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Updated: Jul 26, 2025

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Published on: February 14, 2025
A robust optimization model for microgrid considering hybrid renewable energy sources under uncertainties.
Hussain Haider1,2, Yang Jun3,4, Ghamgeen Izat Rashed1,2
1Hubei Engineering and Technology Research Center for AC/DC Intelligent Distribution Network, School of Electrical Engineering and Automation, Wuhan University, Wuhan, 430072, Hubei Province, China.
This study introduces a robust optimization model to manage uncertainties in hybrid renewable energy systems and microgrids, ensuring reliable and cost-effective electricity supply. The model minimizes day-ahead operational costs while addressing fluctuating power outputs from wind and solar sources.
Area of Science:
- Electrical Engineering
- Operations Research
- Sustainable Energy
Background:
- Future electricity generation relies on hybrid renewable energy sources and microgrids.
- Evaluating uncertain intermittent power output is crucial for sustainable and reliable microgrid operations.
- Growing energy demands necessitate advanced methods for managing renewable energy integration.
Purpose of the Study:
- To propose a robust mixed-integer linear programming model for microgrids to minimize day-ahead operational costs.
- To address uncertainties in wind turbine, photovoltaic, and electrical load outputs.
- To validate the model's effectiveness in managing energy systems with integrated renewable sources.
Main Methods:
- Developed a robust mixed-integer linear programming model.
- Utilized piecewise linear curves to handle uncertainties in renewable energy generation and load.
- Employed robust optimization techniques, including a robust worst-case scenario and max-min robust optimization.
- Validated the model through a case study on the IEEE 33-node system.
Main Results:
- The proposed robust optimization model effectively minimizes day-ahead costs under uncertainty.
- The model demonstrates superior cost-effectiveness compared to alternative optimization techniques.
- Adjusting the Uncertainty Budget Set allows for optimal decision-making in controlling load demand and renewable energy uncertainty.
- The methodology proved effective and advantageous in the IEEE 33-node system case study.
Conclusions:
- The robust optimization approach ensures high solutions for microgrid availability and cost-effectiveness.
- The study provides managerial insights into integrating renewable energy sources into microgrids.
- The proposed method offers an efficient and reliable solution for managing uncertain energy systems.
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