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Magnus Korpas

Publications and source records attributed to Magnus Korpas.

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Power System Decarbonization: Impacts of Energy Storage Duration and Interannual Renewables Variability

Decarbonization of the electricity sector is one of the major measures in slowing down the pace of climate change. In this paper, we analyze the impacts of energy storage systems (ESS) and interannual uncertainty of variable renewable energy (VRE) on power system decarbonization in 2050. We perform capacity expansion optimization based on technology cost projections and CO2 emission restrictions using 11 years of VRE and load data in Italy's power system, with a particular focus on the role of ESS and its duration. We also explore capacity expansion optimization based on multiple-year vs. single-year data to quantify the impact of VRE interannual variability. Our results indicate high renewables penetration even in the absence of decarbonization policies. In the transition to zero carbon system, CCS plays a minor role due to its carbon capture efficiency. ESS investments contribute to lower system costs by replacing more expensive flexibility resources. However, longer ESS durations have lower marginal value per added kWh ESS. Interannual variability of VRE substantially changes the system's configuration and energy cost. Decision-making based on single-year data substantially increases the systems' operational costs in other years. In contrast, optimizing over multiple years provides a more robust and cost effective generation expansion strategy.

eess.SY

Operational Valuation for Energy Storage under Multi-stage Price Uncertainties

This paper presents an analytical method for calculating the operational value of an energy storage device under multi-stage price uncertainties. Our solution calculates the storage value function from price distribution functions directly instead of sampling discrete scenarios, offering improved modeling accuracy over tail distribution events such as price spikes and negative prices. The analytical algorithm offers very high computational efficiency in solving multi-stage stochastic programming for energy storage and can easily be implemented within any software and hardware platform, while numerical simulation results show the proposed method is up to 100,000 times faster than a benchmark stochastic-dual dynamic programming solver even in small test cases. Case studies are included to demonstrate the impact of price variability on the valuation results, and a battery charging example using historical prices for New York City.

math.OC

A Lagrangian Policy for Optimal Energy Storage Control

This paper presents a millisecond-level look-ahead control algorithm for energy storage with constant space complexity and worst-case linear run-time complexity. The algorithm connects the optimal control with the Lagrangian multiplier associated with the state-of-charge constraint. It is compared to solving look-ahead control using a state-of-the-art convex optimization solver. Simulation results show that both methods obtain the same control result, while the proposed algorithm runs up to 100,000 times faster and solves most problems within one millisecond. The theoretical results from developing this algorithm also provide key insights into designing optimal energy storage control schemes at the centralized system level as well as under distributed settings.

math.OC