| 引用本文: | 马 静,高 翔,李益楠,王增平.考虑风速随机特征的多工况电力系统稳定性分析[J].电力自动化设备,2016,36(8): |
| MA Jing,GAO Xiang,LI Yinan,WANG Zengping.Stability analysis considering time-varying wind speed for power system with multiple operating conditions[J].Electric Power Automation Equipment,2016,36(8): |
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| 摘要: |
| 提出一种考虑风速随机特征的多工况电力系统稳定性分析方法。利用参数Weibull模型对短时间内条件风速趋势进行拟合预测，并将风速区间化，计算各区间的条件特征风速概率密度矩阵，再根据条件特征风速确定系统的运行工况。在此基础上，建立考虑风速随机特征的连续Markov 多工况电力系统模型及其Lyapunov泛函，并在该泛函的弱无穷小算子中运用Dynkin引理，推导满足干扰衰减度γ的鲁棒随机稳定性的线性矩阵不等式（LMI），并将其转化为可行性问题，以判断系统是否稳定。IEEE 4机11节点系统和16机68节点系统时域仿真结果表明，所提方法无需获取系统运行轨迹即可对多工况电力系统进行稳定性判别，与传统时域仿真法相比，降低了计算量，提高了判别效率。 |
| 关键词: 风电 多工况 风速区间 Markov过程 鲁棒随机稳定 稳定性 |
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| 基金项目:国家自然科学基金资助项目（51277193）；国家重点基础研究发展计划（973计划）项目（2012CB215206）；中央高校基本科研业务费专项资金资助项目（2014ZZD02） |
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| Stability analysis considering time-varying wind speed for power system with multiple operating conditions |
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MA Jing1, GAO Xiang2, LI Yinan1, WANG Zengping1
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1.State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources，North China Electric Power University，Beijing 102206，China;2.Jibei Langfang Power Supply Company，State Grid North Hebei Power Limited Company，Langfang 065000，China
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| Abstract: |
| A method of stability analysis considering the time-varying wind speed is proposed for the power system with multiple operating conditions. The Weibull model is used to fit and predict the short-term wind speed trend，the wind speed is divided into several intervals，and the probability density matrix of conditional wind speed is calculated for each interval，according to which，the operating condition of power system is determined. The continuous Markov model considering the time-varying wind speed is built for the power system with multiple operating conditions and its Lyapunov function is also set. The Dynkin lemma is applied to the weak infinitesimal operator of this function to deduce the LMI（Linear Matrix Inequalities） with the robust stochastic stability satisfying the interference decay rate γ，the feasibility of which is then used to discriminate the system stability. The time-domain simulative results of IEEE 4-machine 11-bus system and 16-machine 68-bus system show：without the trajectory of system operation，the proposed method can discriminate the stability of power system with multiple operating conditions；compared with traditional time-domain simulation methods，it has lower computing load and higher discrimination efficiency. |
| Key words: wind power multiple operating conditions wind speed interval Markov process robust stochastic stabilization stability |
