Title :
Calculation of transient response
Author_Institution :
State Electricity Commission of Victoria, Radio Section, Melbourne, Australia
Abstract :
Given the rational algebraic function X(s) = an¿1Sn¿1+an¿2Sn¿2+¿+a1s+a0/sn+bn¿1sn¿1+¿+b1s+b0 it is shown that the corresponding time function is expressed simply by the linear combination x(t) = an¿1qn¿1(t)+an¿2qn¿2(t) +¿ +a1q1(t) + a0q0(t) where functions qt(t) are the last column elements of the transition matrix M(t) = exp (At).
Keywords :
analysis and synthesis methods; circuit theory; multivariable systems; networks (circuits);
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19680199
