On maximal power transfer problem

✍ Scribed by F.M. Reza

• Book ID: 103091688
• Publisher: Elsevier Science
• Year: 1988
• Tongue: English
• Weight: 512 KB
• Volume: 325
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(88)90444-9

✦ Synopsis

Given a source vector e E c" applied to a specljied n-port of open-loop impedance Z O terminated in any n-port load of a family (N).

It is desired to determine the optimal load Z which draws the maximum active power. The proposed method of solution of this paper employs operator theoretic concepts of functional analysis and inequalities on positive operators. Among other results, it is shown that the maximal active power transfer across Z, terminated in resistive n-ports is obtained by the network with R = -provided R and Z, are members of a normal family of n-ports. The paper encompasses in fulI, the results of some recent contributions, and the proposed new approach invites further generalizations and applications.