基于随机规划的正负旋转备用容量求解方法

doi:10.11930/j.issn.1004-9649.2016.04.073.06

中国电力 ›› 2016, Vol. 49 ›› Issue (4): 73-78.DOI: 10.11930/j.issn.1004-9649.2016.04.073.06

基于随机规划的正负旋转备用容量求解方法

陈刚¹,刘建坤²,周前²,张宁宇²

1. 国网江苏省电力公司,江苏南京 210024;
2. 国网江苏省电力公司电力科学研究院,江苏南京 211103

收稿日期:2016-01-20 修回日期:2016-04-27 出版日期:2016-04-20 发布日期:2016-04-27
作者简介:陈刚(1972-),男,江苏苏州人,高级工程师,从事电力系统调度运行、电力系统规划以及柔性交直流输电等研究工作。E-mail: chengang_js@js.sgcc.com.cn

A Stochastic Programming Based Algorithm for Computing Optimal Positive and Negative Spinning Reserve

CHEN Gang¹,LIU Jiankun², ZHOU Qian², ZHANG Ningyu²

1. State Grid Jiangsu Electric Power Company, Nangjing 210024, China;
2. State Grid Jiangsu Electric Power Research Institute, Nanjing 211103, China

Received:2016-01-20 Revised:2016-04-27 Online:2016-04-20 Published:2016-04-27

摘要/Abstract

摘要： 为研究正负旋转备用容量对电力系统运行费用的影响,提出了一种随机规划二阶段补偿模型,其目标函数包括计划运行费用和补偿费用。在不同正负备用容量情况下,采用拉格朗日松弛法和Monte Carlo模拟对模型进行求解,结果表明：系统的总运行费用随着负备用的增加始终单调递增; 当系统中负荷和风电功率的随机性较强时,最大和最小正旋转备用之间存在最优值使得总运行费用最小。最后采用粒子群(PSO)智能算法对10机系统的最优正旋转备用容量进行了求解。

关键词: 风电, 正负旋转备用, 随机规划, 蒙特卡罗, 粒子群算法, 拉格朗日松弛法

Abstract: This paper introduces a stochastic programming based model with two-stage recourse to study the impact of positive and negative spinning reserve on the operating cost of a power system. The objective function of the proposed model is the total system operating cost which consists of two parts: one is planned operating cost calculated based on forecast load and wind power output under certainty; the other is recourse cost associated with running positive or negative spinning reserve as well as purchasing extra positive spinning reserve when active power is imbalanced. The recourse cost is presented in the form of expected value due to the stochastic nature of load and wind power. The impact of different positive and negative spinning reserve on the operating cost is analyzed using LR(Lagrangian Relaxation) method and Monte Carlo simulation. The results show that: the total system operating cost is rising in line with the increase of negative spinning reserve. When the randomness associated with load and wind power is high, an optimal reserve capacity exits between max and min positive reserve to minimize the total operating cost. Finally, the PSO(Particle Swarm Optimization) algorithm is applied to a system of 10 units to solve the optimal positive and negative spinning reserve.

Key words: wind power, positive and negative spinning reserve, stochastic programming, Monte Carlo, PSO, Lagrangian relaxation method

中图分类号:

TM73

陈刚,刘建坤,周前,张宁宇. 基于随机规划的正负旋转备用容量求解方法[J]. 中国电力, 2016, 49(4): 73-78.

CHEN Gang,LIU Jiankun, ZHOU Qian, ZHANG Ningyu. A Stochastic Programming Based Algorithm for Computing Optimal Positive and Negative Spinning Reserve[J]. Electric Power, 2016, 49(4): 73-78.

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基于随机规划的正负旋转备用容量求解方法

A Stochastic Programming Based Algorithm for Computing Optimal Positive and Negative Spinning Reserve

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基于随机规划的正负旋转备用容量求解方法

A Stochastic Programming Based Algorithm for Computing Optimal Positive and Negative Spinning Reserve

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