Abstract
This paper presents our investigation of the second-order and third-order systems in the grid synchronization applications. The generalized second-order and third-order synchronization systems are previously proposed based on the transfer function approach. However, this approach is based on the necessary conditions of the two signals that are always 90◦ difference in phase and are equal in magnitude only at the grid frequency. A grid synchronization system, in the correct form of the generalized system, cannot work if its poles are on the right half-plane. Thus, in this paper, the constraints for the generalized systems are derived from the system stability aspects. Under these constraints, the real parts of system poles are negative and guarantee the proper operations of the proposed systems. The simulation results and experimental results have verified the theoretical analysis. The proposed generalized systems are able to generate two perfectly orthogonal outputs to identify the grid information, i.e. voltage magnitude and phase angle. In addition, the generalized third-order system shows its excellent performance under distorted grid conditions.
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