Pinched hysteresis loops in non‐linear resonators
Abstract This study shows that pinched hysteresis can be observed in simple non‐linear resonance circuits containing a single diode that behaves as a voltage‐controlled switch. Mathematical models are derived and numerically validated for both series and parallel resonator circuits. The lobe area of...
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| Format: | Article |
| Language: | English |
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Wiley
2021-03-01
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| Series: | IET Circuits, Devices and Systems |
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| Online Access: | https://doi.org/10.1049/cds2.12003 |
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| author | Ahmed S. Elwakil Mohammed E. Fouda Sohaib Majzoub Ahmed G. Radwan |
| author_facet | Ahmed S. Elwakil Mohammed E. Fouda Sohaib Majzoub Ahmed G. Radwan |
| author_sort | Ahmed S. Elwakil |
| collection | DOAJ |
| description | Abstract This study shows that pinched hysteresis can be observed in simple non‐linear resonance circuits containing a single diode that behaves as a voltage‐controlled switch. Mathematical models are derived and numerically validated for both series and parallel resonator circuits. The lobe area of the pinched loop is found to increase with increased frequency and multiple pinch points are possible with an odd‐symmetrical non‐linearity such as a cubic non‐linearity. Experiments have been performed to prove the existence of pinched hysteresis with a single diode and with two anti‐parallel diodes. The formation of a pinched loop in these circuits confirms the following: (1) pinched hysteresis is not a fingerprint of memristors, and (2) the existence of a non‐linearity is essential for generating this behaviour. Finally, an application in a digital logic circuit is validated. |
| format | Article |
| id | doaj-art-29bb2e5f328546fd99816de42c260651 |
| institution | Kabale University |
| issn | 1751-858X 1751-8598 |
| language | English |
| publishDate | 2021-03-01 |
| publisher | Wiley |
| record_format | Article |
| series | IET Circuits, Devices and Systems |
| spelling | doaj-art-29bb2e5f328546fd99816de42c2606512025-02-03T06:47:36ZengWileyIET Circuits, Devices and Systems1751-858X1751-85982021-03-01152889310.1049/cds2.12003Pinched hysteresis loops in non‐linear resonatorsAhmed S. Elwakil0Mohammed E. Fouda1Sohaib Majzoub2Ahmed G. Radwan3Department of Electrical and Computer Engineering University of Sharjah Sharjah United Arab EmiratesDepartment of Engineering Mathematics and Physics Cairo University Cairo EgyptDepartment of Electrical and Computer Engineering University of Sharjah Sharjah United Arab EmiratesDepartment of Engineering Mathematics and Physics Cairo University Cairo EgyptAbstract This study shows that pinched hysteresis can be observed in simple non‐linear resonance circuits containing a single diode that behaves as a voltage‐controlled switch. Mathematical models are derived and numerically validated for both series and parallel resonator circuits. The lobe area of the pinched loop is found to increase with increased frequency and multiple pinch points are possible with an odd‐symmetrical non‐linearity such as a cubic non‐linearity. Experiments have been performed to prove the existence of pinched hysteresis with a single diode and with two anti‐parallel diodes. The formation of a pinched loop in these circuits confirms the following: (1) pinched hysteresis is not a fingerprint of memristors, and (2) the existence of a non‐linearity is essential for generating this behaviour. Finally, an application in a digital logic circuit is validated.https://doi.org/10.1049/cds2.12003hysteresislogic circuitsnumerical analysismemristors |
| spellingShingle | Ahmed S. Elwakil Mohammed E. Fouda Sohaib Majzoub Ahmed G. Radwan Pinched hysteresis loops in non‐linear resonators IET Circuits, Devices and Systems hysteresis logic circuits numerical analysis memristors |
| title | Pinched hysteresis loops in non‐linear resonators |
| title_full | Pinched hysteresis loops in non‐linear resonators |
| title_fullStr | Pinched hysteresis loops in non‐linear resonators |
| title_full_unstemmed | Pinched hysteresis loops in non‐linear resonators |
| title_short | Pinched hysteresis loops in non‐linear resonators |
| title_sort | pinched hysteresis loops in non linear resonators |
| topic | hysteresis logic circuits numerical analysis memristors |
| url | https://doi.org/10.1049/cds2.12003 |
| work_keys_str_mv | AT ahmedselwakil pinchedhysteresisloopsinnonlinearresonators AT mohammedefouda pinchedhysteresisloopsinnonlinearresonators AT sohaibmajzoub pinchedhysteresisloopsinnonlinearresonators AT ahmedgradwan pinchedhysteresisloopsinnonlinearresonators |