect of increasing the controller parameter on the lifting of the lowest point of the frequency is limited, so that the reasonable value range of the controller parameter is 10-40.
The embodiment provides a synchronous machine rotor motion equation and a fan power equation under the MPPT, the frequency response relation of the electric power system with the fan participating in the frequency modulation under the MPPT is deduced on the basis of a plurality of equations, the order reduction is carried out by neglecting a non-dominant pole of a model transfer function, the lowest point of the electric power system frequency is calculated according to an order reduction model, the analytic relation between the lowest point of the frequency and the frequency modulation controller parameter is provided, and the reasonable value range of the controller parameter is provided according to the relation. The whole frequency modulation process does not need to be simulated in real time all the time, the analytical expression of the lowest point of the system frequency is directly obtained, the value range of the parameter of the frequency modulation controller can be determined from a quantitative angle, and an important practical basis is provided for the fan to participate in the system frequency modulation under the zero standby condition.
The embodiment of the application provides a wind turbine generator system participates in power system frequency modulation device under zero standby condition, includes: the device comprises an association establishing module, a linear optimization module, a reduced order transformation module and a parameter confirmation module.
The correlation establishing module is used for establishing a correlation model of the wind turbine generator and the synchronous machine under the zero standby condition; the correlation model comprises a fan power equation and a multi-term parameter equation.
And the linear optimization module is used for linearizing the polynomial parameter equation in the correlation model and obtaining the transfer model related to the power change of the wind turbine generator and the frequency change of the power system by combining the fan power equation.
And the order reduction transformation module is used for carrying out inverse Laplace transformation on the transmission model after order reduction to obtain the lowest frequency point of the power system.
And the parameter confirmation module is used for calculating the sensitivity of the droop coefficient of the frequency controller according to the lowest frequency point, and changing the parameter value of the frequency modulation controller by combining the sensitivity so as to change the lowest frequency point of the power system.
Illustratively, the association model specifically includes:
PWT＝Cωr 3-KWTΔf；
where s is a unique symbol for performing laplace transform, i.e., an s-domain variable, HGAnd HWIs the inertia time constant, R, of the synchronous generator and the fan, respectivelyGIs the difference coefficient of prime mover, FHIs the turbine reheat constant, TRIs the reheat time constant, PM，PWT，PLAnd PwindRespectively the synchronous machine power, the wind turbine generator output power, the system load and the fan mechanical power, C is the MPPT power constant, f and omegarRespectively the frequency of the power system and the rotational speed of the wind turbine, KWTIs the fan frequency droop coefficient.
Illustratively, the reduced order transform module specifically includes:
fitting a non-dominant pole of a transfer function in the transfer model, and removing terms containing the non-dominant pole to obtain a reduced-order transfer model;
and carrying out inverse Laplace transform on the transfer model to obtain the lowest frequency point of the power system.
Illustratively, the central frequency equation is an expression of a relationship between a central frequency of the wind turbine group and a wind turbine inertia, and specifically includes:
wherein the content of the first and second substances,
Compared with the prior art, the frequency modulation device for the wind power generation set to participate in the power system under the zero standby condition provided by the embodiment of the invention comprises the steps of firstly establishing a fan and synchronous machine correlation model, obtaining a transfer function between power variation and system frequency variation in a fan MPPT mode through a simultaneous fan and synchronous machine equation, reducing the frequency response transfer function by adopting a method of neglecting a non-dominant pole, calculating the lowest frequency point through inverse Laplace transformation of the reduced transfer function, determining the quantitative relation between the lowest frequency point of the power system and the fan frequency controller parameter, obtaining the value of the controller parameter according to the relation, quantitatively changing the fan power, further improving the lowest frequency point of the power system, and ensuring the stable frequency of the power system.
While the foregoing is directed to the preferred embodiment of the present invention, it will be understood by those skilled in the art that various changes and modifications may be made without departing from the spirit and scope of the invention.
Claims (8)
1. A method for enabling a wind turbine generator to participate in frequency modulation of a power system under a zero-standby condition is characterized by comprising the following steps:
under the condition of zero standby, establishing an association model of the wind turbine generator and the synchronous machine; the correlation model comprises a fan power equation and a multi-term parameter equation;
linearizing the polynomial parameter equation in the correlation model, and obtaining the transfer model about the power change of the wind turbine generator and the frequency change of the power system by combining the fan power equation;
carrying out inverse Laplace transformation after reducing the order of the transfer model to obtain the lowest frequency point of the power system;
and calculating the sensitivity of the droop coefficient of the frequency controller according to the lowest frequency point, and changing the parameter value of the frequency modulation controller by combining the sensitivity so as to change the lowest frequency point of the power system.
2. The method according to claim 1, wherein the correlation model specifically comprises:
PWT＝Cωr 3-KWTΔf；
where s is a unique symbol for performing laplace transform, i.e., an s-domain variable, HGAnd HWIs the inertia time constant, R, of the synchronous generator and the fan, respectivelyGIs the difference coefficient of prime mover, FHIs the turbine reheat constant, TRIs the reheat time constant, PM，PWT，PLAnd PwindRespectively the power of synchronizer, the output power of fan, the system load and the mechanical power of fan, C is the MPPT power constant, f is omegarRespectively the frequency of the power system and the rotational speed of the wind turbine, KWTIs the fan frequency droop coefficient.
3. The method according to claim 1, wherein the step-down of the transfer model is followed by inverse laplace transform to obtain the lowest frequency point of the power system, and the method specifically comprises:
fitting a non-dominant pole of a transfer function in the transfer model, and removing terms containing the non-dominant pole to obtain a reduced-order transfer model;
and carrying out inverse Laplace transform on the transfer model to obtain the lowest frequency point of the power system.
4. The method for the wind turbine generator to participate in the frequency modulation of the power system under the zero-standby condition according to claim 2, wherein the transfer model about the power variation of the wind turbine generator and the frequency variation of the power system specifically comprises:
wherein the content of the first and second substances,
5. The utility model provides a wind turbine generator system participates in electric power system frequency modulation device under zero standby condition which characterized in that includes:
the correlation establishing module is used for establishing a correlation model of the wind turbine generator and the synchronous machine under the zero standby condition; the correlation model comprises a fan power equation and a multi-term parameter equation;
the linear optimization module is used for linearizing the polynomial parameter equation in the correlation model and obtaining the transfer model about the power change of the wind turbine generator and the frequency change of the power system by combining the fan power equation;
the order-reducing transformation module is used for carrying out inverse Laplace transformation on the transmission model after order reduction to obtain the lowest frequency point of the power system;
and the parameter confirmation module is used for calculating the sensitivity of the droop coefficient of the frequency controller according to the lowest frequency point, and changing the parameter value of the frequency modulation controller by combining the sensitivity so as to change the lowest frequency point of the power system.
6. The device for modulating the frequency of a wind power generation system according to claim 5, wherein the correlation model specifically comprises:
PWT＝Cωr 3-KWTΔf；
where s is a unique symbol for performing laplace transform, i.e., an s-domain variable, HGAnd HWIs the inertia time constant, R, of the synchronous generator and the fan, respectivelyGIs the difference coefficient of prime mover, FHIs the turbine reheat constant, TRIs the reheat time constant, PM，PWT，PLAnd PwindRespectively the synchronous machine power, the wind turbine generator output power, the system load and the fan mechanical power, C is the MPPT power constant, f and omegarRespectively the frequency of the power system and the rotational speed of the wind turbine, KWTIs the fan frequency droop coefficient.
7. The device for modulating the frequency of a wind power generation system according to claim 5, wherein the step-down conversion module specifically comprises:
fitting a non-dominant pole of a transfer function in the transfer model, and removing terms containing the non-dominant pole to obtain a reduced-order transfer model;
and carrying out inverse Laplace transform on the transfer model to obtain the lowest frequency point of the power system.
8. The device for modulating the frequency of a wind turbine generator participating in a power system under the zero-standby condition according to claim 6, wherein the transfer model of the power change of the wind turbine generator and the frequency change of the power system specifically comprises:
wherein the content of the first and second substances,
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