In this talk, I will describe our recent work on sizing and management of battery storage in a power grid with a high penetration of renewables. At the planning timescale, we consider the problem of sizing storage for reliable integration of renewables into the power grid. We use a Markov modulated fluid queue to model the loss of load probability (LOLP) associated with a renewable generator bundled with a battery, serving an uncertain demand process. Further, we characterize the asymptotic behavior of the LOLP as the battery size scales to infinity. Our results shed light on the fundamental limits of reliability achievable, and also guide the sizing of the storage required in order to meet a given reliability target. Using this
framework, we then explore the statistical economies of scale in battery sizing that are achievable by sharing the battery between different renewable generators. A theoretical analysis of the large deviations decay rate of the combined LOLP of the system with respect
to the (shared) battery size, as well as an extensive case study using real-world data, demonstrate the tremendous economies achievable via battery sharing. Finally, at the operations timescale, we propose efficient, fair, and stable algorithms for intra-community as well as inter-community energy sharing in the presence of storage constraints and supply/demand uncertainty.
This is joint work with Vivek Deulkar, Karan Chadha and Ankur Kulkarni.
Jayakrishnan Nair is Associate Professor of Electrical Engineering at IIT Bombay. His research draws on tools from queueing theory, applied probability, game theory, and control theory to address performance evaluation and design issues in networks, service systems, and smart power grids. He is a recipient of best paper awards at IFIP Performance 2010 & 2020, and ACM e-Energy 2020.