Optimization Method of Mine Ventilation Network Regulation Based on Mixed-Integer Nonlinear Programming

Lixue Wen, Deyun Zhong, Lin Bi (), Liguan Wang and Yulong Liu
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Lixue Wen: School of Resources and Safety Engineering, Central South University, Changsha 410083, China
Deyun Zhong: School of Resources and Safety Engineering, Central South University, Changsha 410083, China
Lin Bi: School of Resources and Safety Engineering, Central South University, Changsha 410083, China
Liguan Wang: School of Resources and Safety Engineering, Central South University, Changsha 410083, China
Yulong Liu: School of Resources and Safety Engineering, Central South University, Changsha 410083, China

Mathematics, 2024, vol. 12, issue 17, 1-16

Abstract: Mine ventilation is crucial for ensuring safe production in mines, as it is integral to the entire underground mining process. This study addresses the issues of high energy consumption, regulation difficulties, and unreasonable regulation schemes in mine ventilation systems. To this end, we construct an optimization model for mine ventilation network regulation using mixed-integer nonlinear programming (MINLP), focusing on objectives such as minimizing energy consumption, optimal regulation locations and modes, and minimizing the number of regulators. We analyze the construction methods of the mathematical optimization model for both selected and unselected fans. To handle high-order terms in the MINLP model, we propose a variable discretization strategy that introduces 0-1 binary variables to discretize fan branches’ air quantity and frequency regulation ratios. This transformation converts high-order terms in the constraints of fan frequency regulation into quadratic terms, making the model suitable for solvers based on globally accurate algorithms. Example analysis demonstrate that the proposed method can find the optimal solution in all cases, confirming its effectiveness. Finally, we apply the optimization method of ventilation network regulation based on MINLP to a coal mine ventilation network. The results indicate that the power of the main fan after frequency regulation is 71.84 kW, achieving a significant energy savings rate of 65.60% compared to before optimization power levels. Notably, ventilation network can be regulated without adding new regulators, thereby reducing management and maintenance costs. This optimization method provides a solid foundation for the implementation of intelligent ventilation systems.

Keywords: mine ventilation; ventilation network; ventilation network regulation; mixed-integer nonlinear programming (MINLP); variable discretization (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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