Probabilistic load flow calculation of power distributive network based on Laplace transformation technique

Abstract

Abstract: After connecting distributive photovoltaic power supply into regional power distribution network, the change of load flow is made to have a certain uncertainty due to the randomness and correlation of the photovoltaic power supply.Therefore, aimed at the uncertainty of the photovoltaic power supply and fluctuating load, a probabilistic load flow calculation method is proposed for the power distribution network based on the semi-invariable method of Laplace transformation technique. By means of the Laplacian transformation feature and semi-invariable, the probabilistic density function or cumulative distribution function of the random variable is estimated effectively and the random variation condition of power distribution network which includes the connected distributive photovoltaic power supply into itself. In order to verify the combination effect of semi-invariable with Laplace transformation technique, the simulation result is compared with the results of Monte Carlo simulation method and maxi-entropy principle-based semi-invariable method. It is shown by a computational example of power distribution network with IEEE-33 node that the proposed method will have a higher computational accuracy, faster calculation speed, and a lower computational burden than the maxi-entropy principle-based semi-invariable method.

Key words: photovoltaic power supply, probabilistic load flow calculation, Laplace transformation technique, combined semi-invariable

CLC Number:

TM615
TM926

CHEN Wei, XIA Chun-hui, PEI Xi-ping. Probabilistic load flow calculation of power distributive network based on Laplace transformation technique[J]. Journal of Lanzhou University of Technology, 2020, 46(3): 81-87.

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