计及负荷侧惯量和故障概率的两阶段鲁棒机组组合

Two Stage Robust Unit Combination Considering Load Side Inertia and Fault Probability
叶婧^*，周正坤，何杰辉，郭紫昱，杨子龙
YE Jing^*，ZHOU Zhengkun，HE Jiehui，GUO Ziyu，YANG Zilong
1.三峡大学电气与新能源学院，湖北宜昌443002
2.广东电网有限责任公司肇庆供电局，广东肇庆526000
3.国网国际发展有限公司，北京100000

摘要(Abstract)：

随着高比例新能源并网和大量电力电子设备的接入，电力系统呈现出越来越明显的低惯量特性。针对低惯量电力系统频率安全稳定和经济性难以兼顾的问题，本文建立了计及风电、负荷功率、负荷侧惯量和故障概率不确定性的考虑动态频率约束的机组组合模型，以此来提高系统的整体惯量水平，并在保证系统频率安全的前提下减少优化计算的保守性，提高系统总体运行经济性。首先，建立计及负荷侧惯量的多机系统动态频率响应模型，并推导出大扰动下系统的频率安全指标表达式。其次，建立了故障不确定性模型，并用模糊变量表征风电、负荷、负荷侧惯量的不确定性，建立含动态频率约束的考虑故障不确定性两阶段鲁棒优化模型，并将模型中的模糊机会约束清晰等价类转换。接着，采用对偶理论和行列生成（column-and-constraint generation,C&CG）算法对所提模型进行求解。最后，以改进的IEEE 10机39节点系统为算例，验证了本文所提模型和求解方法的有效性和优越性。With the high proportion integration of renewable energy and the access of a large number of power electronic devices，the power system exhibits an increasingly obvious low-inertia characteristic.Aiming at the problem that it is difficult to balance the frequency security，stability and economy of the low-inertia power system，this study establishes a unit commitment model considering dynamic frequency constraints，taking into account the uncertainties of wind power，load power，load-side inertia and fault probability. This is to improve the overall inertia level of the system，reduce the conservatism of the optimization calculation while ensuring the system frequency security，and improve the overall operational economy of the system.First，a multi- machine system dynamic frequency response model considering load-side inertia is established，and the expression of the system's frequency safety index under large disturbances is derived.Secondly，a fault uncertainty model is established. The uncertainties of wind power，load and load-side inertia are characterized by fuzzy variables. A two-stage robust optimization model considering fault uncertainty with dynamic frequency constraints is established，and the fuzzy chance constraints in the model are clearly and equivalently transformed.Then，the dual theory and the column-and-constraint generation（C&CG）algorithm are used to solve the proposed model.Finally，taking the improved IEEE 10-machine 39-bus system as an example，the effectiveness and superiority of the proposed model and solution method are verified.

关键词(KeyWords)：机组组合；频率安全；惯量；两阶段鲁棒；故障
unit commitment；frequency security；inertia；two-stage robustness；fault

基金项目(Foundation): 国家自然科学基金项目（62233006）；新型电力系统运行与控制全国重点实验室资助课题（SKLD23KM18）
National Natural Science Foundation of China（62233006）；National Key Laboratory of New Power System Operation and Control（SKLD23KM18）

作者(Author): 叶婧^*，周正坤，何杰辉，郭紫昱，杨子龙
YE Jing^*，ZHOU Zhengkun，HE Jiehui，GUO Ziyu，YANG Zilong

DOI: 10.20097/j.cnki.issn1007-9904.2025.04.001

收稿日期(Received): 2024-12-19; 修回日期(Revised): 2025-02-18

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