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

Kien Chi Le 1, *
Cuong Minh Duc Nguyen 2
  1. Ho Chi Minh City - University of Technical Education
  2. Ly Tu Trong Technical College of Ho Chi Minh City
Correspondence to: Kien Chi Le, Ho Chi Minh City - University of Technical Education. Email: pvphuc@vnuhcm.edu.vn.
Volume & Issue: Vol. 16 No. 2 (2013) | Page No.: 54-62 | DOI: 10.32508/stdj.v16i2.1516
Published: 2013-06-30

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Copyright The Author(s) 2023. This article is published with open access by Vietnam National University, Ho Chi Minh city, Vietnam. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0) which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited. 

Abstract

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.

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