الفهرس 
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Abstract
This thesis introduces new methods to determine the optimal locations and sizes of shunt capacitors to minimize the losses, improve the voltage profile and improve the thermal capability of the feeder conductors. The proposed strategies are based on satisfying two constraints:
• The well-known voltage deviation constraint.
• A newly proposed constraint defied as the active sectional loss constraint.
The new constraint is introduced to guarantee that the loss in any section of the feeder will not increase because of installing capacitor banks.
The proposed strategies were tested using two distribution systems with 9 and 34 buses and the results were compared with the results of strategies found in the literature to prove their effectiveness.
The primary objective of this thesis is not based only on introducing new strategies but also to introduce and study the application of fuzzy set theory (FST) to the capacitor allocation problem. A new FST-based method is proposed in this thesis. Two membership functions are defined in this method:
• The first one is for the voltage sensitivity.
• The other is a newly membership function for the active sectional loss. This membership function guarantees the achievement of the active sectional loss constraint.
Comparing the results obtained by using the proposed fuzzy method with the results of similar methods found in literature proved that the proposed method achieves the goals of solving reactive power compensation problem for distribution systems.
In addition, two methods are proposed in this thesis to study the impact of harmonic, which may exist in the distribution system on the capacitor allocation problem.
• The first method solves the capacitor allocation problem according to three constraints. The additional constraint herein, is the maximum total harmonic distortion constraint.
• The second method uses FST to solve the capacitor allocation problem. This method uses three membership functions, one is for the voltage deviation, the second is for the sectional loss constraint and the third is for the maximum total harmonic distortion constraint.
The new methods proposed in this thesis were implemented to study the capacitor allocation problem in radial distribution systems and they could easily be adopted to study capacitor allocation problem in any interconnected system