Electric power system transient stability calculation method based on semi-implicit Runge-Kutta method

Abstract

The invention discloses an electric power system transient stability calculation method based on a semi-implicit Runge-Kutta method. The method includes: establishing a dynamic element model for transient stability simulation calculation of the power system; forming a whole system differential algebraic equation set; inputting raw data and information, carrying out tide calculation, obtaining an operation parameter initial value before system disturbance; calculating an initial value of the state variable; generating a Jacobian matrix and a network admittance matrix of each dynamic element; performing system disturbance judgment; generating a Jacobian matrix of the differential equation set of the whole system; solving and obtaining the value of each state variable at the next moment; carrying out machine network alternate iterative computation, obtaining an operation parameter value at the next moment until a convergence condition is met, and taking the operation parameter value as aninitial value to calculate the next step length. The calculation is simple and stable, the larger step length can be used, the problem that the numerical stability and the calculation efficiency of the algorithm are difficult to consider at the same time in the transient stability simulation calculation is solved, and the method is more efficient, accurate and stable.

Description

[0001] Field [0002] The invention belongs to the technical field of power system transient stability simulation and analysis, and specifically relates to a power system transient stability calculation method based on a semi-implicit Runge-Kutta method. Background technique [0003] With the development of smart grids and AC / DC hybrid grids, the operation of the power system has become more complex and changeable. Power systems often suffer from different levels of faults and disturbances. In order to ensure the continuous safe and stable operation of the power system, it is necessary to judge in advance whether the power system can operate stably under different fault disturbances. Therefore, transient stability simulation and analysis are required. Transient stability analysis generally refers to the electromechanical transient process after the system is subject to large disturbances. The duration is a few seconds to ten seconds. The rapid and accurate transient stability simul...

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Problems solved by technology

These integration algorithms have their own unique advantages, but also have different defects. For example, the explicit integration algorithm is simple to calculate and has high calculation efficiency, but its numerical stability is poor, and it does not have A-stability, and its simulation step size is greatly limited by stability. , it is also difficult to apply to the transient stability simulation of rigid systems; the implicit integral algorithm has good numerical stability and has A-stability, but iterative calculation is required, the calculation is more complicated, and the calculation speed is slow

In addition, although the most widely used implicit trapezoidal integration method has A-stability, its simulation step size can not be limited by stability requirements, but due to the simple iterative method used in the transient stability calculation, its simulation step size Due to the limitation of iterative convergence, it still cannot use a large step size. In the transient stability simulation, the step size is generally set to 0.01s. As the step size increases, numerical oscillation problems will occur.

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