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Stochastic optimisation model to optimise the contractual generation capacity of a battery-integrated distributed energy resource in a balancing services contract

Ussama Rai, Jingyi Chen, Gbemi Oluleye, Adam Hawkes

2025Energy9 citationsDOIOpen Access PDF

Abstract

Popular heuristic approaches applied by demand response aggregators often use conservative tactics and may fall short of the contractual generation capacity of a distributed energy resource (DER) allocation in a balancing services (BS) contract. Hence, the possibility of optimising revenue remains generally unexplored. This research presents a novel framework for aggregators by employing a two-stage stochastic mixed integer nonlinear programming model to tackle site electricity demand unpredictability and the uncertainty of short-term operating reserve (STOR) calls to find the optimal generation capacity of a diesel generator (DG) to contract in STOR service. In the first stage, K-means clustering for innovative segmentation and rigorously categorising half-hourly site electricity demand data into optimal demand bins is employed. In the second stage, the model integrates a behind-the-meter battery energy storage system (BESS) to enhance performance and evaluate scenarios with and without BESS. Additionally, the study evaluates the effects of varying BESS capacities to enhance the contractual capacity of the DG, resulting in significantly improved revenue. A rigorous sensitivity analysis of penalty cost, utilization payment, and storage capacity ensures the robustness of the model across varied conditions. Results show the site revenue increases between 7.91% to 20.27% compared to the deterministic MIQCP approach previously employed. • SMINLP model to optimise contractual generation capacity of a battery-integrated grid-connected distributed energy resource to offer in a balancing services contract. • K-means clustering for demand bin characterisation of site electricity demand under uncertainty of STOR events due to temporal fluctuations. • Incorporation of behind the meter battery energy storage system to further optimise the contractual capacity of the DER to enhance revenue and mitigate penalty costs during STOR calls. • Rigorous sensitivity analysis of important factors like penalty cost, utilization payment, and storage capacity to ensure the robustness of the stochastic model across varied conditions. • Analysing the impact of STOR events occurrence within various site demand levels. • Between 7.91% to 20.27% revenue increase compared to MIQCP approach previously employed.

Topics & Concepts

Battery (electricity)Distributed generationStochastic modellingResource (disambiguation)BusinessEnvironmental economicsBattery capacityComputer scienceOperations researchEngineeringDistributed computingIndustrial organizationEconomicsComputer networkRenewable energyFinanceElectrical engineeringPower (physics)PhysicsQuantum mechanicsSmart Grid Energy ManagementElectric Vehicles and InfrastructureMicrogrid Control and Optimization