Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  addresses the day ahead network constrained thermal unit commitment problem under uncertainty. In this problem the electrical network is considered by a DC por flow model with phase angles represented directly into the model and the associated flow limit constraints dynamically introduced through an iterative process. The uncertainty regards to the stochastic demand to be supplied by thermal plants, possibly due to a configuration with high wind penetration. Two main contributions are presented: the first is a new compact mixed-integer formulation for unit commitment constraints such as minimum up/down times, by defining “multi-node constraints” that comprise integer variables related to all nodes in given sub-trees of the original scenario tree. The second is the application of a local branching strategy instead of a standard branch-and-cut algorithm to solve the problem. Computational experiments are carried out with an IEEE 118 buses system, assuming severe constraints on transmission lines capacities, in two scenarios trees for a 24 hour period.
['Carlos Henrique Medeiros de Sabóia', 'Andre Luiz Diniz']
I am writing a research paper on a idea A local branching approach for network-constrained thermal unit commitment problem under uncertainty
[{"from": "human", "value": "I am writing a research paper on a idea A local branching approach for network-constrained thermal unit commitment problem under uncertainty"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  addresses the day ahead network constrained thermal unit commitment problem under uncertainty. In this problem the electrical network is considered by a DC por flow model with phase angles represented directly into the model and the associated flow limit constraints dynamically introduced through an iterative process. The uncertainty regards to the stochastic demand to be supplied by thermal plants, possibly due to a configuration with high wind penetration. Two main contributions are presented: the first is a new compact mixed-integer formulation for unit commitment constraints such as minimum up/down times, by defining \u201cmulti-node constraints\u201d that comprise integer variables related to all nodes in given sub-trees of the original scenario tree. The second is the application of a local branching strategy instead of a standard branch-and-cut algorithm to solve the problem. Computational experiments are carried out with an IEEE 118 buses system, assuming severe constraints on transmission lines capacities, in two scenarios trees for a 24 hour period."}]