Name
Abstract | ||
|---|---|---|
This paper describes a method of determining the forced periodic steady state response of non-linear circuits. The method is closely related to the work of Aprille and Trick (Proc. IEEE, 60, 108-114 (1972)) and also to the finite difference method for solving a boundary value problem.The new approach is a shooting method in the sense that in every iteration an initial value problem is solved. It is, however, also a relaxation method, because in every iteration a periodic wave-form is obtained. This is achieved by solving in each step a linear time-dependent differential equation whose solution can be easily transformed into a periodic solution satisfying this linear equation. Because the iteration takes place on wave-forms rather than initial values and every solution satisfies the boundary conditions, the method is robust. It will be shown that for a causal approximation of the time derivatives the iterated wave-forms are equal to those found using the finite difference methods. |
Year | DOI | Venue |
|---|---|---|
1994 | 10.1002/cta.4490220107 | INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS |
Keywords | Field | DocType |
steady state analysis | Differential equation,Boundary value problem,Shooting method,Mathematical analysis,Relaxation (iterative method),Periodic steady-state analysis,Initial value problem,Finite difference method,Iterated function,Mathematics | Journal |
Volume | Issue | ISSN |
22 | 1 | 0098-9886 |
Citations | PageRank | References |
1 | 0.41 | 0 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Tom A. M. Kevenaar | 1 | 344 | 21.90 |