| 引用本文: | 刘萌,梁雯,张晔,等.温控负荷群Fokker-Planck方程聚合模型的数值拉普拉斯反变换求解方法[J].电力系统保护与控制,2017,45(23):17-23. |
| LIU Meng,LIANG Wen,ZHANG Ye,et al.Numerical inverse Laplace transform solving method of thermostatically controlled load group’s Fokker-Planck equation aggregation model[J].Power System Protection and Control,2017,45(23):17-23 |
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| 摘要: |
| 作为典型的具有热存储特性负荷，温控负荷具有参与电力系统有功调度与控制的潜能。为了便于分析和控制，提出了一种温控负荷群Fokker-Planck方程聚合模型的数值拉普拉斯反变换求解方法。分别介绍了温控负荷的单个个体的物理模型和Fokker-Planck方程聚合模型，在此基础上，采用数值拉普拉斯反变换法对Fokker-Planck方程聚合模型进行求解。通过算例仿真验证了温控负荷群Fokker-Planck方程聚合模型的数值拉普拉斯反变换解的有效性。对温控负荷进行分散式控制，根据频率调整设定温度，改变其功率需求。把用数值拉普拉斯反变换求解后的温控负荷聚合模型结合到电力系统频率控制模型中，进行频率响应分析。通过对3机9节点系统仿真，验证了该模型结合到电力系统频率仿真模型中控制效果的有效性。 |
| 关键词: 温控负荷 Fokker-Planck方程 负荷群聚合模型 数值拉普拉斯反变换 频率控制 |
| DOI：10.7667/PSPC161947 |
| 分类号: |
| 基金项目:国家自然科学基金资助项目(51507094) |
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| Numerical inverse Laplace transform solving method of thermostatically controlled load group’s Fokker-Planck equation aggregation model |
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LIU Meng1,LIANG Wen2,ZHANG Ye3,CHENG Dingyi3,GAO Wenlong4,HAN Yanfeng5,JING Yugang1
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(1. State Grid Shandong Electric Power Research Institute, Jinan 250002, China;2. Yantai Power Supply Company, State Grid Shandong Electric Power Company, Yantai 264001, China;3. Shandong University, Jinan 250061, China;4. Shandong Electric Power T & T Engineering Company, Jinan 250022, China;5. State Grid Shandong Electric Power Company, Jinan 250001, China)
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| Abstract: |
| As the typical load with thermal energy storage property, thermostatically controlled loads possess the potential to actively participate in active power dispatch and control for power system. In order to facilitate the analysis and control, a numerical inverse Laplace transform solving method of thermostatically controlled load group’s Fokker-Planck equation aggregation model is proposed. The single model and Fokker-Planck equation aggregation model for thermostatically controlled loads are introduced respectively, and the aggregation model’s numerical inverse Laplace transform solving method is proposed. Simulation results verify the effectiveness of the proposed numerical inverse Laplace transform solving method. A decentralized control scheme is applied to controllable load, which adjusts its setting temperature to regulate its power demand according to frequency measurement signal. The numerical inverse Laplace transform solving model is integrated into frequency control model of 3 machine 9 bus power system, verifying the effectiveness of the frequency control effects. This work is supported by National Natural Science Foundation of China (No. 51507094). |
| Key words: thermostatically controlled load Fokker-Planck equation load group’s aggregation model numerical inverse Laplace transform frequency control |
