Modern power systems are becoming more dynamic and complex, which means that sophisticated control and monitoring techniques are needed to make sure that they operate safely and dependably. Examining “Weighted Least-Square Phasor Measurements with State Estimation in Power Systems,” this review paper offers a thorough examination of recent advancements and significant contributions to the field. Phasor Measurement Units (PMUs) that possess synchronized measurement capabilities have become essential instruments for power system monitoring in real time, providing high-resolution data that reflects the dynamic behavior of the system. In order to improve the precision and resilience of power system monitoring, this review focuses on the use of weighted least-square approaches in the context of phasor measurements and state estimation.