Open AccessSolving the problem of combination of Multi-fuel electric generator units using lagrange multiplier theory
Author(s) -
Kien Chi Le,
Cuong Minh Duc Nguyen
Publication year - 2013
Publication title -
khoa học công nghệ
Language(s) - English
Resource type - Journals
ISSN - 1859-0128
DOI - 10.32508/stdj.v16i2.1516
Subject(s) - lagrange multiplier , piecewise , mathematical optimization , generator (circuit theory) , quadratic equation , computer science , sequential quadratic programming , economic dispatch , electricity , power system simulation , multiplier (economics) , constraint algorithm , boiler (water heating) , quadratic programming , electric power system , mathematics , power (physics) , engineering , electrical engineering , mathematical analysis , physics , geometry , quantum mechanics , economics , macroeconomics , waste management
This paper presents an approach to solve the unit commitment problem with multifuel options in the thermal power plants. Traditionally, each generator unit is used to each fuel option with the segmented piecewise quadratic functions, so that it is not difficult to solve them. However, it is more realistic to represent the fuel cost function for each fossil fired plant as the segmented piecewise quadratic functions. Those units are faced with the difficulty of determining which fuel is the most economical to burn. Therefore, this paper presents an approach to solve the unit commitment problem with multi-fuel options. An advantage of the method is to formulate Lagrange mathematical function easily based on the Lagrange multiplier theory. The simulation result for 10 generator systems are compared with others methods to show that the approach is a new method and an effective method to solve the minimizing of electricity production cost of generator units with multi-fuel option.