The fuzzy set theory has been proposed in 1965 by Lofti A.

Zadeh from the University of Berkeley 43.

A number of fuzzy based methods have been reported. These methods, however, do

not always find the best possible solutions. But they generally can find an

acceptable suboptimal solution using less computational burden time.

H. Chin and W. Lin 44

have investigated the application of fuzzy set theory in finding suitable buses

for installing capacitor banks. C. Su and C. Tsai 45

present a fuzzy-reasoning method to optimum

shunt capacitor placement and sizing for the radial distribution systems. In

this method, a combinatorial optimization problem with multiple objectives

where capacitor allocation is applied to correct voltage and reduce power

loss for a given load pattern. S.

Mekhamer et al. 46

present a new algorithm determines the exact optimal solution for capacitor

allocation in radial distribution feeders. Results of previous work using fuzzy

and heuristic strategies on this feeder are compared with the exact reference

solution. Different fuzzy decision-making forms are applied to the fuzzy

modeling problem. A recommendation is made for the most efficient way to get a

solution equal or very close to the optimal.

S. Bhattacharya and S. Goswami

47

have investigated the effectiveness of the fuzzy-based methods in solving the

capacitor placement problem, identify their limitations and also suggest

improvement technique in order to have a superior quality of solutions in 44-46. S. Kannan et al. 48 present a fuzzy logic control

that uses some of the computational procedures to find out the total power loss

and voltage level in the radial distribution system and then coupling of a fuzzy

expert system to find out the candidate sensitivity index for optimal capacitor

placement. A. Siddiqui and F. Rahman 49

have applied the fuzzy sets theory to determine the optimal number, locations

and ratings of capacitors to place in a distribution system. S. Isac, K. Kumar

and P. Kumar 50

have developed an algorithm based on fuzzy logic for capacitor placement in the

radial distribution system to minimize the line loss. The fuzzy expert system

determines the candidate nodes for capacitor placement by striking a compromise

between the possible loss reduction from capacitor installation and voltage

levels.

Y.

Baysal and I. Altas 50

have developed A fuzzy reasoning based decision maker in order to

determine the optimal capacitor location and sizing in radial distribution

systems for the purpose of minimizing the power loss and capacitor cost with

voltage limit constraints through a fuzzy expert system that selects suitable

candidate buses for capacitor locations in distribution feeder and a fuzzy

optimization system that estimates the optimal capacitor sizing to obtain

maximum savings at the optimal buses determined. V. Shetty and S. Ankaliki 51

present a fuzzy technique based decision maker in order to determine suitable

candidate nodes for optimal capacitor placement and sizing in radial

distribution systems for the purpose of reducing power loss and improving

voltage profile in order to achieve reliability of the entire system.