The invention discloses a three-dimensional power-frequency electric-field calculating method of ground below a UHVAC
power transmission line in a complex
terrain. The method comprises the following steps of firstly, simplifying the complex
terrain into the three-dimensional ground in a fluctuation form and establishing a calculating model; secondly, selecting a
mirror image ground and assuming that the
mirror image ground is extended into fluctuation ground; then, for line charges of a charged conductor discrete component segment, setting discrete point charges as a regular hexagon
honeycomb form in non-mirror-image ground, and simultaneously setting corresponding
mirror image charges based on a mirror image principle and establishing a discrete equation of a three-dimensional electric-field integral
mathematical model; selecting a primary function as domain
impulse function, selecting weight function according to a point
collocation method and calculating an inner product in each domain of integration to form a matrix equation; and then, solving the matrix equation and using the calculated charges to calculate a
maximum error of a matching point till that a requirement is satisfied; finally, using the optimal discrete charge to calculate three-dimensional power-frequency electric-field distribution of the fluctuation ground. By using the calculating method in the invention, calculating difficulty is reduced, calculating efficiency is increased and an actual
engineering need can be well satisfied.