Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
806478 | Reliability Engineering & System Safety | 2010 | 15 Pages |
Abstract
While probabilistic methods have been used extensively in simulating stationary power systems, there has not been a systematic effort in developing suitable algorithms for stochastic simulations of time-dependent and reconfiguring power systems. Here, we present several versions of polynomial chaos that lead to a very efficient approach especially in low dimensions. We consider both Galerkin and Collocation projections, and demonstrate how the multi-element decomposition of random space leads to effective resolution of stochastic discontinuous solutions. A comprehensive comparison is presented for prototype differential equations and for two electromechanical systems used in an electric ship.
Related Topics
Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
P. Prempraneerach, F.S. Hover, M.S. Triantafyllou, G.E. Karniadakis,