A Framework for Clustering of Micro Grids in Energy Smart Grids using the Apollonius Circle

Today, energy supplies and transportation are not traditionally affordable. So smart grids mean intelligent energy management and lower energy costs for consumers. Significant features of smart grids, scalability, resilient network distribution capability, lower network cost distribution, network flexibility and fault tolerance. All of these features appear in the concept of a micro-grid. The use of scattered products in micro energy networks has many environmental, economic and technical benefits. Optimization of the location and magnitude of generators in micro-grids plays an important role in reducing energy losses. Optimal clustering of micro-networks is also a major challenge in this regard. In this paper, we present a framework for clustering of small networks using Apollonius circular algorithm. Apollonius circles increase the precision of clustering with the help of geometric structure and high precision. Performance is equal to 5.38% for distance criterion and 16.15% for the system energy losses, and finally, 14.79% of the total annual cost is better than the past work done. Then, we have used the simulated annealing algorithm to compensate for the lack of power micro-grids and the stability of the entire network, which this action led to reducing energy losses in the amount of 26.54 kw in study grid.