FGP Model for Emission - Economic Power Dispatch

Electricity generation is the process of generating electric power from natural energy sources. In early 1830s, the famous British scientist Michael Faraday discovered the fundamental principles of electricity generation. In most of the cases, electricity is generated from power plants by burning fossil-fuels: coal, oil and natural gas, which produce more pollutions than any other single industry and vastly contribute various impacts to the living environment. However, generation of electric power is increasing in an alarming rate to meet demand in the recent years by ignoring ill effects of pollution to the earth’s environment. Therefore, proper planning for economic power generation as well as control of environmental pollution are inevitable ones in the context of generation of electricity from power plants. The general mathematical programming (MP) model for optimal power generation was introduced by Dommel and Tinney (1968). A Comprehensive Survey on environmental power dispatch models developed from 1960s to 1970s was first surveyed by Happ (1977). Since an emission-economic power dispatch (EEPD) problem is multiobjective in nature, the goal programming (GP) approach (Ignizio, 1976), based on the satisficing philosophy (coined by Noble Laureate H. A. Simon) (Simon, 1945), as a robust tool for multiobjective decision analysis, has been successfully implemented to power generation problems (Nanda, Kothari, & Lingamurthy,1988) in the past. The field of chance constrained programming (CCP) (Charnes & Cooper, 1959) has been studied extensively and applied to various real-life problems (Keown & Taylor, 1980) including EEPD problem (Dhillon, Parti, & Kothari, 1993). However, in most of the practical decision situations, it has been observed that model parameters associated with such problems are often imprecise in nature. The most prominent approach for decision analysis in an uncertain (not precise) environment is fuzzy programming (FP) (Tanaka, Okuda, & Asai, 1974), which is based on the theory of fuzzy sets (Zadeh, 1965). Again, fuzzy goal programming (FGP) (Pal, Moitra, & Maulik, 2003) as an extension of conventional GP has also appeared as a robust tool to make flexible decision (Pal, Kumar, & Sen, 2009) in fuzzy environment. The FGP approach to EEPD problems has been studied (Pal, Chakraborti, & Biswas, 2011) in the recent past. But, the deep study on the potential use of such an approach is thin and yet to be widely circulated in the literature. Further, in most of the previous studies in this area, only two objectives, minimization of production cost and environmental-emission have been taken into account. But, consideration of other objectives inherent to an EEPD problem is rare in the literature. In this chapter, minimization of transmissionloss as a prominent one along with the other two objectives stated previously is considered for modeling and solving EEPD problems. In the Mousumi Kumar Alipurduar College, India