Loop Gain and Impedance Considerations for the LHC RF Cavities

The LHC superconducting cavities will be operated with variable power coupling which changes the loop gain of the fast RF feedback system. Therefore we have established a mathematical formula for the absolute stability limit of such a feedback system with linear delay and cross-checked it numericall...

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Detalles Bibliográficos
Autor principal: Tückmantel, Joachim
Lenguaje:eng
Publicado: 2004
Materias:
Accelerators and Storage Rings
Acceso en línea:http://cds.cern.ch/record/708746
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author Tückmantel, Joachim
author_facet Tückmantel, Joachim
author_sort Tückmantel, Joachim
collection CERN
description The LHC superconducting cavities will be operated with variable power coupling which changes the loop gain of the fast RF feedback system. Therefore we have established a mathematical formula for the absolute stability limit of such a feedback system with linear delay and cross-checked it numerically with a program that assumes only very basic physical relations. Results show that to keep the beam impedance constant we have to ramp the gain G of the amplifier in the loop. Even with this gain change the loop will remain stable.
id cern-708746
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2004
record_format invenio
spelling cern-7087462019-09-30T06:29:59Zhttp://cds.cern.ch/record/708746engTückmantel, JoachimLoop Gain and Impedance Considerations for the LHC RF CavitiesAccelerators and Storage RingsThe LHC superconducting cavities will be operated with variable power coupling which changes the loop gain of the fast RF feedback system. Therefore we have established a mathematical formula for the absolute stability limit of such a feedback system with linear delay and cross-checked it numerically with a program that assumes only very basic physical relations. Results show that to keep the beam impedance constant we have to ramp the gain G of the amplifier in the loop. Even with this gain change the loop will remain stable.AB-Note-2004-010-RFCERN-AB-Note-2004-010-RFoai:cds.cern.ch:7087462004-02-12
spellingShingle Accelerators and Storage Rings
Tückmantel, Joachim
Loop Gain and Impedance Considerations for the LHC RF Cavities
title Loop Gain and Impedance Considerations for the LHC RF Cavities
title_full Loop Gain and Impedance Considerations for the LHC RF Cavities
title_fullStr Loop Gain and Impedance Considerations for the LHC RF Cavities
title_full_unstemmed Loop Gain and Impedance Considerations for the LHC RF Cavities
title_short Loop Gain and Impedance Considerations for the LHC RF Cavities
title_sort loop gain and impedance considerations for the lhc rf cavities
topic Accelerators and Storage Rings
url http://cds.cern.ch/record/708746
work_keys_str_mv AT tuckmanteljoachim loopgainandimpedanceconsiderationsforthelhcrfcavities

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