CN112072692A - Impedance equivalence method and device for new energy power generation station - Google Patents
Impedance equivalence method and device for new energy power generation station Download PDFInfo
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Abstract
The invention relates to an impedance equivalence method and device for a new energy power generation station, which comprises the following steps: respectively equating the new energy power generation station to be an equivalent circuit of the new energy power generation station under the original frequency and an equivalent circuit of the new energy power generation station under the coupling frequency; acquiring an admittance matrix of grid-connected point current of the new energy power generation station to grid-connected point voltage; and determining the equivalent impedance of the new energy power station according to the admittance matrix of the grid-connected point current of the new energy power station to the grid-connected point voltage. The impedance equivalence method for the new energy power generation station can more accurately model and analyze the oscillation problem of a new energy grid-connected system, and particularly has the oscillation problem of subsynchronous and supersynchronous frequency coupling.
Description
Technical Field
The invention relates to the field of dynamic modeling and analysis of a new energy power generation grid-connected system, in particular to an impedance equivalence method and device of a new energy power generation station.
Background
Wind, light and other new energy power generation is merged into a power grid through a power electronic converter, the converter has a fast control characteristic, and the problem of subsynchronous/supersynchronous oscillation of an actual system can be caused due to the interaction of the converter and the power grid. For example, the problem of subsynchronous/supersynchronous oscillation of power grids in areas such as Xinjiang Hami and Hebei staphylea in China frequently occurs. The small signal frequency domain impedance method is one of effective methods applied to modeling and analyzing the oscillation problem, and the basic idea of the method is as follows:
(01) describing the dynamic characteristics of the new energy power generation device into a frequency domain transfer function model with small signal voltage disturbance and small signal current response as input and output, and defining the small signal frequency domain impedance (or admittance) of the new energy power generation device as follows:
in the formula, ZP(s) is the small signal frequency domain impedance, v, of the new energy power generation devicep(s) is small signal disturbance voltage i of the new energy power generation devicep(s) is a small signal response current, Y, of the new energy power generation devicePAnd(s) is the small signal frequency domain admittance of the new energy power generation device.
(02) Modeling a single new energy power generation device grid-connected system into an equivalent circuit model consisting of single new energy power generation device impedance and power grid impedance, as shown in fig. 1;
(03) according to the followingAn effective circuit model, which describes a small signal model of the system as a ratio Z of the grid impedance to the device impedanceg(s)/Zp(s) is a single input single output closed loop system with open loop gain, as shown in fig. 2;
(04) and judging the stability of the system according to the Nyquist criterion in the classical control theory.
The advantages of the impedance method are: the dynamic characteristics of the new energy power generation device are represented in an impedance mode, then a circuit model of a multi-machine complex system is quickly constructed on the basis of the KVL and KCL principles of the circuit, and the structure of the system model corresponds to the actual structure of a power grid, so that the system stability and the dominant factors can be distinguished.
Therefore, the impedance of the whole new energy station can be calculated by the impedance of all new energy power generation devices in the station and the impedance of a collecting network (comprising a collecting line, a transformer and the like) in series and parallel connection. If dynamic reactive power compensation devices such as SVG/SVC are installed in the new energy station, the dynamic reactive power compensation devices can be added into the calculation as one of the impedances.
In recent two years, in order to consider the frequency coupling effect caused by the nonlinear factors of the new energy power generation grid-connected device circuit and control, an impedance equivalence method is further developed. The impedance (or admittance) of the device considering the frequency coupling is defined as
Wherein s is a complex variable, w1Is the fundamental angular frequency, j is an imaginary symbol, ip(s) small signal disturbance current i injected into port of new energy power generation devicep(s-jω1) Injecting small signal disturbance current, v, with offset twice fundamental frequency for port of new energy power generation devicep(s) is the small signal response voltage, v, of the new energy power generation devicep(s-jω1) Offsetting twice the fundamental frequency for a new energy power plantSmall signal response voltage of, Zp(s) is the impedance of the small-signal response voltage of the new energy power generation device to the small-signal disturbance current injected into the port of the new energy power generation device, Zc(s) impedance, Z, of small-signal response voltage of the new energy power generation device shifted by twice fundamental frequency to small-signal disturbance current injected into the port of the new energy power generation devicecx(s) impedance, Z, of small signal response voltage of the new energy power generation device to small signal disturbance current which is injected into the port of the new energy power generation device and is shifted by twice fundamental frequencypx(s) impedance of small signal response voltage with twice offset fundamental frequency of the new energy power generation device to small signal disturbance current with twice offset fundamental frequency injected into a port of the new energy power generation device; in the same way, Yp(s) is admittance of small signal response current of the new energy power generation device to small signal disturbance voltage injected into the port of the new energy power generation device, Yc(s) admittance of small-signal response current offset by twice fundamental frequency of the new energy power generation device to small-signal disturbance voltage injected into the port of the new energy power generation device, Ycx(s) admittance of small signal response current of the new energy power generation device to small signal disturbance voltage which is injected into the port of the new energy power generation device and is shifted by two times of fundamental wave frequency, Ypx(s) impedance of small signal response current offset by twice the fundamental frequency of the new energy power generation device to small signal disturbance voltage offset by twice the fundamental frequency injected at the port of the new energy power generation device.
After frequency coupling is considered, the impedance model of the new energy power generation device can be represented as a 2 x 2 frequency domain transmission matrix model, and the physical meaning of the impedance model is that when voltage disturbance v is injected into a port of the devicep(s) the device except for responding to a current i of the corresponding frequencyp(s) in addition to the current response i, shifted by twice the fundamental frequencyp(s-jω1) And vice versa.
In the oscillation problem of a practical system such as a Xinjiang Hami wind power base, as shown in FIG. 3, the frequency coupling effect is a ubiquitous phenomenon that sub-synchronous and super-synchronous oscillation components symmetrical about a fundamental wave exist in the voltage and the current of a power grid at the same time, such as 25Hz and 75 Hz. (since the electrical quantity of negative frequencies has no practical physical significance, the coupling frequencies of-25 Hz and-75 Hz are usually described as positive frequencies, while mathematically the coupling effect between 25Hz and-75 Hz or between 75Hz and-25 Hz).
The impedance model considering the frequency coupling provides a foundation for analysis of the subsynchronous/supersynchronous oscillation problem of the actual system, but the impedance equivalence calculation of the existing new energy station faces a problem, after the frequency coupling is considered, the impedance of the new energy power generation device is not a single-input single-output model any more, the overall impedance of the new energy station comprising a plurality of power generation devices and a collection network cannot be calculated through simple series-parallel equivalence, and a new equivalence calculation method is needed.
Disclosure of Invention
Aiming at the defects of the prior art, the invention aims to provide an impedance equivalence method and device for a new energy power generation station, which are used for analyzing the oscillation problem existing in the subsynchronous frequency and the supersynchronous frequency of an actual system.
The purpose of the invention is realized by adopting the following technical scheme:
the invention provides an impedance equivalence method for a new energy power generation station, which is improved by comprising the following steps:
acquiring an admittance matrix of grid-connected point current of the new energy power generation station to grid-connected point voltage;
and determining the equivalent impedance of the new energy power station according to the admittance matrix of the grid-connected point current of the new energy power station to the grid-connected point voltage.
Preferably, before obtaining the admittance matrix of the grid-connected point current of the new energy power generation station to the grid-connected point voltage, the method includes:
and respectively equating the new energy power generation station to be an equivalent circuit of the new energy power generation station under the original frequency and an equivalent circuit of the new energy power generation station under the coupling frequency.
Further, the equivalent circuit of the new energy power generation station under the original frequency and the equivalent circuit of the new energy power generation station under the coupling frequency respectively includes:
defining a grid-connected point, a new energy power generation unit, a transformer and a collection line among the grid-connected point, the new energy power generation unit and the transformer in the new energy power generation station as internal nodes of the new energy power generation station, and numbering the internal nodes of the new energy power generation station, wherein the number of the internal nodes of the new energy power generation station corresponding to the grid-connected point is 0;
the method is characterized in that the new energy power generation station is equivalent to an equivalent circuit of the new energy power generation station under the original frequency, and the specific process comprises the following steps:
the new energy power generation unit in the new energy power generation station is equivalent to a controlled current source of the new energy power generation unit under the original frequency and admittance of port current of the new energy power generation unit under the original frequency, one end of which is grounded and the other end of which is connected with the controlled current source of the new energy power generation unit under the original frequency, to port voltage of the new energy power generation unit under the original frequency, wherein the other end of the controlled current source of the new energy power generation unit under the original frequency is grounded;
a transformer in the new energy power generation station, a grid-connected point, a new energy power generation unit and a collection line between the transformers are equivalent to admittance of internal nodes at two ends of the transformer;
the method is characterized in that the new energy power generation station is equivalent to an equivalent circuit of the new energy power generation station under the coupling frequency, and the specific process comprises the following steps:
the method comprises the steps that a new energy power generation unit in a new energy power generation station is equivalent to a controlled current source of the new energy power generation unit under a coupling frequency and admittance of port current under the coupling frequency of the new energy power generation unit, one end of which is grounded and the other end of which is connected with the controlled current source of the new energy power generation unit under the coupling frequency, to voltage under the coupling frequency of the new energy power generation unit, wherein the other end of the controlled current source of the new energy power generation unit under the coupling frequency is grounded;
and the transformer in the new energy power generation station, the interconnection point, the new energy power generation unit and the collection line among the transformers are equivalent to admittance of internal nodes at two ends of the transformer.
Further, the obtaining of the admittance matrix of the grid-connected point current of the new energy power generation station to the grid-connected point voltage includes:
determining an admittance matrix Y of the grid-connected point current of the new energy power generation station to the grid-connected point voltage according to the following formula:
wherein s is a complex variable at the original frequency, Ywf,px(s) is admittance of grid-connected point current at the coupling frequency of the new energy station to grid-connected point voltage at the coupling frequency of the new energy station, Ywf,cx(s) is admittance of grid-connected point current at original frequency of new energy station to grid-connected point voltage at coupling frequency of new energy station, Ywf,p(s) admittance of grid-connected point current at original frequency of new energy station to grid-connected point voltage at original frequency of new energy station, Ywf,c(s) admittance of grid-connected point current under the coupling frequency of the new energy station to grid-connected point voltage under the original frequency of the new energy station.
Further, the admittance Y of the grid-connected point current under the original frequency of the new energy station to the grid-connected point voltage under the coupling frequency of the new energy station is determined according to the following formulawf,cx(s)：
Determining admittance Y of grid-connected point current under the coupling frequency of the new energy station to grid-connected point voltage under the coupling frequency of the new energy station according to the following formulawf,px(s)：
Determining admittance Y of grid-connected point current under original frequency of new energy field station to grid-connected point voltage under original frequency of new energy field station according to the following formulawf,p(s)：
Determining admittance Y of grid-connected point current under the coupling frequency of the new energy station to grid-connected point voltage under the original frequency of the new energy station according to the following formulawf,c(s)：
Wherein s is a complex variable at the original frequency, s' ═ s-jw1，w1＝2πf1，f1At fundamental frequency, w1Is the fundamental angular frequency, s' is the complex variable under the coupling frequency, j is the imaginary number sign, i belongs to [1, n ]]N is the total number of the serial numbers of the internal nodes of the equivalent circuit of the new energy power generation station, and Yc(s) is an admittance diagonal matrix of the internal node current under the coupling frequency of the new energy power generation station to the internal node voltage under the original frequency of the new energy power generation station, Ycx(s) is an admittance diagonal matrix of internal node current at original frequency of the new energy power generation station to node voltage at coupling frequency of the new energy power generation station, YN(s) is an internal node admittance matrix, Y, at the original frequency of the new energy stationN′(s') is an internal node admittance matrix, Y, at the coupling frequency of the new energy site0(s) is a connecting admittance vector between an internal node and a grid-connected point under the original frequency of the new energy station, Y0(s') is a connection admittance vector between the internal node and the grid-connected point under the coupling frequency of the new energy station,
is a transposed matrix of connection admittance vectors between internal nodes and grid-connected points under the original frequency of the new energy field station,
transposition matrix of connection admittance vectors between internal nodes and grid-connected points under new energy field station coupling frequency, Y0i(s) is the connection admittance between the ith node and the grid-connected point under the original frequency in the new energy station, Y0i(s') is the connection admittance between the ith node and the grid-connected point under the original frequency of the new energy station.
Preferably, the determining of the equivalent impedance of the new energy power generation station according to the admittance matrix of the grid-connected point current of the new energy power generation station to the grid-connected point voltage includes;
determining the equivalent impedance of the new energy power generation station according to the following formula:
Z＝Y-1；
in the formula, Y is an admittance matrix of the grid-connected point current of the new energy power generation station to the grid-connected point voltage, and Z is the equivalent impedance of the new energy power generation station.
The invention also provides an impedance equivalent device of the new energy power generation station, and the improvement is that the device comprises:
the acquisition module is used for acquiring an admittance matrix of grid-connected point current of the new energy power generation station to grid-connected point voltage;
and the determining module is used for determining the equivalent impedance of the new energy power station according to the admittance matrix of the grid-connected point current of the new energy power station to the grid-connected point voltage.
Preferably, before the obtaining module, the method further includes:
and the equivalent module is used for respectively and equivalently setting the new energy power generation station as an equivalent circuit of the new energy power generation station under the original frequency and an equivalent circuit of the new energy power generation station under the coupling frequency.
Compared with the closest prior art, the invention has the following beneficial effects:
the invention provides a new energy station impedance equivalence method and a new energy station impedance equivalence device considering frequency coupling and a collection network, wherein the new energy power station is equivalent to a 2 x 2 impedance (admittance) matrix model, an analytical expression of the matrix model comprises the impedances of a new energy power generation device and the collection network, and the method has the advantages of generality, wide application range, capability of more accurately modeling and analyzing the oscillation problem of a new energy grid-connected system, and particularly the oscillation problem of subsynchronous and supersynchronous frequency coupling.
Drawings
FIG. 1 is an equivalent circuit model of a new energy power generation grid-connected system;
FIG. 2 is a small signal transfer function model of a single new energy power generation grid-connected system;
FIG. 3 is a FFT analysis of sub/super synchronous oscillation voltage and current wave recording data of a certain Hami wind power base;
FIG. 4 is a flow chart of an impedance equivalence method of a new energy power generation station provided by the invention;
FIG. 5 is a schematic structural diagram of a wind farm provided by an embodiment of the present invention;
fig. 6 is a circuit model of the new energy power generation device considering frequency coupling according to the embodiment of the present invention at an original frequency;
fig. 7 is a circuit model of the new energy power generation device considering frequency coupling under the coupling frequency according to the embodiment of the present invention
Fig. 8 is a circuit model of a new energy station considering frequency coupling under an original frequency according to an embodiment of the present invention
Fig. 9 is a circuit model of a new energy station considering frequency coupling under a coupling frequency according to an embodiment of the present invention
FIG. 10 is a schematic diagram of an equivalent admittance calculation result of a wind power plant according to an embodiment of the present invention;
fig. 11 is a schematic structural diagram of an impedance equivalent device of a new energy power generation station provided by the invention.
Detailed Description
The following describes embodiments of the present invention in further detail with reference to the accompanying drawings.
In order to make the objects, technical solutions and advantages of the embodiments of the present invention clearer, 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 some, but not all, embodiments of the present invention. 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.
The invention provides an impedance equivalence method for a new energy power generation station, as shown in fig. 4, the method comprises the following steps:
101, respectively equating the new energy power generation station to an equivalent circuit of the new energy power generation station under the original frequency and an equivalent circuit of the new energy power generation station under the coupling frequency;
102, acquiring an admittance matrix of grid-connected point current of the new energy power generation station to grid-connected point voltage;
103. and determining the equivalent impedance of the new energy power station according to the admittance matrix of the grid-connected point current of the new energy power station to the grid-connected point voltage.
Specifically, the step 101 includes:
defining a grid-connected point, a new energy power generation unit, a transformer and a collection line among the grid-connected point, the new energy power generation unit and the transformer in the new energy power generation station as internal nodes of the new energy power generation station, and numbering the internal nodes of the new energy power generation station, wherein the number of the internal nodes of the new energy power generation station corresponding to the grid-connected point is 0;
the method is characterized in that the new energy power generation station is equivalent to an equivalent circuit of the new energy power generation station under the original frequency, and the specific process comprises the following steps:
the new energy power generation unit in the new energy power generation station is equivalent to a controlled current source of the new energy power generation unit under the original frequency and admittance of port current of the new energy power generation unit under the original frequency, one end of which is grounded and the other end of which is connected with the controlled current source of the new energy power generation unit under the original frequency, to port voltage of the new energy power generation unit under the original frequency, wherein the other end of the controlled current source of the new energy power generation unit under the original frequency is grounded;
a transformer in the new energy power generation station, a grid-connected point, a new energy power generation unit and a collection line between the transformers are equivalent to admittance of internal nodes at two ends of the transformer;
the method is characterized in that the new energy power generation station is equivalent to an equivalent circuit of the new energy power generation station under the coupling frequency, and the specific process comprises the following steps:
the method comprises the steps that a new energy power generation unit in a new energy power generation station is equivalent to a controlled current source of the new energy power generation unit under a coupling frequency and admittance of port current under the coupling frequency of the new energy power generation unit, one end of which is grounded and the other end of which is connected with the controlled current source of the new energy power generation unit under the coupling frequency, to voltage under the coupling frequency of the new energy power generation unit, wherein the other end of the controlled current source of the new energy power generation unit under the coupling frequency is grounded;
and the transformer in the new energy power generation station, the interconnection point, the new energy power generation unit and the collection line among the transformers are equivalent to admittance of internal nodes at two ends of the transformer.
For example, a typical wind farm grid-connected system is taken as an example, as shown in fig. 5. Tens of wind turbine generators are connected to a power grid through a box transformer substation, a medium-voltage collection line and a main transformer of a wind power plant.
First, each wind turbine is modeled as a port circuit model at two coupling frequencies according to a new energy power generation device impedance model considering frequency coupling, as shown in fig. 6 and 7, where s' ═ s-jw1。
It can be seen that the frequency coupling effect is caused by two controlled current sources
And
in the description that follows,
ir(s)＝Ycx(s)v(s′)；
ic(s′)＝Yc(s)v(s)；
in the formula ir(s) is a controlled current source of the new energy power generation unit device under the original frequency, Ycx(s) admittance of port current at original frequency of new energy power generation unit device to port voltage at coupling frequency of new energy power generation unit device, v (s') is port voltage at coupling frequency of new energy power generation unit device, ic(s') is a controlled current source of the new energy power generation unit arrangement at the coupling frequency, Yc(s) is the admittance of the port current under the coupling frequency of the new energy power generation field unit device to the port voltage under the original frequency of the new energy power generation unit device, and v(s) is the port voltage under the original frequency of the new energy power generation unit device.
Substituting the above new energy power generation device model considering frequency coupling into the topology structure of the new energy power generation station, the new energy station grid-connected system can be modeled into a circuit model under two coupling frequencies as well, as shown in fig. 8 and 9.
After the new energy power generation station is respectively equivalent to an equivalent circuit of the new energy power generation station under an original frequency and an equivalent circuit of the new energy power generation station under a coupling frequency, an admittance matrix of a grid-connected point current of the new energy power generation station to a grid-connected point voltage needs to be acquired, so the step 102 includes:
determining an admittance matrix Y of the grid-connected point current of the new energy power generation station to the grid-connected point voltage according to the following formula:
wherein s is a complex variable at the original frequency, Ywf,px(s) is admittance of grid-connected point current at the coupling frequency of the new energy station to grid-connected point voltage at the coupling frequency of the new energy station, Ywf,cx(s) is admittance of grid-connected point current at original frequency of new energy station to grid-connected point voltage at coupling frequency of new energy station, Ywf,p(s) admittance of grid-connected point current at original frequency of new energy station to grid-connected point voltage at original frequency of new energy station, Ywf,c(s) admittance of grid-connected point current under the coupling frequency of the new energy station to grid-connected point voltage under the original frequency of the new energy station.
Determining admittance Y of grid-connected point current under original frequency of new energy station to grid-connected point voltage under coupling frequency of new energy station according to the following formulawf,cx(s)：
Determining admittance Y of grid-connected point current under the coupling frequency of the new energy station to grid-connected point voltage under the coupling frequency of the new energy station according to the following formulawf,px(s)：
Determining admittance Y of grid-connected point current under original frequency of new energy field station to grid-connected point voltage under original frequency of new energy field station according to the following formulawf,p(s)：
Determining admittance Y of grid-connected point current under the coupling frequency of the new energy station to grid-connected point voltage under the original frequency of the new energy station according to the following formulawf,c(s)：
Wherein s is a complex variable at the original frequency, s' ═ s-jw1，w1＝2πf1，f1At fundamental frequency, w1Is the fundamental angular frequency, s' is the complex variable under the coupling frequency, j is the imaginary number sign, i belongs to [1, n ]]N is the total number of the serial numbers of the internal nodes of the equivalent circuit of the new energy power generation station, and Yc(s) is an admittance diagonal matrix of the internal node current under the coupling frequency of the new energy power generation station to the internal node voltage under the original frequency of the new energy power generation station, Ycx(s) is an admittance diagonal matrix of internal node current at original frequency of the new energy power generation station to node voltage at coupling frequency of the new energy power generation station, YN(s) is an internal node admittance matrix, Y, at the original frequency of the new energy stationN′(s') is an internal node admittance matrix, Y, at the coupling frequency of the new energy site0(s) is a connecting admittance vector between an internal node and a grid-connected point under the original frequency of the new energy station, Y0(s') is a connection admittance vector between the internal node and the grid-connected point under the coupling frequency of the new energy station,
is a transposed matrix of connection admittance vectors between internal nodes and grid-connected points under the original frequency of the new energy field station,
transposition matrix of connection admittance vectors between internal nodes and grid-connected points under new energy field station coupling frequency, Y0i(s) is the connection admittance between the ith node and the grid-connected point under the original frequency in the new energy station, Y0i(s') is the ith frequency of the new energy stationAnd (3) connection admittance between the individual nodes and the grid-connected point.
Further, the new energy power generation station grid-connected point current is related to the admittance matrix Y of the grid-connected point voltagewf,px(s) is admittance of grid-connected point current at the coupling frequency of the new energy station to grid-connected point voltage at the coupling frequency of the new energy station, Ywf,cx(s) is admittance of grid-connected point current at original frequency of new energy station to grid-connected point voltage at coupling frequency of new energy station, Ywf,p(s) admittance of grid-connected point current at original frequency of new energy station to grid-connected point voltage at original frequency of new energy station, Ywf,c(s) the admittance of the grid-connected point current at the coupling frequency of the new energy station to the grid-connected point voltage at the original frequency of the new energy station can be derived according to the following processes:
in the application scenario shown in fig. 8 and 9, site grid-tie points are numbered 0 and intra-site nodes are numbered 1,2, …, n, so the overall impedance model for a site can be defined as:
defining controlled current source vectors for the two circuits;
ir(s)＝Ycx(s)v(s′)； (2)
ic(s′)＝Yc(s)v(s)； (3)
listing node voltage equations of two circuits;
YN(s)v(s)+ir(s)＝v0(s)Y0(s)； (4)
YN′(s′)v(s′)+ic(s′)＝v0(s′)Y0(s′)； (5)
applying KCL theorem to the 0 nodes of the two circuits respectively to obtain the nodes;
v is to be0(s') is substituted into the formula (1) and the formula (5) by 0, respectively;
YN′(s′)v(s′)+ic(s′)＝0； (10)
substituting the formula (2) into the formula (4) to obtain the product;
YN(s)v(s)+Ycx(s)v(s′)＝v0(s)Y0(s)； (11)
substituting the formula (3) into the formula (10) to obtain the final product;
YN′(s′)v(s′)+Yc(s)v(s)＝0； (12)
from equation (12);
v(s′)＝-ZN′(s′)Yc(s)v(s)； (13)
substituting the formula (13) into the formula (11) to obtain;
v(s)＝v0(s){YN(s)-Ycx(s)ZN′(s′)Yc(s)}-1Yc(s)ZN(s)Y0(s)； (14)
obtainable from formula (11);
v(s)＝-ZN(s)Ycx(s)v(s′)+v0(s)ZN(s)Y0(s)； (15)
substituting the formula (15) into the formula (12) to obtain the final product;
v(s′)＝-v0(s){YN′(s′)-Yc(s)ZN(s)Ycx(s)}-1Yc(s)ZN(s)Y0(s)； (16)
after the formula (14) is substituted into the formula (6), the result is substituted into the formula (8) to obtain;
after the formula (16) is substituted into the formula (7), the result is substituted into the formula (9) to obtain;
v is to be0(s) ═ 0 is substituted into the formula (1) and the formula (4), respectively, and is obtained;
YN(s)v(s)+ir(s)＝0； (21)
substituting the formula (3) into the formula (5) to obtain the final product;
YN′(s′)v(s′)+Yc(s)v(s)＝v0(s′)Y0(s′)； (22)
substituting the formula (2) into the formula (21) to obtain the final product;
YN(s)v(s)+Ycx(s)v(s′)＝0； (23)
from equation (23);
v(s′)＝-ZN(s)Ycx(s)v(s′)； (24)
substituting the formula (24) into the formula (22) to obtain the formula;
v(s′)＝v0(s′){YN′(s′)-Yc(s)ZN(s)Ycx(s)}-1Y0(s′)； (25)
from equation (22);
v(s′)＝-ZN′(s′)Yc(s)v(s)+v0(s′)ZN′(s′)Y0(s′)； (26)
substituting the formula (26) into the formula (23) to obtain the formula;
v(s)＝-v0(s′){YN(s)-Ycx(s)ZN′(s′)Yc(s)}-1Ycx(s)ZN′(s′)Y0(s′)； (27)
after the formula (25) is substituted into the formula (7), the result is substituted into the formula (19) to obtain;
after the formula (26) is substituted into the formula (6), the result is substituted into the formula (20) to obtain;
wherein s is a complex variable at the original frequency, s' ═ s-jw1，w1＝2πf1，f1At fundamental frequency, w1Is the fundamental angular frequency, s' is the complex variable at the coupling frequency, j is the imaginary symbol, ir(s) is a controlled current source vector of the new energy power generation station under the original frequency, Ycx(s) is an admittance diagonal matrix of node current under the internal original frequency of the new energy power generation station to node voltage under the internal coupling frequency of the new energy power generation station, v (s') is a node voltage column vector under the internal coupling frequency of the new energy power generation station, ic(s') is a controlled current source vector of the new energy power generation station under the coupling frequency, Yc(s) is an admittance diagonal matrix of node current under the internal coupling frequency of the new energy power generation station to node voltage under the internal original frequency of the new energy power generation station, and v(s) is a node voltage column vector under the internal original frequency of the new energy power generation station; y is0(s)＝diag[Y0i(s)|i＝1,2,...,n]T，Y0(s′)＝diag[Y0i(s′)|i＝1,2,...,n]T，YN(s) is a node admittance matrix at the original frequency inside the new energy station, Y0(s) is a connecting admittance vector between an internal node and a grid-connected point under the original frequency of the new energy station, v0(s) is the grid-connected point voltage at the original frequency of the new energy station, YN'(s') is a node admittance matrix at the internal coupling frequency of the new energy station, v0(s') is the voltage of the grid-connected point under the coupling frequency of the new energy station, Y0(s') is a connection admittance vector between an internal node and a grid-connected point under the coupling frequency of the new energy station; i.e. i0(s) is the current of the grid-connected point at the original frequency of the new energy station, i0(s') is the current of the grid-connected point under the coupling frequency of the new energy station,
is a transposed matrix of connection admittance vectors between internal nodes and grid-connected points under the original frequency of the new energy field station,
transposition matrix of connection admittance vectors between internal nodes and grid-connected points under new energy field station coupling frequency, Y0i(s) is a connection admittance between the ith node and a grid-connected point under the original frequency inside the new energy station;
from this, a frequency domain transfer function matrix of 2 × 2 is derived for the new energy site equivalent impedance (or admittance) taking into account the frequency coupling and collection network.
The step 103 comprises;
determining the equivalent impedance of the new energy power generation station according to the following formula:
Z＝Y-1；
in the formula, Y is an admittance matrix of the grid-connected point current of the new energy power generation station to the grid-connected point voltage, and Z is the equivalent impedance of the new energy power generation station.
Based on the same concept of the control method, a typical wind power plant is taken as an example, the invention also provides another optimal embodiment, as shown in fig. 5, the wind power plant consists of 3 35kV feeders, each feeder is connected to 11 wind power sets with the rated capacity of 3MW, the wind power sets are connected to the feeders through a 0.69/35kV box transformer, the distance between any two wind power sets is 300 meters, the three feeders are converged on a 35kV bus, and are connected to a power grid through an 35/220kV step-up transformer, and the calculated admittance of the wind power plant is shown in fig. 10.
Based on the same concept of the control method, the invention also provides an impedance equivalent device of the new energy power generation station, as shown in fig. 11, the device comprises
The acquisition module is used for acquiring an admittance matrix of grid-connected point current of the new energy power generation station to grid-connected point voltage;
and the determining module is used for determining the equivalent impedance of the new energy power station according to the admittance matrix of the grid-connected point current of the new energy power station to the grid-connected point voltage.
Before the acquisition module in the device, the method further comprises:
and the equivalent module is used for respectively and equivalently setting the new energy power generation station as an equivalent circuit of the new energy power generation station under the original frequency and an equivalent circuit of the new energy power generation station under the coupling frequency.
Equivalent modules in the device include:
the defining unit is used for defining a grid-connected point, a new energy power generation unit, a transformer and a collection line among the grid-connected point, the new energy power generation unit and the transformer in the new energy power generation station as an internal node of the new energy power generation station, and numbering the internal node of the new energy power generation station, wherein the number of the internal node of the new energy power generation station corresponding to the grid-connected point is 0;
the first equivalence unit is used for enabling the new energy power generation station to be equivalent to an equivalent circuit of the new energy power generation station under the original frequency;
the second equivalent unit is used for equivalent the new energy power generation station to an equivalent circuit of the new energy power generation station under the coupling frequency;
the first equivalent unit includes:
the first equivalent subunit is specifically used for equating the new energy power generation unit in the new energy power generation station to a controlled current source of the new energy power generation unit under the original frequency and admittance of port current of the new energy power generation unit under the original frequency, one end of which is grounded and the other end of which is connected with the controlled current source of the new energy power generation unit under the original frequency, to port voltage of the new energy power generation unit under the original frequency, wherein the other end of the controlled current source of the new energy power generation unit under the original frequency is grounded;
the second equivalent subunit is specifically used for equivalent the collection lines among the transformer and the grid-connected point in the new energy power station, the new energy power generation unit and the transformer to admittance of internal nodes at two ends of the new energy power station;
the second equivalent unit comprises:
the third equivalent subunit is specifically used for equating the new energy power generation unit in the new energy power generation station to a controlled current source of the new energy power generation unit under the coupling frequency and admittance of port current under the coupling frequency of the new energy power generation unit, one end of which is grounded and the other end of which is connected with the controlled current source of the new energy power generation unit under the coupling frequency, to voltage under the coupling frequency of the new energy power generation unit, wherein the other end of the controlled current source of the new energy power generation unit under the coupling frequency is grounded;
and the fourth equivalent subunit is specifically used for equivalent the collection lines among the transformers and the grid-connected points in the new energy power station, the new energy power generation unit and the transformers as admittances of internal nodes at two ends of the new energy power station.
An obtaining module in the device is used for determining an admittance matrix Y of the grid-connected point current of the new energy power generation station to the grid-connected point voltage according to the following formula:
wherein s is a complex variable at the original frequency, Ywf,px(s) is admittance of grid-connected point current at the coupling frequency of the new energy station to grid-connected point voltage at the coupling frequency of the new energy station, Ywf,cx(s) is admittance of grid-connected point current at original frequency of new energy station to grid-connected point voltage at coupling frequency of new energy station, Ywf,p(s) admittance of grid-connected point current at original frequency of new energy station to grid-connected point voltage at original frequency of new energy station, Ywf,c(s) grid-connected point current under new energy station coupling frequency to grid-connected point voltage under new energy station original frequencyThe admittance of (1).
The acquisition module includes:
a first obtaining unit, specifically configured to determine admittance Y of grid-connected point current at original frequency of the new energy station to grid-connected point voltage at coupling frequency of the new energy station according to the following formulawf,cx(s)：
A second obtaining unit, specifically configured to determine admittance Y of grid-connected point current at the coupling frequency of the new energy station to grid-connected point voltage at the coupling frequency of the new energy station according to the following formulawf,px(s)：
A third obtaining unit, specifically configured to determine admittance Y of grid-connected point current at original frequency of the new energy station to grid-connected point voltage at original frequency of the new energy station according to the following formulawf,p(s)：
A fourth obtaining unit, specifically configured to determine admittance Y of grid-connected point current at the coupling frequency of the new energy station to grid-connected point voltage at the original frequency of the new energy station according to the following formulawf,c(s)：
Wherein s is a complex variable at the original frequency, s' ═ s-jw1，w1＝2πf1，f1At fundamental frequency, w1Is the fundamental angular frequency, s' is the complex variable under the coupling frequency, j is the imaginary number sign, i belongs to [1, n ]]N is the total number of the serial numbers of the internal nodes of the equivalent circuit of the new energy power generation station, and Yc(s) is an internal section under the coupling frequency of the new energy power stationAdmittance diagonal matrix of point current to internal node voltage under original frequency of new energy power generation station, Ycx(s) is an admittance diagonal matrix of internal node current at original frequency of the new energy power generation station to node voltage at coupling frequency of the new energy power generation station, YN(s) is an internal node admittance matrix, Y, at the original frequency of the new energy stationN′(s') is an internal node admittance matrix, Y, at the coupling frequency of the new energy site0(s) is a connecting admittance vector between an internal node and a grid-connected point under the original frequency of the new energy station, Y0(s') is a connection admittance vector between the internal node and the grid-connected point under the coupling frequency of the new energy station,
is a transposed matrix of connection admittance vectors between internal nodes and grid-connected points under the original frequency of the new energy field station,
transposition matrix of connection admittance vectors between internal nodes and grid-connected points under new energy field station coupling frequency, Y0i(s) is the connection admittance between the ith node and the grid-connected point under the original frequency in the new energy station, Y0i(s') is the connection admittance between the ith node and the grid-connected point under the original frequency of the new energy station.
The determining module in the device is specifically used for determining the equivalent impedance of the new energy power station according to the following formula:
Z＝Y-1；
in the formula, Y is an admittance matrix of the grid-connected point current of the new energy power generation station to the grid-connected point voltage, and Z is the equivalent impedance of the new energy power generation station.
As will be appreciated by one skilled in the art, embodiments of the present application may be provided as a method, system, or computer program product. Accordingly, the present application may take the form of an entirely hardware embodiment, an entirely software embodiment or an embodiment combining software and hardware aspects. Furthermore, the present application may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, and the like) having computer-usable program code embodied therein.
The present application is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the application. It will be understood that each flow and/or block of the flow diagrams and/or block diagrams, and combinations of flows and/or blocks in the flow diagrams and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instruction means which implement the function specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
Finally, it should be noted that: the above embodiments are only for illustrating the technical solutions of the present invention and not for limiting the same, and although the present invention is described in detail with reference to the above embodiments, those of ordinary skill in the art should understand that: modifications and equivalents may be made to the embodiments of the invention without departing from the spirit and scope of the invention, which is to be covered by the claims.
Claims (8)
1. An impedance equivalence method for a new energy power generation station is characterized by comprising the following steps:
acquiring an admittance matrix of grid-connected point current of the new energy power generation station to grid-connected point voltage;
and determining the equivalent impedance of the new energy power station according to the admittance matrix of the grid-connected point current of the new energy power station to the grid-connected point voltage.
2. The impedance equivalence method for the new energy power generation station according to claim 1, wherein before obtaining the admittance matrix of the grid-connected point current to the grid-connected point voltage of the new energy power generation station, the method comprises:
and respectively equating the new energy power generation station to be an equivalent circuit of the new energy power generation station under the original frequency and an equivalent circuit of the new energy power generation station under the coupling frequency.
3. The impedance equivalence method for a new energy power generation station according to claim 2, wherein the respectively equating the new energy power generation station to an equivalent circuit of the new energy power generation station at an original frequency and an equivalent circuit of the new energy power generation station at a coupling frequency comprises:
defining a grid-connected point, a new energy power generation unit, a transformer and a collection line among the grid-connected point, the new energy power generation unit and the transformer in the new energy power generation station as internal nodes of the new energy power generation station, and numbering the internal nodes of the new energy power generation station, wherein the number of the internal nodes of the new energy power generation station corresponding to the grid-connected point is 0;
the method is characterized in that the new energy power generation station is equivalent to an equivalent circuit of the new energy power generation station under the original frequency, and the specific process comprises the following steps:
the new energy power generation unit in the new energy power generation station is equivalent to a controlled current source of the new energy power generation unit under the original frequency and admittance of port current of the new energy power generation unit under the original frequency, one end of which is grounded and the other end of which is connected with the controlled current source of the new energy power generation unit under the original frequency, to port voltage of the new energy power generation unit under the original frequency, wherein the other end of the controlled current source of the new energy power generation unit under the original frequency is grounded;
a transformer in the new energy power generation station, a grid-connected point, a new energy power generation unit and a collection line between the transformers are equivalent to admittance of internal nodes at two ends of the transformer;
the method is characterized in that the new energy power generation station is equivalent to an equivalent circuit of the new energy power generation station under the coupling frequency, and the specific process comprises the following steps:
the method comprises the steps that a new energy power generation unit in a new energy power generation station is equivalent to a controlled current source of the new energy power generation unit under a coupling frequency and admittance of port current under the coupling frequency of the new energy power generation unit, one end of which is grounded and the other end of which is connected with the controlled current source of the new energy power generation unit under the coupling frequency, to voltage under the coupling frequency of the new energy power generation unit, wherein the other end of the controlled current source of the new energy power generation unit under the coupling frequency is grounded;
and the transformer in the new energy power generation station, the interconnection point, the new energy power generation unit and the collection line among the transformers are equivalent to admittance of internal nodes at two ends of the transformer.
4. The impedance equivalence method for the new energy power generation station according to claim 3, wherein the obtaining of the admittance matrix of the grid-connected point current to the grid-connected point voltage of the new energy power generation station comprises:
determining an admittance matrix Y of the grid-connected point current of the new energy power generation station to the grid-connected point voltage according to the following formula:
wherein s is a complex variable at the original frequency, Ywf,px(s) is admittance of grid-connected point current at the coupling frequency of the new energy station to grid-connected point voltage at the coupling frequency of the new energy station, Ywf,cx(s) is admittance of grid-connected point current at original frequency of new energy station to grid-connected point voltage at coupling frequency of new energy station，Ywf,p(s) admittance of grid-connected point current at original frequency of new energy station to grid-connected point voltage at original frequency of new energy station, Ywf,c(s) admittance of grid-connected point current under the coupling frequency of the new energy station to grid-connected point voltage under the original frequency of the new energy station.
5. The impedance equivalence method for the new energy power generation station, as claimed in claim 4, wherein the admittance Y of the grid-connected point current at the original frequency of the new energy station to the grid-connected point voltage at the coupling frequency of the new energy station is determined according to the following formulawf,cx(s)：
Determining admittance Y of grid-connected point current under the coupling frequency of the new energy station to grid-connected point voltage under the coupling frequency of the new energy station according to the following formulawf,px(s)：
Determining admittance Y of grid-connected point current under original frequency of new energy field station to grid-connected point voltage under original frequency of new energy field station according to the following formulawf,p(s)：
Determining admittance Y of grid-connected point current under the coupling frequency of the new energy station to grid-connected point voltage under the original frequency of the new energy station according to the following formulawf,c(s)：
Wherein s is a complex variable at the original frequency, s' ═ s-jw1，w1＝2πf1，f1Is a fundamental waveFrequency, w1Is the fundamental angular frequency, s' is the complex variable under the coupling frequency, j is the imaginary number sign, i belongs to [1, n ]]N is the total number of the serial numbers of the internal nodes of the equivalent circuit of the new energy power generation station, and Yc(s) is an admittance diagonal matrix of the internal node current under the coupling frequency of the new energy power generation station to the internal node voltage under the original frequency of the new energy power generation station, Ycx(s) is an admittance diagonal matrix of internal node current at original frequency of the new energy power generation station to node voltage at coupling frequency of the new energy power generation station, YN(s) is an internal node admittance matrix, Y, at the original frequency of the new energy stationN′(s') is an internal node admittance matrix, Y, at the coupling frequency of the new energy site0(s) is a connecting admittance vector between an internal node and a grid-connected point under the original frequency of the new energy station, Y0(s') is a connection admittance vector between the internal node and the grid-connected point under the coupling frequency of the new energy station,
is a transposed matrix of connection admittance vectors between internal nodes and grid-connected points under the original frequency of the new energy field station,
transposition matrix of connection admittance vectors between internal nodes and grid-connected points under new energy field station coupling frequency, Y0i(s) is the connection admittance between the ith node and the grid-connected point under the original frequency in the new energy station, Y0i(s') is the connection admittance between the ith node and the grid-connected point under the original frequency of the new energy station.
6. The impedance equivalence method for the new energy power generation field station according to claim 1, wherein the determining the equivalent impedance of the new energy power generation field station according to the admittance matrix of the grid-connected point current to the grid-connected point voltage of the new energy power generation field station comprises;
determining the equivalent impedance of the new energy power generation station according to the following formula:
Z＝Y-1；
in the formula, Y is an admittance matrix of the grid-connected point current of the new energy power generation station to the grid-connected point voltage, and Z is the equivalent impedance of the new energy power generation station.
7. An impedance equivalence device of a new energy power generation station, characterized in that the device comprises:
the acquisition module is used for acquiring an admittance matrix of grid-connected point current of the new energy power generation station to grid-connected point voltage;
and the determining module is used for determining the equivalent impedance of the new energy power station according to the admittance matrix of the grid-connected point current of the new energy power station to the grid-connected point voltage.
8. The impedance equivalence method for the new energy power generation station according to claim 1, wherein the obtaining module comprises:
and the equivalent module is used for respectively and equivalently setting the new energy power generation station as an equivalent circuit of the new energy power generation station under the original frequency and an equivalent circuit of the new energy power generation station under the coupling frequency.
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