Lumped-Circuits Model of Lossless Transmission Lines and Its Numerical Characteristics
Aiming at the lumped-circuits model of the lossless transmission line in the digital simulation, the article discusses and analyzes the unit step response generation of the lumped-circuits model by comparing the numerical simulation results of the implicit trapezoidal method, the implicit Euler meth...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Frontiers Media S.A.
2021-12-01
|
| Series: | Frontiers in Energy Research |
| Subjects: | |
| Online Access: | https://www.frontiersin.org/articles/10.3389/fenrg.2021.809434/full |
| _version_ | 1798026631556628480 |
|---|---|
| author | Huiyi Zhou Tianlin Lu Shuting Zhang Xin Zhang |
| author_facet | Huiyi Zhou Tianlin Lu Shuting Zhang Xin Zhang |
| author_sort | Huiyi Zhou |
| collection | DOAJ |
| description | Aiming at the lumped-circuits model of the lossless transmission line in the digital simulation, the article discusses and analyzes the unit step response generation of the lumped-circuits model by comparing the numerical simulation results of the implicit trapezoidal method, the implicit Euler method, and a multi-step formula. The root cause of numerical oscillations pointed out that using the L-stable numerical algorithm to indirectly simulate the dynamic response of the lumped-circuits model is a numerical method that does not truly reflect the original model, but it can directly reflect the true dynamic response of the lossless transmission line. In this study, a method for determining the chained number in the digital simulation of a lumped-circuits model is given. The simulation results prove the effectiveness of the method. |
| first_indexed | 2024-04-11T18:39:00Z |
| format | Article |
| id | doaj.art-cb051478d6704a03aa394f6ef7b301a8 |
| institution | Directory Open Access Journal |
| issn | 2296-598X |
| language | English |
| last_indexed | 2024-04-11T18:39:00Z |
| publishDate | 2021-12-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Energy Research |
| spelling | doaj.art-cb051478d6704a03aa394f6ef7b301a82022-12-22T04:09:04ZengFrontiers Media S.A.Frontiers in Energy Research2296-598X2021-12-01910.3389/fenrg.2021.809434809434Lumped-Circuits Model of Lossless Transmission Lines and Its Numerical CharacteristicsHuiyi ZhouTianlin LuShuting ZhangXin ZhangAiming at the lumped-circuits model of the lossless transmission line in the digital simulation, the article discusses and analyzes the unit step response generation of the lumped-circuits model by comparing the numerical simulation results of the implicit trapezoidal method, the implicit Euler method, and a multi-step formula. The root cause of numerical oscillations pointed out that using the L-stable numerical algorithm to indirectly simulate the dynamic response of the lumped-circuits model is a numerical method that does not truly reflect the original model, but it can directly reflect the true dynamic response of the lossless transmission line. In this study, a method for determining the chained number in the digital simulation of a lumped-circuits model is given. The simulation results prove the effectiveness of the method.https://www.frontiersin.org/articles/10.3389/fenrg.2021.809434/fulllumped-circuitsdigital simulationlossless transmission linenumerical methodchained number |
| spellingShingle | Huiyi Zhou Tianlin Lu Shuting Zhang Xin Zhang Lumped-Circuits Model of Lossless Transmission Lines and Its Numerical Characteristics Frontiers in Energy Research lumped-circuits digital simulation lossless transmission line numerical method chained number |
| title | Lumped-Circuits Model of Lossless Transmission Lines and Its Numerical Characteristics |
| title_full | Lumped-Circuits Model of Lossless Transmission Lines and Its Numerical Characteristics |
| title_fullStr | Lumped-Circuits Model of Lossless Transmission Lines and Its Numerical Characteristics |
| title_full_unstemmed | Lumped-Circuits Model of Lossless Transmission Lines and Its Numerical Characteristics |
| title_short | Lumped-Circuits Model of Lossless Transmission Lines and Its Numerical Characteristics |
| title_sort | lumped circuits model of lossless transmission lines and its numerical characteristics |
| topic | lumped-circuits digital simulation lossless transmission line numerical method chained number |
| url | https://www.frontiersin.org/articles/10.3389/fenrg.2021.809434/full |
| work_keys_str_mv | AT huiyizhou lumpedcircuitsmodeloflosslesstransmissionlinesanditsnumericalcharacteristics AT tianlinlu lumpedcircuitsmodeloflosslesstransmissionlinesanditsnumericalcharacteristics AT shutingzhang lumpedcircuitsmodeloflosslesstransmissionlinesanditsnumericalcharacteristics AT xinzhang lumpedcircuitsmodeloflosslesstransmissionlinesanditsnumericalcharacteristics |