THE USE OF WEIGHT FUNCTIONS IN THE TRANSIENT ANALYSIS OF NONLINEAR CIRCUITS
Abstract
Light damping is described by a second-order differential equation for a nonlinear electric circuit. Using the principle of variation of parameters, a reduction is made of given equation to 2 first-order differential equations. A weight function method is applied to these 2 equations. The result of this analysis is presented by 2 transient-response curves. Three systems of equations are studied. For the first 2 systems, the results obtained are either better or comparable to those of Kryloff and Bogoliuboff's method. Some improvement of Kryloff and Bogoliuboff's method, using the results of the weight function method, is considered, and excellent results are obtained. The third system is an example of use of the undamped frequency in the assumed solution, which is a generalization of the Kryloff and Bogoliuboff method. For the single-term approximation, error increases with increasing nonlinearity due to the presence of higher harmonics. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 08, 1961
- Accession Number
- AD0257943
Entities
People
- C.s. Yen
Organizations
- Stanford University