Modified IEEE 30-Bus Test Case (For Min-Max Load Shedding Applications)
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Min-Max formulation is a common fairness mechanic utilized in communication system. It works by minimizing the worst case scenario amongst all the nodes in a system, For transmission and energy storage planning applications, we can utilize this fairness mechanic to bolster equity amongst the nodes in our system. For the project this is being utilized for, min-max formulation is used to minimize the worstcase load shedding across each bus in our system. The worst case in this situation being the highest load shedding cost, based on the value of lost load (VoLL) assigned to each bus. These VoLL values are assigned based on the vulnerability index selected for this project. By utilizing this fairness mechanic, we can promote equity across the system, and demonstrate that the min-max formulation of load shedding improves the total cost in the transmission problem. Transmission and energy expansion problems are a form of optimization in which we try to minimize the total cost of both investment of new lines and/or energy storage units, and the operations cost associated with these new lines/energy storage units.
极小极大建模(Min-Max formulation)是通信系统中常用的公平性机制,其核心逻辑为最小化系统内所有节点面临的最坏场景。针对输电与储能规划类应用,我们可借助该公平性机制提升系统内各节点间的公平性水平。本项目所采用的极小极大建模,旨在最小化系统中每条母线的最大切负荷量。此处的最坏场景指基于各母线配置的失负荷价值(Value of Lost Load, VoLL)计算得到的最高切负荷成本,而上述失负荷价值的取值依据本项目选定的脆弱性指数确定。通过应用该公平性机制,我们可提升系统整体公平性,并证明基于极小极大建模的切负荷方案可优化输电问题的总成本。输电扩容与储能扩容问题属于一类优化问题,其优化目标为最小化新建输电线路及储能单元的投资成本,以及对应设施的运维总成本。




