Long Duration Battery Sizing, Siting, and Operation Under Wildfire Risk Using Progressive Hedging
arxiv(2024)
摘要
Battery sizing and siting problems are computationally challenging due to the
need to make long-term planning decisions that are cognizant of short-term
operational decisions. This paper considers sizing, siting, and operating
batteries in a power grid to maximize their benefits, including price arbitrage
and load shed mitigation, during both normal operations and periods with high
wildfire ignition risk. We formulate a multi-scenario optimization problem for
long duration battery storage while considering the possibility of load
shedding during Public Safety Power Shutoff (PSPS) events that de-energize
lines to mitigate severe wildfire ignition risk. To enable a computationally
scalable solution of this problem with many scenarios of wildfire risk and
power injection variability, we develop a customized temporal decomposition
method based on a progressive hedging framework. Extending traditional
progressive hedging techniques, we consider coupling in both placement
variables across all scenarios and state-of-charge variables at temporal
boundaries. This enforces consistency across scenarios while enabling parallel
computations despite both spatial and temporal coupling. The proposed
decomposition facilitates efficient and scalable modeling of a full year of
hourly operational decisions to inform the sizing and siting of batteries. With
this decomposition, we model a year of hourly operational decisions to inform
optimal battery placement for a 240-bus WECC model in under 70 minutes of
wall-clock time.
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