Iteratively reweighted least-squares implementation of the WLAV state-estimation method

An implementation of the weighted least absolute value (WLAV) method for obtaining an estimate of the state of the power system is presented. Most of the known WLAV methods use some form of linear programming software to find the best estimate. The paper shows that it is possible to obtain a WLAV estimate by simply applying the Newton-Raphson method to the set of equations that yield the critical points. The resulting iterative scheme corresponds to solving a sequence of linear weighted least-squares (WLS) problems. The proposed implementation enables the use of well-known techniques of WLS estimation and, consequently, facilitates the integration of the WLAV function in an energy management system. Test results on standard IEEE test systems reveal that the proposed implementation is competitive with a standard WLAV algorithm that uses a state-of-the-art implementation of an interior-point method.