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State estimation for electric transmission grids was first formulated as a weighted least-squares problem by Fred Schweppe and his research group [] in 1969 (Schweppe also developed spot pricing, the precursor of modern-day locational marginal prices – LMPs – which are a central feature of electricity markets). The basic motivation for state estimation is that we want to perform computer analysis of the network under the conditions characterized by the current set of measurements. Specifically, we want to know the values of the bus voltage phasor magnitudes and angles |Vk|, θk for all k=1,…,N buses in the network (we assume θ1=0 so we do not need to find that one). We begin with linear least squares estimation. 4 |; `$ i- L! Z9 U: I9 y! ^
[] F. Schweppe, .J. Wildes, and D. Rom, “Power system static state estimation: Parts I, II, and III,” Power Industry Computer Conference (PICA), Denver, Colorado June, 1969. |