Dissipativity constraint for distributed power system state estimation

The work in this paper deals with the intermittent communication broken-down in the distributed power system state estimation (PSSE) problem. The Partitioned-based Moving Horizon Estimation (PMHE), developed previously by others, is applied to PSSE here. In a PMHE scheme, the network is decomposed into several non-overlapping and observable areas, among which the estimated states are exchanged between neighbouring areas to assure the estimation performance and convergency. The solution of PMHE converges to the centralized solution of moving horizon estimation (MHE) within finite time steps. An additional constraint developed from the incrementally quadratic dissipativity constraint (iQDC) is imposed onto the PMHE optimization to prevent possible divergence of the algorithm during the converging time due to losses of data. An approximately time-invariant Jacobian matrix will be used once the PMHE approaches the steady states. Numerical simulation with the IEEE 14-bus system shows the convergence of PMHE with the iQDC.