Solving the problem of combination of Multi-fuel electric generator units using lagrange multiplier theory

Abstract

This paper presents an approach to solve the unit commitment problem with multifueloptions in the thermal power plants. Traditionally, each generator unit is used to each fuel optionwith the segmented piecewise quadratic functions, so that it is not difficult to solve them. However, it ismore realistic to represent the fuel cost function for each fossil fired plant as the segmented piecewisequadratic functions. Those units are faced with the difficulty of determining which fuel is the mosteconomical to burn. Therefore, this paper presents an approach to solve the unit commitment problemwith multi-fuel options. An advantage of the method is to formulate Lagrange mathematical functioneasily based on the Lagrange multiplier theory. The simulation result for 10 generator systems arecompared with others methods to show that the approach is a new method and an effective method tosolve the minimizing of electricity production cost of generator units with multi-fuel option.