SOLEIL II optimize RoQ/Q0
Code to optimize RoQ/Q0 for a given beam current.
Is similar to Fig.7 in [1] (lower resolution and using Venturini solver to be faster).
[1] Gamelin, A., Gubaidulin, V., Alves, M. B., & Olsson, T. (2024). Semi-analytical algorithms to study longitudinal beam instabilities in double rf systems. arXiv preprint arXiv:2412.06539.
Imports
import numpy as np
import matplotlib.pyplot as plt
from mbtrack2 import CavityResonator
from albums import scan_RoQ_Q0
from albums import SystemState
from albums import EquilibriumOptions, OptimiserOptions
from albums import DEFAULT_FLOWS
Ring and cavity setup
from mbtrack2 import Synchrotron, Electron
from mbtrack2 import Optics
def SOLEIL_II(V_RF=1.7e6):
"""
SOLEIL II lattice v2366 w/ RF parameters from November 2023 RF budget.
Parameters
----------
V_RF : float, optional
Total RF voltage in [V].
The default is 1.7e6.
Returns
-------
ring : Synchrotron object
TDR lattice v2366_v3.
"""
L = 353.97
E0 = 2.75e9
particle = Electron()
ac = 1.05751e-04
tune = np.array([54.2, 18.3])
chro = np.array([1.6, 1.6])
beta = np.array([3.288, 4.003])
alpha = np.array([0, 0])
dispersion = np.array([0, 0, 0, 0])
h = 416
particle = Electron()
mcf_order = np.array([-0.00192226, 0.00061511, 0.00010695])
U0 = 469e3
tau = np.array([7.64e-3, 13.83e-3, 11.64e-3])
sigma_delta = 9.063e-4
emit = np.array([83.7e-12, 83.7e-12*0.01])
optics = Optics(local_beta=beta, local_alpha=alpha,
local_dispersion=dispersion)
ring = Synchrotron(h, optics, particle, L=L, E0=E0, ac=ac, U0=U0, tau=tau,
emit=emit, tune=tune, sigma_delta=sigma_delta, chro=chro,
mcf_order=mcf_order)
tuneS = ring.synchrotron_tune(V_RF)
ring.sigma_0 = (ring.sigma_delta * np.abs(ring.eta())
/ (tuneS * 2 * np.pi * ring. f0))
ring.get_longitudinal_twiss(V_RF)
return ring
ring = SOLEIL_II(V_RF=1.7e6)
MC = CavityResonator(ring, m=1, Rs=5e6, Q=35.7e3, QL=6e3, detune=1e6, Ncav=4)
MC.Vc = 1.7e6
MC.theta = np.arccos(ring.U0/MC.Vc)
HC = CavityResonator(ring, m=4, Rs=2.358e6, Q=31e3, QL=31e3, detune=1e6, Ncav=1)
Optimize scan RoQ/Q0
bounds = [20, 90] # Min/Max values for psi_HC
psi0_HC = 85 # Initial guess for psi_HC
I0 = 0.5 # Beam current, A
Q0_vals = np.linspace(10e3, 50e3, 21)
RoQ_vals = np.linspace(30, 90, 21)
eq_opts = EquilibriumOptions(I0=I0,
tau_boundary=None,
set_MC_phase_HCpassive=True) # set the MC phase to cancel the HC losses
opti_opts = OptimiserOptions(auto_psi_input=True, # use xi_init_input instead of psi0_HC
xi_init_input=0.8, # init guess for stable xi
loop_option=True) # check the result of each optimization point
result = scan_RoQ_Q0(
SystemState(ring, [MC, HC]),
Q0_vals,
RoQ_vals,
flow=DEFAULT_FLOWS["Venturini"], # much faster for a notebook, set to DEFAULT_FLOWS["Alves"] to get the same as in the paper
eq_opts=eq_opts,
psi0_HC=psi0_HC,
bounds=bounds,
opti_opts=opti_opts)
result.plot("Touschek") # optimised Touschek-ratio map
result.after_opti.plot("Touschek") # instability map just inside the optimum
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/home/gamelina/Python_dev/albums/albums/plot_func.py:380: UserWarning: No artists with labels found to put in legend. Note that artists whose label start with an underscore are ignored when legend() is called with no argument.
ax.legend(loc="lower right")
