The authors present a robust weighted least absolute value (WLAV) power system state estimator which remains insensitive to bad measurements even when these are associated with leverage points. Leverage points are evenly distributed in the factor space of multiple regression via linear transformations. These transformations represent a change of coordinates in the state space. The transformed system of measurement equations is then used to obtain the WLAV estimator for the system states. The transformation-based WLAV estimator is shown to remain robust in the presence of leverage points.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>