Ouali Saad and Cherkaoui Abdeljabbar
Voltage sensitivity, radial distribution system, backward/forwardsweep, medium voltage system
This paper presents an analytical method able to quantify the influence of the variation of active and reactive power of any point of a radial distribution system on the network voltage. Obviously, changing in system parameters has an effect on the system performance. However, some may have significant impacts, whereas others may have less important impacts. The main aim of this paper is the development of mathematical formulations permitting a rigorous description of the sensitivity of the network nodes voltage with respect to the variations of nodes powers, which can provide us some information about the influence of changing generation and load parameters on the system voltages. The obtained results may be very useful for choosing the optimal placement of distributed generation (DG) and reactive sources and also to control the voltage plan of a radial electric network, through the evaluation of the impacts of each actuator. A case study is presented, with an application of the proposed method on the IEEE 15-bus system, which provides immediate access to qualitative and quantitative information on node voltages sensitivity and mitigates the relationship between voltage plan, DG placement, and the characteristics of underground or overhead network conductors.
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