This paper proposes an optimization approach for the participation of wind turbines in large scale power systems. The wind turbine participation optimization aims to regulate the droop slopes and the synthetic inertia of the aggregated wind turbines to command the power contribution of wind turbines proportional to their power ratings in the primary frequency response schemes. A reduced second order model of power system is firstly presented to simplify the analysis of large scale power system. Meanwhile, the internal dynamics of general wind turbines are analyzed and the concept of stability margin is proposed to describe the wind turbines' capability of enduring frequency dips at the bus node. A convex optimization based approach is then presented to regulate the droop slopes and synthetic inertia of the wind turbines incorporating their stability margin. Five case studies are conducted in New England 39‐bus system, IEEE 118‐bus power system and the Polish 3375‐bus system. The simulation results indicate that the proposed approach is capable of transiting the bus frequency to the new steady state in a smoother and more stable manner.

中文翻译：

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优化风力发电机的参与度，以在大型电力系统中进行频率调节

本文提出了一种用于风力涡轮机参与大型电力系统的优化方法。风力涡轮机参与优化旨在调节聚集的风力涡轮机的下垂斜率和合成惯性，以命令风力涡轮机的功率贡献与初级频率响应方案中的额定功率成比例。首先提出了一种简化的电力系统二阶模型，以简化大规模电力系统的分析。同时，分析了一般风力发电机组的内部动力学特性，提出了稳定裕度的概念来描述风力发电机组在总线节点上承受频率骤降的能力。然后提出了一种基于凸优化的方法，以结合其稳定性裕度来调节风力发电机的下垂斜率和合成惯性。在新英格兰39总线系统，IEEE 118总线电源系统和波兰3375总线系统中进行了五个案例研究。仿真结果表明，该方法能够以更平稳，更稳定的方式将总线频率转换为新的稳态。