The Peec Method Based On Triangle Subdivision Research And Its Application In The Microstrip Circuit Modeling

The Partial Element Equivalent Circuit (PEEC) formulation has established models of conductor, dielectric and magnetic medium after decades of development. Recent years processing capacity and calculation efficiency of PEEC method has been ameliorated continuously. PEEC method has found many applications in electromagnetic compatibility, signal integrity, etc. To improve PEEC algorithm’s ability of dealing with irregular geometry, in this thesis triangulation mesh is applied in PEEC method. The main contents are listed below.Firstly, the Partial Element Equivalent Circuit formulation based on triangulation mesh has been presented. Rao-Wilton-Glissorn(RWG) function is applied as both basis function and test function.The integral equation is discreted referring to Galerkin’s method and the new definition of the partial elements is put forward. According to the characteristics of triangulation mesh, the equivalent circuit is solved by means of modified nodal approach(MNA),which is practical and suitable for programming.Secondly, the Partial Element Equivalent Circuit formulation based on triangulation is used in modeling the microstrip structure.The Discrete Complex Image Method and Generalized Peneil-of-function are applied here in order to calculate the closed-form Green’s function for microstrip structure. Some specific examples are given to illustrate the effectiveness and correctness of the algorithm.Thirdly, this thesis proposes an adaptive frequency sampling technique and a circuit node reduction method. The adaptive frequency sampling technique, which can greatly increase the computation efficiency, is based on cubic spline interpolating method. Examples are given showing that adaptive sampling has obvious advantage in accuracy and efficiency compared with uniformly-spaced sampling. Y-△circuit transformation is the foundation of node reduction of equivalent circuit. One node of circuit can be reduced at every Y-△transformation turn, so that, after several times transformation, a simplified circuit containing only a small amount of nodes and elements can be attained. Practical significance of the remaining elements can be seen, and full wave characteristics of PEEC method are retained.