| Title |
Shortest Connection of Transmission Lines with Intersection Angle via Specific Point (p, q) |
| Authors |
김주철(Ju-Chul Kim) ; 이상중(Sang-Joong Lee) |
| DOI |
https://doi.org/10.5370/KIEE.2019.68.11.1440 |
| Keywords |
Intersection angle; Optimization; Shortest connection; Specific point. |
| Abstract |
For a transmission line in electric power grids, the shorter the length of the line is, the smaller the ohmic loss inside the line is.
Shorter line length contributes to lower construction cost in general. Shorter highway length enables faster transportation of goods.
Shorter road length contributes to lower logistical cost in general. This paper presents a derivation to determine the length of a straight line that minimally connects two axes with intersection angle θ via a specific point (p,q) using optimization technique. The authors propose a formula represented by a cube equation w.r.t. the coordinate of the specific point (p,q) and intersection angle θ, through which the minimal length and x-y’ intercepts of the connection line are obtained. Case studies are discussed to check if the solutions derived by the proposed formula are optimal. This paper may be used as an optimization lecture note for students majoring in electrical engineering. |