论文标题
使用动态坡道约束对平面非线性MIMO过程的需求响应
Demand Response for Flat Nonlinear MIMO Processes using Dynamic Ramping Constraints
论文作者
论文摘要
挥发性电价使需求响应（DR）对可以调节其生产率的流程有吸引力。但是，如果必须使用其本地多能系统同时安排非线性动态过程，则通常无法实时解决结果的调度优化问题。对于单输入单输出过程，可以通过动态渐变约束来简化问题，而无需牺牲可行性，从而将生产率的导数定义为自由度的渐进程度。在这项工作中，我们通过坐标转换将动态坡道约束扩展到平面多输入多输出过程，该转换给出了真正的非线性斜坡限制。通过分段仿射函数近似这些斜坡限制，可提供混合的线性公式，以确保可行的操作。作为一个案例研究，为加热反应器分离器过程得出了动态斜坡限制，该过程随后与其多能系统同时安排。动态坡道公式桥接了严格的过程模型与简化过程表示之间的差距，以实时调度。
Volatile electricity prices make demand response (DR) attractive for processes that can modulate their production rate. However, if nonlinear dynamic processes must be scheduled simultaneously with their local multi-energy system, the resulting scheduling optimization problems often cannot be solved in real time. For single-input single-output processes, the problem can be simplified without sacrificing feasibility by dynamic ramping constraints that define a derivative of the production rate as the ramping degree of freedom. In this work, we extend dynamic ramping constraints to flat multi-input multi-output processes by a coordinate transformation that gives the true nonlinear ramping limits. Approximating these ramping limits by piecewise affine functions gives a mixed-integer linear formulation that guarantees feasible operation. As a case study, dynamic ramping constraints are derived for a heated reactor-separator process that is subsequently scheduled simultaneously with its multi-energy system. The dynamic ramping formulation bridges the gap between rigorous process models and simplified process representations for real-time scheduling.
