Transactions of China Electrotechnical Society  2019, Vol. 34 Issue (10): 2069-2078    DOI: 10.19595/j.cnki.1000-6753.tces.190112
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Quadratic Programming for Power System Economic Dispatch Based on the Conditional Probability Distribution of Wind Farms Sum Power
Tang Chenghui1, Zhang Fan1, Zhang Ning2, Qu Haoyuan1, Ma Li1
1. State Grid Energy Research Institute Co. Ltd Beijing 102209 China
2. Department of Electrical Engineering Tsinghua University Beijing 100084 China

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Abstract  In the power system stochastic economic dispatch with wind power integration, the uncertainty cost caused by wind power forecast error needs to be considered. The uncertainty cost is usually formulated as an integral form of wind power random variable and solved based on an iterative algorithm, which is difficult to guarantee the convergence performance due to the step size selection. In this paper, a convex optimization for economic dispatch based on multiple wind farms sum power conditional distribution was proposed. Firstly, the wind power marginal distribution was modeled based on the mixture form of truncated versatile distribution. Copula theory was used to obtain the conditional distribution of multiple wind farms sum power, and the power correlation of multi wind farms was considered to avoid the use of high-dimensional distribution. Taking the sum power conditional distribution as input, an economic dispatch model was established to optimize the unit output and system reserve confidence. The economic dispatch model with wind power integration was transformed into a quadratic programming, which can be solved by off-the-shelf solver reliably and efficiently. Finally, the proposed methods were verified in IEEE 30-Bus system.
Key wordsEconomic dispatch      wind power uncertainty      sum power conditional distribution      mixture form of truncated versatile distribution      Copula theory      quadratic programming     
Received: 25 January 2019      Published: 29 May 2019
PACS: TM732  
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Tang Chenghui
Zhang Fan
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Qu Haoyuan
Ma Li
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Tang Chenghui,Zhang Fan,Zhang Ning等. Quadratic Programming for Power System Economic Dispatch Based on the Conditional Probability Distribution of Wind Farms Sum Power[J]. Transactions of China Electrotechnical Society, 2019, 34(10): 2069-2078.
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