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| Content Provider | IET Digital Library |
|---|---|
| Author | Mamiş, Mehmet Salih |
| Abstract | The characteristic impedance of a transmission line, a wire or a conductor changes in a non-uniform manner if the distance to the ground at all points longitudinally is not the same. Vertical conductors, transmission towers and sagging overhead lines are examples for the non-uniform lines. In this study, lumped-parameter-based state variable representation of the single-phase non-uniform line is described. From the lumped-parameter non-uniform line model a linear set of first-order differential equations is obtained in the form of state equations and this analytical expression is solved in closed form using MATLAB to obtain the transient response directly in the time domain. The closed-form solution has the advantage of obtaining the response of the system at an instant without the need for data in the previous states except for the initial conditions. The method also allows attaining the voltage and current profile of the system for any instant. In the illustrative cases presented, the systems with different surge impedance variations are considered and the surge response of a vertical conductor, an exponential line, and a horizontal cone and a vertical cone with constant and also varying propagation velocity are computed. The results are verified by those obtained using s-domain simulations of distributed-parameter transmission line and inverse Laplace transform. |
| Starting Page | 5626 |
| Ending Page | 5633 |
| Page Count | 8 |
| ISSN | 17518687 |
| Volume Number | 14 |
| e-ISSN | 17518695 |
| Issue Number | Issue 23, Dec (2020) |
| Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/iet-gtd/14/23 |
| Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/10.1049/iet-gtd.2020.0454 |
| Journal | IET Generation, Transmission & Distribution |
| Publisher Date | 2020-09-16 |
| Access Restriction | Open |
| Rights Holder | © The Institution of Engineering and Technology |
| Subject Keyword | Characteristic Impedance Closed-form Solution Connector Differential Equation (numerical Analysis) Distributed-parameter Transmission Line Electromagnetic Transients Simulation EMTP Exponential Line First-order Differential Equation Horizontal Cone Insulator Integral Transforms in Numerical Analysis Inverse Laplace Transform Laplace Transforms Lumped Parameter Network Lumped-parameter Nonuniform Line Model Mathematical Analysis MATLAB Nonuniform Single-phase Line Overhead Power Line Poles And Towers Power Engineering Computing Power Line Supports Power Overhead Line Power Transmission Line Propagation Velocity S-domain Simulations Sagging Overhead Line Single-phase Nonuniform Line State Equation State Variable Method State Variable Representation Surge Impedance Variations Time Domain Analysis Transient Response Transmission Towers Vertical Conductor Vertical Cone |
| Content Type | Text |
| Resource Type | Article |
| Subject | Control and Systems Engineering Energy Engineering and Power Technology Electrical and Electronic Engineering |
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