THE SOLUTION OF THE CABLE EQUATIONS BY MEANS OF FINITE DIFFERENCE TIME DOMAIN METHOD
The analysis and comparison of accuracy of numerical solutions received by Finite Difference Time Domain (FDTD) method and Godunov's method at the solution of the cable equations is carried out. It is demonstrated, that at sudden short circuits and at transition to idling mode in numerical solu...
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| Format: | Article |
| Language: | English |
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Academy of Sciences of Moldova
2010-04-01
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| Series: | Problems of the Regional Energetics |
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| Online Access: | http://journal.ie.asm.md/assets/files/m71_2_124.doc |
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| author | Patsiuk V.I. Ribacova |
| author_facet | Patsiuk V.I. Ribacova |
| author_sort | Patsiuk V.I. |
| collection | DOAJ |
| description | The analysis and comparison of accuracy of numerical solutions received by Finite Difference Time Domain (FDTD) method and Godunov's method at the solution of the cable equations is carried out. It is demonstrated, that at sudden short circuits and at transition to idling mode in numerical solutions received by means of FDTD method for long lines with the distributed parameters appear strong nonphysical oscillations. It is shown, that the settlement scheme offered by authors on the basis of Godunov's method is deprived these lacks and provides high accuracy for the numerical solutions received at the analysis of dynamic modes in long lines, caused by sudden short circuits and line transitions in an idling mode.
Key words: cable equations, finite difference time domain method, Godunov’s scheme. |
| format | Article |
| id | doaj-art-6c0c3a629a8b4e7bace3cda03026a07a |
| institution | DOAJ |
| issn | 1857-0070 |
| language | English |
| publishDate | 2010-04-01 |
| publisher | Academy of Sciences of Moldova |
| record_format | Article |
| series | Problems of the Regional Energetics |
| spelling | doaj-art-6c0c3a629a8b4e7bace3cda03026a07a2025-08-20T03:14:46ZengAcademy of Sciences of MoldovaProblems of the Regional Energetics1857-00702010-04-012010-11(12)1621THE SOLUTION OF THE CABLE EQUATIONS BY MEANS OF FINITE DIFFERENCE TIME DOMAIN METHODPatsiuk V.I.Ribacova The analysis and comparison of accuracy of numerical solutions received by Finite Difference Time Domain (FDTD) method and Godunov's method at the solution of the cable equations is carried out. It is demonstrated, that at sudden short circuits and at transition to idling mode in numerical solutions received by means of FDTD method for long lines with the distributed parameters appear strong nonphysical oscillations. It is shown, that the settlement scheme offered by authors on the basis of Godunov's method is deprived these lacks and provides high accuracy for the numerical solutions received at the analysis of dynamic modes in long lines, caused by sudden short circuits and line transitions in an idling mode. Key words: cable equations, finite difference time domain method, Godunov’s scheme.http://journal.ie.asm.md/assets/files/m71_2_124.doccable equationsafinite difference time domain method |
| spellingShingle | Patsiuk V.I. Ribacova THE SOLUTION OF THE CABLE EQUATIONS BY MEANS OF FINITE DIFFERENCE TIME DOMAIN METHOD Problems of the Regional Energetics cable equations a finite difference time domain method |
| title | THE SOLUTION OF THE CABLE EQUATIONS BY MEANS OF FINITE DIFFERENCE TIME DOMAIN METHOD |
| title_full | THE SOLUTION OF THE CABLE EQUATIONS BY MEANS OF FINITE DIFFERENCE TIME DOMAIN METHOD |
| title_fullStr | THE SOLUTION OF THE CABLE EQUATIONS BY MEANS OF FINITE DIFFERENCE TIME DOMAIN METHOD |
| title_full_unstemmed | THE SOLUTION OF THE CABLE EQUATIONS BY MEANS OF FINITE DIFFERENCE TIME DOMAIN METHOD |
| title_short | THE SOLUTION OF THE CABLE EQUATIONS BY MEANS OF FINITE DIFFERENCE TIME DOMAIN METHOD |
| title_sort | solution of the cable equations by means of finite difference time domain method |
| topic | cable equations a finite difference time domain method |
| url | http://journal.ie.asm.md/assets/files/m71_2_124.doc |
| work_keys_str_mv | AT patsiukvi thesolutionofthecableequationsbymeansoffinitedifferencetimedomainmethod AT ribacova thesolutionofthecableequationsbymeansoffinitedifferencetimedomainmethod AT patsiukvi solutionofthecableequationsbymeansoffinitedifferencetimedomainmethod AT ribacova solutionofthecableequationsbymeansoffinitedifferencetimedomainmethod |