CN115102191B - Stability analysis method for photovoltaic access traction power supply system - Google Patents
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- H—ELECTRICITY
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- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
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Abstract
The invention discloses a stability analysis method of a photovoltaic access traction power supply system, which comprises the following steps of S1, analyzing critical conditions of the stability of the photovoltaic access traction power supply system through improved forbidden zone criteria to obtain inverter controller parameters when a photovoltaic-vehicle-network coupling system oscillates at low frequency; s2, building a time domain simulation model of the photovoltaic access traction power supply system, and performing simulation treatment on the photovoltaic-vehicle-network coupling system to obtain parameters of an inverter controller when the photovoltaic-vehicle-network coupling system is in critical instability in a simulation mode; s3: and comparing the parameters of the inverter controller when the photovoltaic-vehicle-network coupling system is in critical instability with the stability critical conditions obtained by using the improved forbidden zone criteria, and verifying the validity of the improved forbidden zone criteria, namely realizing the stability analysis of the photovoltaic access traction power supply system.
Description
Technical Field
The invention belongs to the field of traction power supply systems, and particularly relates to a stability analysis method of a photovoltaic access traction power supply system.
Background
By the end of 2021, the operation is started along with the Anqing to Jiujiang section of the Beijing high-speed rail, and the operation mileage of the high-speed rail in China is more than 4 ten thousand kilometers. The existing problem of the electrified railway is that low-frequency oscillation is adopted as the high-speed railway rapid development, and a great challenge is brought to the stable operation of a traction power supply system. When the low-frequency oscillation occurs, the overvoltage phenomenon is very easy to cause accidents such as train shutdown, misoperation of safety equipment and the like, and the normal operation of the electrified railway is endangered.
Unlike the low frequency oscillations of conventional power systems, the low frequency oscillations in electrified railways are essentially due to mismatch of electrical parameters of source charges, and the occurrence of low frequency oscillations may be caused by changes in parameters of both source side and vehicle side. The prior literature carries out a great deal of research on the suppression and stability analysis of the low-frequency oscillation problem in the electrified railway, and students at home and abroad carry out the research on the suppression method of the low-frequency oscillation from different angles of a source side and a vehicle side, thereby obtaining better results. Stability research on electrified railways is mainly based on a stability analysis method of impedance, and stability of a system is analyzed according to source side output impedance and vehicle side input impedance. There are a variety of stability criteria in impedance analysis at present, such as Middlebrook criteria, singular value criteria, d-channel criteria, norm criteria, etc. The above criteria can ensure the stability of the system, but have certain conservation and have errors with the critical stable condition of the actual system. The conservation of the criteria is favorable for reserving the stability margin, but the excessive conservation can limit the selection of each parameter of the system to a great extent, so that the design is too conservative to cause unnecessary waste, and the reduction of the conservation is favorable for more accurately judging the critical instability condition of the system and ensuring the stable and safe operation of the system. In recent years, a learner puts forward a Forbidden zone Criterion (FRBC) Based on the stability Criterion, and applies the Forbidden zone Criterion to the study of low-frequency oscillation of a vehicle network system, so that the influence of partial system parameters on the stability of the multi-vehicle parallel system is analyzed, and the influence has smaller conservation.
At present, a traction power supply system is mainly accessed through a three-phase-two-phase transformer and accessed through a railway power regulator (Railway Power Conditioner, RPC), wherein the influence on the problems of negative sequence and the like of the traction power supply system can be reduced through an RPC access mode, and more applications are obtained. However, when the photovoltaic is connected into the traction power supply system in an RPC mode, the nonlinearity degree of the original system is aggravated, a photovoltaic-vehicle-network coupling system with more complex interaction relation of a source, a load and a network is formed, the problem of mismatching of electrical parameters is more easily caused, and the current research is less. In addition, the applicability of FRBC with smaller conservation in the existing criteria to the low frequency stability problem of the photovoltaic-car-network coupling system is questionable.
Based on the above problems, the low frequency stability problem of the photovoltaic access traction power supply system is improved Based on FRBC, and an improved forbidden zone Criterion (MFRBC) is provided, which is less conservative compared with FRBC.
Disclosure of Invention
The invention aims to solve the technical problems in the background technology and provides a stability analysis method for a photovoltaic access traction power supply system.
In order to solve the technical problems, the technical scheme of the invention is as follows:
a method for stability analysis of a photovoltaic access traction power supply system, the method comprising the steps of:
s1, analyzing critical conditions of stability of a photovoltaic access traction power supply system through improved forbidden zone criteria to obtain inverter controller parameters when a photovoltaic-vehicle-network coupling system oscillates at low frequency;
s2, building a time domain simulation model of the photovoltaic access traction power supply system, and performing simulation treatment on the photovoltaic-vehicle-network coupling system to obtain parameters of an inverter controller when the photovoltaic-vehicle-network coupling system is in critical instability in a simulation mode;
s3: and comparing the parameters of the inverter controller when the photovoltaic-vehicle-network coupling system is in critical instability with the stability critical conditions obtained by using the improved forbidden zone criteria, and verifying the validity of the improved forbidden zone criteria, namely realizing the stability analysis of the photovoltaic access traction power supply system.
Further, the stability threshold conditions obtained by using the improved forbidden zone criteria are as follows: inverter controller parameters when the photovoltaic-car-network coupling system is oscillated at low frequency.
Further, in step S1, the improved forbidden zone criterion is specifically:
wherein L is dq And L qd Refers to a of a photovoltaic-vehicle-network coupling system back ratio matrix 12 And a 21 Item A dd And A qq Refer to a of a back ratio matrix 11 And a 22 Real part of term, μ 1 Sum mu 2 Refers to the systematic guerre definition condition, which is any value other than 0.
Further, in step S1, the analyzing the critical condition of the stability of the photovoltaic access traction power supply system specifically includes:
drawing a corresponding curve of the improved forbidden zone criterion by utilizing the logarithmic frequency characteristic;
substituting the parameters of the photovoltaic access traction power supply system into the improved forbidden zone criterion, drawing an amplitude-frequency curve corresponding to the improved forbidden zone criterion in MATLAB software by changing the value of the current loop controller parameter Kp in the inverter, and judging whether the amplitude relation meets the criterion condition.
Further, in step S2, before building the time domain simulation model of the photovoltaic access traction power supply system, the method further includes: building a photovoltaic system-back-to-back inverter-traction network-traction train simulation model.
Further, in the photovoltaic system-back-to-back converter-traction net-traction train simulation model, a plurality of photovoltaic modules are connected into a direct current bus in parallel through a DC/DC converter, are respectively connected into two power supply arms through back-to-back inverters, and supply power to a traction train in cooperation with a traction net, wherein the back-to-back inverters consist of two symmetrical single-phase voltage source type two-level full-control inverters, and the photovoltaic system simulation model, the back-to-back inverters, the traction train and the traction net simulation model form a photovoltaic access traction power supply system time domain simulation model.
Further, the building process of the simulation model of the photovoltaic system-back-to-back converter-traction network-traction train specifically comprises the following steps: adopting a simplified traction network equivalent model, and equivalent to a voltage source and impedance form; the construction of the time domain simulation model of the photovoltaic access traction power supply system is completed by replacing an output impedance matrix of an input side with voltage source load impedance and replacing an input admittance matrix of an output side with a traction train.
Compared with the prior art, the invention has the advantages that:
the improved forbidden zone criterion reduces the error of the forbidden zone criterion on stability analysis through the scaled Geiger circle, avoids overlarge theoretical analysis and actual deviation caused by overlarge characteristic value distance from the Geiger circle boundary, reduces the conservation of the stability analysis to a certain extent, and can provide more accurate theoretical reference for engineering practice.
Drawings
FIG. 1, photovoltaic access traction power supply system topology;
FIG. 2, RPC unilateral equivalent circuit;
FIG. 3, K p 2.8 stability analysis results;
FIG. 4, K p 2.6 stability analysis results;
FIG. 5, K p 2.4 stability analysis results;
FIG. 6, K p Simulating waveforms when falling from 2.8 to 2.4;
fig. 7, a transformation diagram after the introduction of a similarity transformation matrix.
Detailed Description
The following describes specific embodiments of the present invention with reference to examples:
it should be noted that the structures, proportions, sizes and the like illustrated in the present specification are used for being understood and read by those skilled in the art in combination with the disclosure of the present invention, and are not intended to limit the applicable limitations of the present invention, and any structural modifications, proportional changes or size adjustments should still fall within the scope of the disclosure of the present invention without affecting the efficacy and achievement of the present invention.
Also, the terms such as "upper," "lower," "left," "right," "middle," and "a" and the like recited in the present specification are merely for descriptive purposes and are not intended to limit the scope of the invention, but are intended to provide relative positional changes or modifications without materially altering the technical context in which the invention may be practiced.
Example 1
First, as shown in fig. 1, according to the topology structure that photovoltaic is connected into a traction power supply system through a railway power regulator, equivalent impedance models of the photovoltaic system, the railway power regulator, a traction train and a traction network are respectively built by using a small signal modeling method, wherein
1) The photovoltaic system is formed by connecting a plurality of photovoltaic modules in parallel, direct current emitted by the photovoltaic modules in each photovoltaic module is boosted by a DC/DC converter and then is merged into a direct current bus of the railway power regulator, and the photovoltaic output impedance Z is obtained pv 。
2) The railway power regulator comprises two symmetrical single-phase voltage source type two-level full-control inverters, adopts a direct-current voltage and output current double-closed loop decoupling control strategy, inverts direct current output by photovoltaic into single-phase alternating current to respectively supply power to an alpha power supply arm and a beta power supply arm, and supplies power to a traction train together with a traction network; the inverter adopts a dq decoupling current control strategy, network side voltage and current are respectively converted into dq decoupling control signals through a voltage synchronization system and a current synchronization system, grid-connected control of the inverter is realized through a direct current voltage controller and a current controller, and inverter output impedance Z is obtained according to the relation of electrical parameters of all parts inv 。
3) Traction train impedance model adopts literature [1 ]](Chan Xiuqing, wang Ying, chen Saitong, et al. High speed railway vehicle network electric coupling System stability study based on improved sum-norm criterion [ J)]Electrotechnical journal, 2019, 34 (15): 3253-3264.) CRH5 vehicle equivalent admittance Y ch 。
4) The traction net model adopts a simplified RL model Z s ；
And secondly, obtaining an RPC single-side equivalent circuit by the system impedance models obtained in the first step, wherein the traction network and the RPC single-side inverter are the source side, the impedance of the traction network and the RPC single-side inverter is the output impedance, the traction train is the load side, and the impedance of the traction train is the input impedance, as shown in fig. 2.
The back ratio function matrix of the system is obtained from the ratio of input impedance to output impedance in the equivalent circuit:
and thirdly, analyzing the low-frequency stability of the photovoltaic connected into the traction power supply system through the railway power regulator by utilizing the back ratio matrix function obtained in the second step and utilizing the improved forbidden zone criterion, and building a Matlab/Simulink simulation model for verification.
Changing railway power regulator controller parameter K p Analyzing the low-frequency stability of the system by using forbidden zone criteria and improved forbidden zone criteria respectively;
as shown in fig. 3-5, K p The result of the forbidden zone criterion analysis is that the system is stable when the value is=2.8; when K is p And judging the instability of the system at the moment by the forbidden zone criterion when the temperature is reduced to 2.6 from 2.8. When K is p When the value is=2.8, the improved forbidden zone criterion judging system is stable, and the result is consistent with the forbidden zone criterion analysis. When K is p When going from 2.8 to 2.6, the system is still in a steady state, as can be obtained according to the modified exclusion zone criteria. K (K) p When the temperature is reduced from 2.8 to 2.4, the system is unstable at the moment, which is obtained by improving the forbidden zone criterion, and the simulation waveform is shown in figure 6. Compared with the forbidden zone criterion, the improved forbidden zone criterion analysis result is closer to the simulation result, and shows that compared with the forbidden zone criterion, the improved forbidden zone criterion reduces certain conservation, and is suitable for low-frequency stability analysis of a photovoltaic-vehicle-network coupling system.
Example 2:
and when the stability analysis is carried out on the coupling system according to the forbidden zone criterion, the characteristic value distribution of the back ratio matrix is estimated by using the Gal circle theorem. The back ratio matrix is the product of the output impedance matrix and the input admittance matrix, the characteristic values of the system are distributed in two rows or columns of the back ratio matrix, and the active area of the characteristic values is only framed by the rule of the Gal circle, so that the stability analysis of the photovoltaic-vehicle-network coupling system is not facilitated. In order to solve the problems, the Gerschgorin (Gerschgorin) theorem is utilized to determine the distribution position of the eigenvalues of the system back ratio matrix, avoid the process of solving the matrix, and simplify the expression of the norm criterion when the stability analysis is carried out on the system.
Aiming at errors caused by the rule of the Gal circle in the forbidden zone criterion, the Gal circle is scaled by utilizing similar transformation, so that the error with the actual situation caused by the fact that the characteristic value is too far away from the edge of the forbidden zone is avoided, and the specific steps are as follows:
the forbidden zone criterion expression is:
wherein Re { L dd The real part of the element of the row 1 and the column 1 of the back ratio matrix is represented by L dq 、L qq 、L qd The elements of the back ratio matrix are respectively 1 row and 2 columns, 2 rows and 1 columns, and 2 rows and 2 columns.
Back ratio matrix L of photovoltaic-vehicle-network coupling system by introducing similar transformation matrix D dq (s) performing treatment:
D -1 L dq (s)D＝L' dq (s)；
wherein:
D＝diag(d 1 ,d 2 )(d 1 ,d 2 ≠0)；
d 1 and d 2 The value of (2) represents the degree of scaling of the guerre circle.
The transformed schematic diagram is shown in fig. 7:
the transformed back ratio matrix is:
the transformed row guerre circle is obtained as follows:
let d 1 /d 2 ＝μ 1 ，d 2 /d 1 ＝1/μ 1 ，L dd ＝A dd +jB dd ，L qq ＝A qq +jB qq According to the system stability conditions:
transforming to obtain:
let us say that |1/. Mu 1 |<|μ 1 I, i.e. |mu 1 The i e (1, ++ infinity A kind of electronic device. As can be seen from the system stability conditions, if the system is stable, mu exists 1 The above formula is always established.
Due to |mu 1 I and 1/|mu 1 The two types of information are reciprocal, and the two types of information have opposite variation trends, so that the system can always satisfy the formula (1) in the formula (28), and when the formula (1) is in a critical condition, 1/|mu 1 The value of I is the maximum; at this time, the system stability is determined by the formula (2), since |mu 1 When the expression (2) is satisfied, the system is stabilized as shown in the following expression.
Otherwise, as shown in the following formula, the system is critically stable (when the equal sign holds) or unstable.
Likewise, the transformed column guerre constraint is:
the improved forbidden zone criteria are in the form of:
while the preferred embodiments of the present invention have been described in detail, the present invention is not limited to the above embodiments, and various changes may be made without departing from the spirit of the present invention within the knowledge of those skilled in the art.
Many other changes and modifications may be made without departing from the spirit and scope of the invention. It is to be understood that the invention is not to be limited to the specific embodiments, but only by the scope of the appended claims.
Claims (6)
1. A method for analyzing stability of a photovoltaic access traction power supply system, the method comprising the steps of:
s1, analyzing critical conditions of stability of a photovoltaic access traction power supply system through improved forbidden zone criteria to obtain inverter controller parameters when a photovoltaic-vehicle-network coupling system oscillates at low frequency;
the improved forbidden zone criterion is specifically as follows:
wherein L is dq And L qd Refers to a of a photovoltaic-vehicle-network coupling system back ratio matrix 12 And a 21 Item A dd And A qq Refer to a of a back ratio matrix 11 And a 22 Real part of term, μ 1 Sum mu 2 Refers to the system guerre limit condition, which is any value other than 0;
s2, building a time domain simulation model of the photovoltaic access traction power supply system, and performing simulation treatment on the photovoltaic-vehicle-network coupling system to obtain parameters of an inverter controller when the photovoltaic-vehicle-network coupling system is in critical instability in a simulation mode;
s3: and comparing the parameters of the inverter controller when the photovoltaic-vehicle-network coupling system is in critical instability with the stability critical conditions obtained by using the improved forbidden zone criteria, and verifying the validity of the improved forbidden zone criteria, namely realizing the stability analysis of the photovoltaic access traction power supply system.
2. The method for analyzing the stability of a photovoltaic access traction power supply system according to claim 1, wherein the stability critical condition obtained by using the improved forbidden zone criterion is: inverter controller parameters when the photovoltaic-car-network coupling system is oscillated at low frequency.
3. The method for analyzing the stability of a photovoltaic access traction power supply system according to claim 1, wherein in step S1, the critical conditions for the stability of the photovoltaic access traction power supply system are specifically:
drawing a corresponding curve of the improved forbidden zone criterion by utilizing the logarithmic frequency characteristic;
substituting the parameters of the photovoltaic access traction power supply system into the improved forbidden zone criterion, drawing an amplitude-frequency curve corresponding to the improved forbidden zone criterion in MATLAB software by changing the value of the current loop controller parameter Kp in the inverter, and judging whether the amplitude relation meets the criterion condition.
4. The method for analyzing stability of a photovoltaic access traction power supply system according to claim 1, wherein in step S2, before building the time domain simulation model of the photovoltaic access traction power supply system, the method further comprises: building a photovoltaic system-back-to-back inverter-traction network-traction train simulation model.
5. The method for analyzing the stability of a photovoltaic access traction power supply system according to claim 4, wherein in the simulation model of the photovoltaic system, the back-to-back converter, the traction network and the traction train, a plurality of photovoltaic modules are connected into a direct current bus in parallel through a DC/DC converter, two power supply arms are respectively connected into the back-to-back converter through the back-to-back converter, and power is supplied to the traction train in cooperation with the traction network, wherein the back-to-back converter consists of two symmetrical single-phase voltage source type two-level full-control inverters, and the simulation model of the photovoltaic system, the back-to-back converter, the traction train and the traction network form a simulation model of a time domain of the photovoltaic access traction power supply system.
6. The method for analyzing the stability of a photovoltaic access traction power supply system according to claim 4, wherein the building process of the simulation model of the photovoltaic system-back-to-back converter-traction network-traction train is specifically as follows: adopting a simplified traction network equivalent model, and equivalent to a voltage source and impedance form; the construction of the time domain simulation model of the photovoltaic access traction power supply system is completed by replacing an output impedance matrix of an input side with voltage source load impedance and replacing an input admittance matrix of an output side with a traction train.
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