MD3311 Simulation Results Joschua Dilly 28.01.2019 MD3311 Simulation Results 2
Introduction Measurement Results Simulation Results Conclusion 28.01.2019 MD3311 Simulation Results 3
Introduction 28.01.2019 MD3311 Simulation Results 4
The Story so far • Amplitude Detuning present in flat orbit measurements during commissioning 2016. • Corrected octuploes in the IRs for commissioning 2017. • Amplitude Detuning present during commissioning 2018 when crossing scheme applied. • MD3311 (June 2018) • Investigation of different error sources via simulations (Now) 28.01.2019 MD3311 Simulation Results 5
Simulation Parameters • Replicating IP5 crossing as close to MD3311 as possible • 160 ➭ rad X’ing angle • .55 mm Separation • -1.8 mm Offset • IP1 crossing same as IP5 but without offset. • Setting A5, A6, B4, B5, B6 errors separately and A5,A6,B5,B6 together. • WISE error models, averaged over 60 seeds. • Calculating detuning values via PTC at different stages: • nominal: Without any errors • errors arc: Applied errors in the arcs ( M[B,Q] ) • errors mqx: + errors in the MQX ( MQX ) • errors mb ip: + errors in the MB of the IP ( MB[XW,RC,X,RB,RS,W] ) • errors all: + remaining MQ-errors ( MQ[Y,M,MC,ML,TL,W] ) • corrected: After Triplet and D1,D2 Correction (via MQX, MBX, MBRC) 28.01.2019 MD3311 Simulation Results 6
Measurement Results 28.01.2019 MD3311 Simulation Results 7
Measurements Beam 1 0.0016 ± 0.0011 B1 H-Kicks Flat-Orbit 0.0103 ± 0.0009 B1 H-Kicks Flat-Orbit 0.1122 ± 0.0113 B1 H-Kicks IP5 X'ing 0.0088 ± 0.0151 B1 H-Kicks IP5 X'ing 0.0646 ± 0.0024 B1 H-Kicks Full X'ing 0.0065 ± 0.0025 B1 H-Kicks Full X'ing 3 3 ×10 ×10 1.00 1.00 0.50 0.50 Q x Q y 0.00 0.00 0.50 0.50 1.00 1.00 0 2 4 6 8 10 12 14 16 0 2 4 6 8 10 12 14 16 2 J x [ m ] ×10 3 2 J x [ m ] ×10 3 0.0081 ± 0.0278 B1 V-Kicks Flat-Orbit 0.0062 ± 0.0028 B1 V-Kicks Flat-Orbit 0.1081 ± 0.0236 B1 V-Kicks IP5 X'ing 0.0060 ± 0.0031 B1 V-Kicks IP5 X'ing ×10 3 ×10 3 1.00 1.00 0.50 0.50 Q x Q y 0.00 0.00 0.50 0.50 1.00 1.00 0 2 4 6 8 10 12 14 16 0 2 4 6 8 10 12 14 16 2 J y [ m ] ×10 3 2 J y [ m ] ×10 3 • Strong detuning in ∂ Q x ∂ 2 J x with IP5 crossing, less with full. • Small/No detuning in ∂ Q y • Crossterms not quite clear. ∂ 2 J y . 28.01.2019 MD3311 Simulation Results 8
Measurements Beam 2 0.0149 ± 0.0011 B2 H-Kicks Flat-Orbit 0.0076 ± 0.0025 B2 H-Kicks Flat-Orbit 0.0032 ± 0.0010 B2 H-Kicks IP5 X'ing 0.0041 ± 0.0014 B2 H-Kicks IP5 X'ing ×10 3 ×10 3 1.00 1.00 0.50 0.50 Q x Q y 0.00 0.00 0.50 0.50 1.00 1.00 0 2 4 6 8 10 12 14 16 0 2 4 6 8 10 12 14 16 2 J x [ m ] ×10 3 2 J x [ m ] ×10 3 0.0024 ± 0.0012 B2 V-Kicks Flat-Orbit 0.0124 ± 0.0015 B2 V-Kicks Flat-Orbit 0.0038 ± 0.0026 B2 V-Kicks IP5 X'ing 0.0252 ± 0.0024 B2 V-Kicks IP5 X'ing ×10 3 ×10 3 1.00 1.00 0.50 0.50 Q x Q y 0.00 0.00 0.50 0.50 1.00 1.00 0 2 4 6 8 10 12 14 16 0 2 4 6 8 10 12 14 16 2 J y [ m ] ×10 3 2 J y [ m ] ×10 3 • X’ing On: Small detuning in ∂ Q y ∂ 2 J y ∂ 2 J x , positive in ∂ Q y • X’ing Off: Small detunings; negative in ∂ Q x ∂ 2 J y . 28.01.2019 MD3311 Simulation Results 9
Simulation Results 28.01.2019 MD3311 Simulation Results 10
A5 Errors Flat-Orbit IP5 X'ing IP1 X'ing IP1 & IP5 X'ing 20000 10000 Beam 1 ANHX1000 ANHY0100 ANHX0100 0 10000 20000 l c x p l d l c x p l d l c x p l d a r q l a r q i a l e a r q i a l e n a i a e n a n a m b t m b s t m b s t i s c m i s m c m i s m c m s m r e r e r e r s o r s o r s o o o r r o o r s r r o o r s r r n o s r r n r o r r n r o r r r r r o r r o r r o r r o e e r o e c e r o e c e r c r r r r e r e r e r r e e e 20000 10000 Beam 2 ANHX1000 ANHX0100 ANHY0100 0 10000 20000 l c x p l d l c x p l d a l c x p l l d a l a l r q i a e r q i a e r q i a e n a n a m b t n a m b t m b s t i s i s m i s m c m s m r c m s m r c r e r s e r s e r s o o o o r o o o r o o r s r r r s r r r s r r n r o r r n r o r r o n r o r r o r r o r r o e r r o e e r o e c e r c e r c r r e r e r e r r r e e e 28.01.2019 MD3311 Simulation Results 11
A6 Errors Flat-Orbit IP5 X'ing IP1 X'ing IP1 & IP5 X'ing 30000 20000 10000 0 Beam 1 ANHX1000 ANHY0100 ANHX0100 10000 20000 30000 40000 50000 60000 l c x p l d a l c x p l l d a l c x p l l d a r q l r q i a e r q i a e n a i a e n a n a m b t m b s t m b s t i s c m i s m c m i s m c m s m r e r e r e r s o r s o r s o o o r r o o r s r r o o r s r r n o s r r n r o r r n r o r r r r r o r r e o r r e o r r o e e r o c e r o c e r c r r r r e r e r e r r e e e 30000 20000 10000 Beam 2 0 ANHX0100 ANHX1000 ANHY0100 10000 20000 30000 40000 50000 60000 l c x p l d l c x p l d a l c x p l l d a l a l r q i a e r q i a e r q i a e n a n a m b t n a m b t i m b s t i s c i s c m s m c m s m r m s m r r e r s e r s e r s o o o o r o o o r o o r s r r r s r r r s r r n r o r r n r o r r o n r o r r o r r o r r o e r r o e e r o e c e r c e r c r r e r e r e r r r e e e • 28.01.2019 MD3311 Simulation Results 12
B4 Errors Flat-Orbit IP5 X'ing IP1 X'ing IP1 & IP5 X'ing 150000 100000 50000 Beam 1 ANHX1000 ANHY0100 ANHX0100 0 50000 100000 150000 l c x p l d a l c x p l l d a l c x p l l d a r q l r q i a e r q i a e n a i a e n a n a m b t m b s t m b s t i s c m i s m c m i s m c m s m r e r e r e r s o r s o r s o o o r r o o r s r r o o r s r r n o s r r n r o r r n r o r r r r r o r r e o r r e o r r o e e r o c e r o c e r c r r r r e r e r e r r e e e 150000 100000 Beam 2 50000 ANHX1000 ANHX0100 ANHY0100 0 50000 100000 150000 l c x p l d l c x p l d a l c x p l l d a l a l r q i a e r q i a e r q i a e n a n a m b t n a m b t i m b s t i s c i s c m s m c m s m r m s m r r e r s e r s e r s o o o o r o o o r o o r s r r r s r r r s r r n r o r r n r o r r o n r o r r o r r o r r o e r r o e e r o e c e r c e r c r r e r e r e r r r e e e • 28.01.2019 MD3311 Simulation Results 13
B5 Errors Flat-Orbit IP5 X'ing IP1 X'ing IP1 & IP5 X'ing 60000 40000 Beam 1 ANHX1000 ANHY0100 ANHX0100 20000 0 20000 40000 l c x p l d a l c x p l l d a l c x p l l d a r q l r q i a e r q i a e n a i a e n a n a m b t m b s t m b s t i s c m i s m c m i s m c m s m r e r e r e r s o r s o r s o o o r r o o r s r r o o r s r r n o s r r n r o r r n r o r r r r r o r r e o r r e o r r o e e r o c e r o c e r c r r r r e r e r e r r e e e 60000 40000 Beam 2 ANHX1000 ANHX0100 ANHY0100 20000 0 20000 40000 l c x p l d l c x p l d a l c x p l l d a l a l r q i a e r q i a e r q i a e n a n a m b t n a m b t i m b s t i s c i s c m s m c m s m r m s m r r e r s e r s e r s o o o o r o o o r o o r s r r r s r r r s r r n r o r r n r o r r o n r o r r o r r o r r o e r r o e e r o e c e r c e r c r r e r e r e r r r e e e • 28.01.2019 MD3311 Simulation Results 14
B6 Errors Flat-Orbit IP5 X'ing IP1 X'ing IP1 & IP5 X'ing 60000 40000 20000 Beam 1 ANHX1000 ANHY0100 ANHX0100 0 20000 40000 60000 80000 100000 l c x p l d a l c x p l l d a l c x p l l d a r q l r q i a e r q i a e n a i a e n a n a m b t m b s t m b s t i s c m i s m c m i s m c m s m r e r e r e r s o r s o r s o o o r r o o r s r r o o r s r r n o s r r n r o r r n r o r r r r r o r r e o r r e o r r o e e r o c e r o c e r c r r r r e r e r e r r e e e 60000 40000 20000 Beam 2 ANHX1000 ANHX0100 ANHY0100 0 20000 40000 60000 80000 100000 l c x p l d l c x p l d a l c x p l l d a l a l r q i a e r q i a e r q i a e n a n a m b t n a m b t i m b s t i s c i s c m s m c m s m r m s m r r e r s e r s e r s o o o o r o o o r o o r s r r r s r r r s r r n r o r r n r o r r o n r o r r o r r o r r o e r r o e e r o e c e r c e r c r r e r e r e r r r e e e • 28.01.2019 MD3311 Simulation Results 15
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