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Introducing a new thermal model and gravity parameters for improved focus and pointing accuracy. Utilizing 19 temperature sensors, with focus performance under 3mm and elevation performance under 3”. Key algorithms tested and robust against feed arm influence.
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Thermal Focus and Pointing Corrections K. Constantikes
Status • New thermal model, new gravity model parameters • Uses 19 structural temperature sensors • Linear thermal, tradional gravity • Focus peformance ~< 3 mm (excludes midday) during ~30 mm thermal focus shift • Elevation performance ~<3” 1s , <1”/hour (excludes midday) during ~ 30” thermal pointing shift • Azimuth performance ~<3” 1s , <1”/hour (excludes midday) • Unanticipated dominance of horizontal feed arm influence • PTCS/PN/25 “Thermally-Neutral Traditional Pointing Models and Thermal Corrections to Pointing and Focus” • Test of real-time focus corrections (Balser and Prestage,11/20/03)
Structural Temperature • 19 locations, 0.2C interchangeable accuracy, 0.01C resolution, 1Hz, range –35 to 40C. (actual accuracy is ~0.1C, temp control of conversion elex) • Design documentation: • PTCS Wiki (AntennaInstrumentation) • PTCS Project Note PTCS/PN12 • Accuracy tested in lab: • Solar/convective loading • Selected unit-to-unit accuracy, repeatability • Electronics temperature range • RFI mitigated, ESD protected • Two thermistor failures, forensics with YSI • Integrated into M&C • First cut pointing, focus predictive algorithms tested
Algorithms • Use existing GBT gravity pointing and focus models • Structure is linear: Thermal effects superpose • Temperature effect on focus, pointing assumed linear in temperatures • No dependence on air or bulk temps, just differences • Simultaneously estimate gravity and temperature model coefs • Estimate coefs using 9/11, 10/2, 11/10 data • Test models using 9/5, 11/20 data
Term Coefficient Min-Max Significance Parameter M1 1.086 13.1 14.3 SR-Pri M2 -0.697 6.2 -4.3 VFA-Pri M3 3.981 15.6 62.0 HFA M4 -7.326 0.9 -6.8 BUS V1 M5 -0.688 12.1 -8.3 BUS V2 M6 -2.576 12.1 -31.2 BUS F M7 -180.630 0.0 0.0 Offset M8 66.189 .7 43.1 sin term M9 196.949 0.6 110.8 cos term Focus Model
Focus Model Tests • Wind < 2.5 m/s • 15° < elevation < 85° • 9/5 is NCP • 11/20 is all-sky • Excludes 1000-1800 • Graphs show thermal contributions only
Term Coefficient Min-Max Significance Parameter M1 -4.6455 1.2 -5.3 BUS M2 1.7830 15.6 -27.8 HFA M3 4.4488 5.9 26.4 VFA M4 -8.4477 1.6 -14.0 Alidade M5 62.2218 0.0 +0.000 -IE,d(0,0) M6 -55.8624 0.7 -62.792 HZCZ,b(0,1) M7 -22.8268 0.9 -38.216 HZSZ,d(0,1) M8 2.4960 2.0 +2.169 -AW,c(1,0) M9 -1.3360 2.0 -1.750 AN,d(1,0) Elevation Model
Elevation Model Estimation s = 3.6
Term Coefficient Min-Max Significance Parameter M1 5.5862 4.0 22.4 Alidade M2 -8.0331 2.7 21.3 HFA M3 -1.6289 2.4 3.8 BUS M4 1.3683 2.0 2.8 VFA M5 3.4124 0.0 0.0 CA, d(0,0) M6 1.3223 0.7 1.0 NPAE, b(0,1) M7 3.5152 0.9 3.0 IA, d(0,1) M8 -2.4960 1.9 4.8 AW, b(1,1) M9 -1.3360 1.8 2.5 AN, a(1,1) Azimuth Model
Azimuth Model Estimation s = 3.9
Why does it work? • Didn’t for 140’ (von Hoerner), why should GBT? • Thermal diffusivity? • Time constants? • Characteristic length of perturbations? • Surface area of structural supports? • Better temperature measurement technology ! • Better homology?
Conclusions • Focus and elevation greatly improved with thermally-neutral traditional model and temperature corrections • Azimuth performance improvement marginal (but it’s already pretty good) • Use of thermal imaging to improve locations • Add sensors to HFA, BUS • Work on graceful degradations • Production implementation • Further tests for confidence • Thermal stability model
Temperature Sensor Locations TF1 TF5 TSR TF3 TF4 TF2 TH3 TB2 TH2 TE2 TB1 TB3 TB4 TB5 TE1 TA4 TA2 TA3 TA1
Focus Model • Gravity • SR-Primary • VFA-Primary • HFA • BUS
Elevation Model • Gravity • BUS • HFA • VFA • Alidade
Azimuth Model • Gravity • Alidade • HFA • BUS • VFA
Optimization • Focus optimization using pseudo-inverse for LSE solution • Coupled Az and El gravity models (AN, AW constraint) • Gradient descent