Electromagnetic transient simulation method adopting variable-order variable-step-size 3S-DIRK algorithm

An algorithm and step size technology, applied in design optimization/simulation, complex mathematical operations, special data processing applications, etc., can solve problems such as large amount of calculation, achieve high calculation accuracy, suppress numerical oscillation, and ensure the effect of calculation accuracy

Inactive Publication Date: 2021-03-02
STATE GRID CORP OF CHINA +4
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Problems solved by technology

On the basis of the same algorithm, the step size is continuously modified to achieve a real variable step size, but the disadvantage is that the calculation is large, and the matrix needs to be reconstructed repeatedly.

Method used

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  • Electromagnetic transient simulation method adopting variable-order variable-step-size 3S-DIRK algorithm
  • Electromagnetic transient simulation method adopting variable-order variable-step-size 3S-DIRK algorithm
  • Electromagnetic transient simulation method adopting variable-order variable-step-size 3S-DIRK algorithm

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Embodiment Construction

[0045] The present invention will be further described below using the accompanying drawings and examples.

[0046]The concept basis of the present invention is, based on the analysis of the Runge-Kutta method, the shortcomings of the current algorithm are analyzed by using the Butcher matrix, and the three-level diagonal implicit Runge library is constructed by using the theoretical analysis method of the Runge-Kutta method The tower integral algorithm (3stage diagonally implicit RK formula, 3S-DIRK), which is a transformation of the implicit trapezoidal integral method, has a third-order calculation accuracy in normal calculations, and switches to the L-stable algorithm after a failure occurs, and the calculation maintains the second-order calculation Accuracy, at the same time, it has the calculation ability of actively variable step size and passive variable step size, which can comprehensively improve the calculation accuracy of electromagnetic transient simulation.

[00...

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Abstract

The invention relates to an electromagnetic transient simulation method adopting a variable-order variable-step-size 3SDIRK algorithm, which is characterized by comprising four sub-algorithms, namelyan algorithm A (step 0) is adopted during normal simulation calculation, and when it is detected that switching action needs interpolation, the algorithm D is adopted to enter (step 1), and the algorithm is switched to an algorithm B (step 2); after numerical oscillation is eliminated, an algorithm C (step 3) is adopted for synchronization, then an algorithm A (step 0) is switched to, if interpolation occurs in the step 2, the step 1 is executed for interpolation, the four sub-algorithms have different advantages and can be applied to different calculation situations of electromagnetic transient, it can be guaranteed that equivalent admittance of elements is unchanged during algorithm switching, and the stability of the elements is improved; in the whole simulation process, the calculationprecision is not lower than the second order, L is stable in the fault period, numerical oscillation can be eliminated, variable step size calculation can be achieved, and the method can be applied to electromagnetic transient simulation calculation of a large-scale power grid.

Description

technical field [0001] The invention relates to the research field of AC and DC equipment simulation modeling and initialization technology suitable for electromagnetic transient simulation, and is an electromagnetic transient simulation method using a variable-order variable-step-size 3S-DIRK algorithm. Background technique [0002] Power system electromagnetic transient simulation is mainly used for simulating and analyzing electromagnetic field changes after faults or operations and possible transient overvoltage and overcurrent problems. With the wide application of high-voltage and large-capacity DC transmission systems, new energy stations and flexible ac transmission system (FACTS) devices in power systems, the dynamic characteristics of the interconnected grid have undergone profound changes. Power electronic components The resulting waveform distortion and its fast transient process have an increasing impact on the stability of the power grid. The electromechanical...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F30/20G06F17/10
CPCG06F30/20G06F17/10
Inventor 叶小晖赵钰婷崔杨邓贵波张彦涛施浩波李霞宋新立刘文焯仲悟之
Owner STATE GRID CORP OF CHINA
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