The invention discloses a whole-process accurate
shape finding mathematical model for a high-speed railway No.18 line fork
contact network, and solves the high-point problems of
height difference of two end points, non-uniform on-way tension, influence of sag change and the like caused by dynamic height change of the
contact network. Modeling is improved on the basis of a
hybrid cable unit theory, specifically, a geometric shape is constructed according to
contact line position partition by combining a parabola and a
catenary linear cable unit, and the method adapts to uneven tension; deriving a cable unit unbalance force
algorithm, solving tension distribution by using a Newton-Raphson iteration method, and quantifying a
coupling relation between
height difference and sag; a dynamic correction
shape finding model is established, and dynamic transition form
distortion is solved; and constructing a
pantograph-
catenary coupling dynamic model. The actual measurement
verification of the No.18 line turnout shows that the deviation of the improved model is less than 5%, the model accords with the EN50318 standard, and the quantitative analysis shows that the equal-height point is the main cause of the turnout parameters of the non-
cross contact network on the bow-
catenary coupling performance. According to the technology, the accuracy of
pantograph-catenary coupling performance analysis can be improved, and a
quantitative design basis is provided for optimization of a catenary
system.