siesta for virgo locking experience l. barsotti university of pisa – infn pisa on behalf of the...
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![Page 1: SIESTA for Virgo locking experience L. Barsotti University of Pisa – INFN Pisa on behalf of the Virgo Locking Group Cascina, March 16th 2004 Simulation](https://reader036.vdocuments.site/reader036/viewer/2022081508/56649d795503460f94a5cbde/html5/thumbnails/1.jpg)
SIESTA for Virgo locking experience
L. BarsottiUniversity of Pisa – INFN Pisa
on behalf of the
Virgo Locking Group
Cascina, March 16th 2004 Simulation Workshop
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OutlinesOutlines
Commissioning of the first 3–km cavity
Recombined mode
Full Virgo
Other activities in parallel
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North Cavity Optical SchemeNorth Cavity Optical Scheme
B1p
T=8%
T=50 ppmT=12%
6 W
B5
B7
PR, WI, WE mirrors misalignedWE
WI
NENIBS
PR
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Commissioning of the North CavityCommissioning of the North Cavity
Feedback characterization:
• optical gain
• open loop transfer function
Analysis of the lock algorithm efficiency
• linearized error signal
• no linearized error signal
Comparison with real data (C1, C2 runs)
Real suspensions, real actuators, real photodiodes, computational delays included in the simulation
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North Cavity Control SchemeNorth Cavity Control Scheme
B1pT=8%
B7
NENIBSPR
Hz
| Gain
|
frequency
B7_DCB1p_demod
Lock Acquisition
Linearized error signal:
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1/m 102.4 8Optical Gain:Optical Gain: Measured
Simulated
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Transfer Function Open LoopTransfer Function Open Loop
simulatedmeasured
Gain
Phase
M
G
zErrzCorr
noise
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Lock Algorithm Efficiency Lock Algorithm Efficiency
Lock almost always acquired at the first trial
C1 run data : Several lock events collected locking and delocking the cavity
linearized error signal
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Lock Algorithm Efficiency Lock Algorithm Efficiency
Failed locking attempt v ~ 12.5
m/s
8 m/s: maximum velocity
for the lock acquisition
success
10
33
m
Fv
λαBv
BΔt
MAXMAX
MAX
2
2
1
sμm
sμm
Constraints on the velocity according to the theory:
Gain due to the linearization:
~ 10
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Lock Algorithm EfficiencyLock Algorithm Efficiency
With velocity lower than 10 m/s lock at the first attempt
With velocity higher than 10 m/s lock at the second attempt
Lock failed
Sweep at 12 m/s :
Lock event
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Lock Algorithm Efficiency Lock Algorithm Efficiency
Failed locking attempts
not linearized error signalC1 data
Simulation
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SIESTA link to real time controlSIESTA link to real time control
SIESTA
Control signalsPhotodiodes signals
Algorithms running in the global control
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SIESTA link to real time controlSIESTA link to real time control
Control signalsPhotodiodes signals
Algorithms running in the global control
VIRGO
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Recombined Optical SchemeRecombined Optical Scheme
B1
T=8% B5
B7
B8
B2
WE
NENI
WI
BSPR
PR mirror misaligned
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Recombined modeRecombined mode
2 Steps locking strategy:
•sensing matrix
•procedure to find experimentally the algorithm parameters from simple optical systems
3 Steps locking strategy
•sensitivity curve
•comparison with real data
Linear locking
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Reconbined Reconbined 2 Steps2 Steps Control Scheme Control Scheme
B1
B5
B7
B8
B2
north cavity controlled with B5
west cavity and michelson controlled at
the sime time
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hLength_mic
tLength_wes
B2_quad
B1p_quad
10
2π1
Theorical optical matrix:
hLength_mic
tLength_wes
B2_quad
B1p_quad
10.08
0.041
Optical matrix measured by Siesta:
Michelson and West cavity controlled with the symmetric (B2_quad) and the antysimmetric signal (B1p_quad)
Sensing matrix
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Locking simulation – North cavity
Locking
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Locking simulation – Mich & WestPowers Lengths
Triggers
Corrections
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B7_demod
B1p_demod
B2
North arm
West arm
B5
B8_demod
switch from B1p to B1 after the lock acquisition
Recombined Recombined 3Steps 3Steps Control SchemeControl Scheme
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Lock acquisition -Lock acquisition - simulationsimulation
“Simple” simulation:
real suspensions and actuators
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Lock acquisition -Lock acquisition - simulationsimulation
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First lock acquisition27th February
Locking event At 3.25 am
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Sensitivity - Sensitivity - simulationsimulation
Improvement:
real photodiodes (electronic noise, shot noise)
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SensitivitySensitivity
Simulated
Measured
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Switch to the linear locking state
west
nord
mich
4.3e34.3e31.8e2
2.6e42.6e40
10384
d1p_quad
d2_phase
d2_quad
Optical matrix:
d2_quad
d2_phase
d1p_quad
MICH
CARM
DARM
d1p_quad
d2_phase
d2_quad
4-1.16e5-1.9e0
4-1.16e-5-1.9e0
002-1.19e
west
nord
mich
Inverse optical matrix:
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⊗
B1p_quadB2_quad
North arm
West arm
B2_phase
Linear Locking Linear Locking Control SchemeControl Scheme
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Linear lock of the recombined
Simulation
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Full Virgo Optical SchemeFull Virgo Optical Scheme
B1
B5
B7
B8
B2
WE
NENI
WI
BSPR
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Multi–states approach (LIGO scheme)
Dynamical inversion of the optical matrix
Lock acquisition of full Virgo Lock acquisition of full Virgo
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Lock acquisition of full VirgoLock acquisition of full Virgo
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Something more…Something more…
Modal simulationModal simulation
Longitudinal local control optimizationLongitudinal local control optimization
Spikes removalSpikes removal
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Modal simulation
High order modes (n + m ≤ 5 )
• compromise with the computational time 1 sec @ 20
kHz ⇒ 45 sec
Check with other codes in progress
0.113
misalignment of 2 rad in y of the curve mirror
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Something more…Something more…
Modal simulationModal simulation
Longitudinal local control optimizationLongitudinal local control optimization
Spikes removalSpikes removal
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Optimization of the z damping loop – I
10 sec
zCorr zMirrorm
Hz
Unity gain @ 0.65 Hz
measured
Open loop transfer function
Damping time sec
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Optimization of the z damping loop – II
simulated
Open loop transfer function
Critical damping @
1.45 Hz
Hz
mV
zCorr zMirror
2 sec
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Optimization of the z damping loop – III
measured after the optimization
mV
~ 2 sec
zCorr zMirror
Guadagno open loop
Hz
Critical damping @
1.45 Hz
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Something more…Something more…
Modal simulationModal simulation
Longitudinal local control optimizationLongitudinal local control optimization
Spikes removalSpikes removal
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Spikes removal Spikes removal
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Spikes removalSpikes removal
Rearrange the algo:
Error signal derivative window integrator window
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Other activity: Hierarchical controlHierarchical control
marionetta
reference mass
mirror
z
Control from the reference mass
Control from the marionetta
Transfer function betweeen force on steering filter and z movement of the
mirror
preliminary results
wwwcascina.virgo.infn.it/collmeetings/presentations/Mar2004/Fiori_11Mar04_MarioLockSim.ppt
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ConclusionsConclusions
Siesta: fundamental tool for locking studies
Link to the real time control system
Work in parallel with other groups to improve the simulation (suspensions, alignment)
Noise analysis