Influence of frequency on the synchronous electrical machine parameters
The current and moment of resistance to rotation of the inductive synchronous electric machine under inductive load have been considered. For a synchronous machine with an inductive load, Theorem 1 is valid: the current amplitude in the inductive load of an inductive synchronous electric machine is independent of the rotational speed. The theorem has been proved by equating the second Kirchhoff law and the law of electromagnetic induction with reference to a rotating machine. Theorem 2 is also valid: the moment of resistance to rotation for an inductive synchronous electric machine with an inductive load is independent of the rotational speed. The theorem has been proved by analyzing the Ampere law with respect to a rotating machine. It has been established, with active load, the current amplitude and the moment of resistance to rotation depend linearly on the rotational speed. However, with capacitive load, these parameters are quadratically dependent on the rotational speed. The connection of power with frequency under various types of machine load has been proven: for inductive load, the reactive electric power is linearly dependent on frequency; for resistive load, the dependence is quadratic; at the same time, for capacitive load, the power is cubic dependent on frequency. For a synchronous capacitive machine with capacitive load, Theorem 3 and 4 are considered to be valid. Theorem 3: the voltage amplitude on capacitive load of a capacitive synchronous electric machine does not depend on the rotational speed. Theorem 4: the amplitude of the resistance to rotation moment for a capacitive synchronous electric machine with capacitive load does not depend on the rotational speed. The results are recommended to use when designing electrical systems.
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| Format: | Journal Contribution biblioteca |
| Language: | Russian |
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2018
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| Subjects: | Synchronous machine, Inductive load, Current, Torque, Amplitude, Синхронная машина, Индуктивная нагрузка, Ток, Момент, Амплитуда, |
| Online Access: | http://hdl.handle.net/1834/15288 |
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dig-aquadocs-1834-152882021-05-19T06:59:10Z Influence of frequency on the synchronous electrical machine parameters Влияние частоты на параметры синхронной электрической машины Popov, I. P. Synchronous machine Inductive load Current Torque Amplitude Синхронная машина Индуктивная нагрузка Ток Момент Амплитуда The current and moment of resistance to rotation of the inductive synchronous electric machine under inductive load have been considered. For a synchronous machine with an inductive load, Theorem 1 is valid: the current amplitude in the inductive load of an inductive synchronous electric machine is independent of the rotational speed. The theorem has been proved by equating the second Kirchhoff law and the law of electromagnetic induction with reference to a rotating machine. Theorem 2 is also valid: the moment of resistance to rotation for an inductive synchronous electric machine with an inductive load is independent of the rotational speed. The theorem has been proved by analyzing the Ampere law with respect to a rotating machine. It has been established, with active load, the current amplitude and the moment of resistance to rotation depend linearly on the rotational speed. However, with capacitive load, these parameters are quadratically dependent on the rotational speed. The connection of power with frequency under various types of machine load has been proven: for inductive load, the reactive electric power is linearly dependent on frequency; for resistive load, the dependence is quadratic; at the same time, for capacitive load, the power is cubic dependent on frequency. For a synchronous capacitive machine with capacitive load, Theorem 3 and 4 are considered to be valid. Theorem 3: the voltage amplitude on capacitive load of a capacitive synchronous electric machine does not depend on the rotational speed. Theorem 4: the amplitude of the resistance to rotation moment for a capacitive synchronous electric machine with capacitive load does not depend on the rotational speed. The results are recommended to use when designing electrical systems. Рассматриваются ток и момент сопротивления вращению индуктивной синхронной электрической машины при индуктивной нагрузке. Для синхронной машины с индуктивной нагрузкой справедлива теорема 1: амплитуда тока при индуктивной нагрузке синхронной электрической машины не зависит от частоты вращения. Теорему можно доказать с помощью второго закона Кирхгофа и закона электромагнитной индукции применительно к вращающей машине. Также справедлива теорема 2: амплитуда момента сопротивления вращению для синхронной электрической машины с индуктивной нагрузкой не зависит от частоты вращения. Теорема доказывается посредством анализа закона Ампера применительно к вращающей машине. Установлено, что при активной нагрузке амплитуды тока и момента сопротивления вращению линейно зависят от частоты вращения машины, вместе с тем при емкостной нагрузке эти параметры квадратично зависят от частоты вращения. Установлена связь мощности с частотой при различных видах нагрузки машины: для индуктивной нагрузки реактивная электрическая мощность линейно зависит от частоты; для резистивной нагрузки зависимость – квадратичная; в то же время для емкостной нагрузки мощность кубично зависит от частоты. Для синхронной емкостной машины с емкостной нагрузкой справедливы теоремы 3 и 4. Теорема 3: амплитуда напряжения на емкостной нагрузке емкостной синхронной электрической машины не зависит от частоты вращения. Теорема 4: амплитуда момента сопротивления вращению для емкостной синхронной электрической машины с емкостной нагрузкой не зависит от частоты вращения. Полученные результаты рекомендуется использовать при проектировании электрических систем. Published 2019-06-18T13:25:35Z 2019-06-18T13:25:35Z 2018 Journal Contribution Refereed 1560-9278 DOI: 10.21443/1560-9278-2018-21-4-625-631 http://hdl.handle.net/1834/15288 ru http://vestnik.mstu.edu.ru/show.shtml?art=1987 pp.625-631 |
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| region |
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| language |
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| topic |
Synchronous machine Inductive load Current Torque Amplitude Синхронная машина Индуктивная нагрузка Ток Момент Амплитуда Synchronous machine Inductive load Current Torque Amplitude Синхронная машина Индуктивная нагрузка Ток Момент Амплитуда |
| spellingShingle |
Synchronous machine Inductive load Current Torque Amplitude Синхронная машина Индуктивная нагрузка Ток Момент Амплитуда Synchronous machine Inductive load Current Torque Amplitude Синхронная машина Индуктивная нагрузка Ток Момент Амплитуда Popov, I. P. Influence of frequency on the synchronous electrical machine parameters |
| description |
The current and moment of resistance to rotation of the inductive synchronous electric machine under inductive load have been considered. For a synchronous machine with an inductive load, Theorem 1 is valid: the current amplitude in the inductive load of an inductive synchronous electric machine is independent of the rotational speed. The theorem has been proved by equating the second Kirchhoff law and the law of electromagnetic induction with reference to a rotating machine. Theorem 2 is also valid: the moment of resistance to rotation for an inductive synchronous electric machine with an inductive load is independent of the rotational speed. The theorem has been proved by analyzing the Ampere law with respect to a rotating machine. It has been established, with active load, the current amplitude and the moment of resistance to rotation depend linearly on the rotational speed. However, with capacitive load, these parameters are quadratically dependent on the rotational speed. The connection of power with frequency under various types of machine load has been proven: for inductive load, the reactive electric power is linearly dependent on frequency; for resistive load, the dependence is quadratic; at the same time, for capacitive load, the power is cubic dependent on frequency. For a synchronous capacitive machine with capacitive load, Theorem 3 and 4 are considered to be valid. Theorem 3: the voltage amplitude on capacitive load of a capacitive synchronous electric machine does not depend on the rotational speed. Theorem 4: the amplitude of the resistance to rotation moment for a capacitive synchronous electric machine with capacitive load does not depend on the rotational speed. The results are recommended to use when designing electrical systems. |
| format |
Journal Contribution |
| topic_facet |
Synchronous machine Inductive load Current Torque Amplitude Синхронная машина Индуктивная нагрузка Ток Момент Амплитуда |
| author |
Popov, I. P. |
| author_facet |
Popov, I. P. |
| author_sort |
Popov, I. P. |
| title |
Influence of frequency on the synchronous electrical machine parameters |
| title_short |
Influence of frequency on the synchronous electrical machine parameters |
| title_full |
Influence of frequency on the synchronous electrical machine parameters |
| title_fullStr |
Influence of frequency on the synchronous electrical machine parameters |
| title_full_unstemmed |
Influence of frequency on the synchronous electrical machine parameters |
| title_sort |
influence of frequency on the synchronous electrical machine parameters |
| publishDate |
2018 |
| url |
http://hdl.handle.net/1834/15288 |
| work_keys_str_mv |
AT popovip influenceoffrequencyonthesynchronouselectricalmachineparameters AT popovip vliâniečastotynaparametrysinhronnojélektričeskojmašiny |
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