Cumulant based probabilistic power system simulation using Laguerre polynomials

Journal Article · Thu Nov 30 23:00:00 EST 1989 · IEEE Transactions on Energy Conversion; (USA)

DOI:https://doi.org/10.1109/60.41715· OSTI ID:5414195

Tian, W D ^[1]; Sutanto, D; Lee, Y B; Outhred, H R ^[2]

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1. EPRI, Beijing (CN)
2. New South Wales Univ., Kensington (Australia)

This paper describes a new cumulant method of probabilistic power system simulation using the Laguerre polynomial expansion. In this method, Laguerre polynomials are used for obtaining the equivalent load duration probability density function from cumulants representing the load and generator outage probability density functions. A recursive algorithm is used for calculating moments and cumulants which enables practically any number of cumulants to be used in the simulation. The results of testing the method on the IEEE Reliability Test System are presented. The accuracy and computational efficiency of the method are compared with the conventional cumulant method based on the Hermite polynomial expansion.

• OSTI ID: 5414195
• Journal Information: IEEE Transactions on Energy Conversion; (USA), Journal Name: IEEE Transactions on Energy Conversion; (USA) Vol. 4:4; ISSN ITCNE; ISSN 0885-8969
• Country of Publication: United States
• Language: English

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