Representation of Transmission and Distribution Networks in the Mathematical Model of the Electricity Market Equilibrium

The models of transmission and distribution power networks, which adequately reflect the physical properties of such networks in problems of modelling of the electricity market equilibrium, are suggested. The transmission network model, based on the theory of electrical circuits, establishes a connection between the power flow in power lines and the potentials at the network nodes in accordance with Kirchhoff's laws and the Hamilton's principle of the least action. Aggregated models of distribution networks seem to be quadratic dependencies of electricity losses in such networks on the value of final consumption. In the models of transmission and distribution networks the physical parameters of power lines are used, which makes it possible to use such models to solve practical problems of modelling equilibrium states of the electricity market. Unlike well-known models, the suggested network models do not include coefficients, which are difficult to identify. Those coefficients we directly determined by the existing parameters of power lines, which makes its possible to use suggested models to solve practical problems of finding equilibrium states of competitive electricity markets.