def run_simple(self): self.ring = Ring(self.C, self.alpha_0, self.Ek, Proton(), self.N_t, synchronous_data_type='kinetic energy', alpha_1=None, alpha_2=None) self.beam = Beam(self.ring, self.N_p, self.N_b) self.rf = RFStation(self.ring, 1, 0, np.pi) original_distribution_dt = np.zeros(self.beam.n_macroparticles) original_distribution_dE = np.linspace( -0.1*self.beam.energy, 0.1*self.beam.energy, self.beam.n_macroparticles) self.beam.dt[:] = np.array(original_distribution_dt) self.beam.dE[:] = np.array(original_distribution_dE) self.long_tracker = RingAndRFTracker( self.rf, self.beam, solver='simple') for i in range(self.ring.n_turns): self.long_tracker.track() original_distribution_dt += self.ring.n_turns * linear_drift( original_distribution_dE, self.ring.eta_0[0, 0], self.ring.beta[0, 0], self.ring.energy[0, 0], self.ring.t_rev[0]) return self.beam.dt, original_distribution_dt, original_distribution_dE
def setUp(self): self.general_params = Ring(np.ones(self.n_sections) * self.C/self.n_sections, np.tile(self.momentum_compaction, (1, self.n_sections)).T, np.tile(self.sync_momentum, (self.n_sections, self.n_turns+1)), self.particle_type, self.n_turns, n_sections=self.n_sections) self.RF_sct_par = [] self.RF_sct_par_cpp = [] for i in np.arange(self.n_sections)+1: self.RF_sct_par.append(RFStation(self.general_params, [self.harmonic_numbers], [ self.voltage_program/self.n_sections], [self.phi_offset], self.n_rf_systems, section_index=i)) self.RF_sct_par_cpp.append(RFStation(self.general_params, [self.harmonic_numbers], [ self.voltage_program/self.n_sections], [self.phi_offset], self.n_rf_systems, section_index=i)) # DEFINE BEAM------------------------------------------------------------------ self.beam = Beam(self.general_params, self.n_macroparticles, self.n_particles) self.beam_cpp = Beam(self.general_params, self.n_macroparticles, self.n_particles) # DEFINE SLICES---------------------------------------------------------------- number_slices = 500 cut_options = CutOptions( cut_left=0., cut_right=self.bucket_length, n_slices=number_slices) self.slice_beam = Profile(self.beam, CutOptions=cut_options) self.slice_beam_cpp = Profile(self.beam_cpp, CutOptions=cut_options) # DEFINE TRACKER--------------------------------------------------------------- self.longitudinal_tracker = [] self.longitudinal_tracker_cpp = [] for i in range(self.n_sections): self.longitudinal_tracker.append(RingAndRFTracker( self.RF_sct_par[i], self.beam, Profile=self.slice_beam)) self.longitudinal_tracker_cpp.append(RingAndRFTracker( self.RF_sct_par_cpp[i], self.beam_cpp, Profile=self.slice_beam_cpp)) full_tracker = FullRingAndRF(self.longitudinal_tracker) full_tracker_cpp = FullRingAndRF(self.longitudinal_tracker_cpp) # BEAM GENERATION-------------------------------------------------------------- matched_from_distribution_function(self.beam, full_tracker, emittance=self.emittance, distribution_type=self.distribution_type, distribution_variable=self.distribution_variable, seed=1000) matched_from_distribution_function(self.beam_cpp, full_tracker_cpp, emittance=self.emittance, distribution_type=self.distribution_type, distribution_variable=self.distribution_variable, seed=1000) self.slice_beam.track() self.slice_beam_cpp.track()
class TestRfVoltageCalc(unittest.TestCase): # Simulation parameters ------------------------------------------------------- # Bunch parameters N_b = 1e9 # Intensity N_p = 50000 # Macro-particles tau_0 = 0.4e-9 # Initial bunch length, 4 sigma [s] # Machine and RF parameters C = 26658.883 # Machine circumference [m] p_i = 450e9 # Synchronous momentum [eV/c] p_f = 460.005e9 # Synchronous momentum, final h = 35640 # Harmonic number V = 6e6 # RF voltage [V] dphi = 0 # Phase modulation/offset gamma_t = 55.759505 # Transition gamma alpha = 1./gamma_t/gamma_t # First order mom. comp. factor # Tracking details N_t = 2000 # Number of turns to track # Run before every test def setUp(self): self.ring = Ring(self.C, self.alpha, np.linspace( self.p_i, self.p_f, self.N_t + 1), Proton(), self.N_t) self.beam = Beam(self.ring, self.N_p, self.N_b) self.rf = RFStation( self.ring, [self.h], self.V * np.linspace(1, 1.1, self.N_t+1), [self.dphi]) bigaussian(self.ring, self.rf, self.beam, self.tau_0/4, reinsertion=True, seed=1) self.profile = Profile(self.beam, CutOptions(n_slices=100, cut_left=0, cut_right=self.rf.t_rf[0, 0]), FitOptions(fit_option='gaussian')) self.long_tracker = RingAndRFTracker( self.rf, self.beam, Profile=self.profile) # Run after every test def tearDown(self): pass def test_rf_voltage_calc_1(self): self.long_tracker.rf_voltage_calculation() orig_rf_voltage = orig_rf_volt_comp(self.long_tracker) np.testing.assert_almost_equal( self.long_tracker.rf_voltage, orig_rf_voltage, decimal=8) def test_rf_voltage_calc_2(self): for i in range(100): self.long_tracker.rf_voltage_calculation() orig_rf_voltage = orig_rf_volt_comp(self.long_tracker) np.testing.assert_almost_equal( self.long_tracker.rf_voltage, orig_rf_voltage, decimal=8) def test_rf_voltage_calc_3(self): for i in range(100): self.profile.track() self.long_tracker.track() self.long_tracker.rf_voltage_calculation() orig_rf_voltage = orig_rf_volt_comp(self.long_tracker) np.testing.assert_almost_equal( self.long_tracker.rf_voltage, orig_rf_voltage, decimal=8)
def test_losses_energy_cut(self): longitudinal_tracker = RingAndRFTracker(self.rf_params, self.beam) full_tracker = FullRingAndRF([longitudinal_tracker]) try: matched_from_distribution_function(self.beam, full_tracker, distribution_exponent=1.5, distribution_type='binomial', bunch_length=1.65e-9, bunch_length_fit='fwhm', distribution_variable='Hamiltonian') except TypeError as te: self.skipTest("Skipped because of known bug in deepcopy. Exception message %s" % str(te)) self.beam.losses_energy_cut(-3e8, 3e8) self.assertEqual(len(self.beam.id[self.beam.id == 0]), 0, msg='Beam: Failed losses_energy_cut, first') self.beam.dE += 10e8 self.beam.losses_energy_cut(-3e8, 3e8) self.assertEqual(len(self.beam.id[self.beam.id == 0]), self.beam.n_macroparticles, msg='Beam: Failed losses_energy_cut, second')
def setUp(self): initial_time = 0 final_time = 1E-3 # Machine and RF parameters radius = 25 gamma_transition = 4.4 # [1] C = 2 * np.pi * radius # [m] momentum_compaction = 1 / gamma_transition**2 # [1] particle_type = 'proton' self.ring = Ring(C, momentum_compaction, \ ([0, 1E-3], [3.13E8, 3.13E8]), Proton()) self.rf_params = RFStation(self.ring, [1], [1E3], [np.pi], 1) self.beam = Beam(self.ring, 1, 0) self.profile = Profile(self.beam) self.long_tracker = RingAndRFTracker(self.rf_params, self.beam) self.full_ring = FullRingAndRF([self.long_tracker]) self.n_turns = self.ring.n_turns self.map_ = [self.full_ring.track, self.profile.track] self.trackIt = TrackIteration(self.map_)
def test_exact_order1and2_vs_expectation(self): self.ring = Ring(self.C, self.alpha_0, self.Ek, Proton(), self.N_t, synchronous_data_type='kinetic energy', alpha_1=self.alpha_1, alpha_2=self.alpha_2) self.beam = Beam(self.ring, self.N_p, self.N_b) self.rf = RFStation(self.ring, 1, 0, np.pi) original_distribution_dt = np.zeros(self.beam.n_macroparticles) original_distribution_dE = np.linspace(-0.1 * self.beam.energy, 0.1 * self.beam.energy, self.beam.n_macroparticles) self.beam.dt[:] = np.array(original_distribution_dt) self.beam.dE[:] = np.array(original_distribution_dE) self.long_tracker = RingAndRFTracker(self.rf, self.beam, solver='exact') # Forcing usage of legacy self.long_tracker.solver = 'exact' self.long_tracker.solver = self.long_tracker.solver.encode( encoding='utf_8') for i in range(self.ring.n_turns): self.long_tracker.track() original_distribution_dt += self.ring.n_turns * expected_drift( original_distribution_dE, self.ring.alpha_0[0, 0], self.ring.alpha_1[0, 0], self.ring.alpha_2[0, 0], self.ring.energy[0, 0], self.ring.t_rev[0], self.ring.ring_circumference, self.ring.Particle.mass) np.testing.assert_allclose(self.beam.dt, original_distribution_dt, rtol=relative_tolerance, atol=absolute_tolerance)
def setUp(self): self.ring = Ring(self.C, self.alpha, np.linspace(self.p_i, self.p_f, self.N_t + 1), Proton(), self.N_t) self.beam = Beam(self.ring, self.N_p, self.N_b) self.rf = RFStation(self.ring, [self.h], self.V * np.linspace(1, 1.1, self.N_t + 1), [self.dphi]) bigaussian(self.ring, self.rf, self.beam, self.tau_0 / 4, reinsertion=True, seed=1) self.profile = Profile( self.beam, CutOptions(n_slices=100, cut_left=0, cut_right=self.rf.t_rf[0, 0]), FitOptions(fit_option='gaussian')) self.long_tracker = RingAndRFTracker(self.rf, self.beam, Profile=self.profile)
def setUp(self): self.ring = Ring(self.C, self.alpha, np.linspace( self.p_i, self.p_f, self.N_t + 1), Proton(), self.N_t) self.beam = Beam(self.ring, self.N_p, self.N_b) self.rf = RFStation( self.ring, [self.h], self.V * np.linspace(1, 1.1, self.N_t+1), [self.dphi]) bigaussian(self.ring, self.rf, self.beam, self.tau_0/4, reinsertion=True, seed=1) self.profile = Profile(self.beam, CutOptions(n_slices=100, cut_left=0, cut_right=self.rf.t_rf[0, 0]), FitOptions(fit_option='gaussian')) self.long_tracker = RingAndRFTracker( self.rf, self.beam, Profile=self.profile)
def test_phi_modulation(self): timebase = np.linspace(0, 0.2, 10000) freq = 2E3 amp = np.pi offset = 0 harmonic = self.h phiMod = PMod(timebase, freq, amp, offset, harmonic) self.rf = RFStation( self.ring, [self.h], self.V * np.linspace(1, 1.1, self.N_t+1), \ [self.dphi], phi_modulation = phiMod) self.long_tracker = RingAndRFTracker(self.rf, self.beam, Profile=self.profile) for i in range(self.N_t): self.long_tracker.track() self.assertEqual( \ self.long_tracker.phi_rf[:, self.long_tracker.counter[0]-1], \ self.rf.phi_modulation[0][0][i], msg = \ """Phi modulation not added correctly in tracker""")
def run_exact_order1and2(self): self.ring = Ring(self.C, self.alpha_0, self.Ek, Proton(), self.N_t, synchronous_data_type='kinetic energy', alpha_1=self.alpha_1, alpha_2=self.alpha_2) self.beam = Beam(self.ring, self.N_p, self.N_b) self.rf = RFStation(self.ring, 1, 0, np.pi) original_distribution_dt = np.zeros(self.beam.n_macroparticles) original_distribution_dE = np.linspace( -0.1*self.beam.energy, 0.1*self.beam.energy, self.beam.n_macroparticles) self.beam.dt[:] = np.array(original_distribution_dt) self.beam.dE[:] = np.array(original_distribution_dE) self.long_tracker = RingAndRFTracker( self.rf, self.beam, solver='exact') # Forcing usage of legacy self.long_tracker.solver = 'exact' self.long_tracker.solver = self.long_tracker.solver.encode( encoding='utf_8') for i in range(self.ring.n_turns): self.long_tracker.track() original_distribution_dt += self.ring.n_turns * exact_drift( original_distribution_dE, self.ring.alpha_0[0, 0], self.ring.alpha_1[0, 0], self.ring.alpha_2[0, 0], self.ring.beta[0, 0], self.ring.energy[0, 0], self.ring.t_rev[0]) return self.beam.dt, original_distribution_dt, original_distribution_dE
gain2nd = 5e9 PLdict['machine'] = 'SPS_RL' PLdict['RL_gain'] = gain2nd elif PL_2ndLoop == 'F_Loop': gain2nd = 0.9e-1 PLdict['machine'] = 'SPS_F' PLdict['FL_gain'] = gain2nd phaseLoop = BeamFeedback(ring, rf_station, profile, PLdict) beamPosPrev = t_batch_begin + 0.5 * t_rf # SPS --- Tracker Setup ---------------------------------------- mpiprint('Setting up tracker') tracker = RingAndRFTracker(rf_station, beam, Profile=profile, TotalInducedVoltage=inducedVoltage, interpolation=True) fulltracker = FullRingAndRF([tracker]) mpiprint('Creating SPS bunch from PS bunch') # create 72 bunches from PS bunch beginIndex = 0 endIndex = 0 PS_beam = Beam(ring, n_particles, 0.0) PS_n_bunches = 1 for copy in range(n_bunches): # create binomial distribution; # use different seed for different bunches to avoid cloned bunches matched_from_distribution_function(PS_beam,
# Simulation setup ------------------------------------------------------------ print("Setting up the simulation...") print("") # Define general parameters containing data for both RF stations general_params = Ring([0.3*C, 0.7*C], [[alpha], [alpha]], [p_s*np.ones(N_t+1), p_s*np.ones(N_t+1)], Proton(), N_t, n_sections = 2) # Define RF station parameters and corresponding tracker beam = Beam(general_params, N_p, N_b) rf_params_1 = RFStation(general_params, [h], [V1], [dphi], section_index=1) long_tracker_1 = RingAndRFTracker(rf_params_1, beam) rf_params_2 = RFStation(general_params, [h], [V2], [dphi], section_index=2) long_tracker_2 = RingAndRFTracker(rf_params_2, beam) # Define full voltage over one turn and a corresponding "overall" set of #parameters, which is used for the separatrix (in plotting and losses) Vtot = total_voltage([rf_params_1, rf_params_2]) rf_params_tot = RFStation(general_params, [h], [Vtot], [dphi]) beam_dummy = Beam(general_params, 1, N_b) long_tracker_tot = RingAndRFTracker(rf_params_tot, beam_dummy) print("General and RF parameters set...")
fmin_s0=0, fmax_s0=1.1, seed1=1234, seed2=7564, initial_amplitude=1.11100000e-07, folder_plots=this_directory + '../output_files/EX_03_fig') RFnoise.generate() rf_params.phi_noise = np.array(RFnoise.dphi, ndmin=2) print(" Sigma of RF noise is %.4e" % np.std(RFnoise.dphi)) print(" Time step of RF noise is %.4e" % RFnoise.t[1]) print("") beam = Beam(general_params, N_p, N_b) long_tracker = RingAndRFTracker(rf_params, beam) print("General and RF parameters set...") # Define beam and distribution # Generate new distribution bigaussian(general_params, rf_params, beam, tau_0 / 4, reinsertion=True, seed=1) print("Beam set and distribution generated...")
[phi_offset_1], n_rf_systems) my_beam = Beam(general_params, n_macroparticles, n_particles) cut_options = CutOptions(cut_left= 0, cut_right=2*np.pi, n_slices=200, RFSectionParameters=rf_params, cuts_unit = 'rad') slices_ring = Profile(my_beam, cut_options) #Phase loop configuration = {'machine': 'PSB', 'PL_gain': 1./25.e-6, 'period': 10.e-6} phase_loop = BeamFeedback(general_params, rf_params, slices_ring, configuration) #Long tracker long_tracker = RingAndRFTracker(rf_params, my_beam, periodicity='Off', BeamFeedback=phase_loop) full_ring = FullRingAndRF([long_tracker]) distribution_type = 'gaussian' bunch_length = 200.0e-9 distribution_variable = 'Action' matched_from_distribution_function(my_beam, full_ring, bunch_length=bunch_length, distribution_type=distribution_type, distribution_variable=distribution_variable, seed=1222) my_beam.dE += 90.0e3 slices_ring.track()
class TestRfVoltageCalcWCavityFB(unittest.TestCase): # Simulation parameters ------------------------------------------------------- # Bunch parameters N_b = 1e9 # Intensity N_p = 50000 # Macro-particles tau_0 = 0.4e-9 # Initial bunch length, 4 sigma [s] # Machine and RF parameters C = 26658.883 # Machine circumference [m] p_i = 450e9 # Synchronous momentum [eV/c] p_f = 460.005e9 # Synchronous momentum, final h = 35640 # Harmonic number V = 6e6 # RF voltage [V] dphi = 0 # Phase modulation/offset gamma_t = 55.759505 # Transition gamma alpha = 1. / gamma_t / gamma_t # First order mom. comp. factor # Tracking details N_t = 2000 # Number of turns to track # Run before every test def setUp(self): self.ring = Ring(self.C, self.alpha, np.linspace(self.p_i, self.p_f, self.N_t + 1), Proton(), self.N_t) self.beam = Beam(self.ring, self.N_p, self.N_b) self.rf = RFStation(self.ring, [self.h], self.V * np.linspace(1, 1.1, self.N_t + 1), [self.dphi]) bigaussian(self.ring, self.rf, self.beam, self.tau_0 / 4, reinsertion=True, seed=1) self.profile = Profile( self.beam, CutOptions(n_slices=100, cut_left=0, cut_right=self.rf.t_rf[0, 0]), FitOptions(fit_option='gaussian')) self.long_tracker = RingAndRFTracker(self.rf, self.beam, Profile=self.profile) # Run after every test def tearDown(self): pass def test_rf_voltage_calc_1(self): self.long_tracker.cavityFB = CavityFB(1.1, 1.2) self.long_tracker.rf_voltage_calculation() orig_rf_voltage = orig_rf_volt_comp(self.long_tracker) np.testing.assert_almost_equal(self.long_tracker.rf_voltage, orig_rf_voltage, decimal=8) def test_rf_voltage_calc_2(self): self.long_tracker.cavityFB = CavityFB(1.1, 1.2) for i in range(100): self.long_tracker.rf_voltage_calculation() orig_rf_voltage = orig_rf_volt_comp(self.long_tracker) np.testing.assert_almost_equal(self.long_tracker.rf_voltage, orig_rf_voltage, decimal=8) def test_rf_voltage_calc_3(self): self.long_tracker.cavityFB = CavityFB(1.1, 1.2) for i in range(100): self.profile.track() self.long_tracker.track() self.long_tracker.rf_voltage_calculation() orig_rf_voltage = orig_rf_volt_comp(self.long_tracker) np.testing.assert_almost_equal(self.long_tracker.rf_voltage, orig_rf_voltage, decimal=8) def test_rf_voltage_calc_4(self): self.long_tracker.cavityFB = CavityFB( np.linspace(1, 1.5, self.profile.n_slices), np.linspace(0.1, 0.5, self.profile.n_slices)) self.long_tracker.rf_voltage_calculation() orig_rf_voltage = orig_rf_volt_comp(self.long_tracker) np.testing.assert_almost_equal(self.long_tracker.rf_voltage, orig_rf_voltage, decimal=8) def test_rf_voltage_calc_5(self): self.long_tracker.cavityFB = CavityFB( np.linspace(1, 1.5, self.profile.n_slices), np.linspace(0.1, 0.5, self.profile.n_slices)) for i in range(100): self.long_tracker.rf_voltage_calculation() orig_rf_voltage = orig_rf_volt_comp(self.long_tracker) np.testing.assert_almost_equal(self.long_tracker.rf_voltage, orig_rf_voltage, decimal=8) def test_rf_voltage_calc_6(self): self.long_tracker.cavityFB = CavityFB( np.linspace(1, 1.5, self.profile.n_slices), np.linspace(0.1, 0.5, self.profile.n_slices)) for i in range(100): self.profile.track() self.long_tracker.track() self.long_tracker.rf_voltage_calculation() orig_rf_voltage = orig_rf_volt_comp(self.long_tracker) np.testing.assert_almost_equal(self.long_tracker.rf_voltage, orig_rf_voltage, decimal=8) def test_phi_modulation(self): timebase = np.linspace(0, 0.2, 10000) freq = 2E3 amp = np.pi offset = 0 harmonic = self.h phiMod = PMod(timebase, freq, amp, offset, harmonic) self.rf = RFStation( self.ring, [self.h], self.V * np.linspace(1, 1.1, self.N_t+1), \ [self.dphi], phi_modulation = phiMod) self.long_tracker = RingAndRFTracker(self.rf, self.beam, Profile=self.profile) for i in range(self.N_t): self.long_tracker.track() self.assertEqual( \ self.long_tracker.phi_rf[:, self.long_tracker.counter[0]-1], \ self.rf.phi_modulation[0][0][i], msg = \ """Phi modulation not added correctly in tracker""")
ring = Ring(C, alpha, np.linspace(p_i, p_f, n_turns + 1), Proton(), n_turns) # Define beam and distribution beam = Beam(ring, n_particles, N_b) # Define RF station parameters and corresponding tracker rf = RFStation(ring, [h], [V], [dphi]) bigaussian(ring, rf, beam, tau_0 / 4, reinsertion=True, seed=seed) # Need slices for the Gaussian fit # TODO add the gaussian fit profile = Profile(beam, CutOptions(n_slices=n_slices)) # FitOptions(fit_option='gaussian')) long_tracker = RingAndRFTracker(rf, beam) # beam.split_random() beam.split() if args['monitor'] > 0 and worker.isMaster: if args.get('monitorfile', None): filename = args['monitorfile'] else: filename = 'monitorfiles/ex01-t{}-p{}-b{}-sl{}-approx{}-prec{}-r{}-m{}-se{}-w{}'.format( n_iterations, n_particles, n_bunches, n_slices, approx, args['precision'], n_turns_reduce, args['monitor'], seed, worker.workers) slicesMonitor = SlicesMonitor(filename=filename, n_turns=np.ceil(n_iterations / args['monitor']),
beam = Beam(general_params, n_macroparticles, n_particles) # DEFINE SLICES---------------------------------------------------------------- number_slices = 500 cut_options = CutOptions(cut_left=0., cut_right=bucket_length, n_slices=number_slices) slice_beam = Profile(beam, CutOptions=cut_options) # DEFINE TRACKER--------------------------------------------------------------- longitudinal_tracker = [] for i in range(n_sections): longitudinal_tracker.append( RingAndRFTracker(RF_sct_par[i], beam, Profile=slice_beam)) full_tracker = FullRingAndRF(longitudinal_tracker) # BEAM GENERATION-------------------------------------------------------------- matched_from_distribution_function(beam, full_tracker, emittance=emittance, distribution_type=distribution_type, distribution_variable=distribution_variable, seed=1000) slice_beam.track() # Synchrotron radiation objects without quantum excitation
bucket_length = C / c / harmonic_numbers[0] # DEFINE RING------------------------------------------------------------------ general_params = Ring(C, momentum_compaction, sync_momentum, Electron(), n_turns) RF_sct_par = RFStation(general_params, harmonic_numbers, voltage_program, phi_offset, n_rf_systems) # DEFINE BEAM------------------------------------------------------------------ beam = Beam(general_params, n_macroparticles, n_particles) # DEFINE TRACKER--------------------------------------------------------------- longitudinal_tracker = RingAndRFTracker(RF_sct_par, beam) full_tracker = FullRingAndRF([longitudinal_tracker]) # DEFINE SLICES---------------------------------------------------------------- n_slices = 500 n_bunches = 80 bunch_spacing = 1600 # buckets filling_pattern = np.zeros(bunch_spacing * n_bunches) filling_pattern[::bunch_spacing] = 1 # BEAM GENERATION-------------------------------------------------------------- matched_from_distribution_function(beam,
# Cavities parameters n_rf_systems = 1 harmonic_numbers = 1 voltage_program = 8e3 #[V] phi_offset = np.pi # DEFINE RING------------------------------------------------------------------ general_params = Ring(C, momentum_compaction, sync_momentum, Proton(), n_turns) RF_sct_par = RFStation(general_params, [harmonic_numbers], [voltage_program], [phi_offset], n_rf_systems) my_beam = Beam(general_params, n_macroparticles, n_particles) ring_RF_section = RingAndRFTracker(RF_sct_par, my_beam) # DEFINE BEAM------------------------------------------------------------------ bigaussian(general_params, RF_sct_par, my_beam, sigma_dt, seed=1) # DEFINE SLICES---------------------------------------------------------------- slice_beam = Profile( my_beam, CutOptions(cut_left=-5.72984173562e-7, cut_right=5.72984173562e-7, n_slices=100)) # MONITOR---------------------------------------------------------------------- bunchmonitor = BunchMonitor(general_params, RF_sct_par,
slices_ring = Profile(my_beam, cut_options) #Phase loop #configuration = {'machine': 'PSB', 'PL_gain': 0., 'RL_gain': [34.8,16391], # 'PL_period': 10.e-6, 'RL_period': 7} configuration = { 'machine': 'PSB', 'PL_gain': 0, 'RL_gain': [1.e7, 1.e11], 'period': 10.e-6 } phase_loop = BeamFeedback(general_params, rf_params, slices_ring, configuration) #Long tracker long_tracker = RingAndRFTracker(rf_params, my_beam, BeamFeedback=phase_loop) full_ring = FullRingAndRF([long_tracker]) distribution_type = 'gaussian' bunch_length = 200.0e-9 distribution_variable = 'Action' matched_from_distribution_function(my_beam, full_ring, bunch_length=bunch_length, distribution_type=distribution_type, distribution_variable=distribution_variable, seed=1223) slices_ring.track()
def setUp(self): C = 2*np.pi*1100.009 # Ring circumference [m] gamma_t = 18.0 # Gamma at transition alpha = 1/gamma_t**2 # Momentum compaction factor p_s = 25.92e9 # Synchronous momentum at injection [eV] h = 4620 # 200 MHz system harmonic phi = 0. # 200 MHz RF phase # With this setting, amplitude in the two four-section, five-section # cavities must converge, respectively, to # 2.0 MV = 4.5 MV * 4/18 * 2 # 2.5 MV = 4.5 MV * 5/18 * 2 V = 4.5e6 # 200 MHz RF voltage N_t = 1 # Number of turns to track self.ring = Ring(C, alpha, p_s, Particle=Proton(), n_turns=N_t) self.rf = RFStation(self.ring, h, V, phi) N_m = 1e6 # Number of macro-particles for tracking N_b = 72*1.0e11 # Bunch intensity [ppb] # Gaussian beam profile self.beam = Beam(self.ring, N_m, N_b) sigma = 1.0e-9 bigaussian(self.ring, self.rf, self.beam, sigma, seed=1234, reinsertion=False) n_shift = 1550 # how many rf-buckets to shift beam self.beam.dt += n_shift * self.rf.t_rf[0,0] self.profile = Profile( self.beam, CutOptions=CutOptions( cut_left=(n_shift-1.5)*self.rf.t_rf[0,0], cut_right=(n_shift+2.5)*self.rf.t_rf[0,0], n_slices=4*64)) self.profile.track() # Cavities l_cav = 43*0.374 v_g = 0.0946 tau = l_cav/(v_g*c)*(1 + v_g) f_cav = 200.222e6 n_cav = 2 # factor 2 because of two four/five-sections cavities short_cavity = TravelingWaveCavity(l_cav**2 * n_cav * 27.1e3 / 8, f_cav, 2*np.pi*tau) shortInducedVoltage = InducedVoltageTime(self.beam, self.profile, [short_cavity]) l_cav = 54*0.374 tau = l_cav/(v_g*c)*(1 + v_g) long_cavity = TravelingWaveCavity(l_cav**2 * n_cav * 27.1e3 / 8, f_cav, 2*np.pi*tau) longInducedVoltage = InducedVoltageTime(self.beam, self.profile, [long_cavity]) self.induced_voltage = TotalInducedVoltage( self.beam, self.profile, [shortInducedVoltage, longInducedVoltage]) self.induced_voltage.induced_voltage_sum() self.cavity_tracker = RingAndRFTracker( self.rf, self.beam, Profile=self.profile, interpolation=True, TotalInducedVoltage=self.induced_voltage) self.OTFB = SPSCavityFeedback( self.rf, self.beam, self.profile, G_llrf=5, G_tx=0.5, a_comb=15/16, turns=50, Commissioning=CavityFeedbackCommissioning()) self.OTFB_tracker = RingAndRFTracker(self.rf, self.beam, Profile=self.profile, TotalInducedVoltage=None, CavityFeedback=self.OTFB, interpolation=True)
class TestCavityFeedback(unittest.TestCase): def setUp(self): C = 2*np.pi*1100.009 # Ring circumference [m] gamma_t = 18.0 # Gamma at transition alpha = 1/gamma_t**2 # Momentum compaction factor p_s = 25.92e9 # Synchronous momentum at injection [eV] h = 4620 # 200 MHz system harmonic phi = 0. # 200 MHz RF phase # With this setting, amplitude in the two four-section, five-section # cavities must converge, respectively, to # 2.0 MV = 4.5 MV * 4/18 * 2 # 2.5 MV = 4.5 MV * 5/18 * 2 V = 4.5e6 # 200 MHz RF voltage N_t = 1 # Number of turns to track self.ring = Ring(C, alpha, p_s, Particle=Proton(), n_turns=N_t) self.rf = RFStation(self.ring, h, V, phi) N_m = 1e6 # Number of macro-particles for tracking N_b = 72*1.0e11 # Bunch intensity [ppb] # Gaussian beam profile self.beam = Beam(self.ring, N_m, N_b) sigma = 1.0e-9 bigaussian(self.ring, self.rf, self.beam, sigma, seed=1234, reinsertion=False) n_shift = 1550 # how many rf-buckets to shift beam self.beam.dt += n_shift * self.rf.t_rf[0,0] self.profile = Profile( self.beam, CutOptions=CutOptions( cut_left=(n_shift-1.5)*self.rf.t_rf[0,0], cut_right=(n_shift+2.5)*self.rf.t_rf[0,0], n_slices=4*64)) self.profile.track() # Cavities l_cav = 43*0.374 v_g = 0.0946 tau = l_cav/(v_g*c)*(1 + v_g) f_cav = 200.222e6 n_cav = 2 # factor 2 because of two four/five-sections cavities short_cavity = TravelingWaveCavity(l_cav**2 * n_cav * 27.1e3 / 8, f_cav, 2*np.pi*tau) shortInducedVoltage = InducedVoltageTime(self.beam, self.profile, [short_cavity]) l_cav = 54*0.374 tau = l_cav/(v_g*c)*(1 + v_g) long_cavity = TravelingWaveCavity(l_cav**2 * n_cav * 27.1e3 / 8, f_cav, 2*np.pi*tau) longInducedVoltage = InducedVoltageTime(self.beam, self.profile, [long_cavity]) self.induced_voltage = TotalInducedVoltage( self.beam, self.profile, [shortInducedVoltage, longInducedVoltage]) self.induced_voltage.induced_voltage_sum() self.cavity_tracker = RingAndRFTracker( self.rf, self.beam, Profile=self.profile, interpolation=True, TotalInducedVoltage=self.induced_voltage) self.OTFB = SPSCavityFeedback( self.rf, self.beam, self.profile, G_llrf=5, G_tx=0.5, a_comb=15/16, turns=50, Commissioning=CavityFeedbackCommissioning()) self.OTFB_tracker = RingAndRFTracker(self.rf, self.beam, Profile=self.profile, TotalInducedVoltage=None, CavityFeedback=self.OTFB, interpolation=True) def test_FB_pre_tracking(self): digit_round = 3 Vind4_mean = np.around( np.mean(np.absolute(self.OTFB.OTFB_4.V_coarse_tot))/1e6, digit_round) Vind4_std = np.around( np.std(np.absolute(self.OTFB.OTFB_4.V_coarse_tot))/1e6, digit_round) Vind4_mean_exp = np.around(1.99886351363, digit_round) Vind4_std_exp = np.around(2.148426e-6, digit_round) Vind5_mean = np.around( np.mean(np.absolute(self.OTFB.OTFB_5.V_coarse_tot))/1e6, digit_round) Vind5_std = np.around( np.std(np.absolute(self.OTFB.OTFB_5.V_coarse_tot))/1e6, digit_round) Vind5_mean_exp = np.around(2.49906605189, digit_round) Vind5_std_exp = np.around(2.221665e-6, digit_round) self.assertEqual(Vind4_mean, Vind4_mean_exp, msg='In TestCavityFeedback test_FB_pretracking: ' +'mean value of four-section cavity differs') self.assertEqual(Vind4_std, Vind4_std_exp, msg='In TestCavityFeedback test_FB_pretracking: standard ' +'deviation of four-section cavity differs') self.assertEqual(Vind5_mean, Vind5_mean_exp, msg='In TestCavityFeedback test_FB_pretracking: ' +'mean value of five-section cavity differs') self.assertEqual(Vind5_std, Vind5_std_exp, msg='In TestCavityFeedback test_FB_pretracking: standard '+ 'deviation of five-section cavity differs') def test_FB_pre_tracking_IQ_v1(self): digit_round = 2 # interpolate from coarse mesh to fine mesh V_fine_tot_4 = np.interp( self.profile.bin_centers, self.OTFB.OTFB_4.rf_centers, self.OTFB.OTFB_4.V_coarse_ind_gen) V_fine_tot_5 = np.interp( self.profile.bin_centers, self.OTFB.OTFB_5.rf_centers, self.OTFB.OTFB_5.V_coarse_ind_gen) V_tot_4 = np.around(V_fine_tot_4/1e6, digit_round) V_tot_5 = np.around(V_fine_tot_5/1e6, digit_round) V_sum = np.around(self.OTFB.V_sum/1e6, digit_round) # expected generator voltage is only in Q V_tot_4_exp = 2.0j*np.ones(256) V_tot_5_exp = 2.5j*np.ones(256) V_sum_exp = 4.5j*np.ones(256) self.assertListEqual(V_tot_4.tolist(), V_tot_4_exp.tolist(), msg='In TestCavityFeedback test_FB_pretracking_IQ: total voltage ' +'in four-section cavity differs') self.assertListEqual(V_tot_5.tolist(), V_tot_5_exp.tolist(), msg='In TestCavityFeedback test_FB_pretracking_IQ: total voltage ' +'in five-section cavity differs') self.assertListEqual(V_sum.tolist(), V_sum_exp.tolist(), msg='In TestCavityFeedback test_FB_pretracking_IQ: voltage sum ' +' differs') def test_rf_voltage(self): digit_round = 8 # compute voltage self.cavity_tracker.rf_voltage_calculation() # compute voltage after OTFB pre-tracking self.OTFB_tracker.rf_voltage_calculation() # Since there is a systematic offset between the voltages, # compare the maxium of the ratio max_ratio = np.max(self.cavity_tracker.rf_voltage / self.OTFB_tracker.rf_voltage) max_ratio = np.around(max_ratio, digit_round) max_ratio_exp = np.around(1.0008217052569774, digit_round) self.assertAlmostEqual(max_ratio, max_ratio_exp, places=digit_round, msg='In TestCavityFeedback test_rf_voltage: ' + 'RF-voltages differ') def test_beam_loading(self): digit_round = 10 # Compute voltage with beam loading self.cavity_tracker.rf_voltage_calculation() cavity_tracker_total_voltage = self.cavity_tracker.rf_voltage \ + self.cavity_tracker.totalInducedVoltage.induced_voltage self.OTFB.track() self.OTFB_tracker.rf_voltage_calculation() OTFB_tracker_total_voltage = self.OTFB_tracker.rf_voltage max_ratio = np.around(np.max(cavity_tracker_total_voltage / OTFB_tracker_total_voltage), digit_round) max_ration_exp = np.around(1.0051759770680779, digit_round) self.assertEqual(max_ratio, max_ration_exp, msg='In TestCavityFeedback test_beam_loading: ' + 'total voltages differ') def test_Vsum_IQ(self): digit_round = 4 self.OTFB.track() V_sum = np.around(self.OTFB.V_sum/1e6, digit_round) V_sum_exp = np.around(np.array([-7.40650823e+01+4497812.99202967j, -7.40650823e+01+4497812.99202967j, -7.40650823e+01+4497812.99202967j, -7.40650823e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650823e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j,-7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j,-7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j,-7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202968j,-7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202968j,-7.40650822e+01+4497812.99202968j, -7.40650822e+01+4497812.99202968j,-7.40650822e+01+4497812.99202968j, -7.40650822e+01+4497812.99202968j,-7.40650822e+01+4497812.99202968j, -7.40650822e+01+4497812.99202968j,-7.40650822e+01+4497812.99202968j, -7.40650822e+01+4497812.99202968j,-7.40650822e+01+4497812.99202968j, -7.40650822e+01+4497812.99202968j,-7.40650822e+01+4497812.99202968j, -7.40650822e+01+4497812.99202968j,-7.40650822e+01+4497812.99202968j, -7.40650822e+01+4497812.99202968j,-7.40650822e+01+4497812.99202968j, -7.40650822e+01+4497812.99202968j,-7.40650822e+01+4497812.99202968j, -7.40650822e+01+4497812.99202968j,-7.40650822e+01+4497812.99202968j, -7.40650822e+01+4497812.99202968j,-7.40650822e+01+4497812.99202968j, -7.40650822e+01+4497812.99202968j,-7.40650822e+01+4497812.99202968j, -6.02318851e+01+4497817.94162674j,-1.98390915e+01+4497835.4539936j , 1.93158486e+01+4497855.56826354j,4.37055412e+01+4497871.87009121j, 7.72626261e+01+4497900.35036866j,1.08879867e+02+4497930.96118169j, 1.36226374e+02+4497965.43834138j,1.83914308e+02+4498039.43198652j, 2.58060957e+02+4498182.7842137j ,3.46527521e+02+4498400.20917783j, 4.26706222e+02+4498667.15544146j,4.94661306e+02+4499027.56784064j, 5.43482338e+02+4499582.92538958j,5.37601327e+02+4500375.11759629j, 4.18116316e+02+4501483.68340875j,1.06781854e+02+4502992.29896325j, -5.18346745e+02+4504994.88486696j,-1.49458714e+03+4507337.42385509j, -3.01163886e+03+4510119.3419273j ,-5.32851179e+03+4513546.45481774j, -8.74569640e+03+4517649.58201841j,-1.36711235e+04+4522515.97696859j, -2.06268308e+04+4528145.57335092j,-3.07188747e+04+4534772.43779405j, -4.42705242e+04+4541938.02912512j,-6.14651616e+04+4548954.45228089j, -8.23300421e+04+4555211.22162217j,-1.09421551e+05+4560368.34346543j, -1.43885886e+05+4563628.1865127j ,-1.85808399e+05+4563383.852869j , -2.36208282e+05+4558209.23829535j,-2.94836934e+05+4546270.53281669j, -3.63317854e+05+4525133.07455768j,-4.41779074e+05+4492246.31582297j, -5.28977031e+05+4445197.26263046j,-6.24427353e+05+4380854.18329653j, -7.28570463e+05+4294604.34393273j,-8.41413067e+05+4180725.12037253j, -9.58666802e+05+4036850.21934613j,-1.07489637e+06+3861588.24443417j, -1.18692079e+06+3650150.96222293j,-1.28868132e+06+3402561.33925834j, -1.37503355e+06+3113868.12951949j,-1.44047679e+06+2779413.13521708j, -1.47644078e+06+2402815.35953829j,-1.47522678e+06+1985042.23744602j, -1.42897968e+06+1528424.34271266j,-1.32931255e+06+1034805.30411738j, -1.16912937e+06 +511261.80102318j,-9.43345126e+05 -30406.39494472j, -6.44543913e+05 -585971.64269612j,-2.67898382e+05-1147041.0353738j , 1.87647422e+05-1699739.23544117j,7.19585769e+05-2229855.79356738j, 1.32653137e+06-2725965.80099238j,2.00691053e+06-3178849.17084715j, 2.75728744e+06-3578075.86057957j,3.56230981e+06-3910440.14562456j, 4.40408617e+06-4164575.91355405j,5.28572695e+06-4338227.19020188j, 6.19719564e+06-4426787.10912655j,7.11277008e+06-4425807.66220696j, 8.01692653e+06-4335730.38899002j,8.89765817e+06-4159572.80505286j, 9.74683705e+06-3900763.99853979j,1.05559999e+07-3564480.67012727j, 1.13018718e+07-3165395.29765105j,1.19781005e+07-2712267.95526922j, 1.25833208e+07-2214895.26359232j,1.31112101e+07-1685734.89623327j, 1.35640429e+07-1132761.26804116j,1.39371556e+07 -573495.98893318j, 1.42323033e+07 -19883.35687916j,1.44559502e+07 +521811.95451886j, 1.46134106e+07+1043190.45283868j,1.47105373e+07+1534116.02749795j, 1.47549265e+07+1994083.71851812j,1.47545428e+07+2416602.70892133j, 1.47166958e+07+2794242.30539414j,1.46493955e+07+3129779.93382244j, 1.45593030e+07+3424466.23125072j,1.44539743e+07+3677716.51226699j, 1.43401341e+07+3889644.33404043j,1.42224899e+07+4064982.31004726j, 1.41063737e+07+4205965.72167177j,1.39946111e+07+4317244.42689922j, 1.38886184e+07+4403883.23649077j,1.37894739e+07+4469861.27187975j, 1.36989283e+07+4518194.75268176j,1.36191316e+07+4551305.81768837j, 1.35495619e+07+4572524.22309931j,1.34903101e+07+4584597.89085099j, 1.34406305e+07+4589814.4489974j ,1.33976876e+07+4590220.82697034j, 1.33615022e+07+4587255.76269093j,1.33327026e+07+4582254.09185628j, 1.33096130e+07+4576070.77968165j,1.32911752e+07+4569436.1321998j , 1.32768524e+07+4562928.08977976j,1.32656893e+07+4556810.85976046j, 1.32570926e+07+4551309.42853408j,1.32504722e+07+4546502.73564931j, 1.32453253e+07+4542354.45990368j,1.32414716e+07+4539159.11692844j, 1.32386032e+07+4536873.63706821j,1.32362022e+07+4534949.63932622j, 1.32341515e+07+4533397.43716764j,1.32323621e+07+4532141.64712087j, 1.32307439e+07+4531156.20064611j,1.32292493e+07+4530633.17835778j, 1.32277994e+07+4530492.96280951j,1.32263821e+07+4530446.25647796j, 1.32249901e+07+4530405.83108728j,1.32236081e+07+4530431.11420123j, 1.32222495e+07+4530467.44843446j,1.32208432e+07+4530611.48233323j, 1.32193886e+07+4530847.10244979j,1.32179361e+07+4531084.60180009j, 1.32164993e+07+4531317.55923836j,1.32150516e+07+4531560.32993118j, 1.32135685e+07+4531829.29611484j,1.32120853e+07+4532098.20168656j, 1.32106022e+07+4532367.04664624j,1.32091191e+07+4532635.83099376j, 1.32076359e+07+4532904.55472902j,1.32061675e+07+4533173.93875581j, 1.32046990e+07+4533443.26260922j,1.32032158e+07+4533711.80494598j, 1.32017326e+07+4533980.28666989j,1.32002495e+07+4534248.70778084j, 1.31987663e+07+4534517.06827872j,1.31972831e+07+4534785.36816343j, 1.31957999e+07+4535053.60743485j,1.31943167e+07+4535321.78609287j, 1.31928335e+07+4535589.90413737j,1.31913503e+07+4535857.96156826j, 1.31898671e+07+4536125.95838542j,1.31883839e+07+4536393.89458873j, 1.31869007e+07+4536661.77017809j,1.31854174e+07+4536929.58515338j, 1.31839342e+07+4537197.33951451j,1.31824510e+07+4537465.03326134j, 1.31809677e+07+4537732.66639378j,1.31794845e+07+4538000.23891172j, 1.31780012e+07+4538267.75081504j,1.31765179e+07+4538535.20210364j, 1.31750347e+07+4538802.5927774j ,1.31735514e+07+4539069.92283622j, 1.31720681e+07+4539337.19227997j,1.31705848e+07+4539604.40110857j, 1.31691016e+07+4539871.54932188j,1.31676183e+07+4540138.63691982j, 1.31661350e+07+4540405.66390225j,1.31646517e+07+4540672.63026908j, 1.31631684e+07+4540939.53602019j,1.31616850e+07+4541206.38115549j, 1.31602017e+07+4541473.16567484j,1.31587184e+07+4541739.88957815j, 1.31572351e+07+4542006.55286531j,1.31557517e+07+4542273.1555362j , 1.31542684e+07+4542539.69759073j,1.31527850e+07+4542806.17902876j, 1.31513017e+07+4543072.59985021j,1.31498183e+07+4543338.96005496j, 1.31483350e+07+4543605.2596429j ,1.31468516e+07+4543871.49861392j, 1.31453682e+07+4544137.6769679j ,1.31438848e+07+4544403.79470476j, 1.31424014e+07+4544669.85182436j,1.31409181e+07+4544935.84832662j, 1.31394347e+07+4545201.7842114j ,1.31379513e+07+4545467.65947862j, 1.31364679e+07+4545733.47412815j,1.31349844e+07+4545999.22815989j, 1.31335010e+07+4546264.92157373j,1.31320176e+07+4546530.55436956j, 1.31305342e+07+4546796.12654728j,1.31290507e+07+4547061.63810677j, 1.31275673e+07+4547327.08904792j,1.31260839e+07+4547592.47937064j, 1.31246004e+07+4547857.8090748j ,1.31231170e+07+4548123.0781603j , 1.31216335e+07+4548388.28662704j,1.31201500e+07+4548653.4344749j , 1.31186666e+07+4548918.52170378j,1.31171831e+07+4549183.54831356j, 1.31156996e+07+4549448.51430414j,1.31142161e+07+4549713.41967541j, 1.31127326e+07+4549978.26442727j])/1e6, digit_round) self.assertListEqual(V_sum.tolist(), V_sum_exp.tolist(), msg='In TestCavityFeedback test_Vsum_IQ: total voltage ' +'is different from expected values!')
class TestRfVoltageCalc(unittest.TestCase): # Simulation parameters ------------------------------------------------------- # Bunch parameters N_b = 1e9 # Intensity N_p = 50000 # Macro-particles tau_0 = 0.4e-9 # Initial bunch length, 4 sigma [s] # Machine and RF parameters C = 26658.883 # Machine circumference [m] p_i = 450e9 # Synchronous momentum [eV/c] p_f = 460.005e9 # Synchronous momentum, final h = 35640 # Harmonic number V = 6e6 # RF voltage [V] dphi = 0 # Phase modulation/offset gamma_t = 55.759505 # Transition gamma alpha = 1. / gamma_t / gamma_t # First order mom. comp. factor # Tracking details N_t = 2000 # Number of turns to track # Run before every test def setUp(self): self.ring = Ring(self.C, self.alpha, np.linspace(self.p_i, self.p_f, self.N_t + 1), Proton(), self.N_t) self.beam = Beam(self.ring, self.N_p, self.N_b) self.rf = RFStation(self.ring, [self.h], self.V * np.linspace(1, 1.1, self.N_t + 1), [self.dphi]) bigaussian(self.ring, self.rf, self.beam, self.tau_0 / 4, reinsertion=True, seed=1) self.profile = Profile( self.beam, CutOptions(n_slices=100, cut_left=0, cut_right=self.rf.t_rf[0, 0]), FitOptions(fit_option='gaussian')) self.long_tracker = RingAndRFTracker(self.rf, self.beam, Profile=self.profile) # Run after every test def tearDown(self): pass def test_rf_voltage_calc_1(self): self.long_tracker.rf_voltage_calculation() orig_rf_voltage = orig_rf_volt_comp(self.long_tracker) np.testing.assert_almost_equal(self.long_tracker.rf_voltage, orig_rf_voltage, decimal=8) def test_rf_voltage_calc_2(self): for i in range(100): self.long_tracker.rf_voltage_calculation() orig_rf_voltage = orig_rf_volt_comp(self.long_tracker) np.testing.assert_almost_equal(self.long_tracker.rf_voltage, orig_rf_voltage, decimal=8) def test_rf_voltage_calc_3(self): for i in range(100): self.profile.track() self.long_tracker.track() self.long_tracker.rf_voltage_calculation() orig_rf_voltage = orig_rf_volt_comp(self.long_tracker) np.testing.assert_almost_equal(self.long_tracker.rf_voltage, orig_rf_voltage, decimal=8)
charge_test = general_params.Particle.charge # e*Z # Define RF station parameters and corresponding tracker rf_params = RFStation(general_params, [h], [V], [dphi]) print("Initial bucket length is %.3e s" % (2. * np.pi / rf_params.omega_rf[0, 0])) print("Final bucket length is %.3e s" % (2. * np.pi / rf_params.omega_rf[0, N_t])) phi_s_test = rf_params.phi_s #: *Synchronous phase omega_RF_d_test = rf_params.omega_rf_d #: *Design RF frequency of the RF systems in the station [GHz]* omega_RF_test = rf_params.omega_rf #: *Initial, actual RF frequency of the RF systems in the station [GHz]* phi_RF_test = rf_params.omega_rf #: *Initial, actual RF phase of each harmonic system* E_increment_test = rf_params.delta_E #Energy increment (acceleration/deceleration) between two turns, long_tracker = RingAndRFTracker(rf_params, beam) eta_0_test = rf_params.eta_0 #: *Slippage factor (0th order) for the given RF section* eta_1_test = rf_params.eta_1 #: *Slippage factor (1st order) for the given RF section* eta_2_test = rf_params.eta_2 #: *Slippage factor (2nd order) for the given RF section* alpha_order_test = rf_params.alpha_order bigaussian(general_params, rf_params, beam, tau_0 / 4, reinsertion='on', seed=1) # Need slices for the Gaussian fit slice_beam = Profile(beam, CutOptions(n_slices=100))
# Cavities parameters n_rf_systems = 1 harmonic_numbers = 1 voltage_program = 8e3 #[V] phi_offset = np.pi # DEFINE RING------------------------------------------------------------------ general_params = Ring(C, momentum_compaction, sync_momentum, Proton(), n_turns) RF_sct_par = RFStation(general_params, [harmonic_numbers], [voltage_program], [phi_offset], n_rf_systems) my_beam = Beam(general_params, n_macroparticles, n_particles) ring_RF_section = RingAndRFTracker(RF_sct_par, my_beam) # DEFINE BEAM------------------------------------------------------------------ bigaussian(general_params, RF_sct_par, my_beam, sigma_dt, seed=1) # DEFINE SLICES---------------------------------------------------------------- slice_beam = Profile( my_beam, CutOptions(cut_left=-5.72984173562e-7, cut_right=5.72984173562e-7, n_slices=100)) # MONITOR---------------------------------------------------------------------- bunchmonitor = BunchMonitor(general_params, RF_sct_par,
ImpedanceTableListRest, frequency_step, RFParams=rf_params, multi_turn_wake=True, front_wake_length=front_wake_length) # PS_longitudinal_intensity = TotalInducedVoltage( # beam, profile, [PS_intensity_freq_10MHz, PS_intensity_freq_Rest, PS_inductive]) PS_longitudinal_intensity = TotalInducedVoltage( beam, profile, [PS_intensity_freq_Rest, PS_inductive]) # RF tracker tracker = RingAndRFTracker(rf_params, beam, interpolation=True, Profile=profile, TotalInducedVoltage=PS_longitudinal_intensity) full_tracker = FullRingAndRF([tracker]) # Beam generation distribution_options = { 'type': 'parabolic_amplitude', 'density_variable': 'Hamiltonian', 'bunch_length': bunch_length } match_beam_from_distribution(beam, full_tracker, ring, distribution_options,
class TestCavityFeedback(unittest.TestCase): def setUp(self): C = 2*np.pi*1100.009 # Ring circumference [m] gamma_t = 18.0 # Gamma at transition alpha = 1/gamma_t**2 # Momentum compaction factor p_s = 25.92e9 # Synchronous momentum at injection [eV] h = 4620 # 200 MHz system harmonic phi = 0. # 200 MHz RF phase # With this setting, amplitude in the two four-section, five-section # cavities must converge, respectively, to # 2.0 MV = 4.5 MV * 4/18 * 2 # 2.5 MV = 4.5 MV * 5/18 * 2 V = 4.5e6 # 200 MHz RF voltage N_t = 1 # Number of turns to track self.ring = Ring(C, alpha, p_s, Particle=Proton(), n_turns=N_t) self.rf = RFStation(self.ring, h, V, phi) N_m = 1e6 # Number of macro-particles for tracking N_b = 72*1.0e11 # Bunch intensity [ppb] # Gaussian beam profile self.beam = Beam(self.ring, N_m, N_b) sigma = 1.0e-9 bigaussian(self.ring, self.rf, self.beam, sigma, seed=1234, reinsertion=False) n_shift = 1550 # how many rf-buckets to shift beam self.beam.dt += n_shift * self.rf.t_rf[0, 0] self.profile = Profile( self.beam, CutOptions=CutOptions( cut_left=(n_shift-1.5)*self.rf.t_rf[0, 0], cut_right=(n_shift+2.5)*self.rf.t_rf[0, 0], n_slices=4*64)) self.profile.track() # Cavities l_cav = 43*0.374 v_g = 0.0946 tau = l_cav/(v_g*c)*(1 + v_g) f_cav = 200.222e6 n_cav = 2 # factor 2 because of two four/five-sections cavities short_cavity = TravelingWaveCavity(l_cav**2 * n_cav * 27.1e3 / 8, f_cav, 2*np.pi*tau) shortInducedVoltage = InducedVoltageTime(self.beam, self.profile, [short_cavity]) l_cav = 54*0.374 tau = l_cav/(v_g*c)*(1 + v_g) long_cavity = TravelingWaveCavity(l_cav**2 * n_cav * 27.1e3 / 8, f_cav, 2*np.pi*tau) longInducedVoltage = InducedVoltageTime(self.beam, self.profile, [long_cavity]) self.induced_voltage = TotalInducedVoltage( self.beam, self.profile, [shortInducedVoltage, longInducedVoltage]) self.induced_voltage.induced_voltage_sum() self.cavity_tracker = RingAndRFTracker( self.rf, self.beam, Profile=self.profile, interpolation=True, TotalInducedVoltage=self.induced_voltage) self.OTFB = SPSCavityFeedback( self.rf, self.beam, self.profile, G_llrf=5, G_tx=0.5, a_comb=15/16, turns=50, Commissioning=CavityFeedbackCommissioning()) self.OTFB_tracker = RingAndRFTracker(self.rf, self.beam, Profile=self.profile, TotalInducedVoltage=None, CavityFeedback=self.OTFB, interpolation=True) def test_FB_pre_tracking(self): digit_round = 3 Vind4_mean = np.mean(np.absolute(self.OTFB.OTFB_4.V_coarse_tot))/1e6 Vind4_std = np.std(np.absolute(self.OTFB.OTFB_4.V_coarse_tot))/1e6 Vind4_mean_exp = 1.99886351363 Vind4_std_exp = 2.148426e-6 Vind5_mean = np.mean(np.absolute(self.OTFB.OTFB_5.V_coarse_tot))/1e6 Vind5_std = np.std(np.absolute(self.OTFB.OTFB_5.V_coarse_tot))/1e6 Vind5_mean_exp = 2.49906605189 Vind5_std_exp = 2.221665e-6 self.assertAlmostEqual(Vind4_mean, Vind4_mean_exp, places=digit_round, msg='In TestCavityFeedback test_FB_pretracking: ' + 'mean value of four-section cavity differs') self.assertAlmostEqual(Vind4_std, Vind4_std_exp, places=digit_round, msg='In TestCavityFeedback test_FB_pretracking: standard ' + 'deviation of four-section cavity differs') self.assertAlmostEqual(Vind5_mean, Vind5_mean_exp, places=digit_round, msg='In TestCavityFeedback test_FB_pretracking: ' + 'mean value of five-section cavity differs') self.assertAlmostEqual(Vind5_std, Vind5_std_exp, places=digit_round, msg='In TestCavityFeedback test_FB_pretracking: standard ' + 'deviation of five-section cavity differs') def test_FB_pre_tracking_IQ_v1(self): rtol = 1e-3 # relative tolerance atol = 0 # absolute tolerance # interpolate from coarse mesh to fine mesh V_fine_tot_4 = np.interp( self.profile.bin_centers, self.OTFB.OTFB_4.rf_centers, self.OTFB.OTFB_4.V_coarse_ind_gen) V_fine_tot_5 = np.interp( self.profile.bin_centers, self.OTFB.OTFB_5.rf_centers, self.OTFB.OTFB_5.V_coarse_ind_gen) V_tot_4 = V_fine_tot_4/1e6 V_tot_5 = V_fine_tot_5/1e6 V_sum = self.OTFB.V_sum/1e6 # expected generator voltage is only in Q V_tot_4_exp = 2.0j*np.ones(256) V_tot_5_exp = 2.5j*np.ones(256) V_sum_exp = 4.5j*np.ones(256) np.testing.assert_allclose(V_tot_4, V_tot_4_exp, rtol=rtol, atol=atol, err_msg='In TestCavityFeedback test_FB_pretracking_IQ: total voltage ' + 'in four-section cavity differs') np.testing.assert_allclose(V_tot_5, V_tot_5_exp, rtol=rtol, atol=atol, err_msg='In TestCavityFeedback test_FB_pretracking_IQ: total voltage ' + 'in five-section cavity differs') np.testing.assert_allclose(V_sum, V_sum_exp, rtol=rtol, atol=atol, err_msg='In TestCavityFeedback test_FB_pretracking_IQ: voltage sum ' + ' differs') def test_rf_voltage(self): digit_round = 9 # compute voltage self.cavity_tracker.rf_voltage_calculation() # compute voltage after OTFB pre-tracking self.OTFB_tracker.rf_voltage_calculation() # Since there is a systematic offset between the voltages, # compare the maxium of the ratio max_ratio = np.max(self.cavity_tracker.rf_voltage / self.OTFB_tracker.rf_voltage) max_ratio = max_ratio max_ratio_exp = 1.0008217052569774 self.assertAlmostEqual(max_ratio, max_ratio_exp, places=digit_round, msg='In TestCavityFeedback test_rf_voltage: ' + 'RF-voltages differ') def test_beam_loading(self): digit_round = 9 # Compute voltage with beam loading self.cavity_tracker.rf_voltage_calculation() cavity_tracker_total_voltage = self.cavity_tracker.rf_voltage \ + self.cavity_tracker.totalInducedVoltage.induced_voltage self.OTFB.track() self.OTFB_tracker.rf_voltage_calculation() OTFB_tracker_total_voltage = self.OTFB_tracker.rf_voltage max_ratio = np.max(cavity_tracker_total_voltage / OTFB_tracker_total_voltage) max_ration_exp = 1.0051759770680779 self.assertAlmostEqual(max_ratio, max_ration_exp, places=digit_round, msg='In TestCavityFeedback test_beam_loading: ' + 'total voltages differ') def test_Vsum_IQ(self): rtol = 1e-7 # relative tolerance atol = 0 # absolute tolerance self.OTFB.track() V_sum = self.OTFB.V_sum/1e6 V_sum_exp = np.array([-7.40650823e+01+4497812.99202967j, -7.40650823e+01+4497812.99202967j, -7.40650823e+01+4497812.99202967j, -7.40650823e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650823e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202968j, -7.40650822e+01+4497812.99202967j, -7.40650822e+01+4497812.99202968j, -7.40650822e+01+4497812.99202968j, -7.40650822e+01+4497812.99202968j, -7.40650822e+01+4497812.99202968j, -7.40650822e+01+4497812.99202968j, -7.40650822e+01+4497812.99202968j, -7.40650822e+01+4497812.99202968j, -7.40650822e+01+4497812.99202968j, -7.40650822e+01+4497812.99202968j, -7.40650822e+01+4497812.99202968j, -7.40650822e+01+4497812.99202968j, -7.40650822e+01+4497812.99202968j, -7.40650822e+01+4497812.99202968j, -7.40650822e+01+4497812.99202968j, -7.40650822e+01+4497812.99202968j, -7.40650822e+01+4497812.99202968j, -7.40650822e+01+4497812.99202968j, -7.40650822e+01+4497812.99202968j, -7.40650822e+01+4497812.99202968j, -7.40650822e+01+4497812.99202968j, -7.40650822e+01+4497812.99202968j, -7.40650822e+01+4497812.99202968j, -7.40650822e+01+4497812.99202968j, -7.40650822e+01+4497812.99202968j, -6.02318851e+01+4497817.94162674j, -1.98390915e+01+4497835.4539936j, 1.93158486e+01+4497855.56826354j, 4.37055412e+01+4497871.87009121j, 7.72626261e+01+4497900.35036866j, 1.08879867e+02+4497930.96118169j, 1.36226374e+02+4497965.43834138j, 1.83914308e+02+4498039.43198652j, 2.58060957e+02+4498182.7842137j, 3.46527521e+02+4498400.20917783j, 4.26706222e+02+4498667.15544146j, 4.94661306e+02+4499027.56784064j, 5.43482338e+02+4499582.92538958j, 5.37601327e+02+4500375.11759629j, 4.18116316e+02+4501483.68340875j, 1.06781854e+02+4502992.29896325j, -5.18346745e+02+4504994.88486696j, -1.49458714e+03+4507337.42385509j, -3.01163886e+03+4510119.3419273j, -5.32851179e+03+4513546.45481774j, -8.74569640e+03+4517649.58201841j, -1.36711235e+04+4522515.97696859j, -2.06268308e+04+4528145.57335092j, -3.07188747e+04+4534772.43779405j, -4.42705242e+04+4541938.02912512j, -6.14651616e+04+4548954.45228089j, -8.23300421e+04+4555211.22162217j, -1.09421551e+05+4560368.34346543j, -1.43885886e+05+4563628.1865127j, -1.85808399e+05+4563383.852869j, -2.36208282e+05+4558209.23829535j, -2.94836934e+05+4546270.53281669j, -3.63317854e+05+4525133.07455768j, -4.41779074e+05+4492246.31582297j, -5.28977031e+05+4445197.26263046j, -6.24427353e+05+4380854.18329653j, -7.28570463e+05+4294604.34393273j, -8.41413067e+05+4180725.12037253j, -9.58666802e+05+4036850.21934613j, -1.07489637e+06+3861588.24443417j, -1.18692079e+06+3650150.96222293j, -1.28868132e+06+3402561.33925834j, -1.37503355e+06+3113868.12951949j, -1.44047679e+06+2779413.13521708j, -1.47644078e+06+2402815.35953829j, -1.47522678e+06+1985042.23744602j, -1.42897968e+06+1528424.34271266j, -1.32931255e+06+1034805.30411738j, -1.16912937e+06 + 511261.80102318j, -9.43345126e+05 - 30406.39494472j, -6.44543913e+05 - 585971.64269612j, -2.67898382e+05-1147041.0353738j, 1.87647422e+05-1699739.23544117j, 7.19585769e+05-2229855.79356738j, 1.32653137e+06-2725965.80099238j, 2.00691053e+06-3178849.17084715j, 2.75728744e+06-3578075.86057957j, 3.56230981e+06-3910440.14562456j, 4.40408617e+06-4164575.91355405j, 5.28572695e+06-4338227.19020188j, 6.19719564e+06-4426787.10912655j, 7.11277008e+06-4425807.66220696j, 8.01692653e+06-4335730.38899002j, 8.89765817e+06-4159572.80505286j, 9.74683705e+06-3900763.99853979j, 1.05559999e+07-3564480.67012727j, 1.13018718e+07-3165395.29765105j, 1.19781005e+07-2712267.95526922j, 1.25833208e+07-2214895.26359232j, 1.31112101e+07-1685734.89623327j, 1.35640429e+07-1132761.26804116j, 1.39371556e+07 - 573495.98893318j, 1.42323033e+07 - 19883.35687916j, 1.44559502e+07 + 521811.95451886j, 1.46134106e+07+1043190.45283868j, 1.47105373e+07+1534116.02749795j, 1.47549265e+07+1994083.71851812j, 1.47545428e+07+2416602.70892133j, 1.47166958e+07+2794242.30539414j, 1.46493955e+07+3129779.93382244j, 1.45593030e+07+3424466.23125072j, 1.44539743e+07+3677716.51226699j, 1.43401341e+07+3889644.33404043j, 1.42224899e+07+4064982.31004726j, 1.41063737e+07+4205965.72167177j, 1.39946111e+07+4317244.42689922j, 1.38886184e+07+4403883.23649077j, 1.37894739e+07+4469861.27187975j, 1.36989283e+07+4518194.75268176j, 1.36191316e+07+4551305.81768837j, 1.35495619e+07+4572524.22309931j, 1.34903101e+07+4584597.89085099j, 1.34406305e+07+4589814.4489974j, 1.33976876e+07+4590220.82697034j, 1.33615022e+07+4587255.76269093j, 1.33327026e+07+4582254.09185628j, 1.33096130e+07+4576070.77968165j, 1.32911752e+07+4569436.1321998j, 1.32768524e+07+4562928.08977976j, 1.32656893e+07+4556810.85976046j, 1.32570926e+07+4551309.42853408j, 1.32504722e+07+4546502.73564931j, 1.32453253e+07+4542354.45990368j, 1.32414716e+07+4539159.11692844j, 1.32386032e+07+4536873.63706821j, 1.32362022e+07+4534949.63932622j, 1.32341515e+07+4533397.43716764j, 1.32323621e+07+4532141.64712087j, 1.32307439e+07+4531156.20064611j, 1.32292493e+07+4530633.17835778j, 1.32277994e+07+4530492.96280951j, 1.32263821e+07+4530446.25647796j, 1.32249901e+07+4530405.83108728j, 1.32236081e+07+4530431.11420123j, 1.32222495e+07+4530467.44843446j, 1.32208432e+07+4530611.48233323j, 1.32193886e+07+4530847.10244979j, 1.32179361e+07+4531084.60180009j, 1.32164993e+07+4531317.55923836j, 1.32150516e+07+4531560.32993118j, 1.32135685e+07+4531829.29611484j, 1.32120853e+07+4532098.20168656j, 1.32106022e+07+4532367.04664624j, 1.32091191e+07+4532635.83099376j, 1.32076359e+07+4532904.55472902j, 1.32061675e+07+4533173.93875581j, 1.32046990e+07+4533443.26260922j, 1.32032158e+07+4533711.80494598j, 1.32017326e+07+4533980.28666989j, 1.32002495e+07+4534248.70778084j, 1.31987663e+07+4534517.06827872j, 1.31972831e+07+4534785.36816343j, 1.31957999e+07+4535053.60743485j, 1.31943167e+07+4535321.78609287j, 1.31928335e+07+4535589.90413737j, 1.31913503e+07+4535857.96156826j, 1.31898671e+07+4536125.95838542j, 1.31883839e+07+4536393.89458873j, 1.31869007e+07+4536661.77017809j, 1.31854174e+07+4536929.58515338j, 1.31839342e+07+4537197.33951451j, 1.31824510e+07+4537465.03326134j, 1.31809677e+07+4537732.66639378j, 1.31794845e+07+4538000.23891172j, 1.31780012e+07+4538267.75081504j, 1.31765179e+07+4538535.20210364j, 1.31750347e+07+4538802.5927774j, 1.31735514e+07+4539069.92283622j, 1.31720681e+07+4539337.19227997j, 1.31705848e+07+4539604.40110857j, 1.31691016e+07+4539871.54932188j, 1.31676183e+07+4540138.63691982j, 1.31661350e+07+4540405.66390225j, 1.31646517e+07+4540672.63026908j, 1.31631684e+07+4540939.53602019j, 1.31616850e+07+4541206.38115549j, 1.31602017e+07+4541473.16567484j, 1.31587184e+07+4541739.88957815j, 1.31572351e+07+4542006.55286531j, 1.31557517e+07+4542273.1555362j, 1.31542684e+07+4542539.69759073j, 1.31527850e+07+4542806.17902876j, 1.31513017e+07+4543072.59985021j, 1.31498183e+07+4543338.96005496j, 1.31483350e+07+4543605.2596429j, 1.31468516e+07+4543871.49861392j, 1.31453682e+07+4544137.6769679j, 1.31438848e+07+4544403.79470476j, 1.31424014e+07+4544669.85182436j, 1.31409181e+07+4544935.84832662j, 1.31394347e+07+4545201.7842114j, 1.31379513e+07+4545467.65947862j, 1.31364679e+07+4545733.47412815j, 1.31349844e+07+4545999.22815989j, 1.31335010e+07+4546264.92157373j, 1.31320176e+07+4546530.55436956j, 1.31305342e+07+4546796.12654728j, 1.31290507e+07+4547061.63810677j, 1.31275673e+07+4547327.08904792j, 1.31260839e+07+4547592.47937064j, 1.31246004e+07+4547857.8090748j, 1.31231170e+07+4548123.0781603j, 1.31216335e+07+4548388.28662704j, 1.31201500e+07+4548653.4344749j, 1.31186666e+07+4548918.52170378j, 1.31171831e+07+4549183.54831356j, 1.31156996e+07+4549448.51430414j, 1.31142161e+07+4549713.41967541j, 1.31127326e+07+4549978.26442727j])/1e6 np.testing.assert_allclose(V_sum_exp, V_sum, rtol=rtol, atol=atol, err_msg='In TestCavityFeedback test_Vsum_IQ: total voltage ' + 'is different from expected values!')
ImpedanceTableListRest, frequency_step, RFParams=rf_params, multi_turn_wake=True, front_wake_length=front_wake_length) # PS_longitudinal_intensity = TotalInducedVoltage( # beam, profile, [PS_intensity_freq_10MHz, PS_intensity_freq_Rest, PS_inductive]) PS_longitudinal_intensity = TotalInducedVoltage( beam, profile, [PS_intensity_freq_Rest, PS_inductive]) # RF tracker tracker = RingAndRFTracker(rf_params, beam, interpolation=True, Profile=profile, TotalInducedVoltage=PS_longitudinal_intensity) full_tracker = FullRingAndRF([tracker]) # Beam generation distribution_options = { 'type': 'parabolic_amplitude', 'density_variable': 'Hamiltonian', 'bunch_length': bunch_length } match_beam_from_distribution(beam, full_tracker, ring, distribution_options,
logging.debug("Beam q/m ratio %.3e", profile.Beam.ratio) OTFB = SPSCavityFeedback(rf, beam, profile, G_llrf=5, G_tx=0.5, a_comb=15 / 16, turns=N_pretrack, post_LS2=False, Commissioning=CavityFeedbackCommissioning( debug=True, open_FF=True)) tracker = RingAndRFTracker(rf, beam, CavityFeedback=OTFB, interpolation=True, Profile=profile) if not os.path.exists("fig"): os.mkdir("fig") plot_long_phase_space(ring, rf, beam, 0, 5e-9, -2e8, 2e8, dirname='fig', alpha=0.5,
N_t = 2000 # Number of turns to track dt_plt = int(sys.argv[2]) # Time steps between plots # Simulation setup ------------------------------------------------------------ print("Setting up the simulation...") print("") # Define general parameters ring = Ring(C, alpha, np.linspace(p_i, p_f, N_t + 1), Proton(), N_t) # Define beam and distribution beam = Beam(ring, N_p, N_b) # Define RF station parameters and corresponding tracker rf = RFStation(ring, [h], [V], [dphi]) long_tracker = RingAndRFTracker(rf, beam) bigaussian(ring, rf, beam, tau_0 / 4, reinsertion=True, seed=1) # Need slices for the Gaussian fit # profile = Profile(beam, CutOptions(n_slices=N_p//1000), # FitOptions(fit_option='gaussian')) # Define what to save in file # bunchmonitor = BunchMonitor(ring, rf, beam, # this_directory + '../output_files/EX_01_output_data', Profile=profile) # format_options = {'dirname': this_directory + '../output_files/EX_01_fig'} # plots = Plot(ring, rf, beam, dt_plt, N_t, 0, 0.0001763*h, # -400e6, 400e6, xunit='rad', separatrix_plot=True, # Profile=profile, h5file=this_directory + '../output_files/EX_01_output_data',
n_turns) general_params_res = Ring(C, momentum_compaction, sync_momentum, Proton(), n_turns) RF_sct_par = RFStation(general_params, [harmonic_number], [voltage_program], [phi_offset], n_rf_systems) RF_sct_par_freq = RFStation(general_params_freq, [harmonic_number], [voltage_program], [phi_offset], n_rf_systems) RF_sct_par_res = RFStation(general_params_res, [harmonic_number], [voltage_program], [phi_offset], n_rf_systems) my_beam = Beam(general_params, n_macroparticles, n_particles) my_beam_freq = Beam(general_params_freq, n_macroparticles, n_particles) my_beam_res = Beam(general_params_res, n_macroparticles, n_particles) ring_RF_section = RingAndRFTracker(RF_sct_par, my_beam) ring_RF_section_freq = RingAndRFTracker(RF_sct_par_freq, my_beam_freq) ring_RF_section_res = RingAndRFTracker(RF_sct_par_res, my_beam_res) # DEFINE BEAM------------------------------------------------------------------ bigaussian(general_params, RF_sct_par, my_beam, tau_0 / 4, seed=1) bigaussian(general_params_freq, RF_sct_par_freq, my_beam_freq, tau_0 / 4, seed=1) bigaussian(general_params_res, RF_sct_par_res, my_beam_res, tau_0 / 4, seed=1) number_slices = 2**8 cut_options = CutOptions(cut_left=0,
def setUp(self): C = 2*np.pi*1100.009 # Ring circumference [m] gamma_t = 18.0 # Gamma at transition alpha = 1/gamma_t**2 # Momentum compaction factor p_s = 25.92e9 # Synchronous momentum at injection [eV] h = 4620 # 200 MHz system harmonic phi = 0. # 200 MHz RF phase # With this setting, amplitude in the two four-section, five-section # cavities must converge, respectively, to # 2.0 MV = 4.5 MV * 4/18 * 2 # 2.5 MV = 4.5 MV * 5/18 * 2 V = 4.5e6 # 200 MHz RF voltage N_t = 1 # Number of turns to track self.ring = Ring(C, alpha, p_s, Particle=Proton(), n_turns=N_t) self.rf = RFStation(self.ring, h, V, phi) N_m = 1e6 # Number of macro-particles for tracking N_b = 72*1.0e11 # Bunch intensity [ppb] # Gaussian beam profile self.beam = Beam(self.ring, N_m, N_b) sigma = 1.0e-9 bigaussian(self.ring, self.rf, self.beam, sigma, seed=1234, reinsertion=False) n_shift = 1550 # how many rf-buckets to shift beam self.beam.dt += n_shift * self.rf.t_rf[0, 0] self.profile = Profile( self.beam, CutOptions=CutOptions( cut_left=(n_shift-1.5)*self.rf.t_rf[0, 0], cut_right=(n_shift+2.5)*self.rf.t_rf[0, 0], n_slices=4*64)) self.profile.track() # Cavities l_cav = 43*0.374 v_g = 0.0946 tau = l_cav/(v_g*c)*(1 + v_g) f_cav = 200.222e6 n_cav = 2 # factor 2 because of two four/five-sections cavities short_cavity = TravelingWaveCavity(l_cav**2 * n_cav * 27.1e3 / 8, f_cav, 2*np.pi*tau) shortInducedVoltage = InducedVoltageTime(self.beam, self.profile, [short_cavity]) l_cav = 54*0.374 tau = l_cav/(v_g*c)*(1 + v_g) long_cavity = TravelingWaveCavity(l_cav**2 * n_cav * 27.1e3 / 8, f_cav, 2*np.pi*tau) longInducedVoltage = InducedVoltageTime(self.beam, self.profile, [long_cavity]) self.induced_voltage = TotalInducedVoltage( self.beam, self.profile, [shortInducedVoltage, longInducedVoltage]) self.induced_voltage.induced_voltage_sum() self.cavity_tracker = RingAndRFTracker( self.rf, self.beam, Profile=self.profile, interpolation=True, TotalInducedVoltage=self.induced_voltage) self.OTFB = SPSCavityFeedback( self.rf, self.beam, self.profile, G_llrf=5, G_tx=0.5, a_comb=15/16, turns=50, Commissioning=CavityFeedbackCommissioning()) self.OTFB_tracker = RingAndRFTracker(self.rf, self.beam, Profile=self.profile, TotalInducedVoltage=None, CavityFeedback=self.OTFB, interpolation=True)
mpiprint(" SL a_i = %.4f a_f = %.4f" % (PL.lhc_a[0], PL.lhc_a[n_turns])) mpiprint(" SL t_i = %.4f t_f = %.4f" % (PL.lhc_t[0], PL.lhc_t[n_turns])) # Injecting noise in the cavity, PL on # Define machine impedance from http://impedance.web.cern.ch/impedance/ ZTot = np.loadtxt(os.path.join(inputDir, 'Zlong_Allthemachine_450GeV_B1_LHC_inj_450GeV_B1.dat'), skiprows=1) ZTable = InputTable(ZTot[:, 0], ZTot[:, 1], ZTot[:, 2]) indVoltage = InducedVoltageFreq( beam, profile, [ZTable], frequency_resolution=freq_res) totVoltage = TotalInducedVoltage(beam, profile, [indVoltage]) # TODO add the noiseFB tracker = RingAndRFTracker(rf, beam, BeamFeedback=PL, Profile=profile, interpolation=True, TotalInducedVoltage=totVoltage, solver='simple') # interpolation=True, TotalInducedVoltage=None) mpiprint("PL, SL, and tracker set...") # Fill beam distribution fullring = FullRingAndRF([tracker]) # Juan's fit to LHC profiles: binomial w/ exponent 1.5 # matched_from_distribution_function(beam, fullring, # main_harmonic_option = 'lowest_freq', # distribution_exponent = 1.5, distribution_type='binomial', # bunch_length = 1.1e-9, bunch_length_fit = 'fwhm', # distribution_variable = 'Action') # Initial losses, slicing, statistics beam.losses_separatrix(ring, rf)
def test_SPS_RL(self): PL_gain = 1000 # gain of phase loop rtol = 1e-4 # relative tolerance atol = 0 # absolute tolerance # Phase loop setup phase_loop = BeamFeedback(self.ring, self.rf_station, self.profile, {'machine': 'SPS_RL', 'PL_gain': PL_gain}) # Tracker setup section_tracker = RingAndRFTracker( self.rf_station, self.beam, Profile=self.profile, BeamFeedback=phase_loop, interpolation=False) tracker = FullRingAndRF([section_tracker]) # average beam position beamAvgPos = np.zeros(self.ring.n_turns) n_turns = self.ring.n_turns for turn in range(n_turns): beamAvgPos[turn] = np.mean(self.beam.dt) self.profile.track() tracker.track() # difference between beam position and synchronuous position # (assuming no beam loading) delta_tau = beamAvgPos - (np.pi - self.rf_station.phi_rf[0, :-1])\ / self.rf_station.omega_rf[0, :-1] # initial position for analytic solution init_pos = self.time_offset omega_eff = cmath.sqrt(-PL_gain**2 + 4*self.rf_station.omega_s0[0]**2) time = np.arange(n_turns) * self.ring.t_rev[0] # initial derivative for analytic solution; # defined such that analytical solution at turn 1 agrees with numerical # solution init_slope = 0.5 * (delta_tau[1] * omega_eff * np.exp(0.5*PL_gain*time[1]) / np.sin(0.5*omega_eff*time[1]) - delta_tau[0] * (PL_gain+omega_eff/np.tan(0.5*omega_eff*time[1]))).real delta_tau_analytic = init_pos * np.exp(-0.5*PL_gain*time) delta_tau_analytic *= np.cos(0.5*time*omega_eff).real\ + (PL_gain+2*init_slope/init_pos)\ * (np.sin(0.5*time*omega_eff)/omega_eff).real difference = delta_tau - delta_tau_analytic # normalize result difference = difference / np.max(difference) # expected difference difference_exp = np.array([ -1.56306635e-05, -1.55605315e-05, -2.10224435e-05, -3.18525050e-05, -4.74014489e-05, -6.70584402e-05, -9.01307422e-05, -1.15823959e-04, -1.43290487e-04, -1.71572162e-04, -1.99820151e-04, -2.27071730e-04, -2.52331681e-04, -2.74668126e-04, -2.93165304e-04, -3.06972913e-04, -3.15442474e-04, -3.17857324e-04, -3.13794970e-04, -3.02786089e-04, -2.84680298e-04, -2.59322215e-04, -2.26874004e-04, -1.87452375e-04, -1.41293604e-04, -8.89863575e-05, -3.08865701e-05, 3.22411495e-05, 9.97408029e-05, 1.70914181e-04, 2.44766912e-04, 3.20596833e-04, 3.97403451e-04, 4.74233283e-04, 5.50189125e-04, 6.24368453e-04, 6.95836553e-04, 7.63737143e-04, 8.27069057e-04, 8.84995559e-04, 9.36770723e-04, 9.81561780e-04, 1.01869959e-03, 1.04738842e-03, 1.06711062e-03, 1.07736961e-03, 1.07778386e-03, 1.06805613e-03, 1.04797776e-03, 1.01747638e-03, 9.76519221e-04, 9.25420191e-04, 8.64415092e-04, 7.93844624e-04, 7.14396030e-04, 6.26549187e-04, 5.31154439e-04, 4.28985322e-04, 3.21198916e-04, 2.08550190e-04, 9.21607082e-05, -2.68249728e-05, -1.47278123e-04, -2.67890543e-04, -3.87642210e-04, -5.05244473e-04, -6.19660328e-04, -7.29670300e-04, -8.34272846e-04, -9.32388033e-04, -1.02301036e-03, -1.10520861e-03, -1.17824066e-03, -1.24119243e-03, -1.29350096e-03, -1.33458128e-03, -1.36388379e-03, -1.38105465e-03, -1.38595634e-03, -1.37832214e-03, -1.35829791e-03, -1.32588558e-03, -1.28146000e-03, -1.22518721e-03, -1.15769141e-03, -1.07943574e-03, -9.91143310e-04, -8.93671637e-04, -7.87961546e-04, -6.74866999e-04, -5.55444011e-04, -4.30919368e-04, -3.02270469e-04, -1.70824836e-04, -3.77396109e-05, 9.56816273e-05, 2.28299979e-04, 3.58842001e-04, 4.86074690e-04, 6.08875045e-04, 7.26090501e-04, 8.36677390e-04, 9.39639556e-04, 1.03407702e-03, 1.11906014e-03, 1.19386315e-03, 1.25779004e-03, 1.31037519e-03, 1.35108872e-03, 1.37958003e-03, 1.39570542e-03, 1.39927441e-03, 1.39033118e-03, 1.36892681e-03, 1.33533475e-03, 1.28987173e-03, 1.23311389e-03, 1.16551418e-03, 1.08773037e-03, 1.00059786e-03, 9.04879918e-04, 8.01551710e-04, 6.91575582e-04, 5.75952750e-04, 4.55756793e-04, 3.32302985e-04, 2.06487043e-04, 7.95882588e-05, -4.72208138e-05, -1.72823958e-04, -2.96101535e-04, -4.15925168e-04, -5.31250383e-04, -6.41017819e-04, -7.44349685e-04, -8.40276057e-04, -9.28032591e-04, -1.00688055e-03, -1.07610640e-03, -1.13518206e-03, -1.18370702e-03, -1.22129557e-03, -1.24764964e-03, -1.26264035e-03, -1.26627364e-03, -1.25857717e-03, -1.23964021e-03, -1.20980891e-03, -1.16944284e-03, -1.11887385e-03, -1.05870668e-03, -9.89617769e-04, -9.12311681e-04, -8.27560752e-04, -7.36170045e-04, -6.39042153e-04, -5.37114997e-04, -4.31247869e-04, -3.22637131e-04, -2.12194968e-04, -1.00869243e-04, 1.03136916e-05, 1.20241207e-04, 2.27979265e-04, 3.32675130e-04, 4.33323979e-04, 5.29105666e-04, 6.19142445e-04, 7.02728753e-04, 7.79114404e-04, 8.47787258e-04, 9.08216047e-04, 9.59821724e-04, 1.00228122e-03, 1.03538392e-03, 1.05880009e-03, 1.07260841e-03, 1.07662550e-03, 1.07093155e-03, 1.05577003e-03, 1.03129797e-03, 9.97904596e-04, 9.55975595e-04, 9.05955028e-04, 8.48396342e-04, 7.83925297e-04, 7.13242537e-04, 6.36896396e-04, 5.55809454e-04, 4.70697276e-04, 3.82464668e-04, 2.91766220e-04, 1.99564879e-04, 1.06707654e-04, 1.40463177e-05, -7.76333806e-05, -1.67470574e-04, -2.54708122e-04, -3.38623857e-04, -4.18484684e-04]) difference_exp = difference_exp/np.max(difference_exp) np.testing.assert_allclose(difference_exp, difference, rtol=rtol, atol=atol, err_msg='In TestBeamFeedback test_SPS_RL: difference between simulated and analytic result different than expected')
# Define RF station parameters and corresponding tracker beam = Beam(general_params, N_p, N_b) rf_params_1 = RFStation(general_params, [h], [V1], [dphi], section_index=1) long_tracker_1 = RingAndRFTracker(rf_params_1, beam) rf_params_2 = RFStation(general_params, [h], [V2], [dphi], section_index=2) long_tracker_2 = RingAndRFTracker(rf_params_2, beam) # Define full voltage over one turn and a corresponding "overall" set of #parameters, which is used for the separatrix (in plotting and losses) Vtot = total_voltage([rf_params_1, rf_params_2]) rf_params_tot = RFStation(general_params, [h], [Vtot], [dphi]) beam_dummy = Beam(general_params, 1, N_b) long_tracker_tot = RingAndRFTracker(rf_params_tot, beam_dummy) print("General and RF parameters set...") # Define beam and distribution bigaussian(general_params, rf_params_tot, beam, tau_0/4, reinsertion = 'on', seed=1) print("Beam set and distribution generated...") # Need slices for the Gaussian fit; slice for the first plot slice_beam = Profile(beam, CutOptions(n_slices=100), FitOptions(fit_option='gaussian'))