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CHAPTER 10: SOLUTIONS

By Mohammad Masoum
From Power Quality in Power Systems and Electrical Machines

CHAPTER 10: SOLUTIONS

10.3.9 Application Example 10.1: Fuzzy Capacitor Placement in an 11 kV, 34-Bus Distribution System with Lateral Branches under Sinusoidal Operating Conditions:

Q:

Application of the fuzzy set theory for the capacitor allocation problem will be demonstrated for the 34-bus, three-phase, 11 kV radial distribution system of Fig. E10.1.1. The line and load data of this system are given in Tables E10.1.1 and E10.1.2, respectively [32]. One load level with fixed (not switched) capacitors under balanced operating conditions is assumed. The cost of fixed capacitor banks are listed in Table 10.3 where the size of the capacitor ( Q P in kVAr) as a function of the yearly cost ( F cost in $/kVAr) is given by K cfp (e.g., F cost = K cfp Q p).


Figure E10.1.1: Single-line diagram of the 11 kV, 34-bus, 3-phase, radial distribution system [32].
Table E10.1.1: Bus Data [32] of the 11 kV, 34-Bus, 3-Phase, Radial Distribution System (Fig. E10.1.1)

Bus number

Load

Generator

Injected MVAr

MW

MVAr

MW

MVAr

Q min

Q max

1

0.0000

0.0000

0

0

0

0

0

2

0.2300

0.1425

0

0

0

0

0

3

0.0000

0.0000

0

0

0

0

0

4

0.2300

0.1425

0

0

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