Abstract:

Although there are many forms of the state equation for the overhead wire and their solving processes in present design work, they are all

simplified based on the parabola. Certain error will occur in design calculation based on these forms of state equation; especially, the error will be more

obvious under the conditions of large altitude difference, large span and large windage yaw. The exact state equation for the catenary is transcendental

equation including hyperbolic function. Using the Newton iteration method, the solution of the equation was found. In the solving process, the exact state

equation for the catenary with conditions of large altitude difference, large span and large windage yaw was adopted, and the result verification method was

given.
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Key words: power transmission line, catenary, hyperbolic function, state equation, Newton iteration method