Electrical endurance design of multi-operation isolators using semi-physical simulation via algebraic multigrid iteration

This paper presents an electrical endurance design method of multi-operation isolators using semi-physical simulation via algebraic multigrid iteration (AMG). The mathematical model of Magnetohydro dynamics (MHD) is built by simultaneous equations of mass conservation, horizontal momentum, vertical momentum, conservation equation of ion energy, as well as electromagnetic equation. In addition, the physical properties of plasma medium in non-solid state, including thermal conductivity, electrical conductivity, dielectric density over temperature are used to dynamically update the coupled multi-physics. The established model can thus be solved via AMG, which is a fast iterative method for solving large-scale sparse normal equations based on geometric multigrid method. The finite element method (FEM) is likewise conducted under the various operating conditions to seek arc plasma temperature, the electric potential, electromagnetic distribution. The electrical endurance reliability can be reckoned using the maximum likelihood estimator of the desired shape parameters and scale parameters of Weibull's distribution, by integrating analogical semi-physical simulation. The physical experiment is carried out which involves electrical safety test, the withstanding voltage test, also called Hipot test or dielectric test, arc ignition test, resistance test. It proves that the proposed method can realize the endurance design of electrical equipment with high convergence efficiency and low residual error, and is especially suitable for the analysis under multiple working conditions.