Distribution spare transformers and optimization of the location of mobile transformers

In order to increase the stability of electricity supply in distribution systems, this article has determined the number of transformers needed in the warehouse and their storage location. To ensure reliability in distribution substations, spare transformers are required in each substation. If there is no spare transformer in a post, the fault of the transformer may lead to disconnection of the load connected to it. On the other hand, having a spare transformer at each post would be very costly. For this reason, in this article, the problem of determining the location of spare transformers will be discussed. For this purpose, the desired cost function is considered according to the distance function, and three functions of Euclidean distance, squared Euclidean distance and direct distance are used. What is searched for is a place that can minimize the determined total cost function. For this purpose, a combined method (Markov and Monte Carlo) has been used to model transformer maintenance and then to determine the optimal location of spare transformers, and Matlab software optimization algorithm has been used for simulation. The proposed model has been implemented in a 33-bus IEEE network and it can be seen that the location of the spare transformers also changes with the change in the importance of the load and this change is more intense in the direct distance method.