Wang Xueteng, Wei Mengyao, Wang Jiandong, Yue Yang
College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, China.
Shandong Rongxin Group Co., Ltd., Zoucheng 273517, China.
Entropy (Basel). 2025 Mar 20;27(3):324. doi: 10.3390/e27030324.
In coal chemical industries, the optimal allocation of gas and steam is crucial for enhancing production efficiency and maximizing economic returns. This paper proposes an optimal scheduling method using operating zone models and entropy weights for an energy system in a gas-to-methanol process. The first step is to develop mechanistic models for the main facilities in methanol production, namely desulfurization, air separation, syngas compressors, and steam boilers. A genetic algorithm is employed to estimate the unknown parameters of the models. These models are grounded in physical mechanisms such as energy conservation, mass conservation, and thermodynamic laws. A multi-objective optimization problem is formulated, with the objectives of minimizing gas loss, steam loss, and operating costs. The required operating constraints include equipment capacities, energy balance, and energy coupling relationships. The entropy weights are then employed to convert this problem into a single-objective optimization problem. The second step is to solve the optimization problem based on an operating zone model, which describes a high-dimensional geometric space consisting of all steady-state data points that satisfy the operation constraints. By projecting the operating zone model on the decision variable plane, an optimal scheduling solution is obtained in a visual manner with contour lines and auxiliary lines. Case studies based on Aspen Hysys are used to support and validate the effectiveness of the proposed method.
在煤化工行业中,气体和蒸汽的优化分配对于提高生产效率和实现经济回报最大化至关重要。本文针对天然气制甲醇过程中的能源系统,提出了一种基于运行区域模型和熵权法的优化调度方法。第一步是为甲醇生产中的主要设施,即脱硫、空分、合成气压缩机和蒸汽锅炉,建立机理模型。采用遗传算法估计模型中的未知参数。这些模型基于能量守恒、质量守恒和热力学定律等物理机制。构建了一个多目标优化问题,目标是使气体损失、蒸汽损失和运行成本最小化。所需的运行约束包括设备能力、能量平衡和能量耦合关系。然后利用熵权法将该问题转化为单目标优化问题。第二步是基于运行区域模型求解优化问题,该模型描述了一个由所有满足运行约束的稳态数据点组成的高维几何空间。通过将运行区域模型投影到决策变量平面上,以等高线和辅助线的形式直观地获得最优调度方案。基于Aspen Hysys的案例研究用于支持和验证所提方法的有效性。