In this article, we discuss the existence and uniqueness of solutions for a coupled two-parameter system of sequential fractional integro-differential equations supplemented with nonlocal integro-multipoint boundary c...In this article, we discuss the existence and uniqueness of solutions for a coupled two-parameter system of sequential fractional integro-differential equations supplemented with nonlocal integro-multipoint boundary conditions. The standard tools of the fixed-point theory are employed to obtain the main results. We emphasize that our results are not only new in the given configuration, but also correspond to several new special cases for specific values of the parameters involved in the problem at hand.展开更多
综合能源系统在提高可再生能源利用率和为系统提供灵活性方面具有一定优势,如何厘清其物料流与能量流复杂耦合关系,建立优化运行策略是亟待解决的问题。以甲醇化工园区为例,构建甲醇化工园区综合能源系统(Methanol Chemical Park Integr...综合能源系统在提高可再生能源利用率和为系统提供灵活性方面具有一定优势,如何厘清其物料流与能量流复杂耦合关系,建立优化运行策略是亟待解决的问题。以甲醇化工园区为例,构建甲醇化工园区综合能源系统(Methanol Chemical Park Integrated Energy System, MCPIES),运用序贯模块法对甲醇生产过程进行模块化处理,通过依次求解生产过程中关键的物料流,确定甲醇生产过程的物料流平衡关系,在此基础上建立量化甲醇生产单元物料流与能量流耦合关系的数学模型,从而实现其优化运行调度;同时考虑MCPIES的生产柔性可调节特性,设置多个算例对比验证其柔性可调节特性对其日常生产运行经济性的影响。仿真计算结果显示,该策略可有效地降低园区的用能成本。展开更多
文摘In this article, we discuss the existence and uniqueness of solutions for a coupled two-parameter system of sequential fractional integro-differential equations supplemented with nonlocal integro-multipoint boundary conditions. The standard tools of the fixed-point theory are employed to obtain the main results. We emphasize that our results are not only new in the given configuration, but also correspond to several new special cases for specific values of the parameters involved in the problem at hand.
文摘综合能源系统在提高可再生能源利用率和为系统提供灵活性方面具有一定优势,如何厘清其物料流与能量流复杂耦合关系,建立优化运行策略是亟待解决的问题。以甲醇化工园区为例,构建甲醇化工园区综合能源系统(Methanol Chemical Park Integrated Energy System, MCPIES),运用序贯模块法对甲醇生产过程进行模块化处理,通过依次求解生产过程中关键的物料流,确定甲醇生产过程的物料流平衡关系,在此基础上建立量化甲醇生产单元物料流与能量流耦合关系的数学模型,从而实现其优化运行调度;同时考虑MCPIES的生产柔性可调节特性,设置多个算例对比验证其柔性可调节特性对其日常生产运行经济性的影响。仿真计算结果显示,该策略可有效地降低园区的用能成本。