基于混合整数规划的风流两步骤调控优化方法

doi:10.11872/j.issn.1005-2518.2024.02.0014

摘要/Abstract

摘要：

实现按需通风是当前矿井智能通风系统推进建设过程的核心技术问题。为解决矿井通风网络优化调控非线性模型求解困难的问题，在改进两步骤通风优化方法的基础上，提出了一种基于混合整数规划的风流两步骤调控优化数学模型。该模型以通风能耗最小、调节点个数最少和调节点位置最佳等为目标，是一种多目标线性规划模型，其求解结果更加符合矿山实际调控需求。改进的两步骤通风优化方法具有以下优点：通过引入混合整数规划方法，该模型可以对调节方案的调节点个数和调节方式进行约束；通过引入分支调节级数，该模型可以根据井下实际情况对调节方案的位置进行约束，从而提高了通风网络优化调节方案的灵活性；此外，通过多次求解风量分配对应调控方案的方式，该模型既可以得到近似满足风量未知调控模型的求解方案，也可以避免非线性模型求解不收敛的问题。通过构建矿井通风优化调控计算实例模型，在通风网络模型进行分风计算的基础上验证了通风网络模型调控的可靠性。

关键词: 矿井通风, 通风调节, 通风优化, 风流调节, 两步法, 混合整数规划

Abstract:

Intelligent mining is an important direction for the future development of the mining industry.The construction of mine intelligent ventilation system is a key part of promoting the digital and intelligent development of mines.Under the current background of energy conservation and emission reduction，the ways of digital and information technology to achieve low-carbon mining，efficient utilization and intelligent control of non-ferrous metal resources，is the important technical guarantee to achieve the strategy of “carbon peaking and carbon neutrality”.The key to realize the high-efficiency utilization of non-ferrous metal resources is to adopt the intelligent ventilation technology to reduce the energy consumption.In the current process of pro-moting the construction of intelligent mine ventilation system，a common hot and difficult issue is to realize the optimal regulation of airflow of mine ventilation system under the condition of ventilation on-demand.The ventilation optimization regulation of intelligent ventilation system requires that on the premise of satisfying the dynamic ventilation on-demand in different periods，the ventilation optimization theory based on fluid network was adopted to obtain a ventilation optimization regulation scheme that meets the requirements of safety，technology and economic.Then the airflow distribution and air pressure distribution of the ventilation network were adjusted to ensure the safe，reliable，stable and economic operation of the mine ventilation system.In order to solve the problem of difficulty in solving the optimization and regulation model of nonlinear mine ventilation network，based on the basic mathematical model of ventilation network airflow regulation，the method of airflow control and optimization of ventilation network was analyzed，and the objectives and constraints of the airflow regulation optimization model based on multi-objective mixed integer programming were analyzed.A two-step airflow control optimization mathematical model based on the mixed integer programming method by improving the two-step ventilation optimization method was proposed.The mathematical model is a multi-objective programming linear model with the goals of minimum ventilation energy consumption，minimum number of regulation equipment and optimal position of regulation equipment，so that the solution result of the mathematical model is more in line with the actual regulation needs.The mathematical model can constraint the number and regulating ways of regulation position by introducing the mixed integer programming method，and constraint the position of regulation schemes according to the actual situation of the mine by introducing the regulation level of branches，which improve the flexibility of ventilation regulation optimization schemes.In addition，by solving the corresponding regulation schemes of airflow distribution multiple times，the mathematical model can obtain a solution scheme that approximately satisfies the solution result of regulation mathematical model with unknown airflow，while avoiding the problem of non-convergence in solving nonlinear models.We construct a calculation example for the mine ventilation optimization regulation problem，and verify the reliability of ventilation regulation mathematical model based on the calculation of airflow distribution.

Key words: mine ventilation, ventilation regulation, ventilation optimization, airflow regulation, two-step way, method integer programming

中图分类号:

TD72

钟德云, 文历学, 王李管. 基于混合整数规划的风流两步骤调控优化方法[J]. 黄金科学技术, 2024, 32(2): 356-365.

Deyun ZHONG, Lixue WEN, Liguan WANG. Two-step Optimization Method for Airflow Control Based on Mixed Integer Programming[J]. Gold Science and Technology, 2024, 32(2): 356-365.

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参考文献 0

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编号	位置	类型	长度/m	阻力系数 /（N·s²·m^-8）	风阻 /（N·s²·m^-8）	解算风量 /（m³·s^-1）	解算风压/Pa	风速 /（m·s^-1）	需风量 /（m³·s^-1）	调节风压/Pa
20	进风	一般	28.06	0.1000	0.0281	130.00	474.20	11.50	-	-
21	出风	定流	25.71	0.1000	0.0257	130.00	-568.52	11.50	130	-1 003.15
1	内部	一般	27.37	0.1100	0.0301	27.86	23.38	2.79	-	-
2	内部	一般	27.37	0.1300	0.0355	25.81	23.70	2.58	-	-
3	内部	一般	11.75	0.1000	0.0117	1.82	0.04	0.18	-	-
4	内部	一般	16.00	0.1100	0.0176	26.04	11.94	2.60	-	-
5	内部	一般	16.00	0.1000	0.0160	26.87	11.56	0.16	-	-
6	内部	一般	11.75	0.1100	0.0129	1.06	0.01	0.11	-	-
7	内部	一般	7.97	0.1000	0.0079	10.99	0.96	1.10	-	-
8	内部	一般	6.51	0.1000	0.0065	16.87	1.85	1.69	-	-
9	内部	一般	7.97	0.1000	0.0079	11.30	1.02	1.13	-	-
10	内部	一般	6.51	0.1000	0.0065	14.50	1.37	1.45	-	-
11	内部	一般	34.33	0.0800	0.0274	24.03	15.87	2.40	-	-
12	内部	一般	36.15	0.1100	0.0397	25.10	25.06	2.51	-	-
13	内部	一般	26.17	0.1300	0.0340	39.60	53.38	3.96	-	-
14	内部	一般	34.34	0.0700	0.0240	25.96	16.20	2.60	-	-
15	内部	一般	36.15	0.1200	0.0434	24.13	25.27	2.41	-	-
16	内部	一般	20.03	0.1100	0.0220	49.37	53.73	4.94	-	-
17	内部	一般	41.25	0.1200	0.0495	27.07	36.29	2.71	-	-
18	内部	一般	26.17	0.1200	0.0314	41.01	52.84	4.10	-	-
19	内部	定流	22.78	0.1300	0.0296	80.00	4.295	8.00	80	-185.28

调节方案	调节设置	编号	调节风压/Pa	调节方式
方案一	分支#19不可调	4	-185.28	增能
		17	-185.28	增能
		5	-185.28	增能
		21	-1 003.15	增能
方案二	分支#19不可调；提高调节点个数目标权重	11	185.28	增阻
		14	185.28	增阻
		20	-1 188.43	增能
方案三	分支#19不可调；提高最少调节点个数目标权重	11	185.28	增阻
		14	185.28	增阻
		21	-1 188.43	增能
方案四	分支#19不可调；提高最佳调节方式目标权重	11	185.28	增阻
		14	185.28	增阻
		21	-1 188.43	增能

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