Optimization of Dynamic Characteristics for Electromagnetic Relay via Semi-Analytical Modeling

摘要

Generally dynamic characteristics of actuators such as electromagnetic relay can be solved with Finite Element (FE) method, of which the enormous calculation time consumed virtually prohibits its utility in handling optimization problems.In this paper a semi-analytical model was established based on Magnetic Equivalent Circuit (MEC) method and FE method.To achieve fast calculation Magnetic Equivalent Circuit (MEC) method is applied for electromagnetic system modeling.And to ensure accuracy, compensation matrix Cm×n is introduced to compensate the errors caused by flux leakage and saturation according to results obtained from the Finite Element (FE) method.As a counterpart Deformation Energy (DE) method is used for analytical modeling for mechanical system which includes mainly recoverable reed producing counter-force.Thus dynamic modeling and the subsequent dynamic parameters can be available by solving Ordinary Differential Equations (ODE) by 4th order Runge-Kutta method and the comparison with results from FE method indicates the feasibility and efficiency of the new approach.The breaking speed and closure speed of the contact, which are closely related to electrical arc making and contact loss caused by bounce respectively, are combined as an objective function to optimize with one of the stochastic approaches-Particle Swarm (PS) algorithm.Thus an optimum combination of input parameters can be obtained.The approach can also be applied in optimizations for other mechanical and electrical devices.