Efficient State Estimation in Power Networks for Reactive Power Losses Compensation

We consider the problem of optimal reactive power compensation for the minimization of power distribution losses in a smart microgrid with raw measurements. We provide two distributed estimation algorithms, one ADMM-based and one JACOBI-like, in order to estimate using only local exchange of information. We prove the convergence of the ADMM algorithm to the maximum likelihood solution. Numerical simulations are included to validate the proposed algorithms, for different magnitude of error.