Energy-saving slope optimization method based on Gaussian pseudo-spectral method
A Gaussian pseudospectral method and optimization method technology, applied in the field of rail transit line design, can solve problems such as the inability to find the optimal solution, and achieve the effect of reducing operating costs, realizing energy conservation and emission reduction, and saving operating energy consumption.
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[0105] The energy-saving slope optimization method based on the Gauss pseudo-spectral method of the present invention is suitable for the longitudinal section design of urban rail transit lines, and can provide the optimal energy-saving slope design scheme for train running energy consumption. figure 2 shown;
[0106] Include the following steps:
[0107] 1) Transform the energy-saving slope optimization problem of train operation into the expression form of the optimal control problem, and set boundary constraints, path constraints, allowable control and performance indicators according to the state of train manipulation;
[0108] For the optimal control problem of the train operation system, the gradient is selected as the allowable control u(t) of the optimal control problem, and the train operation speed, energy consumption, distance, and elevation difference are used as the system state x(t), and are divided into four parts according to the working conditions. The stage...
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