CN110765713A - High-coupling split reactor modeling method and device, computer equipment and medium - Google Patents
High-coupling split reactor modeling method and device, computer equipment and medium Download PDFInfo
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Abstract
The application relates to a high-coupling split reactor modeling method and device, computer equipment and a medium. The high-coupling split reactor modeling method comprises the following steps: establishing an ideal coupling reactor sub-model; determining a fourth-order admittance matrix of the high-coupling split reactor according to frequency characteristic parameters of four ports of the high-coupling split reactor within a preset frequency range; determining a fourth-order admittance matrix of the ideal coupling reactor submodel; determining a fourth-order admittance matrix of the high-frequency module sub-model according to the difference between the fourth-order admittance matrix of the high-coupling split reactor and the fourth-order admittance matrix of the ideal coupling reactor sub-model; according to a fourth-order admittance matrix of the high-frequency module submodel, a four-port pi-shaped equivalent circuit is adopted, and the high-frequency module submodel is obtained through image fitting; and connecting the high-frequency module submodel and the ideal coupling reactor submodel in parallel to obtain a high-coupling split reactor model. The high-coupling split reactor modeling method is high in accuracy.
Description
Technical Field
The application relates to the technical field of power electronic circuit simulation, in particular to a high-coupling split reactor modeling method, a high-coupling split reactor modeling device, computer equipment and a high-coupling split reactor modeling medium.
Background
In recent years, with the rapid development of power systems, the short-circuit current level of the system is increased rapidly, and the continuous increase of the short-circuit current level causes serious consequences to a power grid, so that the development of the power systems is restricted. Therefore, effective measures must be taken to limit the short-circuit fault current.
The fault current limiter based on the high-coupling split reactor has the advantages of small current-sharing working condition loss, strong current-limiting capability, excellent economy and the like, and has important application in the aspect of limiting short-circuit fault current of a power system.
The core component of the fault current limiter based on the high-coupling split reactor is the high-coupling split reactor. The high-coupling split reactor is composed of two oppositely and tightly coupled arm coils and is generally in a hollow structure. When two arms of the high-coupling split reactor are connected to a power system at the same time, the fault current limiter works in a current equalizing working condition and presents very low impedance; when the single arm of the high-coupling split reactor is disconnected and only one arm is connected into the power system, the fault current limiter works under the current-limiting working condition, presents very large impedance and can effectively limit the fault current.
In the design stage of the fault current limiter, the influence of the fault current limiter on a power system and the requirement of the power system on the insulation level of a reactor are mainly researched through a simulation method. Therefore, the establishment of a stable and accurate model can ensure that an accurate conclusion is obtained. The high-coupling split reactor model and the modeling method in the prior art have the problem of poor accuracy.
Disclosure of Invention
In view of the above, it is necessary to provide a high-coupling split reactor modeling method, apparatus, computer device and medium.
A high-coupling split reactor modeling method is used for building a high-coupling split reactor model, the high-coupling split reactor model comprises an ideal coupling reactor sub-model and a high-frequency module sub-model which are connected in parallel, and the method comprises the following steps:
establishing the ideal coupling reactor submodel, wherein the ideal coupling reactor submodel is used for simulating a high-coupling split reactor without the influence of stray capacitance and stray inductance;
determining a fourth-order admittance matrix of the high coupling split reactor corresponding to a plurality of frequency points according to frequency characteristic parameters of four ports of the high coupling split reactor in a preset frequency range;
determining a fourth-order admittance matrix of the ideal coupling reactor submodel corresponding to the plurality of frequency points;
determining a fourth-order admittance matrix of the high-frequency module sub-model corresponding to the multiple frequency points according to the difference between the fourth-order admittance matrix of the high-coupling splitting reactor corresponding to the multiple frequency points and the fourth-order admittance matrix of the ideal coupling reactor sub-model;
according to the four-order admittance matrix of the high-frequency module sub-model corresponding to the multiple frequency points, a four-port pi-shaped equivalent circuit is adopted, and the high-frequency module sub-model is obtained through image fitting;
and connecting the high-frequency module sub-model and the ideal coupling reactor sub-model in parallel to obtain the high-coupling split reactor model.
In one embodiment, the obtaining of the high-frequency module sub-model by image fitting according to the fourth-order admittance matrix of the high-frequency module sub-model corresponding to the multiple frequency points by using a four-port pi-shaped equivalent circuit includes:
determining end-to-ground admittance and/or end-to-end admittance of each end of the four-port pi-shaped equivalent circuit corresponding to the plurality of frequency points according to a fourth-order admittance matrix of the high-frequency module sub-model corresponding to the plurality of frequency points, wherein the end-to-ground admittance is an admittance value between an end and the ground, and the end-to-end admittance is an admittance value between two ends;
determining an inter-terminal admittance frequency characteristic curve according to the inter-terminal admittance of each terminal of the four-port pi-shaped equivalent circuit corresponding to the plurality of frequency points;
determining an end-to-end admittance frequency characteristic curve according to end-to-end admittances of each end of the four-port pi-shaped equivalent circuit corresponding to the plurality of frequency points;
determining a plurality of admittance peak values according to the end-to-end admittance frequency characteristic curve and/or the end-to-end admittance frequency characteristic curve;
and according to the plurality of admittance peak values, determining an inter-terminal branch and an end-ground branch of each end of the four-port pi-shaped equivalent circuit through image method fitting to obtain the high-frequency module sub-model, wherein the inter-terminal branch and the end-ground branch are RLCG branches.
In one embodiment, the determining, according to the plurality of admittance peak values and by image fitting, an inter-terminal branch and an end-ground branch of each end of the four-port pi-shaped equivalent circuit to obtain the high-frequency module submodel includes:
determining an inter-terminal branch and an end-ground branch of each end of the four-port pi-shaped equivalent circuit according to the plurality of admittance peak values and a formula (1) to obtain the high-frequency module submodel;
wherein, ymaxFor the admittance peak, a "kIs pole imaginary part, a'kDenotes the real part of the pole, c'kTo leave the real part of the number, c "kTo leave an imaginary part, fmaxFrequency, C, corresponding to said admittance peakkIs a capacitance, LkIs an inductance, RkIs a resistance, GkIs the conductance.
In one embodiment, the determining, according to a fourth-order admittance matrix of the high-frequency module sub-model corresponding to the multiple frequency points, end-to-ground admittance of each end of the four-port pi-shaped equivalent circuit corresponding to the multiple frequency points includes:
and respectively adding the rows of the fourth-order admittance matrixes of the high-frequency module submodels corresponding to the frequencies to obtain the end-to-ground admittance of each end corresponding to each frequency.
In one embodiment, the determining, according to a fourth-order admittance matrix of the high-frequency module sub-model corresponding to the multiple frequency points, an inter-terminal admittance of each terminal of the four-port pi-shaped equivalent circuit corresponding to the multiple frequency points includes:
and respectively negating the non-diagonal elements of the fourth-order admittance matrix of the high-frequency module sub-model corresponding to each frequency to obtain the inter-terminal admittance of each terminal corresponding to each frequency.
In one embodiment, the determining a fourth-order admittance matrix of the ideal coupling reactor sub-model corresponding to the plurality of frequency points includes:
determining a fourth-order admittance matrix of the ideal coupling reactor submodel corresponding to the plurality of frequency points according to a formula (2);
wherein, Yi(k)Is the fourth order admittance matrix, L, of the ideal coupling reactor submodel corresponding to the frequency point k1Is the inductance, L, of the first arm of the ideal coupling reactor sub-model2And M is the mutual inductance of the first arm and the second arm of the ideal coupling reactor submodel, and omega is the angular frequency.
In one embodiment, the determining, according to frequency characteristic parameters of four ports of the high-coupling splitting reactor in a preset frequency range, a fourth-order admittance matrix of the high-coupling splitting reactor corresponding to a plurality of frequency points includes:
respectively obtaining impedance values of four ports of the high-coupling split reactor in a preset frequency range at a plurality of frequency points;
and respectively calculating the self-admittance value of each port and the mutual admittance values of other ports at each frequency point according to the impedance values to obtain a fourth-order admittance matrix of the high-coupling split reactor.
A high-coupling split reactor modeling device is used for building a high-coupling split reactor model, the high-coupling split reactor model comprises an ideal coupling reactor submodel and a high-frequency module submodel which are connected in parallel, and the device comprises:
the ideal coupling reactor submodel establishing module is used for establishing the ideal coupling reactor submodel, wherein the ideal coupling reactor submodel is used for simulating a high coupling splitting reactor without the influence of stray capacitance and stray inductance;
the first admittance matrix determination module is used for determining a fourth-order admittance matrix of the high-coupling splitting reactor corresponding to a plurality of frequency points according to frequency characteristic parameters of four ports of the high-coupling splitting reactor within a preset frequency range;
the second admittance matrix determination module is used for determining a fourth-order admittance matrix of the ideal coupling reactor submodel corresponding to the plurality of frequency points;
a third admittance matrix determination module, configured to determine, according to a difference between a fourth-order admittance matrix of the high-coupling splitting reactor corresponding to the multiple frequency points and a fourth-order admittance matrix of the ideal coupling reactor sub-model, the fourth-order admittance matrix of the high-frequency module sub-model corresponding to the multiple frequency points;
the high-frequency sub-model fitting module is used for obtaining the high-frequency module sub-model through image fitting by adopting a four-port pi-shaped equivalent circuit according to a four-order admittance matrix of the high-frequency module sub-model corresponding to the multiple frequency points;
and the parallel module is used for connecting the high-frequency module submodel and the ideal coupling reactor submodel in parallel to obtain the high-coupling split reactor model.
A computer device comprising a memory and a processor, the memory storing a computer program, characterized in that the processor implements the steps of the method as described above when executing the computer program.
A computer-readable storage medium, on which a computer program is stored which, when being executed by a processor, carries out the steps of the method as set forth above.
According to the modeling method, device, computer equipment and readable storage medium for the high-coupling split-core reactor, the ideal coupling reactor submodel and the high-frequency module submodel are established, the ideal coupling reactor submodel and the high-frequency module submodel are connected in parallel to obtain the high-coupling split-core reactor model, under the condition of power frequency current, stray capacitance and stray inductance of the model can be ignored, the characteristics of the model are mainly determined by the ideal coupling reactor submodel, and the model has high precision. Under high-frequency current, stray capacitance and stray inductance influence obviously, and the characteristics of the model are mainly determined by a high-frequency module submodel, so that the high-frequency module submodel has high precision. Therefore, the high-coupling split reactor modeling method, device, computer equipment and readable storage medium provided by this embodiment can establish a model that can give consideration to both low-frequency response and high-frequency response, and have relatively high accuracy under both power-frequency current and high-frequency current. Meanwhile, in the embodiment, the high-frequency module submodel is a macro model formed by an equivalent circuit network responding to the high-frequency characteristics of the coupling reactor, is a micro passive model, and has no negative value element, so that the stability of circuit simulation by using the model is high, and the condition that the simulation result is unstable can not occur.
Drawings
FIG. 1 is an application environment diagram of a modeling method for a high-coupling reactor according to an embodiment of the present application;
FIG. 2 is a block diagram of a high-coupling split reactor model according to an embodiment of the present disclosure;
FIG. 3 is a schematic flow chart diagram of a modeling method for a high-coupling reactor according to an embodiment of the present application;
fig. 4 is a schematic diagram of a four-terminal pi-shaped equivalent circuit topology of a high frequency module according to an embodiment of the present application;
FIG. 5 is a schematic flow chart diagram of a modeling method for a high-coupling reactor according to an embodiment of the present application;
FIG. 6 is a schematic flow chart diagram illustrating a modeling method for a high-coupling reactor according to an embodiment of the present application;
FIG. 7 is a graph illustrating an inter-terminal admittance frequency characteristic according to an embodiment of the present application;
fig. 8 is a schematic diagram of a branch corresponding to each admittance peak in the pi-shaped equivalent circuit of the high-frequency module according to an embodiment of the present application;
FIG. 9 is a schematic diagram of an equivalent circuit of all branches at one end or between the end and ground according to an embodiment of the present application;
fig. 10 is a block diagram of a high-coupling reactor modeling apparatus according to an embodiment of the present application.
Detailed Description
In order to make the objects, technical solutions and advantages of the present application more apparent, the present application is described in further detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the present application and are not intended to limit the present application.
Referring to fig. 1, the modeling method for the high-coupling split reactor provided in the embodiment of the present application may be applied to a computer device, and an internal structure diagram of the computer device may be as shown in fig. 1. The computer device includes a processor, a memory, a network interface, and a database connected by a system bus. Wherein the processor of the computer device is configured to provide computing and control capabilities. The memory of the computer device comprises a nonvolatile storage medium and an internal memory. The non-volatile storage medium stores an operating system, a computer program, and a database. The internal memory provides an environment for the operation of an operating system and computer programs in the non-volatile storage medium. The database of the computer device is used for storing data. The network interface of the computer device is used for communicating with an external terminal through a network connection. The computer program is executed by a processor to implement a high coupling split reactor modeling method.
Referring to fig. 2, an embodiment of the present application provides a high-coupling split reactor modeling method, which is used for building a high-coupling split reactor model. The high-coupling split reactor model comprises an ideal coupling reactor sub-model 10 and a high-frequency module sub-model 20 which are connected in parallel.
The modeling object of the high-coupling split reactor modeling method provided by the embodiment of the application is the high-coupling split reactor which is a four-end element with two arms in counter coupling and is greatly influenced by stray capacitance and stray inductance under high frequency.
Referring to fig. 3, the modeling method of the high-coupling split reactor includes the following steps:
and S10, establishing an ideal coupling reactor sub-model, wherein the ideal coupling reactor sub-model is used for simulating a high coupling split reactor without stray capacitance and stray inductance influence.
The ideal coupling reactor submodel, namely the ideal high-coupling split reactor model, refers to a model of the high-coupling split reactor without considering the influence of stray capacitance and stray inductance.
And S20, determining a fourth-order admittance matrix of the high-coupling splitting reactor corresponding to the multiple frequency points according to the frequency characteristic parameters of the four ports of the high-coupling splitting reactor in a preset frequency range.
The frequency characteristic parameter canAs an impedance parameter or an admittance parameter, etc., related to the frequency. The frequency characteristic parameters of the four ports of the high-coupling split reactor can be measured by an impedance analyzer or other measuring methods. The preset frequency range can be selected according to actual requirements. In a specific embodiment, the impedance frequency characteristic of 1KHz-10MHz at four ports of the high-coupling split reactor can be measured as a frequency characteristic parameter. And extracting a fourth-order admittance matrix under a plurality of frequency points according to the frequency characteristic parameters. Each fourth-order admittance matrix is used for representing the frequency characteristics of four ports of the high-coupling splitting reactor at the current frequency point. And if so, selecting the frequency characteristics of n frequency points to determine the fourth-order admittance matrix of the high-coupling split reactor corresponding to the n frequency points. Wherein, the fourth order admittance matrix Y of the high coupling split reactor corresponding to the kth frequency point(k)Expressed as:
and S30, determining a fourth-order admittance matrix of the ideal coupling reactor submodel corresponding to the plurality of frequency points.
And determining a fourth-order admittance matrix of the ideal coupling reactor submodel at the n frequency points. Wherein, the fourth order admittance matrix Y of the ideal coupling reactor submodel corresponding to the kth frequency pointi(k)Is represented as follows:
and S40, determining the fourth-order admittance matrix of the high-frequency module sub-model corresponding to the multiple frequency points according to the difference between the fourth-order admittance matrix of the high-coupling splitting reactor corresponding to the multiple frequency points and the fourth-order admittance matrix of the ideal coupling reactor sub-model.
And (4) subtracting the fourth-order admittance matrix of the high-frequency coupling splitting reactor corresponding to each frequency point from the fourth-order admittance matrix of the ideal coupling reactor sub-model to obtain the fourth-order admittance matrix of the high-frequency module sub-model corresponding to each frequency point. Wherein, Y of the k frequency pointh(k)The matrix is as follows:
and S50, according to the four-order admittance matrix of the high-frequency module submodel corresponding to the multiple frequency points, adopting a four-port pi-shaped equivalent circuit, and fitting by an image method to obtain the high-frequency module submodel.
Referring to fig. 4, an equivalent pi-shaped circuit network of the high frequency module is shown in fig. 4. The four-order admittance matrix of the high-frequency module submodel corresponding to the multiple frequency points can represent the frequency characteristics of the high-frequency module, the four-port pi-shaped equivalent circuit is used as a network structure, and the equivalent circuit of each branch of the four-port pi-shaped equivalent circuit is fitted through an image method according to the frequency characteristics, so that a four-port circuit network corresponding to the high-frequency module is obtained. And packaging the obtained four-terminal circuit network to obtain a high-frequency module macro model, namely the high-frequency module sub model. That is, the high-frequency module submodel is a macro model formed by an equivalent circuit network responding to the high-frequency characteristics of the coupling reactor.
And S60, connecting the high-frequency module submodel and the ideal coupling reactor submodel in parallel to obtain a high-coupling split reactor model.
And connecting the two obtained submodels in parallel to obtain a high-coupling split reactor model shown in fig. 2, wherein the model can be used for circuit simulation of a fault current limiter based on the high-coupling split reactor.
In the embodiment, the ideal coupling reactor submodel and the high-frequency module submodel are established, and the ideal coupling reactor submodel and the high-frequency module submodel are connected in parallel to obtain the high-coupling split reactor model, so that under the power frequency current, stray capacitance and stray inductance can be ignored, the characteristics of the model are mainly determined by the ideal coupling reactor submodel, and the high-coupling split reactor model has high precision. Under high-frequency current, stray capacitance and stray inductance influence obviously, and the characteristics of the model are mainly determined by a high-frequency module submodel, so that the high-frequency module submodel has high precision. Therefore, the model established by the method provided by the embodiment can give consideration to both low-frequency response and high-frequency response, and has higher precision under both power-frequency current and high-frequency current. Meanwhile, in the embodiment, the high-frequency module submodel is a macro model formed by an equivalent circuit network responding to the high-frequency characteristics of the coupling reactor, is a micro passive model, and has no negative value element, so that the stability of circuit simulation by using the model is high, and the condition that the simulation result is unstable can not occur.
Referring to fig. 5, this embodiment relates to a possible implementation manner of determining a fourth-order admittance matrix of a high-coupling splitting reactor corresponding to multiple frequency points according to frequency characteristic parameters of four ports of the high-coupling splitting reactor in a preset frequency range, that is, S10 includes:
s110, respectively obtaining impedance values of four ports of the high-coupling split reactor in a preset frequency range at a plurality of frequency points;
and S120, respectively calculating the self-admittance value of each port and the mutual admittance values of other ports at each frequency point according to the impedance values to obtain a fourth-order admittance matrix of the high-coupling split reactor.
In the fourth-order admittance matrix of the high-coupling split reactor, the four elements in each row are respectively the self-admittance value of one port of the 4 ports and the mutual admittance values of the port and the other 3 ports. The above formula Y(k)In, Y(k)11Denotes the self-admittance value, Y, of port 1(k)12Denotes the transadmittance value, Y, of port 1 and port 2(k)13Denotes the transadmittance value, Y, of port 1 and port 3(k)14Representing the transadmittance values for port 1 and port 4, and so on. Thus, the fourth-order admittance matrix Y of the high-coupling split reactor(k)In the middle, on the diagonal line from top left to bottom right, the self-admittance values of the four ports are respectively, and the rest are the mutual admittance values.
In one embodiment, determining the fourth-order admittance matrix of the ideal coupling reactor submodel corresponding to the plurality of frequency points may be implemented by S30 including:
determining a fourth-order admittance matrix of the ideal coupling reactor submodel corresponding to the plurality of frequency points according to the formula (2):
wherein, Yi(k)Is the fourth order admittance matrix, L, of the ideal coupling reactor submodel corresponding to the frequency point k1Is the inductance, L, of the first arm of the ideal coupling reactor sub-model2And M is the inductance of the second arm of the ideal coupling reactor submodel, M is the mutual inductance of the first arm and the second arm of the ideal coupling reactor submodel, omega is angular frequency, omega is 2 pi f, and omega is determined by the frequency f.
Referring to fig. 6, this embodiment relates to a possible implementation manner of obtaining a high-frequency module sub-model through image fitting by using a four-port pi-shaped equivalent circuit according to a four-order admittance matrix of a high-frequency module sub-model corresponding to a plurality of frequency points, that is, S50 includes:
s510, according to a fourth-order admittance matrix of the high-frequency module sub-model corresponding to the multiple frequency points, determining end-to-ground admittance and/or end-to-end admittance of each end of the four-port pi-shaped equivalent circuit corresponding to the multiple frequency points, wherein the end-to-ground admittance is an admittance value between the end and the ground, and the end-to-end admittance is an admittance value between the two ends.
And respectively adding the rows of the fourth-order admittance matrixes of the high-frequency module submodels corresponding to the frequencies to obtain the end-to-ground admittance of each end corresponding to each frequency. And respectively negating the non-diagonal elements of the fourth-order admittance matrix of the high-frequency module sub-model corresponding to each frequency to obtain the end-to-end admittance of each end corresponding to each frequency.
Specifically, at a certain frequency point, adding one row of the fourth-order admittance matrix of the high-frequency module sub-model corresponding to the frequency point to obtain the admittance between the port and the ground at the frequency point; and taking the off-diagonal element of the fourth-order admittance matrix of the high-frequency module sub-model corresponding to the frequency point as negative, so as to obtain the end-to-end admittance between the two ends under the frequency point. The following formula:
S520, determining an inter-terminal admittance frequency characteristic curve according to inter-terminal admittances of each terminal of the pi-shaped equivalent circuit of the four ports corresponding to the multiple frequency points.
S530, determining an end-to-end admittance frequency characteristic curve according to end-to-end admittances of each end of the four-port pi-shaped equivalent circuit corresponding to the plurality of frequency points.
Along with the change of frequency, the network structure of the four-port pi-shaped equivalent circuit is kept unchanged, but a four-order admittance matrix Y of a high-frequency module sub-modelh(k)The inter-terminal and end-to-ground admittances change.
Referring to fig. 7, the frequency is taken as the abscissa, and the modulus of the inter-terminal admittance and/or the end-ground admittance is taken as the ordinate, so as to obtain the inter-terminal admittance frequency characteristic curve and/or the end-ground admittance frequency characteristic curve.
S540, a plurality of admittance peak values are determined according to the end-to-end admittance frequency characteristic curve and/or the end-to-end admittance frequency characteristic curve.
A number of admittance peak values are selected in the end-to-end admittance frequency characteristic and/or the end-to-end admittance frequency characteristic. As in fig. 7, the circles represent selected admittance peaks. The number of admittance peak values selected can be selected according to actual requirements. It can be understood that the more admittance peak values are selected, the closer the model obtained by fitting is to the high-coupling split reactor.
And S550, determining an inter-terminal branch and an end-ground branch of each end of the four-port pi-shaped equivalent circuit through image fitting according to the plurality of admittance peak values to obtain the high-frequency module sub-model, wherein the inter-terminal branch and the end-ground branch are RLCG branches.
Specifically, the inter-terminal branch and the end-ground branch of each end of the four-port pi-shaped equivalent circuit can be determined according to formula (1), so as to obtain a high-frequency module submodel:
wherein, ymaxIs that it isAdmittance peak, a "kFor the angular frequency, f, corresponding to the admittance peakmaxFrequency, C, corresponding to said admittance peakkIs a capacitance, LkIs an inductance, RkIs a resistance, GkIs the conductance.
Specifically, the extreme point of each admittance frequency characteristic curve can be approximated by an expression consisting of a set of conjugate residuals and conjugate poles, which is as follows. y is the admittance value and ω is the angular frequency at which the admittance value takes y.
Wherein, a'kRepresenting the real part of the pole, a "kRepresenting the imaginary part of the pole, which determines the frequency of the extreme point. To ensure stability, the real part of the extreme point must be negative and as small as possible, and therefore taken as-1/100 for the imaginary part. c'kTo leave the real part of the number, c "kFor the imaginary part of the residue, the residue determines the admittance value of the extreme point. To ensure GkIs 0, c 'is required'ka'k+c”ka”kC 'can be determined by 0'kThe method of (1).
Each admittance peak value corresponds to an RLCG branch, and the RLCG branches are provided with a routing resistor RkInductor CkCapacitor CkAnd conductance GkThe composition and connection mode are shown in figure 8.
Referring to fig. 9, a plurality of RLCG branches are connected in parallel to obtain an equivalent circuit between terminals or between a terminal and ground. The number of the RLCG branches connected in parallel between the terminals or between the terminals and the ground is equal to the number of the selected admittance peak values.
It should be understood that, although the steps in the flowchart are shown in order as indicated by the arrows, the steps are not necessarily performed in order as indicated by the arrows. The steps are not performed in the exact order shown and described, and may be performed in other orders, unless explicitly stated otherwise. Moreover, at least some of the steps in the figures may include multiple sub-steps or multiple stages that are not necessarily performed at the same time, but may be performed at different times, and the order of performance of the sub-steps or stages is not necessarily sequential, but may be performed in turn or alternately with other steps or at least some of the sub-steps or stages of other steps.
In one embodiment, as shown in FIG. 10, there is provided a high coupling split reactor modeling apparatus 100, comprising: an ideal reactor sub-model establishing module 110, a first admittance matrix determining module 120, a second admittance matrix determining module 130, a third admittance matrix determining module 140, a high frequency sub-model fitting module 150, and a parallel module 160, wherein:
an ideal reactor sub-model establishing module 110, configured to establish the ideal coupling reactor sub-model, where the ideal coupling reactor sub-model is used to simulate a high-coupling split reactor without influence of stray capacitance and stray inductance;
a first admittance matrix determining module 120, configured to determine, according to frequency characteristic parameters of four ports of the high-coupling splitting reactor within a preset frequency range, a fourth-order admittance matrix of the high-coupling splitting reactor corresponding to multiple frequency points;
a second admittance matrix determining module 130, configured to determine a fourth-order admittance matrix of the ideal coupling reactor sub-model corresponding to the multiple frequency points;
a third admittance matrix determination module 140, configured to determine, according to a difference between a fourth-order admittance matrix of the high-frequency module sub-model and a fourth-order admittance matrix of the ideal coupling reactor sub-model corresponding to the multiple frequency points, the fourth-order admittance matrix of the high-frequency module sub-model corresponding to the multiple frequency points;
the high-frequency sub-model fitting module 150 is used for obtaining the high-frequency module sub-model through image fitting by adopting a four-port pi-shaped equivalent circuit according to a four-order admittance matrix of the high-frequency module sub-model corresponding to the multiple frequency points;
and the parallel module 160 is used for connecting the high-frequency module sub-model and the ideal coupling reactor sub-model in parallel to obtain the high-coupling split reactor model.
In an embodiment, the high-frequency sub-model fitting module 150 is specifically configured to determine end-to-end admittances and/or end-to-end admittances of each end of the four-port pi-shaped equivalent circuit corresponding to the plurality of frequency points according to a fourth-order admittance matrix of the high-frequency module sub-model corresponding to the plurality of frequency points, where the end-to-end admittances are admittance values between an end and a ground, and the end-to-end admittances are admittance values between two ends; determining an inter-terminal admittance frequency characteristic curve according to the inter-terminal admittance of each terminal of the four-port pi-shaped equivalent circuit corresponding to the plurality of frequency points; determining an end-to-end admittance frequency characteristic curve according to end-to-end admittances of each end of the four-port pi-shaped equivalent circuit corresponding to the plurality of frequency points; determining a plurality of admittance peak values according to the end-to-end admittance frequency characteristic curve and/or the end-to-end admittance frequency characteristic curve; and according to the plurality of admittance peak values, determining an inter-terminal branch and an end-ground branch of each end of the four-port pi-shaped equivalent circuit through image method fitting to obtain the high-frequency module sub-model, wherein the inter-terminal branch and the end-ground branch are RLCG branches.
In one embodiment, the high-frequency sub-model fitting module 150 is specifically configured to determine, according to the plurality of admittance peak values, an inter-terminal branch and an end-ground branch at each end of the four-port pi-shaped equivalent circuit according to formula (1) to obtain the high-frequency module sub-model;
wherein, ymaxFor the admittance peak, a "kIs pole imaginary part, a'kDenotes the real part of the pole, c'kTo leave the real part of the number, c "kTo leave an imaginary part, fmaxFrequency, C, corresponding to said admittance peakkIs a capacitance, LkIs an inductance, RkIs a resistance, GkIs the conductance.
In an embodiment, the high-frequency sub-model fitting module 150 is specifically configured to add each row of the fourth-order admittance matrix of the high-frequency module sub-model corresponding to each frequency, respectively, to obtain the end-to-ground admittance of each end corresponding to each frequency.
In an embodiment, the high-frequency sub-model fitting module 150 is specifically configured to respectively take negative off-diagonal elements of a fourth-order admittance matrix of the high-frequency module sub-model corresponding to each frequency, so as to obtain the inter-terminal admittance of each end corresponding to each frequency.
In an embodiment, the second admittance matrix determining module 130 is specifically configured to determine a fourth-order admittance matrix of the ideal coupling reactor sub-model corresponding to the plurality of frequency points according to formula (2);
wherein, Yi(k)Is the fourth order admittance matrix, L, of the ideal coupling reactor submodel corresponding to the frequency point k1Is the inductance, L, of the first arm of the ideal coupling reactor sub-model2And M is the mutual inductance of the first arm and the second arm of the ideal coupling reactor submodel, and omega is the angular frequency.
In an embodiment, the first admittance matrix determining module 120 is specifically configured to respectively obtain impedance values of four ports of the high-coupling split reactor at multiple frequency points within a preset frequency range; and respectively calculating the self-admittance value of each port and the mutual admittance values of other ports at each frequency point according to the impedance values to obtain a fourth-order admittance matrix of the high-coupling split reactor.
For specific limitations of the high-coupling split reactor modeling apparatus 100, reference may be made to the above limitations of the high-coupling split reactor modeling method, which are not described herein again. The various modules in the high-coupling split reactor modeling apparatus 100 described above may be implemented in whole or in part by software, hardware, and combinations thereof. The modules can be embedded in a hardware form or independent from a processor in the computer device, and can also be stored in a memory in the computer device in a software form, so that the processor can call and execute operations corresponding to the modules.
In one embodiment, a computer device is provided, comprising a memory and a processor, the memory having a computer program stored therein, the processor implementing the following steps when executing the computer program:
establishing the ideal coupling reactor submodel, wherein the ideal coupling reactor submodel is used for simulating a high-coupling split reactor without the influence of stray capacitance and stray inductance;
determining a fourth-order admittance matrix of the high coupling split reactor corresponding to a plurality of frequency points according to frequency characteristic parameters of four ports of the high coupling split reactor in a preset frequency range;
determining a fourth-order admittance matrix of the ideal coupling reactor submodel corresponding to the plurality of frequency points;
determining a fourth-order admittance matrix of the high-frequency module sub-model corresponding to the multiple frequency points according to the difference between the fourth-order admittance matrix of the high-coupling splitting reactor corresponding to the multiple frequency points and the fourth-order admittance matrix of the ideal coupling reactor sub-model;
according to the four-order admittance matrix of the high-frequency module sub-model corresponding to the multiple frequency points, a four-port pi-shaped equivalent circuit is adopted, and the high-frequency module sub-model is obtained through image fitting;
and connecting the high-frequency module sub-model and the ideal coupling reactor sub-model in parallel to obtain the high-coupling split reactor model.
In one embodiment, the processor, when executing the computer program, further performs the steps of: determining end-to-ground admittance and/or end-to-end admittance of each end of the four-port pi-shaped equivalent circuit corresponding to the plurality of frequency points according to a fourth-order admittance matrix of the high-frequency module sub-model corresponding to the plurality of frequency points, wherein the end-to-ground admittance is an admittance value between an end and the ground, and the end-to-end admittance is an admittance value between two ends; determining an inter-terminal admittance frequency characteristic curve according to the inter-terminal admittance of each terminal of the four-port pi-shaped equivalent circuit corresponding to the plurality of frequency points; determining an end-to-end admittance frequency characteristic curve according to end-to-end admittances of each end of the four-port pi-shaped equivalent circuit corresponding to the plurality of frequency points; determining a plurality of admittance peak values according to the end-to-end admittance frequency characteristic curve and/or the end-to-end admittance frequency characteristic curve; and according to the plurality of admittance peak values, determining an inter-terminal branch and an end-ground branch of each end of the four-port pi-shaped equivalent circuit through image method fitting to obtain the high-frequency module sub-model, wherein the inter-terminal branch and the end-ground branch are RLCG branches.
In one embodiment, the processor, when executing the computer program, further performs the steps of: determining an inter-terminal branch and an end-ground branch of each end of the four-port pi-shaped equivalent circuit according to the plurality of admittance peak values and a formula (1) to obtain the high-frequency module submodel;
wherein, ymaxFor the admittance peak, a "kIs pole imaginary part, a'kDenotes the real part of the pole, c'kTo leave the real part of the number, c "kTo leave an imaginary part, fmaxFrequency, C, corresponding to said admittance peakkIs a capacitance, LkIs an inductance, RkIs a resistance, GkIs the conductance.
In one embodiment, the processor, when executing the computer program, further performs the steps of: and respectively adding the rows of the fourth-order admittance matrixes of the high-frequency module submodels corresponding to the frequencies to obtain the end-to-ground admittance of each end corresponding to each frequency.
In one embodiment, the processor, when executing the computer program, further performs the steps of: and respectively negating the non-diagonal elements of the fourth-order admittance matrix of the high-frequency module sub-model corresponding to each frequency to obtain the inter-terminal admittance of each terminal corresponding to each frequency.
In one embodiment, the processor, when executing the computer program, further performs the steps of: determining a fourth-order admittance matrix of the ideal coupling reactor submodel corresponding to the plurality of frequency points according to a formula (2);
wherein, Yi(k)Is the fourth order admittance matrix, L, of the ideal coupling reactor submodel corresponding to the frequency point k1Is the inductance, L, of the first arm of the ideal coupling reactor sub-model2And M is the mutual inductance of the first arm and the second arm of the ideal coupling reactor submodel, and omega is the angular frequency.
In one embodiment, the processor, when executing the computer program, further performs the steps of: respectively obtaining impedance values of four ports of the high-coupling split reactor in a preset frequency range at a plurality of frequency points; and respectively calculating the self-admittance value of each port and the mutual admittance values of other ports at each frequency point according to the impedance values to obtain a fourth-order admittance matrix of the high-coupling split reactor.
In one embodiment, a computer-readable storage medium is provided, on which a computer program is stored, which computer program, when executed by a processor, performs the steps of:
establishing the ideal coupling reactor submodel, wherein the ideal coupling reactor submodel is used for simulating a high-coupling split reactor without the influence of stray capacitance and stray inductance;
determining a fourth-order admittance matrix of the high coupling split reactor corresponding to a plurality of frequency points according to frequency characteristic parameters of four ports of the high coupling split reactor in a preset frequency range;
determining a fourth-order admittance matrix of the ideal coupling reactor submodel corresponding to the plurality of frequency points;
determining a fourth-order admittance matrix of the high-frequency module sub-model corresponding to the multiple frequency points according to the difference between the fourth-order admittance matrix of the high-coupling splitting reactor corresponding to the multiple frequency points and the fourth-order admittance matrix of the ideal coupling reactor sub-model;
according to the four-order admittance matrix of the high-frequency module sub-model corresponding to the multiple frequency points, a four-port pi-shaped equivalent circuit is adopted, and the high-frequency module sub-model is obtained through image fitting;
and connecting the high-frequency module sub-model and the ideal coupling reactor sub-model in parallel to obtain the high-coupling split reactor model.
In one embodiment, the computer program when executed by the processor further performs the steps of: determining end-to-ground admittance and/or end-to-end admittance of each end of the four-port pi-shaped equivalent circuit corresponding to the plurality of frequency points according to a fourth-order admittance matrix of the high-frequency module sub-model corresponding to the plurality of frequency points, wherein the end-to-ground admittance is an admittance value between an end and the ground, and the end-to-end admittance is an admittance value between two ends; determining an inter-terminal admittance frequency characteristic curve according to the inter-terminal admittance of each terminal of the four-port pi-shaped equivalent circuit corresponding to the plurality of frequency points; determining an end-to-end admittance frequency characteristic curve according to end-to-end admittances of each end of the four-port pi-shaped equivalent circuit corresponding to the plurality of frequency points; determining a plurality of admittance peak values according to the end-to-end admittance frequency characteristic curve and/or the end-to-end admittance frequency characteristic curve; and according to the plurality of admittance peak values, determining an inter-terminal branch and an end-ground branch of each end of the four-port pi-shaped equivalent circuit through image method fitting to obtain the high-frequency module sub-model, wherein the inter-terminal branch and the end-ground branch are RLCG branches.
In one embodiment, the computer program when executed by the processor further performs the steps of: determining an inter-terminal branch and an end-ground branch of each end of the four-port pi-shaped equivalent circuit according to the plurality of admittance peak values and a formula (1) to obtain the high-frequency module submodel;
wherein, ymaxFor the admittance peak, a "kIs pole imaginary part, a'kDenotes the real part of the pole, c'kTo reserve the number of the entitySection, c "kTo leave an imaginary part, fmaxFrequency, C, corresponding to said admittance peakkIs a capacitance, LkIs an inductance, RkIs a resistance, GkIs the conductance.
In one embodiment, the computer program when executed by the processor further performs the steps of: and respectively adding the rows of the fourth-order admittance matrixes of the high-frequency module submodels corresponding to the frequencies to obtain the end-to-ground admittance of each end corresponding to each frequency.
In one embodiment, the computer program when executed by the processor further performs the steps of: and respectively negating the non-diagonal elements of the fourth-order admittance matrix of the high-frequency module sub-model corresponding to each frequency to obtain the inter-terminal admittance of each terminal corresponding to each frequency.
In one embodiment, the computer program when executed by the processor further performs the steps of: determining a fourth-order admittance matrix of the ideal coupling reactor submodel corresponding to the plurality of frequency points according to a formula (2);
wherein, Yi(k)Is the fourth order admittance matrix, L, of the ideal coupling reactor submodel corresponding to the frequency point k1Is the inductance, L, of the first arm of the ideal coupling reactor sub-model2And M is the mutual inductance of the first arm and the second arm of the ideal coupling reactor submodel, and omega is the angular frequency.
In one embodiment, the computer program when executed by the processor further performs the steps of: respectively obtaining impedance values of four ports of the high-coupling split reactor in a preset frequency range at a plurality of frequency points; and respectively calculating the self-admittance value of each port and the mutual admittance values of other ports at each frequency point according to the impedance values to obtain a fourth-order admittance matrix of the high-coupling split reactor.
The technical features of the embodiments described above may be arbitrarily combined, and for the sake of brevity, all possible combinations of the technical features in the embodiments described above are not described, but should be considered as being within the scope of the present specification as long as there is no contradiction between the combinations of the technical features.
The above-mentioned embodiments only express several embodiments of the present application, and the description thereof is more specific and detailed, but not construed as limiting the claims. It should be noted that, for a person skilled in the art, several variations and modifications can be made without departing from the concept of the present application, which falls within the scope of protection of the present application. Therefore, the protection scope of the present patent shall be subject to the appended claims.
Claims (10)
1. A high-coupling split reactor modeling method is characterized by being used for building a high-coupling split reactor model, wherein the high-coupling split reactor model comprises an ideal coupling reactor sub-model and a high-frequency module sub-model which are connected in parallel, and the method comprises the following steps:
establishing the ideal coupling reactor submodel, wherein the ideal coupling reactor submodel is used for simulating a high-coupling split reactor without the influence of stray capacitance and stray inductance;
determining a fourth-order admittance matrix of the high coupling split reactor corresponding to a plurality of frequency points according to frequency characteristic parameters of four ports of the high coupling split reactor in a preset frequency range;
determining a fourth-order admittance matrix of the ideal coupling reactor submodel corresponding to the plurality of frequency points;
determining a fourth-order admittance matrix of the high-frequency module sub-model corresponding to the multiple frequency points according to the difference between the fourth-order admittance matrix of the high-coupling splitting reactor corresponding to the multiple frequency points and the fourth-order admittance matrix of the ideal coupling reactor sub-model;
according to the four-order admittance matrix of the high-frequency module sub-model corresponding to the multiple frequency points, a four-port pi-shaped equivalent circuit is adopted, and the high-frequency module sub-model is obtained through image fitting;
and connecting the high-frequency module sub-model and the ideal coupling reactor sub-model in parallel to obtain the high-coupling split reactor model.
2. The method of claim 1, wherein the obtaining of the high-frequency module sub-model through image fitting by using a four-port pi-shaped equivalent circuit according to a four-order admittance matrix of the high-frequency module sub-model corresponding to the plurality of frequency points comprises:
determining end-to-ground admittance and/or end-to-end admittance of each end of the four-port pi-shaped equivalent circuit corresponding to the plurality of frequency points according to a fourth-order admittance matrix of the high-frequency module sub-model corresponding to the plurality of frequency points, wherein the end-to-ground admittance is an admittance value between an end and the ground, and the end-to-end admittance is an admittance value between two ends;
determining an inter-terminal admittance frequency characteristic curve according to the inter-terminal admittance of each terminal of the four-port pi-shaped equivalent circuit corresponding to the plurality of frequency points;
determining an end-to-end admittance frequency characteristic curve according to end-to-end admittances of each end of the four-port pi-shaped equivalent circuit corresponding to the plurality of frequency points;
determining a plurality of admittance peak values according to the end-to-end admittance frequency characteristic curve and/or the end-to-end admittance frequency characteristic curve;
and according to the plurality of admittance peak values, determining an inter-terminal branch and an end-ground branch of each end of the four-port pi-shaped equivalent circuit through image method fitting to obtain the high-frequency module sub-model, wherein the inter-terminal branch and the end-ground branch are RLCG branches.
3. The method according to claim 2, wherein the determining the inter-terminal branch and the end-ground branch of each end of the four-port pi-shaped equivalent circuit by image fitting according to the plurality of admittance peak values to obtain the high-frequency module submodel comprises:
determining an inter-terminal branch and an end-ground branch of each end of the four-port pi-shaped equivalent circuit according to the plurality of admittance peak values and a formula (1) to obtain the high-frequency module submodel;
wherein, ymaxFor the admittance peak, a "kIs pole imaginary part, a'kDenotes the real part of the pole, c'kTo leave the real part of the number, c "kTo leave an imaginary part, fmaxFrequency, C, corresponding to said admittance peakkIs a capacitance, LkIs an inductance, RkIs a resistance, GkIs the conductance.
4. The method of claim 2, wherein determining end-to-ground admittances for respective ends of the four-port pi-shaped equivalent circuit corresponding to the plurality of frequency points according to a fourth-order admittance matrix of the high-frequency module sub-model corresponding to the plurality of frequency points comprises:
and respectively adding the rows of the fourth-order admittance matrixes of the high-frequency module submodels corresponding to the frequencies to obtain the end-to-ground admittance of each end corresponding to each frequency.
5. The method of claim 2, wherein determining inter-terminal admittances for respective ends of the four-port pi-shaped equivalent circuit corresponding to the plurality of frequency points according to a fourth-order admittance matrix of the high-frequency module sub-model corresponding to the plurality of frequency points comprises:
and respectively negating the non-diagonal elements of the fourth-order admittance matrix of the high-frequency module sub-model corresponding to each frequency to obtain the inter-terminal admittance of each terminal corresponding to each frequency.
6. The method of claim 1, wherein the determining a fourth order admittance matrix of the ideal coupling reactor submodel corresponding to the plurality of frequency points comprises:
determining a fourth-order admittance matrix of the ideal coupling reactor submodel corresponding to the plurality of frequency points according to a formula (2);
wherein, Yi(k)Is the fourth order admittance matrix, L, of the ideal coupling reactor submodel corresponding to the frequency point k1Is the inductance, L, of the first arm of the ideal coupling reactor sub-model2And M is the mutual inductance of the first arm and the second arm of the ideal coupling reactor submodel, and omega is the angular frequency.
7. The method according to claim 1, wherein the determining a fourth-order admittance matrix of the high-coupling splitting reactor corresponding to a plurality of frequency points according to the frequency characteristic parameters of the four ports of the high-coupling splitting reactor in a preset frequency range comprises:
respectively obtaining impedance values of four ports of the high-coupling split reactor in a preset frequency range at a plurality of frequency points;
and respectively calculating the self-admittance value of each port and the mutual admittance values of other ports at each frequency point according to the impedance values to obtain a fourth-order admittance matrix of the high-coupling split reactor.
8. A high-coupling split reactor modeling device is characterized by being used for building a high-coupling split reactor model, wherein the high-coupling split reactor model comprises an ideal coupling reactor sub-model and a high-frequency module sub-model which are connected in parallel, and the device comprises:
the ideal coupling reactor submodel establishing module is used for establishing the ideal coupling reactor submodel, wherein the ideal coupling reactor submodel is used for simulating a high coupling splitting reactor without the influence of stray capacitance and stray inductance;
the first admittance matrix determination module is used for determining a fourth-order admittance matrix of the high-coupling splitting reactor corresponding to a plurality of frequency points according to frequency characteristic parameters of four ports of the high-coupling splitting reactor within a preset frequency range;
the second admittance matrix determination module is used for determining a fourth-order admittance matrix of the ideal coupling reactor submodel corresponding to the plurality of frequency points;
a third admittance matrix determination module, configured to determine, according to a difference between a fourth-order admittance matrix of the high-coupling splitting reactor corresponding to the multiple frequency points and a fourth-order admittance matrix of the ideal coupling reactor sub-model, the fourth-order admittance matrix of the high-frequency module sub-model corresponding to the multiple frequency points;
the high-frequency sub-model fitting module is used for obtaining the high-frequency module sub-model through image fitting by adopting a four-port pi-shaped equivalent circuit according to a four-order admittance matrix of the high-frequency module sub-model corresponding to the multiple frequency points;
and the parallel module is used for connecting the high-frequency module submodel and the ideal coupling reactor submodel in parallel to obtain the high-coupling split reactor model.
9. A computer device comprising a memory and a processor, the memory storing a computer program, wherein the processor implements the steps of the method of any one of claims 1 to 7 when executing the computer program.
10. A computer-readable storage medium, on which a computer program is stored, which, when being executed by a processor, carries out the steps of the method of any one of claims 1 to 7.
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