Abstract
A description is given of homotopy-based computational parallel algorithms for solving for all the roots of a system of algebraic polynomial equations. Also presented is a convenient polynomial representation of the load flow equations of power systems. The algorithm techniques are then applied to obtain all steady-state solutions of the load flow for five-bus and seven-bus power system networks. A special probability-one homotopy method is tailored for the load flow to reduce the computational complexity while still guaranteeing the finding of all solutions computationally. More importantly and practically, the numerical implementation of the solution procedures exploits inherent parallelism in the load flow equations to be efficiently executed on massively parallel distributed-memory multiprocessors.
| Original language | English |
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| Pages (from-to) | 2173-2178 |
| Number of pages | 6 |
| Journal | Proceedings of the IEEE Conference on Decision and Control |
| Volume | 3 |
| DOIs | |
| Publication status | Published - 1989 |
| Externally published | Yes |
| Event | Proceedings of the 28th IEEE Conference on Decision and Control. Part 2 (of 3) - Tampa, FL, USA Duration: 13 Dec 1989 → 15 Dec 1989 |