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Sustainability 2015, 7(4), 4582-4599; doi:10.3390/su7044582

Research on the Multi-Period Small-Signal Stability Probability of a Power System with Wind Farms Based on the Markov Chain

1,†
,
1,†
,
1,* , 1,†
and
2,†
1
Electrical and Electronic Engineering Institute, North China Electric Power University, Mailbox 435, No. 2 Beinong Road, Changping District, Beijing 102206, China
2
Gansu Electrical Power Research Institute, No.8 Binhe East Road, Chengguan North District, Lanzhou 730030, China
These authors contributed equally to this work.
*
Author to whom correspondence should be addressed.
Academic Editors: Nikos E. Mastorakis and Cornelia A. Bulucea
Received: 13 January 2015 / Revised: 7 April 2015 / Accepted: 9 April 2015 / Published: 17 April 2015
(This article belongs to the Special Issue Sustainability in Electrical Engineering)
View Full-Text   |   Download PDF [2001 KB, uploaded 17 April 2015]   |  

Abstract

In the traditional studies on small-signal stability probability of a power system with wind farms, the frequency of wind speed was often assumed to obey to some extent a particular probability distribution. The stability probability that is thus obtained, however, actually only reflects the power system stability characteristics on long time scales. In fact, there is a direct correlation between the change of wind speed and the current state of wind speed, resulting in the system stability characteristics in different time periods having a great difference compared with that of long time scales. However, the dispatchers are more concerned about the probability that the power system remains stable in the next period or after several periods, namely the stability characteristics of the power system in a short period or multi-period. Therefore, research on multi-period small-signal stability probability of a power system with wind farms has important theoretical value and practical significance. Based on the Markov chain, this paper conducted in-depth research on this subject. Firstly, the basic principle of the Markov chain was introduced, based on which we studied the uncertainty of wind power by adopting the transition matrix and the wind speed−power output transformation model and established the probability distribution model of multi-period wind power. Then the boundary-based small-signal stability probability evaluation method was used to establish an evaluation model of multi-period small-signal stability probability of power system with wind farms. Finally, taking the power system with two wind farms as an example, we analyzed its small-signal stability probability and studied the influence of the initial states of wind speed and different periods on the probability of stability. This study provides a new method and support for analyzing the small-signal stability probability of a power system with wind farms. View Full-Text
Keywords: power system with wind farms; small-signal stability probability; multi-period; Markov chain power system with wind farms; small-signal stability probability; multi-period; Markov chain
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MDPI and ACS Style

Ge, R.; Liu, W.; Li, H.; Zhuo, J.; Wang, W. Research on the Multi-Period Small-Signal Stability Probability of a Power System with Wind Farms Based on the Markov Chain. Sustainability 2015, 7, 4582-4599.

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