Research On Simulation Of Power System Based On Precise Integration Algorithm

Digital simulation has already become main tool of layout, design, running, analysis and control of power systems, and it has received comprehensive applied at present. Digital simulation of power systems mainly includes mathematic model's establishment and the model's solving and experimentation's simulation. The performance of numerical value integral method would directly influence the simulation results. So it's significative to do research on numerical value integral method.Precise Integration Algorithm is a highly precision method to solve differential equation under Hamilton system which presented by academician of Zhong Wanxie. This method, which based on 2N classification arithmetic, spurned difference scheme in traditional solution of dynamic equations. This paper adopted the precise integration algorithm to solve differential equations in digital simulation of power systems, and validated this arithmetic an efficient method by comparing simulation results using this method and traditional numerical value integral method. This paper mainly discussed the following aspects:(1) At first, this paper introduced simulation technology in power systems, and the research status quo and its application of Precise Integration Algorithm. Emphasis was put on the analysis of several methods for solving differential equations in power systems used at present. Further comparing analysis was also made to find out advantages and disadvantages of each method;(2) This paper has made research on the solution to homogeneous and no homogeneous differential equations using price integral arithmetic, and put emphasis on deriving the solving process of exponent matrix T. Compared performance of several popular precise integral schemes, the best scheme to solve differential equations in power systems can be found out;(3) Self-excitation of synchronous generator has been investigated. Taking into account of saturation characteristic of magnetic circuit of generators, the price integral format has been made by the price integral algorithm. The self-excitation creation has been judged by using the state-space method. Simulations were made separately using precise integral arithmetic and implicit trapezoid method. The simulation results showed that precise integration arithmetic had high computing precision and robustness; furthermore, the simulation speed could be accelerated by increasing the simulation step;(4) Considering excitation control and valve control with the linear optimal control method, precise integral scheme was constructed with the idea of precise integral arithmetic. An example of single machine infinite bus power system simulated using precise integral arithmetic and four-order Runge-Kutta method was given. The simulation results validated the efficiency of precise integral arithmetic in solving differential equations in power system.This paper found out a novel method for solving differential equations in power systems, and validated the efficiency of this method through the analysis of computation examples.