徐方维, 曾雪, 王川, 郑鸿儒. 基于最小范数的系统侧谐波变阻抗求解技术[J]. 电力工程技术, 2023, 42(6): 110-116. DOI: 10.12158/j.2096-3203.2023.06.012
引用本文: 徐方维, 曾雪, 王川, 郑鸿儒. 基于最小范数的系统侧谐波变阻抗求解技术[J]. 电力工程技术, 2023, 42(6): 110-116. DOI: 10.12158/j.2096-3203.2023.06.012
XU Fangwei, ZENG Xue, WANG Chuan, ZHENG Hongru. Solution technology of system side harmonic variable impedance based on minimum norm[J]. Electric Power Engineering Technology, 2023, 42(6): 110-116. DOI: 10.12158/j.2096-3203.2023.06.012
Citation: XU Fangwei, ZENG Xue, WANG Chuan, ZHENG Hongru. Solution technology of system side harmonic variable impedance based on minimum norm[J]. Electric Power Engineering Technology, 2023, 42(6): 110-116. DOI: 10.12158/j.2096-3203.2023.06.012

基于最小范数的系统侧谐波变阻抗求解技术

Solution technology of system side harmonic variable impedance based on minimum norm

  • 摘要: 准确计算系统侧谐波阻抗对新型电力系统的安全稳定运行有至关重要的意义。在现有谐波阻抗估计算法中,通常假设系统侧谐波阻抗在测量周期中恒定不变。然而,系统侧电压会随着电网运行方式或负荷端大电源用户的接入而发生变化,从而导致系统侧谐波阻抗大小呈现波动的状态。但系统侧谐波阻抗在相邻采样时间间隔内变化并不大,基于此,文中提出一种新的非干预式系统侧谐波变阻抗求解技术,以测量周期内相邻采样时间间隔谐波阻抗二阶变化量和电压二阶变化量的范数为目标函数,通过最小化目标函数求解系统侧谐波阻抗。经过仿真和实际案例分析,验证了该方法在较强背景谐波和用户侧谐波阻抗并非远大于系统侧谐波阻抗条件下的准确性和可靠性。

     

    Abstract: To calculate the harmonic impedance on the system side is crucial for the safe and stable operation of the new power system. Existing algorithms for harmonic impedance estimation usually assume that the harmonic impedance on the system side is constant during the measurement period. However, the voltage on the system side always changes according to the working mode of the power grid or access of large power load demand, resulting in fluctuations of the harmonic impedance on the system side. Luckly, the harmonic impedance on the system side does not change much in the adjacent sampling time interval. On this basis, the paper proposes a new non-intervention solution for the variable harmonic impedance on the system side. In this method, the second-order change of the harmonic impedance and the second-order change of voltage in the adjacent sampling time interval are taken as the objective function. The harmonic impedance on the system side is solved by minimizing the target function. The proposed method is proved to be accurate and reliable by simulation and practical analysis, especially in the condition that the strong background harmonic or user-side harmonic impedance is not much stronger than the harmonic impedance on the system side.

     

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