Abstract
A new mathematical model is proposed which allows distribution network loads to be estimated using the available information from metering and other data sources. The application of this model offers a compromise between conventional load allocation methods and network state estimation. A novel approach to the modelling of current magnitude measurements is introduced. The problem is formulated as a weighted least absolute values estimation problem which is solved numerically using weighted least squares with an iterative reweighting scheme. The nonlinear effect of power losses is accounted for by applying a Newton–Raphson approach. Alternative sparse matrix solution techniques are compared and a robust and computationally efficient approach is described which is suitable for online applications.
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