✦ LIBER ✦

The lagrange equations in electrical networks

✍ Scribed by Frederick L. Ryder

Publisher: Elsevier Science
Year: 1958
Tongue: English
Weight: 650 KB
Volume: 266
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(58)90807-x

No coin nor oath required. For personal study only.

✦ Synopsis

The dynamic equations of Lagrange, which are known to apply for certain lumped-element electrical networks, are derived for such networks by a method which results in expressions in which the usual differentiations need not be carried out. These expressions, one suitable for mesh analysis and the other for nodal analysis, are shown to reduce to equations previously obtained by energy considerations in the steady-state case, and, like those equations, are particularly usefld when transformers are present. An example is given to illustrate the method of application, as well as to show the relative advantages of the mesh and nodal forms of the expressions.

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