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Phasor magnitude and angle of various harmonic and interharmonic components of the power signal are widely used as critical variables and performance indices for power system applications, such as protection, relaying, and state monitoring. This paper proposes a novel adaptive algorithm for estimating the phasor parameters in real time. It uses a faster quasi-second-order optimization technique to estimate amplitude and phase and does not require any matrix inversions. It features fast response, achieves high accuracy, and involves less computational complexity than many other models and window-based methods.