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Availability augmentation of smart grid systems using Markovian approach and nature inspired algorithms
Riya Agrawal1, Monika Saini1, Ashish Kumar2
1Department of Mathematics and Statistics, Manipal University Jaipur, Jaipur, 303007, India.
This study optimizes smart grid system availability using stochastic modeling and hybrid algorithms. Sequential SOHBA demonstrated superior performance in predicting system availability compared to other methods.
Area of Science:
- Engineering
- Computer Science
- Operations Research
Background:
- Smart grid systems require high availability for reliable operation.
- Stochastic modeling and nature-inspired algorithms are emerging tools for system optimization.
- Existing methods may not fully capture the complexities of smart grid degradation and uncertainty.
Purpose of the Study:
- To develop a novel stochastic model for smart grid availability.
- To optimize smart grid availability using hybrid nature-inspired algorithms.
- To evaluate the performance and accuracy of the proposed model and algorithms.
Main Methods:
- Developed a novel stochastic model for smart grid systems using Markov birth-death process.
- Integrated degradation, uncertain sensor behavior, and exponential failure/repair laws.
- Employed hybrid nature-inspired algorithms for parameter estimation and availability optimization.
- Utilized Friedman and Wilcoxon tests for statistical validation.
Main Results:
- Sequential SOHBA significantly outperformed traditional SO, HBA algorithms, and Monte Carlo simulations.
- The proposed stochastic model accurately predicted smart grid system availability.
- Numerical results for steady-state availability were derived, and the impact of failure/repair rates was analyzed.
Conclusions:
- The developed stochastic model and sequential SOHBA offer a robust approach for smart grid availability optimization.
- The findings highlight the effectiveness of integrating advanced modeling and optimization techniques for critical infrastructure.
- Further research can explore variations in failure distributions and more complex system architectures.
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