Title :
Available Energy of Proper LLTIP One-Ports
Author :
Sommariva, Antonino M.
Author_Institution :
Dept. of Inf. Eng., Univ. of Brescia, Brescia, Italy
fDate :
3/1/2011 12:00:00 AM
Abstract :
A method for evaluating the available energy (as defined in 1981 by Wyatt ) of the proper linear lumped time-invariant passive one-ports of any order is proposed. The devised approach borrows many tools and techniques from the calculus of variations (Euler-Lagrange equations and natural transversality conditions). However, the final formula of the available energy has the simple structure of a quadratic form in the one-port state vector. To illustrate the method and the related energy matching problem, two numerical examples (one first-order and one second-order one-port) are discussed in detail.
Keywords :
linear network analysis; lumped parameter networks; Euler-Lagrange equations; LLTIP one-ports; available energy; energy matching problem; natural transversality conditions; one-port state vector; proper linear lumped time-invariant passive one-ports; Available energy; calculus of variations; passivity; proper linear lumped time-invariant (LLTI) one-ports;
Journal_Title :
Circuits and Systems I: Regular Papers, IEEE Transactions on
DOI :
10.1109/TCSI.2010.2073850
