CN115102191A - Stability analysis method for photovoltaic access traction power supply system - Google Patents
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Abstract
The invention discloses a stability analysis method of a photovoltaic access traction power supply system, S1, analyzing the critical condition of the stability of the photovoltaic access traction power supply system through improved forbidden zone criterion to obtain inverter controller parameters when the photovoltaic-vehicle-network coupling system generates low-frequency oscillation; s2, building a photovoltaic access traction power supply system time domain simulation model, carrying out simulation processing on the photovoltaic-vehicle-network coupling system, and simulating to obtain inverter controller parameters when the photovoltaic-vehicle-network coupling system is in critical instability; s3: the inverter controller parameters during the critical instability of the photovoltaic-vehicle-network coupling system are compared with the stability critical conditions obtained by using the improved forbidden zone criterion, the effectiveness of the improved forbidden zone criterion is verified, and the stability analysis of the photovoltaic access traction power supply system is realized.
Description
Technical Field
The invention belongs to the field of traction power supply systems, and particularly relates to a stability analysis method for a photovoltaic access traction power supply system.
Background
By the end of 2021, the high-speed rail operation mileage of our country exceeds 4 kilometers as the operation is opened from Jinggang Gaofenganqing to Jiujiang. When the high-speed railway is rapidly developed, the low-frequency oscillation is used as the existing problem of the electrified railway, and great challenges are brought to the stable operation of a traction power supply system. When low frequency oscillation occurs, overvoltage is easily caused, accidents such as train shutdown and misoperation of safety equipment are caused, and normal operation of the electrified railway is damaged.
Unlike the low frequency oscillation of the conventional power system, the low frequency oscillation in the electrified railway is essentially caused by the mismatching of the electrical parameters of the source load, and the low frequency oscillation phenomenon is possibly caused by the change of the parameters of the source side and the vehicle side. The existing literature makes a lot of researches on the suppression and stability analysis of the low-frequency oscillation problem in the electrified railway, and domestic and foreign scholars study the suppression method of the low-frequency oscillation from different angles of the source side and the train side, so that good results are obtained. The stability research for the electrified railway is mainly based on an impedance stability analysis method, and the stability of a system is analyzed according to source side output impedance and vehicle side input impedance. There are currently various stability criteria in terms of impedance analysis, such as the Middlebrook criterion, the singular value criterion, the d-channel criterion, the norm criterion, etc. The above criteria can ensure the stability of the system, but certain conservation exists, and an error exists between the criterion and the critical stable condition of the actual system. The conservative property of the criterion is beneficial to keeping the stability margin, but the excessive conservative property limits the selection of each parameter of the system to a great extent, so that the design is excessively conservative to cause unnecessary waste, the conservative property is reduced, the critical instability condition of the system can be more accurately judged, and the stable and safe operation of the system is ensured. In recent years, researchers put forward a Forbidden zone Criterion (FRBC) Based on the stability Criterion, apply the Forbidden zone Criterion to the research of low-frequency oscillation of a vehicle network system, analyze the influence of partial system parameters on the stability of a multi-vehicle parallel system, and have small conservation.
At present, a photovoltaic access traction Power supply system is mainly accessed through a three-phase-two-phase transformer and a Railway Power Conditioner (RPC), wherein the influence on the problems such as negative sequence of the traction Power supply system can be reduced through the RPC access mode, and more applications are obtained. However, when the photovoltaic is connected into the traction power supply system in an RPC manner, the non-linearity of the original system is aggravated, a photovoltaic-vehicle-grid coupling system with a more complex interaction relationship among source, load and grid is formed, the problem of mismatching of electrical parameters is more easily caused, and the current research is less. In addition, the applicability of the FRBC with small conservative property in the existing criterion to the low-frequency stability problem of the photovoltaic-vehicle-network coupled system is to be questioned.
Based on the above problems, the low-frequency stability problem of the photovoltaic access traction power supply system is improved on the basis of the FRBC, and an improved Forbidden Region Criterion (MFRBC) is provided, so that the conservation is smaller compared with the FRBC.
Disclosure of Invention
The invention aims to solve the technical problems in the background technology and provide a stability analysis method for a photovoltaic access traction power supply system.
In order to solve the technical problem, the technical scheme of the invention is as follows:
a stability analysis method of a photovoltaic access traction power supply system comprises the following steps:
s1, analyzing the critical condition of the stability of the photovoltaic access traction power supply system through improved forbidden zone criteria to obtain inverter controller parameters when the photovoltaic-vehicle-network coupling system generates low-frequency oscillation;
s2, building a photovoltaic access traction power supply system time domain simulation model, carrying out simulation processing on the photovoltaic-vehicle-network coupling system, and simulating to obtain inverter controller parameters when the photovoltaic-vehicle-network coupling system is in critical instability;
s3: the inverter controller parameters during the critical instability of the photovoltaic-vehicle-network coupling system are compared with the stability critical conditions obtained by using the improved forbidden zone criterion, the effectiveness of the improved forbidden zone criterion is verified, and the stability analysis of the photovoltaic access traction power supply system is realized.
Further, the stability critical condition obtained by using the improved forbidden zone criterion is as follows: and (3) inverter controller parameters when the photovoltaic-vehicle-network coupled system generates low-frequency oscillation.
Further, in step S1, the improved forbidden zone criterion is specifically:
in the formula, L dq And L qd Refers to a of a contrast matrix of a photovoltaic-vehicle-network coupling system 12 And a 21 Item, A dd And A qq Is referred to as a of the contrast matrix 11 And a 22 Real part of the term, μ 1 And mu 2 It is defined as a system cover circle, and is an arbitrary 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 logarithmic amplitude-frequency characteristics;
substituting parameters of a 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 a parameter Kp of a current loop controller in the inverter, and judging whether the amplitude relation meets the criterion condition.
Further, in step S2, before building the photovoltaic access traction power supply system time domain simulation model, the method further includes: and building a photovoltaic system-back-to-back inverter-traction network-traction train simulation model.
Furthermore, in the photovoltaic system-back-to-back converter-traction network-traction train simulation model, a plurality of photovoltaic modules are connected into a direct current bus in a parallel mode 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 the traction network, wherein the back-to-back inverters are composed 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 network simulation model form a photovoltaic access traction power supply system time domain simulation model.
Further, the building process of the photovoltaic system-back-to-back converter-traction network-traction train simulation model specifically comprises the following steps: a simplified traction network equivalent model is adopted and is equivalent to a voltage source and impedance; the construction of the time domain simulation model of the photovoltaic access traction power supply system is completed by replacing an output impedance matrix at the input side with voltage source charge impedance and replacing an input admittance matrix at the 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 by zooming the Geer circle, avoids overlarge theoretical analysis and actual deviation caused by the fact that the characteristic value is too far away from the boundary of the Geer circle, reduces the conservatism of stability analysis to a certain extent, and can provide more accurate theoretical reference for engineering practice.
Drawings
FIG. 1 shows a photovoltaic access traction power supply system topology;
FIG. 2, an RPC single-side equivalent circuit;
FIG. 3, K p 2.8 stability assay results;
FIG. 4, K p 2.6 results of stability analysis;
FIG. 5, K p 2.4 results of stability analysis;
FIG. 6, K p Simulating a waveform when the voltage is reduced from 2.8 to 2.4;
fig. 7, a conversion diagram after introducing a similarity transformation matrix.
Detailed Description
The following describes embodiments of the present invention with reference to examples:
it should be noted that the structures, proportions, sizes, and other elements shown in the specification are included for the purpose of understanding and reading only, and are not intended to limit the scope of the invention, which is defined by the claims, and any modifications of the structures, changes in the proportions and adjustments of the sizes, without affecting the efficacy and attainment of the same.
In addition, the terms "upper", "lower", "left", "right", "middle" and "one" used in the present specification are for clarity of description, and are not intended to limit the scope of the present invention, and the relative relationship between the terms and the terms is not to be construed as a scope of the present invention.
Example 1
First, as shown in fig. 1, according to a topological structure that photovoltaic is connected to 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 established by using a small signal modeling method, wherein the equivalent impedance models are
1) The photovoltaic system is formed by connecting a plurality of photovoltaic modules in parallel, direct current emitted by a photovoltaic component in each photovoltaic module is boosted by a DC/DC converter and then is merged into a direct current bus of a railway power regulator to obtain photovoltaic output impedance Z pv 。
2) The railway power regulator comprises two symmetrical single-phase voltage source type two-level full-control inverters, a direct-current voltage and output current double-closed-loop decoupling control strategy is adopted, direct current output by photovoltaic is inverted into single-phase alternating current to respectively supply power to alpha and beta power supply arms, and the single-phase alternating current and a traction network supply power to a traction train together; the inverter adopts a dq decoupling current control strategy, network side voltage and current are converted into dq decoupling control signals through a voltage synchronization system and a current synchronization system respectively, grid-connected control of the inverter is realized through a direct current voltage controller and a current controller, and output impedance Z of the inverter is obtained according to the relationship of electrical parameters of all parts inv 。
3) Traction train impedance model adopted document [1 ]](mother Xiuqing, Queen, Chensitong, et al. high speed railway network power based on improved sum-norm criterionStudy on stability of gas coupling System [ J]Electrotechnical newspaper, 2019, 34 (15): 3253-3264.) CRH5 vehicle equivalent admittance Y ch 。
4) Traction net model adopting simplified RL model Z s ；
And secondly, obtaining an RPC single-side equivalent circuit by using each system impedance model obtained in the first step as shown in fig. 2, wherein the traction network and the RPC single-side inverter are used as the source side, the impedance of the traction network and the RPC single-side inverter is output impedance, the traction train is used as the load side, and the impedance of the traction train is input impedance.
Obtaining an echo function matrix of the system from the ratio of input impedance to output impedance in the equivalent circuit:
and thirdly, analyzing the low-frequency stability of the photovoltaic accessed to the traction power supply system through the railway power regulator by using the contrast matrix function obtained in the second step and using an improved forbidden zone criterion, and building a Matlab/Simulink simulation model for verification.
Varying railway power conditioner controller parameters K p Analyzing the low-frequency stability of the system by respectively utilizing forbidden zone criteria and improved forbidden zone criteria;
as shown in FIGS. 3-5, K p The result of analysis of the forbidden zone criterion is that the system is stable when the forbidden zone criterion is 2.8; when K is p And judging that the system is unstable at the moment by a forbidden zone criterion when the temperature is reduced from 2.8 to 2.6. When K is p When the result is equal to 2.8, the improved forbidden zone criterion judgment system is stable, and the result is consistent with the analysis of the forbidden zone criterion. When K is p When the temperature is reduced from 2.8 to 2.6, the system can still be in a stable state according to the improved forbidden zone criterion. K p When the temperature is reduced from 2.8 to 2.4, the system is unstable due to the improved forbidden zone criterion, and the simulation waveform is shown in fig. 6. The improved forbidden zone criterion analysis result is closer to the simulation result relative to the forbidden zone criterion, and shows that compared with the forbidden zone criterion, the improved forbidden zone criterion reduces certain conservatism and is suitable for low-frequency stability analysis of a photovoltaic-vehicle-network coupled system.
Example 2:
when the stability of the coupling system is analyzed according to the forbidden zone criterion, the eigenvalue distribution of the return ratio matrix needs to be estimated by using the Gehr circle theorem. The return matrix is the product of the output impedance matrix and the input admittance matrix, the system characteristic value is distributed in two rows or columns of the return matrix, and the stability analysis of the photovoltaic-vehicle-network coupling system is not facilitated because the Gerr circle theorem only frames the activity area of the characteristic value. In order to solve the problems, the distribution position of the characteristic value of the system echo matrix is determined by utilizing Gerschgorin (Gerschgorin) theorem, the process of solving the matrix is avoided, and the expression of norm criterion in the process of analyzing the stability of the system is simplified.
Aiming at the error caused by the Gehr circle theorem in the forbidden zone criterion, the Gehr circle is scaled by utilizing similarity transformation, so that the overlarge error caused by the fact that the characteristic value is too far away from the edge of the forbidden zone and the actual condition is avoided, and the method specifically comprises the following steps:
the forbidden zone criterion expression is as follows:
wherein Re { L } dd Is the real part of the element in row 1 and column 1 of the contrast matrix, L dq 、L qq 、L qd Respectively, the elements of the contrast matrix are 1 row and 2 columns, 2 rows and 1 column, and 2 rows and 2 columns.
Introduction of a similarity transformation matrix D to a contrast matrix L of the photovoltaic-vehicle-network coupled system dq (s) processing:
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 (d) represents the degree of scaling of the Geuer circle.
The transformed schematic is shown in fig. 7:
the transformed contrast matrix is:
the transformed row Gerr circle is obtained as:
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, the following conditions are provided:
the transformation becomes:
not provided with |1/μ 1 |<|μ 1 I.e. mu 1 I e (1, + ∞). From the system stability condition, it can be seen that when the system is stable, μ exists 1 The above formula is always satisfied.
Due to | mu 1 I and 1/| mu 1 If the two changes trend are opposite, the system is not assumed to always satisfy the formula (28), and when the formula is in a critical condition, 1/| mu 1 Taking the maximum value; the system stability is determined by equation (II) since 1 If | reaches the minimum value, then if the equation holds, as shown in the following equation, then the system is stable.
Conversely, the system is critically stable (when the equal sign is true) or unstable as shown in the following formula.
Similarly, the constraint of the transformed column Geiger circle is:
in conclusion, the criterion form of the improved forbidden zone is as follows:
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 can 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 can 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 (7)
1. A stability analysis method for a photovoltaic access traction power supply system is characterized by comprising the following steps:
s1, analyzing the critical condition of the stability of the photovoltaic access traction power supply system through improved forbidden zone criteria to obtain inverter controller parameters when the photovoltaic-vehicle-network coupling system generates low-frequency oscillation;
s2, building a photovoltaic access traction power supply system time domain simulation model, carrying out simulation processing on the photovoltaic-vehicle-network coupling system, and simulating to obtain inverter controller parameters when the photovoltaic-vehicle-network coupling system is in critical instability;
s3: the inverter controller parameters during critical instability of the photovoltaic-vehicle-network coupling system are compared with the stability critical conditions obtained by using the improved forbidden zone criterion, the effectiveness of the improved forbidden zone criterion is verified, and therefore the stability analysis of the photovoltaic access traction power supply system is achieved.
2. The method for analyzing the stability of the photovoltaic access traction power supply system according to claim 1, wherein the stability critical condition obtained by using the improved forbidden zone criterion is as follows: and (3) inverter controller parameters when the photovoltaic-vehicle-network coupling system generates low-frequency oscillation.
3. The method for analyzing stability of a photovoltaic access traction power supply system according to claim 1, wherein in step S1, the improved forbidden zone criterion is specifically:
in the formula, L dq And L qd Refers to a of a contrast matrix of a photovoltaic-vehicle-network coupling system 12 And a 21 Item, A dd And A qq Is referred to as a of the contrast matrix 11 And a 22 Real part of the term, μ 1 And mu 2 The system cover circle limit condition is defined as an arbitrary value other than 0.
4. The method for analyzing the stability of the photovoltaic access traction power supply system according to claim 1, wherein 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 logarithmic amplitude-frequency characteristics;
substituting parameters of a 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 a parameter Kp of a current loop controller in the inverter, and judging whether the amplitude relation meets the criterion condition.
5. The method for analyzing the stability of the 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: and (3) building a photovoltaic system-back-to-back inverter-traction network-traction train simulation model.
6. The method for analyzing the stability of the photovoltaic access traction power supply system according to claim 5, wherein in the photovoltaic system-back-to-back converter-traction network-traction train simulation model, a plurality of photovoltaic modules are connected in parallel to a direct current bus through a DC/DC converter, and are respectively connected to two power supply arms through back-to-back inverters to supply power to the traction train in cooperation with the traction network, wherein the back-to-back inverters are composed of two symmetrical single-phase voltage source type two-level fully-controlled inverters, and the photovoltaic system simulation model, the back-to-back inverters, the traction train and the traction network simulation model form a photovoltaic access traction power supply system time domain simulation model.
7. The method for analyzing the stability of the photovoltaic access traction power supply system according to claim 5, wherein the building process of the photovoltaic system-back-to-back converter-traction network-traction train simulation model specifically comprises the following steps: a simplified traction network equivalent model is adopted and is equivalent to a voltage source and impedance; the construction of the time domain simulation model of the photovoltaic access traction power supply system is completed by replacing an output impedance matrix at the input side with voltage source charge impedance and replacing an input admittance matrix at the output side with a traction train.
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN116454923A (en) * | 2023-06-15 | 2023-07-18 | 国网江西省电力有限公司电力科学研究院 | New energy multi-machine system stability improving method and system |
| CN116454923B (en) * | 2023-06-15 | 2023-12-26 | 国网江西省电力有限公司电力科学研究院 | New energy multi-machine system stability improving method and system |
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