THE USEFUL CONSEQUENCE OF THE TELLEGEN'S THEOREM
In this work we have shown that the quality of differences pseudomodest on the input and output of the passive circuit is a consequence of the Tellegen's theorem for the two modes of the passive chain. We proposed measure which characterizes presence of measurement errors of input and output op...
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| Format: | Article |
| Language: | Russian |
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North Caucasus Federal University
2022-05-01
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| Series: | Вестник Северо-Кавказского федерального университета |
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| Online Access: | https://vestnikskfu.elpub.ru/jour/article/view/2189 |
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| _version_ | 1849698109576183808 |
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| author | Aleksandr Stepanov Sergey Stepanov |
| author_facet | Aleksandr Stepanov Sergey Stepanov |
| author_sort | Aleksandr Stepanov |
| collection | DOAJ |
| description | In this work we have shown that the quality of differences pseudomodest on the input and output of the passive circuit is a consequence of the Tellegen's theorem for the two modes of the passive chain. We proposed measure which characterizes presence of measurement errors of input and output operating parameters of the circuit, and we indicated by its linear relationship with the error of the identification results of the circuit parameters according to the measurement of regime parameters on the input and output. We given the equations of communication of this measure with an accuracy of identiication of the circuit parameters. The use of this measure and equations of its connection with the identiication error can be useful for solving the tasks of detection of measurement error and of synthesis of the elements' models of electric networks. |
| format | Article |
| id | doaj-art-424ef3e4fc514b2685681bef2d90be03 |
| institution | DOAJ |
| issn | 2307-907X |
| language | Russian |
| publishDate | 2022-05-01 |
| publisher | North Caucasus Federal University |
| record_format | Article |
| series | Вестник Северо-Кавказского федерального университета |
| spelling | doaj-art-424ef3e4fc514b2685681bef2d90be032025-08-20T03:19:00ZrusNorth Caucasus Federal UniversityВестник Северо-Кавказского федерального университета2307-907X2022-05-010524292187THE USEFUL CONSEQUENCE OF THE TELLEGEN'S THEOREMAleksandr Stepanov0Sergey Stepanov1North Caucasus Federal UniversityNorth Caucasus RDMIn this work we have shown that the quality of differences pseudomodest on the input and output of the passive circuit is a consequence of the Tellegen's theorem for the two modes of the passive chain. We proposed measure which characterizes presence of measurement errors of input and output operating parameters of the circuit, and we indicated by its linear relationship with the error of the identification results of the circuit parameters according to the measurement of regime parameters on the input and output. We given the equations of communication of this measure with an accuracy of identiication of the circuit parameters. The use of this measure and equations of its connection with the identiication error can be useful for solving the tasks of detection of measurement error and of synthesis of the elements' models of electric networks.https://vestnikskfu.elpub.ru/jour/article/view/2189электрическая цепьпогрешностьсопротивлениеelectric circuitan errorresistance |
| spellingShingle | Aleksandr Stepanov Sergey Stepanov THE USEFUL CONSEQUENCE OF THE TELLEGEN'S THEOREM Вестник Северо-Кавказского федерального университета электрическая цепь погрешность сопротивление electric circuit an error resistance |
| title | THE USEFUL CONSEQUENCE OF THE TELLEGEN'S THEOREM |
| title_full | THE USEFUL CONSEQUENCE OF THE TELLEGEN'S THEOREM |
| title_fullStr | THE USEFUL CONSEQUENCE OF THE TELLEGEN'S THEOREM |
| title_full_unstemmed | THE USEFUL CONSEQUENCE OF THE TELLEGEN'S THEOREM |
| title_short | THE USEFUL CONSEQUENCE OF THE TELLEGEN'S THEOREM |
| title_sort | useful consequence of the tellegen s theorem |
| topic | электрическая цепь погрешность сопротивление electric circuit an error resistance |
| url | https://vestnikskfu.elpub.ru/jour/article/view/2189 |
| work_keys_str_mv | AT aleksandrstepanov theusefulconsequenceofthetellegenstheorem AT sergeystepanov theusefulconsequenceofthetellegenstheorem AT aleksandrstepanov usefulconsequenceofthetellegenstheorem AT sergeystepanov usefulconsequenceofthetellegenstheorem |