Please cite this article as: Qi Zhang, Arul Sundaramoorthy, Ignacio E. Grossmann, Jose M. Pinto, A discrete-time scheduling model for continuous power-intensive process networks with various power contracts, Computers and Chemical Engineering (2015), http://dx.
A discrete-time scheduling model for continuous power-intensive process networks with various power contracts Discrete-time scheduling model based on the concept of operating modes Efficient representation of each process by Convex Region Surrogate models Considers interaction between different processes in the network Block contract formulation for the modeling of common power contracts With proposed MILP model, large-scale industrial problems are solved within minutes
*HighlightsAbstract Increased volatility in electricity prices and new emerging demand side management opportunities call for efficient tools for the optimal operation of powerintensive processes. In this work, a general discrete-time model is proposed for the scheduling of power-intensive process networks with various power contracts. The proposed model consists of a network of processes represented by Convex Region Surrogate models that are incorporated in a mode-based scheduling formulation, for which a block contract model is considered that allows the modeling of a large variety of commonly used power contracts. The resulting mixed-integer linear programming model is applied to an illustrative example as well as to a real-world industrial test case. The results demonstrate the model's capability in representing the operational flexibility in a process network and different electricity pricing structures. Moreover, because of its computational efficiency, the model holds much promise for its use in a real industrial setting.
Rapid preparation, manipulation, and correction of spin states with high fidelity are requisite for quantum information processing and quantum computing. In this paper, we propose a fast and robust approach for controlling two spins with Heisenberg and Ising interactions. By using the concept of shortcuts to adiabaticity, we first inverse design the driving magnetic fields for achieving fast spin flip or generating the entangled Bell state, and further optimize them with respect to the error and fluctuation. In particular, the designed shortcut protocols can efficiently suppress the unwanted transition or control error induced by anisotropic antisymmetric Dzyaloshinskii-Moriya exchange. Several examples and comparisons are illustrated, showing the advantages of our methods. Finally, we emphasize that the results can be naturally extended to multiple interacting spins and other quantum systems in an analogous fashion.
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