Probabilistic Load Flow Evaluation With Hybrid Latin Hypercube Sampling and Cholesky Decomposition

Author

Yu, H. ; Chung, C.Y. ; Wong, K.P. ; Lee, H.W. ; Zhang, J.H.

Author_Institution

Dept. of Electr. Eng., Hong Kong Polytech. Univ., Hong Kong

Volume

24

Issue

2

fYear

2009

fDate

5/1/2009 12:00:00 AM

Firstpage

661

Lastpage

667

Abstract

Monte Carlo simulation method combined with simple random sampling (SRS) suffers from long computation time and heavy computer storage requirement when used in probabilistic load flow (PLF) evaluation and other power system probabilistic analyses. This paper proposes the use of an efficient sampling method, Latin hypercube sampling (LHS) combined with Cholesky decomposition method (LHS-CD), into Monte Carlo simulation for solving the PLF problems. The LHS-CD sampling method is investigated using IEEE 14-bus and 118-bus systems. The method is compared with SRS and LHS only with random permutation (LHS-RP). LHS-CD is found to be robust and flexible and has the potential to be applied in many power system probabilistic problems.

Keywords

Monte Carlo methods; load flow; probability; 118-bus systems; Cholesky decomposition; IEEE 14-bus system; Monte Carlo simulation method; hybrid Latin hypercube sampling; power system probabilistic analyses; probabilistic load flow evaluation; simple random sampling; Latin hypercube sampling; Monte Carlo simulation; probabilistic load flow calculation; uncertainty;

fLanguage

English

Journal_Title

Power Systems, IEEE Transactions on

Publisher

ieee

ISSN

0885-8950

Type

jour

DOI

10.1109/TPWRS.2009.2016589

Filename

4808223