A new synchronous frame single-phase PLL algorithm with a decoupling network

A new synchronous frame single-phase PLL algorithm with a decoupling network is presented. It applies the synchronous frame transformation but omits the effort to generate the orthogonal component. The β axis signal is set directly to zero. A decoupling network is employed to eliminate the cross couplings in the dq axis. This algorithm can detect the amplitude of the input signal while has simple structures compared to the conventional synchronous frame PLLs.