Optimized Measurement Allocation for Power Distribution Systems Using Mixed Integer SDP

This paper presents a method for placement of metering systems in distribution grids taking into account the aspects of observability and state estimation accuracy. The measurement placement problem is conceptualized as the optimized allocation of a prespecified number of measurements in order to minimize the error variances of the state estimates either for observable or nonobservable networks. The proposed approach exploits the M-optimal experimental design technique to formulate the problem as a mixed integer semidefinite programming model. We demonstrate the efficacy of the proposed approach in terms of optimality and convergence speed through simulations on a 95-bus distribution grid.