Beams Document 7879-v2

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The required number of wide bore cavities for PIPII

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Cheng-Yang Tan
Updated by:
Cheng-Yang Tan
Document Created:
18 Dec 2019, 15:19
Contents Revised:
02 Jan 2020, 09:34
Metadata Revised:
02 Jan 2020, 09:34
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18 Dec 2019, 15:19
We want to calculate the required number of wide bore cavities for operating Booster in the PIPII era. In this era, the beam intensity will be 50% higher than in PIP. We will show that the higher beam current will cause Robinson instability unless beam loading compensation is installed. We will show with ESME simulations that when we have perfect beam loading compensation and with space charge turned on, the required cavity voltage to accelerate the beam from injection to
extraction without loss is 1.2 MV. At this voltage, we will show that we will require at least 16 wide bore cavities to be able to operate in the scenario where there is one failed wide bore cavity. In this scenario, we will need to assume that the legacy cavities can operate at 50 kV and the wide bore cavities at 60 kV. IMPORTANT! The 1:2 MV, and 16 cavities quoted here are with caveats that will be discussed in the Introduction.
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