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基于目标函数优化的思想设计了单相幅相锁相环系统(1MPLL),详细讨论了系统中参数的设计方法。为了提高系统的谐波抑制能力,以最近时域区间系统偏差的积分构造目标函数,通过梯度下降法分析了目标函数的最速下降方向,推导出锁相环系统的非线性状态方程,从而对输入信号属性进行估计。为了进行系统性能分析和参数设计,对系统非线性状态方程在平衡点进行线性化处理,采用根轨迹理论对系统参数进行设计。系统能在各种电能质量问题下(如幅值突变、频率波动、相位突变,尤其是谐波污染)对输入信号的属性进行快速精确估计,为并网电力电子设备的检测和控制提供有效、可靠的基准。仿真实验验证了系统设计的正确性和良好性能。
Based on the idea of objective function optimization, single-phase amplitude-phase-locked loop system (1MPLL) was designed and the design method of parameters in the system was discussed in detail. In order to improve the harmonic suppression ability of the system, an objective function is constructed based on the integral of the system deviation in the recent time domain. The steepest descent direction of the objective function is analyzed by the gradient descent method, and the nonlinear equation of state of the phase locked loop system is deduced. Signal properties are estimated. For system performance analysis and parameter design, the system nonlinear equation of state is linearized at the equilibrium point and the system parameters are designed using the root locus theory. The system can quickly and accurately estimate the properties of input signals under various power quality problems (such as amplitude changes, frequency fluctuations, phase changes, especially harmonic pollution), provide an effective and reliable method for the detection and control of power electronic devices in the grid, Reliable benchmark. Simulation experiments verify the correctness and good performance of the system design.