中文摘要：

对TCSC进行精确、快速仿真和有效控制，使用基于时变傅里叶级数的动态相量法进行建模。为提高模型精度在推导过程中考虑了电容电压的谐波特性，同时有效解决了动态相量法本身固有的状态空间方程阶数随着计及频率成分增加而迅速增长的问题，使得TCSC的动态特性最终由一个两阶的状态空间方程描述。仿真结果表明，该模型在整个容性工作区域都有较高的精度，即使在接近谐振点的区域，误差也低于1％。通过与时域模型的比较，验证了所提出模型的精确性、有效性和快速性。

英文摘要：

To better understand and control the interactions between TCSC and power system, a simplified dynamic phasors model is proposed in this paper. The distinguishing feature of the model is the important harmonics are included while the order of this model is still maintained to a real second-order state-space equation. Validation of the model is performed comparing simulation results of the proposed model and time-domain ＇model. The simulation results show that the ! proposed model has a good agreement with the time-domain waveforms even firing angle is close to the resonance point. This model has excellent tracking behavior, fast simulation speed and is more valuable for transient simulation and control design.