Abstract
The proposed generalized Falk (GF) method offers an extremely simple and convenient way to solve coupled circuit-field problems in circuit simulators by transforming the discretized governing-field equations into guaranteed stable-and-passive one-dimensional (1-D) equivalent-circuit systems, which are then combined with the circuit part of the overall coupled problem. More efficient than the traditional Lanczos-type methods, the GF method transforms a general finite-element system represented by a system of full matrices into an identity capacitance (mass) matrix and a tridiagonal conductance (stiffness) matrix. No positive poles are produced; all transformed matrices remain positive definite. The resulting 1-D equivalent-circuit system contains only resistors, capacitors, inductors, and current sources. Several numerical examples are provided.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1209-1219 |
| Number of pages | 11 |
| Journal | IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems |
| Volume | 23 |
| Issue number | 8 |
| DOIs | |
| State | Published - Aug 2004 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Software
- Computer Graphics and Computer-Aided Design
- Electrical and Electronic Engineering
Keywords
- Converters
- Coordinate transformation
- Coupled circuit-field problems
- Electrothermal simulation
- Insulated gate bipolar transistor (IGBT) device
- Power electronics
- Reorthogonalization
- Stable and passive one-dimensional (1-D) equivalent thermal circuit