Renewable energy sources like solar and wind power are playing an increasingly crucial role in our quest for a sustainable energy future. However, the intermittent and unpredictable nature of these sources can pose challenges for efficiently managing power grids. This is where microgrids come into play – small-scale power grids that can operate independently and integrate renewable energy sources. By linking multiple microgrids into a multi-microgrid system, researchers have found a way to enhance the reliability and flexibility of the overall energy network.
In a recent study, a team of scientists developed an innovative approach to optimize the scheduling and operation of multi-microgrid systems. They proposed a bi-level Stackelberg game model that considers the complex interactions between the different entities involved, such as the microgrid operators and a shared energy storage operator. To solve this optimization problem, the researchers introduced the Chaotic Gaussian Quantum Crayfish Optimization Algorithm (CGQCOA), an enhanced version of the Crayfish Optimization Algorithm that demonstrates superior performance in finding optimal solutions.

Tackling the Challenges of Multi-Microgrid Systems
As the world transitions towards a more sustainable energy future, the integration of renewable energy sources like solar and wind power has become a top priority. However, the intermittent and unpredictable nature of these energy sources can pose significant challenges for power grid operators. This is where microgrids, self-contained power grids that can operate independently, have emerged as a promising solution.
By linking multiple microgrids into a multi-microgrid system, researchers have found a way to enhance the reliability and flexibility of the overall energy network. In these complex systems, the interactions between various entities, such as microgrid operators (MGOs) and shared energy storage operators (SESOs), can significantly impact the system’s optimization and scheduling.
Modeling the Intricate Relationships in Multi-Microgrid Systems
To address the challenges posed by these intricate relationships, the researchers in this study developed a bi-level Stackelberg game model. In this model, the Alliance, representing the operator of the multi-microgrid system, acts as the leader, while the MGOs and the SESO are the followers.
The Alliance is responsible for setting the energy prices and managing the energy flow between the microgrids and the higher-level energy network. The MGOs, on the other hand, optimize their controllable device outputs, energy purchase and sale strategies, and energy storage leasing strategies to maximize their own revenue. The SESO, in turn, plans the energy storage capacity based on the MGOs’ leasing needs, aiming to generate revenue through leasing fees.

Figure 1
Introducing the Chaotic Gaussian Quantum Crayfish Optimization Algorithm
To solve this complex optimization problem, the researchers proposed the Chaotic Gaussian Quantum Crayfish Optimization Algorithm (CGQCOA), an enhanced version of the Crayfish Optimization Algorithm (COA). The CGQCOA incorporates several key improvements:
1. Chaotic Initialization: The algorithm uses a logistic-sine hybrid chaotic map to initialize the population, enhancing the diversity and randomness of the initial solutions.
2. Quantum Behavior: The algorithm employs Quantum Behavior to improve the global search capability, allowing the crayfish population to explore the entire feasible solution domain more effectively.
3. Gaussian Distribution: The traditional Quantum Behavior is modified by incorporating independent variables generated from a Gaussian Distribution, preventing premature convergence and further enhancing the search ability.
4. Nonlinear Control Strategy: The algorithm utilizes a Nonlinear Control Strategy to regulate the contraction-expansion coefficient, accelerating the convergence speed in the later stages of the optimization process.

Figure 2
Validating the Effectiveness of the CGQCOA
To validate the performance of the CGQCOA, the researchers compared its optimization results with several other algorithms, including the original COA, Chaotic COA (CCOA), Gaussian Quantum COA (GQCOA), and well-known algorithms like Particle Swarm Optimization (PSO) and Whale Optimization Algorithm (WOA).
The results showed that the CGQCOA outperformed the other algorithms in terms of solution accuracy and convergence speed across various benchmark functions. Specifically, the CGQCOA exhibited relative errors of 98%, 20.96%, 98.74%, and 16.55% compared to the original COA, demonstrating its superior optimization capabilities.
Optimizing Multi-Microgrid Systems for a Greener Future
The researchers further applied the CGQCOA to optimize the operation of a multi-microgrid system consisting of three microgrids. The simulation results revealed that the proposed strategy not only increased the revenue of the microgrids, the Alliance, and the SESO but also significantly reduced the penalty costs associated with pollutant emissions.
Compared to a scenario where the microgrids operate independently, the proposed strategy increased the revenue of Microgrid 1, Microgrid 2, and Microgrid 3 by 0.73%, 1.17%, and 1.04%, respectively. Additionally, the penalty cost of pollutant emissions decreased by 5.9%, 11.5%, and 12.68% for the respective microgrids. The SESO’s revenue also increased by 1.91%, demonstrating the win-win outcomes for all the entities involved.
Unlocking the Potential of Multi-Microgrid Systems
The findings of this study highlight the importance of optimizing the scheduling and operation of multi-microgrid systems to maximize the benefits of renewable energy integration. By leveraging advanced optimization algorithms like the CGQCOA, researchers can help power grid operators navigate the complex interactions and uncertainties inherent in these systems, paving the way for a more sustainable and resilient energy future.
As the world continues to grapple with the challenges of climate change and the need for clean energy, innovative solutions like the one presented in this study will play a crucial role in shaping the energy landscape of tomorrow.
Author credit: This article is based on research by Dongmei Yan, Hongkun Wang, Yujie Gao, Shiji Tian, Hong Zhang.
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