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The paper presents investigations of a genetic algorithm for computations of power losses in the MV power grid. In this case, the vector of start population PO0 and mutation likelihood was investigated. Diagrams of power losses in the grid dependent on the value of the mutation operator as well as the vector size of start population p are presented. The construction of the parallel genetic algorithm is presented. Its properties are verified on the cluster of workstations environment using MPI library. The algorithm is validated with a medium sized electrical grid.