A Didactic Procedure to Solve the Equation of Steady-Static Response in Suspended Cables
Students in the electrical branch of the short-cycle tertiary education program acquire developmental and design skills for low voltage transmission power lines. Aerial power line design requires mathematical tools not covered well enough in the curricula. Designing suspension cables requires the us...
| Main Authors: | , , , |
|---|---|
| Format: | info:eu-repo/semantics/article |
| Language: | English |
| Published: |
MDPI
2020
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/10835/8402 |
| _version_ | 1789406544404676608 |
|---|---|
| author | Agüero Rubio, José López Martínez, Javier Gómez Galán, Marta Callejón Ferre, Ángel Jesús |
| author_facet | Agüero Rubio, José López Martínez, Javier Gómez Galán, Marta Callejón Ferre, Ángel Jesús |
| author_sort | Agüero Rubio, José |
| collection | DSpace |
| description | Students in the electrical branch of the short-cycle tertiary education program acquire developmental and design skills for low voltage transmission power lines. Aerial power line design requires mathematical tools not covered well enough in the curricula. Designing suspension cables requires the use of a Taylor series and integral calculation to obtain the parabola’s arc length. Moreover, it requires iterative procedures, such as the Newton–Raphson method, to solve the third-order equation of the steady-static response. The aim of this work is to solve the steady-static response equation for suspended cables using simple calculation tools. For this purpose, the influence of the horizontal component of the cable tension on its curvature was decoupled from the cable’s self-weight, which was responsible for the tension’s vertical component. To this end, we analyzed the laying and operation of the suspended cables by defining three phases (i.e., stressing, lifting, and operation). The phenomena that occurred in each phase were analyzed, as was their manifestation in the cable model. Herein, we developed and validated the solution of the steady-static response equation in suspended cables using simple equations supported with intuitive graphics. The best results of the proposed calculation procedure were obtained in conditions of large temperature variations. |
| format | info:eu-repo/semantics/article |
| id | oai:repositorio.ual.es:10835-8402 |
| institution | Universidad de Cuenca |
| language | English |
| publishDate | 2020 |
| publisher | MDPI |
| record_format | dspace |
| spelling | oai:repositorio.ual.es:10835-84022023-11-15T14:52:58Z A Didactic Procedure to Solve the Equation of Steady-Static Response in Suspended Cables Agüero Rubio, José López Martínez, Javier Gómez Galán, Marta Callejón Ferre, Ángel Jesús power transmission lines suspended cables reduced-order models problem-based learning mathematical modeling high-temperature and low-sag conductors (HTLS conductors) Students in the electrical branch of the short-cycle tertiary education program acquire developmental and design skills for low voltage transmission power lines. Aerial power line design requires mathematical tools not covered well enough in the curricula. Designing suspension cables requires the use of a Taylor series and integral calculation to obtain the parabola’s arc length. Moreover, it requires iterative procedures, such as the Newton–Raphson method, to solve the third-order equation of the steady-static response. The aim of this work is to solve the steady-static response equation for suspended cables using simple calculation tools. For this purpose, the influence of the horizontal component of the cable tension on its curvature was decoupled from the cable’s self-weight, which was responsible for the tension’s vertical component. To this end, we analyzed the laying and operation of the suspended cables by defining three phases (i.e., stressing, lifting, and operation). The phenomena that occurred in each phase were analyzed, as was their manifestation in the cable model. Herein, we developed and validated the solution of the steady-static response equation in suspended cables using simple equations supported with intuitive graphics. The best results of the proposed calculation procedure were obtained in conditions of large temperature variations. 2020-09-02T10:39:49Z 2020-09-02T10:39:49Z 2020-09-01 info:eu-repo/semantics/article 2227-7390 http://hdl.handle.net/10835/8402 en https://www.mdpi.com/2227-7390/8/9/1468 Attribution-NonCommercial-NoDerivatives 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess MDPI |
| spellingShingle | power transmission lines suspended cables reduced-order models problem-based learning mathematical modeling high-temperature and low-sag conductors (HTLS conductors) Agüero Rubio, José López Martínez, Javier Gómez Galán, Marta Callejón Ferre, Ángel Jesús A Didactic Procedure to Solve the Equation of Steady-Static Response in Suspended Cables |
| title | A Didactic Procedure to Solve the Equation of Steady-Static Response in Suspended Cables |
| title_full | A Didactic Procedure to Solve the Equation of Steady-Static Response in Suspended Cables |
| title_fullStr | A Didactic Procedure to Solve the Equation of Steady-Static Response in Suspended Cables |
| title_full_unstemmed | A Didactic Procedure to Solve the Equation of Steady-Static Response in Suspended Cables |
| title_short | A Didactic Procedure to Solve the Equation of Steady-Static Response in Suspended Cables |
| title_sort | didactic procedure to solve the equation of steady-static response in suspended cables |
| topic | power transmission lines suspended cables reduced-order models problem-based learning mathematical modeling high-temperature and low-sag conductors (HTLS conductors) |
| url | http://hdl.handle.net/10835/8402 |
| work_keys_str_mv | AT aguerorubiojose adidacticproceduretosolvetheequationofsteadystaticresponseinsuspendedcables AT lopezmartinezjavier adidacticproceduretosolvetheequationofsteadystaticresponseinsuspendedcables AT gomezgalanmarta adidacticproceduretosolvetheequationofsteadystaticresponseinsuspendedcables AT callejonferreangeljesus adidacticproceduretosolvetheequationofsteadystaticresponseinsuspendedcables AT aguerorubiojose didacticproceduretosolvetheequationofsteadystaticresponseinsuspendedcables AT lopezmartinezjavier didacticproceduretosolvetheequationofsteadystaticresponseinsuspendedcables AT gomezgalanmarta didacticproceduretosolvetheequationofsteadystaticresponseinsuspendedcables AT callejonferreangeljesus didacticproceduretosolvetheequationofsteadystaticresponseinsuspendedcables |