基于Goertzel滤波器的两相静止坐标系下的增强型锁相环  

Two-phase stationary frame enhanced PLL based on Goertzel filter

作　　者：李伟[1,2] 吴凤江[1] 孙力[1] 

机构地区：[1]哈尔滨工业大学电气工程系,黑龙江哈尔滨150001 [2]黑龙江科技大学电气工程系,黑龙江哈尔滨150027

出　　处：《电力自动化设备》2015年第3期94-100,共7页Electric Power Automation Equipment

基　　金：国家自然科学基金资助项目(51107018);黑龙江省博士后科研启动金资助项目(LBH-Q11109)~~

摘　　要：提出一种两相静止坐标系下的增强型锁相环(TPSF-EPLL),用于三相电网的同步信息的检测。基于最小成本函数法推导了TPSF-EPLL的微分方程,获得了频率环和幅值环输入信号的系数矩阵表达式。通过局部线性化方法建立了TPSF-EPLL的传递函数并进行了稳定性分析和参数设计。为消除三相电网不平衡和谐波对锁相环性能的影响,在频率环和幅值环的输入侧加入Goertzel滤波器,给出了所提出的TPSF-EPLL的总体方案。所提出的TPSF-EPLL无需同步旋转坐标变换,在两相坐标系下进行运算即可同时获得输入信号的幅值、频率和相角信息,计算量大幅减少。实验结果验证了所提出TPSF-EPLL的正确性和优越性。A TPSF-EPLL（Two-Phase Stationary Frame Enhanced Phase Locked Loop） is proposed to detect the synchronization information of three-phase grid. The differential equations of TPSF-EPLL are derived based on the minimum cost function and the expressions of coefficient matrix in the frequency loop and amplitude loop are obtained. The transfer function of TPSF-EPLL is derived based on the local linearization method,its stability is analyzed and the control parameters are designed. In order to eliminate the influence of three-phase unbalance and harmonics,Goertzel filter is added respectively to the amplitude loop and the frequency loop at the input side and an overall control scheme of the proposed TPSF-EPLL is given. Without the synchronic rotate frame transfer,the amplitude,phase angle and frequency of the input signal can be obtained at the same time by the calculation in two-phase stationary frame,which significantly reduces the calculation load. Experimental results verify the accuracy and superiority of the proposed TPSF-EPLL.

关 键 词：两相静止坐标系 增强型锁相环 Goertzel滤波 不平衡 谐波分析 锁相环 传递函数 稳定性 

分 类 号：TM761[电气工程—电力系统及自动化]