PROBABILITY ANALYSIS OF STATIC VOLTAGE STABILITY BASED ON SEMI-INVARIANT AND MAXIMUM ENTROPY PRINCIPLE

Zheng Xiaotian, Xia Chengjun

Acta Energiae Solaris Sinica ›› 2022, Vol. 43 ›› Issue (3) : 126-132.

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Acta Energiae Solaris Sinica ›› 2022, Vol. 43 ›› Issue (3) : 126-132. DOI: 10.19912/j.0254-0096.tynxb.2020-0628

PROBABILITY ANALYSIS OF STATIC VOLTAGE STABILITY BASED ON SEMI-INVARIANT AND MAXIMUM ENTROPY PRINCIPLE

  • Zheng Xiaotian, Xia Chengjun
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Abstract

Aiming at the problem of static voltage stability analysis with uncertain output, a probabilistic analysis method of static voltage stability based on semi-invariant and maximum entropy principle is proposed. First, after randomly generating several scenes by Latin hypercube sampling method, the K-means algorithm is used to perform scene clustering, and higher moments and semi-invariants of each cluster are obtained. Then, the maximum entropy model is established to fit the probability distribution curve of the load margin, and then the distribution curve of each cluster is weighted to obtain the total distribution function. Finally, a simulation experiment is performed on the IEEE 30-bus system, and the calculation result is compared and verified with the Monte Carlo method.

Key words

renewable energy / probability distributions / semi-invariant / maximum entropy methods

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Zheng Xiaotian, Xia Chengjun. PROBABILITY ANALYSIS OF STATIC VOLTAGE STABILITY BASED ON SEMI-INVARIANT AND MAXIMUM ENTROPY PRINCIPLE[J]. Acta Energiae Solaris Sinica. 2022, 43(3): 126-132 https://doi.org/10.19912/j.0254-0096.tynxb.2020-0628

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