A mathematical model for control by transient modes of gas flows in the long-distance gas pipeline is considered in the paper. The long-distance pipeline is considered in the model as the system of Line segments serially connected via compressor stations. Gas motion in such system is described by the non-linear system of equations of gas dynamics. In the frame of this model the integral parameters which determine the expenditure of energy and durations of the transient mode are introduced. These parameters can be used for formulation the problems for optimal control steady-state and transient modes of operation of main-gas pipelines.
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