Fast Orbit Feedback (FOFB) at Diamond
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1 Fast Orbit Feedback (FOFB) at Diamond Guenther Rehm, Head of Diagnostics Group 29/06/2007 FOFB at Diamond 1
2 Ground, Girder and Beam Motion 29/06/2007 FOFB at Diamond 2
3 Fast Feedback Design Philosophy Low latency: Ensures high bandwidth for feedback, good suppression Major contribution to latency should be unavoidable group delays of filters Robust: FOFB has to perform with components failed Try to avoid single point of failure Accessible for maintenance / development: Have only what is necessary inside the FPGA Implement feedback algorithm on PowerPC boards Truly global: No slow orbit feedback to run in parallel RF frequency correction also to be calculated 29/06/2007 FOFB at Diamond 3
4 Measurement Resolution Type Application Rate BW RMS X RMS Y Slow Acq. Slow orbit feedback, response matrix measurement 10 Hz 4 Hz 45 nm 45 nm Fast Acq. Fast orbit feedback 10 khz 2 khz 140 nm 190 nm Turn-by-turn Tune measurement, betatron amplitude and phase 534 khz 267 khz 1.5 µm 3 µm All values are typical for RMS of samples in lab tests 29/06/2007 FOFB at Diamond 4
5 FOFB Overview Libera EBPM produces FA data S/s (2 khz 3dB bandwidth) RocketIO on Libera sends and forwards data at 2.12 Gbit/s using in house developed Communication Controller Communication is broadcast, no routing information PMC card with RocketIO receives data and transfers via DMA to CPU memory Dedicated CPU board (1GHz PowerPC MVME5500) performs matrix multiplication and feedback controller Resulting corrector PS values are written through VME into PS controller 29/06/2007 FOFB at Diamond 5
6 Fast Orbit Feedback Controls Network Event Network PS VME crate Diagnostics VME crate Processor PSU IF PSU IF FB Processor PMC Rocket IO Processor Event Rx PSU 1 PSU Corrector PSUs Cell -n Cell -m ebpm ebpm ebpm ebpm ebpm ebpm ebpm Cell +n Cell +m 29/06/2007 FOFB at Diamond 6
7 FOFB Installation (one of 24 cells) Corrector power supplies Power supply VME crate Diagnostics rack 29/06/2007 FOFB at Diamond 7
8 FOFB connections SC/MC/Trigger/PM fan out Galvanic SFP connections Multi mode fibre to PS rack Single mode fibre to other CIAs 29/06/2007 FOFB at Diamond 8
9 PMC interface to FOFB network 29/06/2007 FOFB at Diamond 9
10 Global Connections of FOFB 29/06/2007 FOFB at Diamond 10
11 FOFB Latencies / Bandwidth Group delay of FIR: 148 µs Group delay of 2 IIR: <71 µs Distribution of data around ring: 50 µs DMA transfer to CPU: 49 µs Conversion integer to float : 5 µs Matrix multiplication 2*7*168: 4 µs PID controller: 1 µs Write into PS controller: 3 µs Total: <331 µs Magnet/chamber estimated to have 500 Hz BW Bandwidth of PS controller currently limits loop (set to 100Hz, but programmable) calculated measured 29/06/2007 FOFB at Diamond 11
12 FOFB Performance 60mA Suppression of beam motion 29/06/2007 FOFB at Diamond 12
13 FOFB Suppression 29/06/2007 FOFB at Diamond 13
14 FOFB Performance on XBPM 29/06/2007 FOFB at Diamond 14
15 FOFB vs SOFB Orbit RMS 10um SOFB not fast enough to correct distortions introduced by ID movement, RMS orbit sometimes > 5um 1um 100nm With FOFB on RMS orbit stays <50nm 10nm 29/06/2007 FOFB at Diamond 15
16 Integrated position noise 125mA, 2/3 fill, lab test 29/06/2007 FOFB at Diamond 16
17 Libera Tuning Libera is a complex system with many clocks interacting Clocks and ratios can be adjusted or routed from different sources Some things can be done purely in software (e.g. FIR and IIR filters in FA data processing), others require FPGA changes (e.g. sync switching with external MC) Instrumentation Technologies take experience and solutions from Diamond on board, if slowly 29/06/2007 FOFB at Diamond 17
18 FIR filter improvement FA Nyquist frequency FA sampling frequency 29/06/2007 FOFB at Diamond 18
19 Total filter response (FIR+IIRs) 29/06/2007 FOFB at Diamond 19
20 Switch Delay Optimisation 29/06/2007 FOFB at Diamond 20
21 BCD and? on XBPMs 29/06/2007 FOFB at Diamond 21
22 BCD with real beam Measured on 48 primary EBPMs 29/06/2007 FOFB at Diamond 22
23 BCD with phase shift of one input Measured on one BPM in the lab (46 (35 db attenuation) 29/06/2007 FOFB at Diamond 23
24 Cable Length Differences the only two EBPMs with cable lengths equal to within 20 mm 29/06/2007 FOFB at Diamond 24
25 Synchronisation of FA data All Liberas have to produce FA data synchronously As FA is decimated from sample clock, all sample clocks need to be same frequency and decimation needs to be aligned Sample clocks are locked to externally supplied revolution clock using software daemon (lmtd) Synchronisation is achieved by announcing through control interface and supply a single start trigger on trigger input. Same method is used to start output (and time frame counter) of FA data on fast network synchronously 29/06/2007 FOFB at Diamond 25
26 Python Synchronisation Script commands to all 24 event receivers commands to all 168 EBPMs 29/06/2007 FOFB at Diamond 26
27 Starting and Stopping FOFB Calculations run distributed on 24 CPUs Synchronous starting / stopping is essential as otherwise correction is applied on part of correctors for some time All feedback CPUs communicate status (stopped, ready, running) through fast network When all are ready, feedback starts on next cycle When any is stopped, all stop on next cycle Stopping can be caused by: command out of limits for total corrector current out of limits for corrector current step (around 2 s average) out of limits for beam position 29/06/2007 FOFB at Diamond 27
28 Calculating a Pseudo Inverse Response Matrix In principle, Diamond has 168 EBPMs and 168 correctors each plane, so decoupled response matrices are 168x168 Square matrices could be directly inverted However, system should also work with fewer EBPMs or correctors Use singular value decomposition for pseudo inversion Orbit motion can then be transformed into mode space 29/06/2007 FOFB at Diamond 28
29 Response Matrix Eigen Values Condition number /06/2007 FOFB at Diamond 29
30 Orbit Motion in Mode Space 29/06/2007 FOFB at Diamond 30
31 Inversion and Conditioning Invert and Tikhonov Limit Inversion at regularization mode 72 X mode 48 Y σ n = σ σ 2 +1 n n 29/06/2007 FOFB at Diamond 31
32 Summary Libera integrates well into a FOFB system Communication Controller performs reliably and without additional hardware Feedback calculations on CPU have been relatively easy to commission Effective suppression of orbit motion demonstrated Running in user mode since 22 July 29/06/2007 FOFB at Diamond 32
33 Acknowledgements Diagnostics: Alun Morgan, Graham Cook Controls: Michael Abbott, Isa Uzun, James Rowland, Mark Heron Accelerator Physics: Ian Martin, Riccardo Bartolini External: Stephen Duncan (OU), Andrej Terebilo (SLAC), Leo Breuss (SCS) 29/06/2007 FOFB at Diamond 33
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