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Uncertainty quantification in simulations of power systems: Multi-element polynomial chaos methods

P. Prempraneerach, F.S. Hover, M.S. Triantafyllou and G.E. Karniadakis

Reliability Engineering and System Safety, 2010, vol. 95, issue 6, 632-646

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.

Keywords: Uncertainty analysis; Monte-Carlo simulation; Power systems (search for similar items in EconPapers)
Date: 2010
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:95:y:2010:i:6:p:632-646

DOI: 10.1016/j.ress.2010.01.012

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