Table of Contents
Advances in Electrical Engineering
Volume 2015, Article ID 328517, 13 pages
Research Article

A Cancellation-Free Symbolic Sensitivity Technique Based on Network Determinant Expansion

Department of Electrical Engineering, Ulyanovsk State Technical University, 32 Severny Venets Street, Ulyanovsk 432027, Russia

Received 28 July 2014; Revised 30 November 2014; Accepted 30 November 2014

Academic Editor: Ramón M. Rodríguez-Dagnino

Copyright © 2015 Vladimir Filaretov et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The generalization of Bode’s sensitivity analysis technique for all types of the transfer functions and circuit elements is presented in the paper. The proposed formulae for first- and second-order symbolic sensitivity calculation provide the compact size of obtained expression and have the advantages of cancellation-free sum-of-product terms and matrix-free computation. This is achieved by means of the concept of high order summative cofactors and the generalized parameter extraction method. The proposed technique is implemented in symbolic circuit analysis program Cirsym. Illustrative example on symbolic sensitivity circuit analysis and comparison of the presented technique with the transimpedance method and the method based on the modified Coates flow-graph are given.