Page 73 - Mathematical Models and Algorithms for Power System Optimization

Optimization of Annual Generator Maintenance Scheduling 63

maintenance capacity in area j, W g —weight coefficient of area maintenance capacity

ð
constraint, M g iðÞ max M g i, tð Þ ; M iðÞ min M g i, tÞ :
g
T T
The fuzzy membership function curve of area maintenance capacity constraint is shown in
Fig. 3.6.

Fig. 3.6
Fuzzy membership function curve of area maintenance capacity constraint.

(4) Fuzzy manpower constraint. For those power plants staffed with full-time maintenance
personnel, the effect of manpower constraints may not be considered, but it must be
considered for those without such personnel. In other words, the power plants not staffed
with full-time maintenance personnel may be subject to manpower constraints given that
too much maintenance is conducted at the same time. The fuzzy membership function of
manpower constraint is expressed as:

8
0, M p i, tð Þ > M pmax
>
>
< M p iðÞ M p i, tÞ
ð
μ , M p i, tð (3.17)
e ð
c4 i, tÞ ¼ 1 W p Þ M pmax
M p iðÞ M iðÞ
> p
>
:
1, M p i, tÞ M pav
ð
where M p (i,t)—minimum manpower required to reach state (i,t), W p —weight
coefficient of manpower constraint, M pmax —maximum manpower available,
M pav —Normal average manpower available,

M p iðÞ max M p i, tÞ ; M iðÞ min M p i, tÞ :
ð
ð
p
T T
The fuzzy membership function curve of manpower constraint is shown in Fig. 3.7.