固有モードによる時間積分を用いた電磁界の過渡解析

抄録

In this paper, transient analysis of electric field is performed by the integral with time based on the formulation of boundary element method. When the equation of boundary element method is used for transient response analysis, the terms of the domain integrals is used for the formulation by substituting the unknowns on the boundary, and unknown variables are defined in the conductor regions because the domain integrals is unavoidable. Then the state equations for the variables in conductor regions are made and they are solved by the integration with time using eigenmodes.
It is shown that the integrations with respect to time using the change of variable by eigenvalues and eigenmode give accurate solutions in comparison with step-by-step method because of the analytical integrations. Moreover, in the proposed method, numerical inverse Laplace transforms is not necessary, and the integrations with respect to time for the external condition which does not give Laplace transforms can be performed by numerical integrations. Non-conducting regions can be remove from the region to be analyzed and open boundary problems can be solved by the proposed method. The applicability of the method was verified by using one-dimensional and two-dimensional problems.