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This paper addresses itself to the variety of model inaccuracy problems arising in the implementation of on-line state estimation for power system bulk transmission networks. Two classes of models are investigated for which parameter estimation algorithms are derived and simulated. The first class consist of network and measurement system parameters of the system being monitored. The second class corresponds to the network equivalent parameters of all external systems. It is shown that telemetry data obtained by the internal system can provide the basis for both types of estimation. A significant factor here is the use made of scheduled and/or forced system outage information in the estimation of the network equivalent.