刘芳, 刘威, 徐韫钰, 李研. 弱电网条件下并网逆变器控制环路稳定判据及交互作用规律分析[J]. 中国电机工程学报, 2023, 43(2): 466-481. DOI: 10.13334/j.0258-8013.pcsee.220697
引用本文: 刘芳, 刘威, 徐韫钰, 李研. 弱电网条件下并网逆变器控制环路稳定判据及交互作用规律分析[J]. 中国电机工程学报, 2023, 43(2): 466-481. DOI: 10.13334/j.0258-8013.pcsee.220697
LIU Fang, LIU Wei, XU Yunyu, LI Yan. Analysis on Stability Criterion and Interaction Law of Grid-connected Inverter Control Loop Under Weak Grid Condition[J]. Proceedings of the CSEE, 2023, 43(2): 466-481. DOI: 10.13334/j.0258-8013.pcsee.220697
Citation: LIU Fang, LIU Wei, XU Yunyu, LI Yan. Analysis on Stability Criterion and Interaction Law of Grid-connected Inverter Control Loop Under Weak Grid Condition[J]. Proceedings of the CSEE, 2023, 43(2): 466-481. DOI: 10.13334/j.0258-8013.pcsee.220697

弱电网条件下并网逆变器控制环路稳定判据及交互作用规律分析

Analysis on Stability Criterion and Interaction Law of Grid-connected Inverter Control Loop Under Weak Grid Condition

  • 摘要: 为分析新能源并网发电系统中弱电网与逆变器交互作用对稳定性的影响,该文从控制器带宽交叠角度出发,将表征系统闭环稳定性能的电流环开环传递函数G0表示为电网阻抗、锁相环和电流控制器3个环节相乘,进而把锁相环和电网阻抗环节组合并与电流控制器环节相比得到等效的环路比表达式,据此提出弱电网下基于奈奎斯特定理的并网逆变器控制环路稳定判据,当G0分子和分母幅值相等时,幅频曲线产生交点,易使系统闭环增益无穷大而失稳。接着,为分析3个环节间交互作用规律,该文推导得到满足控制环路稳定判据的锁相环与电流控制器带宽比n的表达式,研究发现:在不同弱电网条件下,带宽比大于n的临界值时,各环节间会产生交互作用,在波德图中主要表现为G0分子和分母幅频曲线的交叠,且电网越弱或锁相环与电流控制器带宽越接近,幅频曲线交叠面积越大,越易导致闭环增益无穷大,即系统愈易失稳;此外,当电流控制器带宽固定时,n的临界值随电网减弱在小于1和大于1之间的区间范围变化,即锁相环与电流控制器的带宽比大于或小于1都可以使得系统保持稳定。最后,通过Matlab仿真和半实物实验平台验证了该文理论分析的准确性。

     

    Abstract: In order to analyze the influence of the interaction between the weak grid and the inverter on the stability of the new energy grid-connected system, this paper divides the current loop open-loop transfer function G0, which is characterized by the closed-loop stability performance of the system, into three links. The three links of impedance, phase-locked loop and current controller are multiplied, and the equivalent loop ratio expression is obtained by combining the phase-locked loop and the grid impedance link and divided by the current controller. The grid-connected inverter control loop stability criterion is proposed based on Nyquist's theorem. When the amplitude of G0 numerator and denominator are equal, the amplitude-frequency curve would generate an intersection point, which is easy to make the system closed-loop gain infinite and unstable. Then, in order to analyze the interaction law among the three links, this paper derives the expression of the bandwidth ratio n of the phase-locked loop and the current controller that satisfies the stability criterion. When the critical value is n, there will be an interaction between each link, which is mainly represented by the overlap of the G0 numerator and denominator amplitude- frequency curves in the Bode plot. The weaker the power grid or the closer the PLL and the current controller bandwidth are, the larger the overlapping area of the frequency curves, the easier it is to cause the closed-loop gain to be infinite, that is, the more likely the system is to be unstable; in addition, when the current controller bandwidth is fixed, the critical value of n is between less than 1 and greater than 1 as the power grid weakens. The bandwidth ratio of the phase-locked loop to the current controller is greater or less than 1, which can make the system remain stable. Finally, the accuracy of the theoretical analysis is verified by Matlab simulation and HIL experiment.

     

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