| 引用本文: | 李 伟,吴凤江,孙 力.基于Goertzel滤波器的两相静止坐标系下的增强型锁相环[J].电力自动化设备,2015,35(3): |
| LI Wei,WU Fengjiang,SUN Li.Two-phase stationary frame enhanced PLL based on Goertzel filter[J].Electric Power Automation Equipment,2015,35(3): |
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| 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。 |
| 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 |
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| 基金项目:基金项目：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） |
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| Two-phase stationary frame enhanced PLL based on Goertzel filter |
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LI Wei1,2, WU Fengjiang1, SUN Li1
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1.Department of Electrical Engineering，Harbin Institute of Technology，Harbin 150001，China;2.Department of Electrical Engineering，Heilongjiang University of Science and Technology，Harbin 150027，China
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| Abstract: |
| 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. |
| Key words: two-phase stationary frame enhanced PLL Goertzel filter unbalance harmonic analysis phase locked loops transfer function stability |
