Modeling load uncertainties in reactive power compensation of distribution feeders using interval arithmetic

Document Type : Original Article

Authors

1 Shoubra Faculty of Engineering, Benha University, Egypt.

2 Ain Shams University, Abbassia, Cairo, Egypt.

Abstract

Abstract:
Integrating uncertainties of the load demands and those associated with capacitor
allocation in radial distribution feeders is the aim of the present paper. Modeling of the
uncertainties accompanying the load parameters is important in relation to the problem
of reactive power compensation in distribution systems using capacitors allocation.
Interval mathematics provides a powerful tool for modeling uncertainties. The
uncertainties related to load demand are modeled by solving the load flow using a
developed interval backward/ forward sweep technique. The interval voltage outcomes
are used in the governing equations of the capacitor allocation analysis. Interval
distribution functions defining the real power losses and the voltage sensitivity are
introduced to, sequentially, order the sensitive nodes that require compensation. A
heuristic technique is formulated to determine the interval capacitor size, interval
maximum cost saving, and the corresponding interval loss reduction. A significant
improvement in the voltage profile is achieved using the proposed technique.
Implementation of the technique is demonstrated using two realistic radial distribution
feeders.

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