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Multi-objective pathfinder algorithm for multi-objective optimal power flow problem with random renewable energy
Ning Li1,2,3, Guo Zhou4, Yongquan Zhou5,6,7
1College of Artificial Intelligence, Guangxi University for Nationalities, Nanning, China.
This study introduces a new algorithm, MOPFA, to optimize power flow by minimizing generation cost, emissions, power loss, and voltage deviation. MOPFA demonstrates superior performance in accuracy and speed for renewable energy integration.
Area of Science:
- Electrical Engineering
- Optimization Theory
- Renewable Energy Systems
Background:
- The multi-objective optimal power flow (MOOPF) problem involves balancing competing objectives like cost, emissions, and grid stability.
- Integrating intermittent renewable energy sources (wind, solar, tidal) introduces significant uncertainty into power systems.
- Accurate modeling of renewable energy variability is crucial for reliable grid operation.
Purpose of the Study:
- To develop a robust MOOPF model incorporating generation cost, emissions, real power loss, and voltage deviation.
- To address the uncertainty of renewable energy sources using probabilistic distribution models.
- To propose an advanced optimization algorithm for solving the complex MOOPF problem.
Main Methods:
- Utilized Weibull, lognormal, and Gumbel distributions to model wind, solar, and tidal energy intermittency.
- Integrated four energy sources (including renewables) into the IEEE-30 test system for realistic simulations.
- Developed a multi-objective pathfinder algorithm (MOPFA) employing elite dominance and crowding distance for optimization.
Main Results:
- MOPFA effectively minimized the four key optimization objectives, achieving a well-distributed Pareto front with diverse solutions.
- The proposed model demonstrated feasibility in reducing emissions and other performance indicators compared to existing methods.
- Statistical tests confirmed MOPFA's superior multi-objective optimization performance, accuracy, and speed.
Conclusions:
- The developed MOOPF model and MOPFA provide a powerful tool for optimizing power systems with significant renewable energy penetration.
- MOPFA significantly outperforms other multi-objective algorithms in solving complex power flow optimization problems.
- The fuzzy decision system effectively selected a compromise solution, enhancing practical applicability.
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In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
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