Fast algorithm of Modal Expansion Method for Calculating Transfer Impedance of Arbitrary Shape Power Bus

Single summation expression in combination with modified segmentation method for calculating transfer impedance of an arbitrary shaped power bus

“…The double/single infinite series summation impedance matrix of rectangular power-bus is expressed in [1], [3], and the double/single infinite series summation impedance matrix of isosceles triangular is to be represented from [2], [4].…”

“…The parameter a is the side length of the isosceles triangular power-bus and h is the thickness of the dielectric between the power and ground planes. The double infinite series summation for the impedance matrix equation can be used to calculate the transfer impedance of the isosceles triangular power-bus [4]. By using the Fourier series summation formulas (1) and (6)…”

“…However, double infinite series summation usually requires a long computation time. In order to reduce the calculation time, fast algorithms have been developed in recent research [3], [4]. Furthermore, an arbitrarily shaped power-bus structure is analyzed using the single infinite series summation and segmentation method [5].…”