On the Dynamic Equations of a Class of Nonlinear RLC Networks
- 1 December 1965
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuit Theory
- Vol. 12 (4) , 475-489
- https://doi.org/10.1109/tct.1965.1082521
Abstract
A method for obtaining the dynamic equations for a broad class of driven nonlinear networks is presented. The parametric approach to element value characterization leads to a mathematical description for any unicursal network element. The parametric representation allows the mathematical description of any RLC network which contains such elements and independent sources by means of a set of coupled algebraic-differential equations. The conditions under which these governing equations can be reformulated in the mathematically convenient normal form are given with the explicit means for doing so. Finally, simple methods are presented for revising the original network model so that the normal form exists over the entire dynamic space under mild restrictions.Keywords
This publication has 7 references indexed in Scilit:
- A method of network programming in problems of nonlinear optimizationAutomation and Remote Control, 2009
- Trajectories of nonlinear RLC networks: A geometric approachIEEE Transactions on Circuit Theory, 1972
- On the Equations of Nonlinear NetworksIEEE Transactions on Circuit Theory, 1966
- A theory of nonlinear networks. IQuarterly of Applied Mathematics, 1964
- Bistable Systems of Differential Equations with Applications to Tunnel Diode CircuitsIBM Journal of Research and Development, 1961
- Solving Steady-State Nonlinear Networks of 'Monotone' ElementsIRE Transactions on Circuit Theory, 1961
- The order of complexity of electrical networksProceedings of the IEE Part C: Monographs, 1959