Mean first passage time in the stochastic security analysis of renewable energy power system

Mean first passage time in the stochastic security analysis of renewable energy power system The variability of renewable energy offers significant challenges to the power system security with a large penetration of renewables. The paper models the wind farm penetration as a Gaussian excitation in which the stochastic differential equations (SDEs) are considered to characterize wind energy uncertainties in nonlinear power systems. The SDE‐based power system model is first reduced to the averaged Itô SDEs by the stochastic averaging method. Then, a backward Kolmogorov equation for the conditional reliability function and the generalized Pontryagin equations governing the conditional moments of first passage time are established. Finally, numerical results are provided given the designated boundary and initial conditions. The first passage time of both single‐machine infinite‐bus power system and 3‐machine 9‐bus system under Gaussian excitation are studied. The analytical results are verified by using a Monte Carlo simulation. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Energy Research Wiley

Mean first passage time in the stochastic security analysis of renewable energy power system

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Publisher
Wiley Subscription Services, Inc., A Wiley Company
Copyright
Copyright © 2018 John Wiley & Sons, Ltd.
ISSN
0363-907X
eISSN
1099-114X
D.O.I.
10.1002/er.4003
Publisher site
See Article on Publisher Site

Abstract

The variability of renewable energy offers significant challenges to the power system security with a large penetration of renewables. The paper models the wind farm penetration as a Gaussian excitation in which the stochastic differential equations (SDEs) are considered to characterize wind energy uncertainties in nonlinear power systems. The SDE‐based power system model is first reduced to the averaged Itô SDEs by the stochastic averaging method. Then, a backward Kolmogorov equation for the conditional reliability function and the generalized Pontryagin equations governing the conditional moments of first passage time are established. Finally, numerical results are provided given the designated boundary and initial conditions. The first passage time of both single‐machine infinite‐bus power system and 3‐machine 9‐bus system under Gaussian excitation are studied. The analytical results are verified by using a Monte Carlo simulation.

Journal

International Journal of Energy ResearchWiley

Published: Jan 1, 2018

Keywords: ; ; ; ; ;

References

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