Ghosh, Aritra, Goswami, Arup Kumar, Ustun, Taha Selim et al. (1 more author) (2026) Optimizing cost and reliability in off-grid microgrids: A hybrid paradigm utilizing k-medoids for scenario reduction. Energy Conversion and Management: X. 101848. ISSN: 2590-1745
Abstract
This paper presents a DSM based reliable optimum resource scheduling for isolated, distributed generation based on off-grid microgrids with minimum operating cost considering uncertainty and reliability under realistic forecasting. The case study considers an off grid microgrid (PV 1.0 MW, WT 0.4 MW, HY 0.3 MW, DG 0.4 MW, BESS 1 MWh) with historical data set to find out the operating cost per day. The realistic study is performed under four paradigms Deterministic, Stochastic, Robust and hybrid. Here the scheduling problem is managed by Pyomo MILP model to minimize day-ahead operating cost where the adequacy is handled through unmet-energy slack and reported by EENS and LOLP. Without mixing the multiple criteria the best result is reported regarding the lowest cost with permissible reliability constraints. Deterministic study is based on point forecast while stochastic methods considering uncertainty. Under these circumstances 503 scenarios are generated based on the 10 years of historical data whereas the baseline load curve is generated using the data from June 2023–June 2024. Now these hourly trajectories (24 h horizon) are reduced by using k-medoid methods where 60 clusters are generated and one medoid is representing the cluster considering diurnal shape of the load curve with the correlation with Demand Side Management. Under the robust paradigm, three stress envelops are created to overcome the renewable shortfall and sudden demand surges after the objective functions are solved deterministically. Under hybrid paradigm clustering and scenario reduction using k-medoid methods is done like stochastic way but after that each medoids are processed under the three robust stress envelops. The main aim of the study is not to find the minimum cost but an optimum cost with EENS as low as possible with a higher renewable penetration. After the study it is seen that Deterministic scheduling is cost efficient (₹111,853) but fragile due to single point forecast (EENS = 0.334) where as Robust is reliable (EENS = 0.041) but conservative and not cost efficient (₹135,125). Stochastic paradigm also struggles with reliability (EENS = 0.294) as the unmet energy is high whereas proposed Hybrid Paradigm balances between the cost (₹105,216) and reliability (EENS = 0.046) also it will increase the renewable penetration (75.23%). This study aims not only to advance the hybrid paradigm but also to strengthen the operator's decision-making power.
Metadata
| Item Type: | Article |
|---|---|
| Authors/Creators: |
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| Copyright, Publisher and Additional Information: | © 2026 The Author(s). Published by Elsevier Ltd. |
| Keywords: | Deterministic,DSM,EENS,Gurobi,Hybrid,K-medoid,MILP,Robust,Stochastic |
| Dates: |
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| Institution: | The University of York |
| Academic Units: | The University of York > Faculty of Sciences (York) > Electronic Engineering (York) |
| Date Deposited: | 09 Jun 2026 15:00 |
| Last Modified: | 28 Sep 2026 14:20 |
| Published Version: | https://doi.org/10.1016/j.ecmx.2026.101848 |
| Status: | Published |
| Refereed: | Yes |
| Identification Number: | 10.1016/j.ecmx.2026.101848 |
| Related URLs: | |
| Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:241885 |
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