摘要
在含风电电力系统随机调度中,需要考虑由风电功率的预测误差导致的随机性成本,通常为风电功率随机变量的积分形式,并基于迭代算法求解。迭代算法在求解过程中由于步长选取等原因,难以保证较好的收敛性能。本文提出一种基于风电场总功率条件分布的经济调度二次规划方法,首先基于截断通用分布的混合形式对风电功率边缘分布建模,结合Copula理论,得到多风电场总功率条件分布,在避免使用高维分布的基础上考虑多风电场出力的相关性。以总功率条件分布为输入,建立同时优化机组出力和系统备用置信度的经济调度模型。将含风电功率积分形式的调度模型转化为二次规划形式,从而能够被现有的求解软件高效可靠求解。最后,在IEEE30-Bus标准系统中对本文方法进行了验证。
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.
作者
唐程辉
张凡
张宁
曲昊源
马莉
Tang Chenghui;Zhang Fan;Zhang Ning;Qu Haoyuan;Ma Li(State Grid Energy Research Institute Co. Ltd Beijing 102209 China;Department of Electrical Engineering Tsinghua University Beijing 100084 China)
出处
《电工技术学报》
EI
CSCD
北大核心
2019年第10期2069-2078,共10页
Transactions of China Electrotechnical Society
基金
国家重点研发计划(2016YFB0900100)
国网公司科技项目"全国统一电力市场架构设计及量化评估技术研究"资助项目
关键词
经济调度
风电随机性
总功率条件分布
截断通用分布的混合形式
COPULA理论
二次规划
Economic dispatch
wind power uncertainty
sum power conditional distribution
mixture form of truncated versatile distribution
Copula theory
quadratic programming
