A precise integration single-step method for nonhomogeneous dynamic equations
1.State Grid Shanghai Electric Power Company UHV Converter Station Branch;2.State Grid Hubei Electric Power Co., Ltd.;3.Guangzhou Bureau, CSG EHV Power Transmission Company;4.State Grid Hubei Electric Power Research Institute;5.State Grid Shanghai Municipal Electric Power Company UHV Converter Station Branch;6.State Grid Anhui Electric Power Co., Ltd. Maintenance Company
Aiming at the nonhomogeneous equation used for a dynamic system, an efficient precise integration single-step method was proposed combined with the precise integration method (PIM) and the differential quadrature method (DQM). In the numerical integration process, the state matrix inversion was avoided and is estimated by the explicit Runge-Kutta method in the same order with DQM. is calculated by the PIM for the proposed algorithm, and the Duhamel integration term is calculated by the s-order s-order time-domain DQM. The computation formula is uniform and easy to be programmed, and the variable order and step-size can be flexibly realized. Compared with other single-step method and the predictor-corrector symplectic time-subdomain algorithm , the simulation results showed that the method has highly computational precision, high efficiency and good stability. It has great advantages in solving time response problems for large-scale dynamic systems.