A Fast Algorithm to Calculate the Transfer Impedance of Arbitrarily Shaped Power Distribution Network

博士 === 國立臺北科技大學 === 電腦與通訊研究所 === 98 === This dissertation is based on the Green’s function of the 2-D Helmholtz equation to derive the double infinite series summation impedance matrix of rectangular/isosceles triangular power bus. However, a double infinite series summation usually requires long co...

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Bibliographic Details
Main Authors: Kuo-Chiang Hung 洪國強, 洪國強
Other Authors: 林丁丙
Format: Others
Language:en_US
Published: 2010
Online Access:http://ndltd.ncl.edu.tw/handle/3xvkv5
Description
Summary:博士 === 國立臺北科技大學 === 電腦與通訊研究所 === 98 === This dissertation is based on the Green’s function of the 2-D Helmholtz equation to derive the double infinite series summation impedance matrix of rectangular/isosceles triangular power bus. However, a double infinite series summation usually requires long computation time. In order to reduce the calculation time, the double infinite series summation has been reduced to the single finite series summation by using Fourier series summation formulas. Moreover, the segmentation method is very accurate to calculate the impedance matrix of an arbitrarily power-bus by combination of two or more rectangular/isosceles triangular power-buses. Furthermore, to find the optimal positions of decoupling capacitors, the voltage distribution of an arbitrarily power-bus can be simulated by a simulator PowerSI. Finally, the agreement between the measured results and simulated results of the transfer impedance of an arbitrarily power-bus structure can illustrate the applicability to suppress the resonant modes by few decoupling capacitors.