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Abstract Electric power utilities, worldwide, are currently facing significant pressures to produce and distribute energy more economically and efficiently. Development of reliable loss reduction strategies at the distribution level is, thus, becoming essential. Several approaches of loss reduction by capacitor allocation in radial distribution systems have been reported in the last two decades. However, vaild questions are raised concerning he limitations and restrictions of such approaches to produce reliable and dependable results in view of the uncertainties associated with many of the problem variables. The present work acknowledges these limitations and proposes a rigion approach for assessment of uncertainties associated with capacitor installation in distribution systems and those associated with load demands. Interval mathematics provides a powerful tool to cater for model uncertainties. Initially, assessment of the uncertainties associated with capacitor allocation and sizing in radial distribution feeders is carried out. To identify and account for such uncertainties, a heuristic method coupled with interval mathematics is developed with the aim of maximizing a cost saving function. The effect of uncertain inputs within the proposed model are examined for various assumed levels of overall uncertainies. The relative contribution of each uncertain input is also evaluated. The proposed method offers utilities with alternatives for selecting the standard capacitor sizes to be used and the associated costs to be saved in order to enable utilities making informed decisions regarding reactive power compensation in their own distribution systems. Next, assessment of load uncertainies is developed. Modeling of the uncertainties accompanying the load parameters is important for an overall approach to the problem of reactive power compensation in distribution systems. Two techniques for solving interval load flow have been presented, the implementation of these techniques, uncertainties. Throygh the implementation of these techniques, uncertainties in the load parameters are addressed and incorporated into the analysis. The results obtained by the two methods are evaluted and verified through comparison with a repetitive load flow simulation technique as well as other published results in this regard. |