Power consumption analyzes with mathematical models into the overall electrical network

This paper performs analyzes using mathematical model of Fractional Brownian Distribution, M/G/∞ Model Described by Pareto Distribution, ‘Heavy Tail’ Distribution, and Gamma Distribution with Intergroup Characteristic.For performed analyses into this research are used measurements for power consumption into overall electrical network in Macedonia in time period of 16 years.The results enclosed with mathematical analytical model are compared with results from real measurements.The calculated discrepancies confirms that enclosed analytical model with Intergroup Characteristic is optimal estimation model for modeling of the power consumption of electrical network.The real-time analyses for consumption of electrical energy into the overall network or for the part of electrical network are very important for everyday real operations into the electrical networks in order to achieve the services into the electrical network with best performance and the smaller cost as it is possible.In this research are prepared and predictions for power consumption quantities into the network, so the evaluated model is used as the best practice model for direct planning of the power consumption values into the electrical network (indirectly can be planned costs and operations into the electrical network related with the values of power consumption).

► We perform model analyses of Brownian, Pareto, ‘Heavy Tail’, and Gamma Distribution.
► Mathematical analytical models are compared with results from real measurements.
► The calculated discrepancies confirms enclosed analytical model.
► Model with Intergroup Characteristic is proposed for optimal estimation model.
► With proposed model is prepared prediction for power consumption in electrical network.