A Transient Stability Projection Integration Method Suitable for Multiple Time Scales in Power Systems

Abstract

The invention discloses a transient stability projection integral method suitable for multi-time scale of an electrical power system. A mathematic model of the electrical power system is solved by adopting an explicit alternant solution algorithm, and a differential equation in the mathematic model of the electrical power system is solved by adopting a projection integral algorithm: firstly, performing multiple-small-step integral operation to correspond to a fast dynamic process of the system; then, performing one-projection step computation according to small-step integral computation results to correspond to a slow dynamic process of the system. A small-step integral computation process is called an internal integrator, and the stability of the algorithm is improved by adopting an explicit four-order Runge-Kutta method with higher numerical stability; a large-step integral computation process is called a projection integrator. The transient stability projection integral method disclosed by the invention not only is suitable for the transient stability simulation of a traditional electrical power system but also suitable for the dynamic simulation problem of an intelligent distribution network. While the requirements of the numerical stability and the numerical precision of the simulation are met, the simulation computation is accelerated, and a solid foundation is laid for the development of a simulation program of the efficient and reliable electrical power system.

Description

technical field [0001] The invention relates to a power system transient stability simulation method. In particular, it relates to a projective integration method for transient stability of power systems with multiple time scales. Background technique [0002] The power system is a complex large system composed of power generation, power transformation, power transmission, power distribution, power consumption and other equipment and corresponding auxiliary systems. At the power system level, the analysis and research of related issues often cannot be directly tested on the actual system, so effective digital simulation must be used as an important research method. [0003] In the research of power system time-domain simulation, three power system digital simulation methods, electromagnetic transient simulation, electromechanical transient simulation and medium- and long-term dynamic simulation, have been developed for different time scales of the system dynamic process. Th...

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Problems solved by technology

The amount of calculation in each time step of the explicit integration method is small, but because of its poor numerical stability, that is, the error generated in a certain time step calculation will continue to accumulate in the subsequent step-by-step integration process, which may cause the calculation results to fail to converge. Therefore, for solving rigid problems, only small simulation steps can be taken, and the simulation speed is greatly limited.

Although the implicit integration method has better numerical stability and can guarantee numerical stability in the process of solving rigid problems, it needs to iteratively solve the equations at each time step. The earth limits its application in large-scale power system transient stability simulation

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