constraints network
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Energies ◽  
2021 ◽  
Vol 14 (4) ◽  
pp. 936
Author(s):  
Jingjing Zhai ◽  
Xiaobei Wu ◽  
Zihao Li ◽  
Shaojie Zhu ◽  
Bo Yang ◽  
...  

An integrated energy system (IES) shows great potential in reducing the terminal energy supply cost and improving energy efficiency, but the operation scheduling of an IES, especially integrated with inter-connected multiple energy stations, is rather complex since it is affected by various factors. Toward a comprehensive operation scheduling of multiple energy stations, in this paper, a day-ahead and intra-day collaborative operation model is proposed. The targeted IES consists of electricity, gas, and thermal systems. First, the energy flow and equipment composition of the IES are analyzed, and a detailed operation model of combined equipment and networks is established. Then, with the objective of minimizing the total expected operation cost, a robust optimization of day-ahead and intra-day scheduling for energy stations is constructed subject to equipment operation constraints, network constraints, and so on. The day-ahead operation provides start-up and shut-down scheduling of units, and in the operating day, the intra-day rolling operation optimizes the power output of equipment and demand response with newly evolved forecasting information. The photovoltaic (PV) uncertainty and electric load demand response are also incorporated into the optimization model. Eventually, with the piecewise linearization method, the formulated optimization model is converted to a mixed-integer linear programming model, which can be solved using off-the-shelf solvers. A case study on an IES with five energy stations verifies the effectiveness of the proposed day-ahead and intra-day collaborative robust operation strategy.


2018 ◽  
Vol 30 (5) ◽  
pp. 1359-1393 ◽  
Author(s):  
Ueli Rutishauser ◽  
Jean-Jacques Slotine ◽  
Rodney J. Douglas

Finding actions that satisfy the constraints imposed by both external inputs and internal representations is central to decision making. We demonstrate that some important classes of constraint satisfaction problems (CSPs) can be solved by networks composed of homogeneous cooperative-competitive modules that have connectivity similar to motifs observed in the superficial layers of neocortex. The winner-take-all modules are sparsely coupled by programming neurons that embed the constraints onto the otherwise homogeneous modular computational substrate. We show rules that embed any instance of the CSP's planar four-color graph coloring, maximum independent set, and sudoku on this substrate and provide mathematical proofs that guarantee these graph coloring problems will convergence to a solution. The network is composed of nonsaturating linear threshold neurons. Their lack of right saturation allows the overall network to explore the problem space driven through the unstable dynamics generated by recurrent excitation. The direction of exploration is steered by the constraint neurons. While many problems can be solved using only linear inhibitory constraints, network performance on hard problems benefits significantly when these negative constraints are implemented by nonlinear multiplicative inhibition. Overall, our results demonstrate the importance of instability rather than stability in network computation and offer insight into the computational role of dual inhibitory mechanisms in neural circuits.


2012 ◽  
Vol 215-216 ◽  
pp. 571-576
Author(s):  
Lei Wang ◽  
Ai Min Wang

In the current stage of product development process, it is lack of the technology of parameters association modeling, in order to achieve the product parameter configuration modeling, building the interface association constraints network model based on the process of top-down product decomposition,. The technology proposed in this paper studied reasonable constraints organization and expression method, it includes parameter extraction, data structure based on “Interface- Characteristic parameters- Coupling constraints and product coupling modeling analysis. The technology provides support for the detailed design of product.


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