公共安全停电的优化调度

Q1 Mathematics Stochastic Systems Pub Date : 2023-06-07 DOI:10.1287/stsy.2022.004
Antoine Lesage-Landry, Félix Pellerin, Duncan S. Callaway, Joshua A. Taylor
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引用次数: 0

摘要

为了减少电力系统引起的野火,公用事业公司实施了公共安全断电(psss),其中部分电网断电以降低着火的风险。调用PSPS的决定必须平衡降低着火风险和服务中断的负面影响。在这项工作中,我们考虑了三种PSPS调度方案,我们将其建模为动态规划。在前两个场景中,我们假设将N个psp作为投资策略的一部分进行预算。在第一个场景中,对于第n个事件之后声明的每个PSPS都会产生处罚。在第二种情况中,我们假设如果psp的数量低于N,则可以收回一些成本,而如果高于N,则仍然会受到惩罚。在第三种情况中,系统操作员希望最小化psp的数量,使总预期成本低于阈值。我们为每种情况提供了最优或渐近最优策略,其中前两种策略具有封闭形式的表达式。最后,建立了第一种PSPS模型策略对关键峰定价的适用性,并基于天气观测得到了降低高峰需求的最优调度策略。本研究由加拿大自然科学与工程研究委员会、数据增值研究所、国家科学基金会[奖励1351900]、美国能源部高级研究计划局[奖励DE-AR0001061]和加州大学校长实验室费用计划办公室[资助LFR-20-652467]资助。
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Optimally Scheduling Public Safety Power Shutoffs
In an effort to reduce power system-caused wildfires, utilities carry out public safety power shutoffs (PSPSs), in which portions of the grid are deenergized to mitigate the risk of ignition. The decision to call a PSPS must balance reducing ignition risks and the negative impact of service interruptions. In this work, we consider three PSPS scheduling scenarios, which we model as dynamic programs. In the first two scenarios, we assume that N PSPSs are budgeted as part of the investment strategy. In the first scenario, a penalty is incurred for each PSPS declared past the Nth event. In the second, we assume that some costs can be recovered if the number of PSPSs is below N while still being subject to a penalty if above N. In the third, the system operator wants to minimize the number of PSPSs such that the total expected cost is below a threshold. We provide optimal or asymptotically optimal policies for each case, the first two of which have closed-form expressions. Lastly, we establish the applicability of the first PSPS model’s policy to critical peak pricing and obtain an optimal scheduling policy to reduce the peak demand based on weather observations. Funding: This work was funded in part by the Natural Sciences and Engineering Research Council of Canada, the Institute for Data Valorization, the National Science Foundation [Award 1351900], the Advanced Research Projects Agency-Energy [Award DE-AR0001061], and the University of California Office of the President Laboratory Fees Program [Grant LFR-20-652467].
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来源期刊
Stochastic Systems
Stochastic Systems Decision Sciences-Statistics, Probability and Uncertainty
CiteScore
3.70
自引率
0.00%
发文量
18
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