A new method is developed and presented in this paper to solve the sta
te estimation problem of power systems. The method involves applicatio
n of a rotational operator to the state and measurement functions resu
lting in an automatic decoupling of the Jacobian and gain matrices. Th
e elements of these matrices are different from those in the existing
decoupled state estimators. A solution is obtained through alternately
iterating the active and reactive equations using the constant gain m
atrix and avoiding the approximation due to the decoupling of the Jaco
bian matrix. Digital simulation studies on a variety of systems indica
te that the new estimator is comparable to the best available version
of the fast decoupled state estimator in terms of core size,solution t
ime, mathematical structure, convergence behavior, accuracy, robustnes
s, reliability and versatility. Systems with low and high R/X ratio li
nes, heavy loading, ill-conditioning, and low/high reference bus volta
ge are tested. Typical results are provided for illustration.