The Japan Proton Accelerator Research Complex (J-PARC) is
one of the highest intensity proton accelerator facilities in the
world. Its accelerator consists of a 400-MeV linac (LINAC), a 3-GeV
rapid-cycling synchrotron (RCS), and a 30-GeV main ring (MR) and its
beam is provided for wide-ranging applications. The peak current of
the beam at LINAC had been increased from 30 mA to the design value
of 50 mA in 2018. Therefore, the performance of the beam-loading
compensation implementing in the low-level radio frequency (LLRF)
system has been more important to satisfy the stability of the
accelerating gradient. Although the iterative learning control
(ILC) scheme with adaptive ability was demonstrated, the practical
use of ILC was not convenient for large accelerators such as the
J-PARC LINAC with forty-nine RF stations. Therefore, we developed
at novel and superior adaptive beam-loading compensation system that
was calculated in the frequency domain. Compared to the scheme of
the previous ILC, the newly developed system is useful because it
does not require parameter adjustment using the beam. In the
experimental results utilizing this system, the optimum tables of
FF_BEAM were able to be obtained as a smaller number of iterations.
The peak-to-peak stability of amplitude was achieved to ± 0.23%
and the peak-to-peak stability of phase was improved to
± 0.036°. In addition, errors such as white noise
did not accumulate for the table of FF_BEAM and this system solved
the problem of the divergence when the number of iterations was
increased. This implementation of the adaptive beam-loading
compensation system calculated in the frequency domain will
potentially contribute to the improvement of the J-PARC LINAC LLRF,
and this system may lead to a stable user operation. This system is
so simple in principle and effective that it could be applied to
other linear accelerators with the pulsed beam.