Recently, multiple objective decision making has been well established
as a practical approach to seek satisfactory solutions to decision ma
king problems in limited resources, information and cognitive ability
of the Decision Maker (DM). In the past, it was normal to assume well
behaved and deterministic system data. Now the trend is to assume them
variable and uncertain for more realistic approach. This paper deals
with decision making methodology based on fuzzy set theory in order to
determine the optimal generation dispatch with due consideration of u
ncertainties in system production cost and randomness of load demand.
The classical economic dispatch problem is formulated as stochastic mu
ltiobjective optimisation problem where operating cost and variance of
generation mismatch are two non-commensurable objectives. Such proble
ms are solved to generate non-inferior solutions. Weighted sum technig
ue is used to simulate trade-off relation among the conflicting object
ives in the non-inferior domain. Once the trade-off has been obtained,
fuzzy set theory helps the power system operator (DM) to choose the o
ptimal operating point over the trade-off curve and adjust the generat
ion levels in the most economic manner. Validity and effectiveness of
the proposed method has been demonstrated by analysing a sample power
system comprising three generators.