Mixed Numerical Integral Algorithm for Full Dynamic Simulation of the Power System

Full dynamic simulation of the power system is such a method in which the electro-mechanical transient, and medium-term and long-term dynamic phenomena are unified. For the large difference between the time constants of dynamic simulation models, it is a typical nonlinear stiff system simulation, and the numerical integral algorithm plays a key role in simulation. Based on the analysis of the requirements for solving nonlinear stiff systems and the main problems in the existing numerical integral algorithm for dynamic simulation of the power system, a new mixed integral algorithm is proposed. Integrating the advantages of both implicit trapezoidal integration with fixed time step and Gear variable time step algorithm, the new algorithm can greatly improve the speed of transient stability in full dynamic simulation and easily deal with the discontinuous equations in control systems. The results from two simulation cases show that the proposed algorithm is effective and feasible.