基于动态相量及传递函数矩阵的模块化多电平换流器交直流侧阻抗建模方法
AC/DC-Side Impedance Modeling Method for Modular Multilevel Converter Based on Dynamic Phasors and Transfer Function Matrix
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摘要: 该文提出一种模块化多电平换流器(modular multilevel converter,MMC)交直流侧阻抗的统一建模方法。动态相量被用于MMC的电气建模,该模型建立在旋转d-q坐标系下,并且考虑了环流动态。将线性化的MMC10阶动态相量模型通过拉普拉斯变换转换到s平面并与控制系统结合,得到代表MMC闭环控制动态的频域模型,在该模型的基础上,基于传递函数矩阵推导了MMC的交直流侧阻抗。与电磁暂态仿真的对比表明该文推导的交直流侧阻抗模型在1~3000Hz内具有较高的精度。最后,将建立的交流侧阻抗用于一起MMC高频谐振事故分析,将直流侧阻抗用于平波电抗器对双端直流输电稳定性的影响分析。分析结果进一步验证了所提模型的有效性,同时指出,高延时会导致高频振荡产生;过大的平波电抗器易导致HVDC出现直流谐振。Abstract: A unified modeling method for AC-side and DC-side impedance of modular multilevel converter(MMC) is presented in this paper. Dynamic phasors were used for electrical modeling of MMC, which is based on the rotating d-q frame and considers the circulating current. The 10 th-order dynamic phasor model of MMC was linearized and transformed into the s-plane by Laplace transform and combined with the control system. The frequency-domain model representing the closed-loop control dynamics of MMC was obtained. Then, the AC/DC-side impedance model of MMC was derived based on transfer function matrix. The comparison with electromagnetic transient simulation shows that the AC/DC-side impedance models derived in this paper have satisfactory accuracy within 1~3000 Hz. Finally, the AC-side impedance was used to analyze a MMC high-frequency resonance accident, and the DC-side impedance is used to analyze the influence of the smoothing reactor on the stability of point-to-point HVDC. The analysis results further validate the accuracy of the proposed model. The high-frequency oscillation will occur when the delay is high, and large smoothing reactor will lead to DC resonance of flexible HVDC transmission.