论文信息 - Derivation of the Brayton–Moser equations from a topological mixed potential function☆

Derivation of the Brayton–Moser equations from a topological mixed potential function☆

A topological mixed potential function, P*T, is defined and shown to be an exact differential. From P*T, the Brayton-Moser equations are obtained from topological relationships of the network and the constitutive relationships of the elements. A relationship between P*T and Brayton-Moser's mixed potential function, Q, is developed.

Leon Y. Bahar | Harry G. Kwatny | F. M. Massimo

[1] A. MacFarlane. Formulation of the State-space Equations for Non-linear Networks , 1967 .

[2] John W. Miles,et al. On the transformation of the linearized equation of unsteady supersonic flow , 1954 .

[3] An integral invariant formulation of a canonical equation set for non-linear electrical networks , 1970 .

[4] J. K. Moser,et al. A theory of nonlinear networks. I , 1964 .

[5] J. O. Flower. The existence of the mixed potential function , 1968 .

[6] F. J. Evans,et al. Variational analysis of electrical networks , 1973 .

[7] J. O. Flower. The topology of the mixed potential function , 1968 .