Frequency Stability Constrained Optimal Power Flow Incorporating Differential Algebraic Equations of Governor Dynamics
Frequency Stability Constrained Optimal Power Flow Incorporating Differential Algebraic Equations of Governor Dynamics
复制标题
结合调速器动力学微分代数方程的频率稳定性约束最优潮流
DOI：
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发表时间：
2020
影响因子：
6.6
通讯作者：
Xiaoqing Bai
中科院分区：
文献类型：
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作者：
Xiaohui Zhao;Hua Wei;Junjian Qi;Peijie Li;Xiaoqing Bai
一次频率控制过程中的频率动态特性与扰动前的运行条件、扰动和设备特性密切相关。在频率稳定性约束的优化调度问题中，如何严格地表达这种关系仍然是一个悬而未决的问题。提出了一种考虑动态频率响应约束的发电再调度最优潮流模型，以保证一次调频过程中的频率稳定性。该模型的显著特点是动态频率响应被表示为一组微分代数方程（DAE），其允许考虑主频率控制期间每个发电机的频率和机械/电磁功率的瞬态行为。在求解优化问题的基础上，根据机组机械功率增量最大的原则，提出了机组一次备用的定义。该定义有助于满足一次频率响应的充分性要求，实现部分频率恢复。WSCC 3机9节点系统、新英格兰10机39节点系统和改进的IEEE 54机118节点系统的仿真结果验证了所提模型的有效性，并揭示了频率动态与预扰动产生之间的强耦合。
Frequency dynamics during primary frequency control is closely related to pre-disturbance operating conditions, the disturbance, and equipment characteristics. How to rigorously express such a relation in a frequency stability constrained optimal dispatch problem is still an open question. This paper presents an optimal power flow (OPF) model for generation re-dispatch that considers dynamic frequency response constraints to ensure frequency stability during primary frequency regulation. The distinct feature of the model is that the dynamic frequency response is formulated as a set of differential algebraic equations (DAEs), which allows considering the transient behavior of frequency and mechanical/electromagnetic power for each generator during primary frequency control period. Based on the solution of the optimization problem, a definition of the primary reserve for each unit is proposed according to the maximum of incremental mechanical power. This definition helps meet the adequacy requirement of primary frequency response and achieve partial frequency restoration. Simulation results on WSCC 3-machine 9-bus system, New England 10-machine 39-bus system and the modified IEEE 54-machine 118-bus system validate the effectiveness of the proposed model and reveal the strong coupling between frequency dynamics and the pre-disturbance generation.