关键词: 瞬态场耦合, 自适应步长, 顺序耦合, 拉格朗日基函数, 低压断路器, 计算机辅助工程

Abstract: Non-equilibrium load residual accumulated in each iterative step could endangered numerical integration convergence when solving transient-fields coupling problems. Keeping the step small enough could guarantee the solution stability and precision but the efficiency was low. By extracting variable numerical solution of iterative step node coupling, a self-adaptive step sequential-interaction strategy was proposed, which could dynamically adjust the iteration steps according to the curve slope of coupling variables and a three-point derivation formula based on interpolation polynomial of Lagrange was constructed. For transient-fields coupling which included more than one coupling variables, a multimode variable problem of data interaction and self-adaptive step adjusting mechanisms were established by comparing the value of independent steps and system step. The unified simulation platform for heterogeneous Computer Aided Engineering (CAE) system was set up. Coupling problem of electromagnetic field and motion field which brought by interruption of low voltage moulded case circuit breaker was analysed. The result showed that the method was effective. Comparing to the method with fixed step, the solution efficiency was remarkably improved.

Key words: transient-fields coupling, self-adaptive step, sequential-interaction, Lagrange basis function, moulded case circuit breaker, computer aided engineering