How we calibrate the Wave Height and Period Measurements from the Gravitational Acceleration Wave Buoys in RMIC/AP

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How we calibrate the Wave Height and Period Measurements from the Gravitational Acceleration Wave Buoys in RMIC/AP YU Jianqing RMIC for the Asia-Pacific Region National Center of Ocean Standards and Metrology, China October, 2014

1. The Gravitational Acceleration Wave Buoys Wave information is usually one of the top variables requested by physical observations. Wave/ surface winds/ currents; Wave/ temperature/ salinity. The Gravitational Acceleration Wave Buoys are used widely for wave information. They measure near surface waves, and are ideal for collecting large quantities of wave data at a specific point. They are often taken as the measurement standards (reference instruments) to assess the performance of other types of wave measuring instruments. a ground-wave Radar array

1. The Gravitational Acceleration Wave Buoys The Gravitational Acceleration Wave Buoys measure vertical acceleration, integrate the acceleration signal twice to give displacement, and provide the wave height information. They measure the time period between successive waves. The directional buoy gives direction information. The wave signals are stored temporarily onboard the wave buoy and then transferred to a computer back at the shore by a radio system.

2. The method for calibrating a buoy/transducer Vertical rotating arm method* Calibration device in RMIC/AP *:Vadasz Fekete. United States Patent (4,158,956). Jun. 26, 1979.

3 The Measurement Standard For Public Service for the laboratory calibration of the Gravitational Acceleration Wave Buoys The Calibration Device of Wave Buoy was developed by RMIC/AP. Maximum Loading Weight: 180 kg, measurable diameter of buoys: (0.5~1.0) m. Round truss Driving and braking system Control and data acquisition system Frequency speed control and power supply system

4. NCOSM is authorized to carry out metrological verification, calibration and test Items of authorized verification/ calibration/test Measuring range Uncertainty/accuracy class/maximum permissible error Verification regulation or technical specification Gravitational Acceleration Wave Buoys/ transducers Wave height: (1~6) m Wave period: (2~40) s Wave height: MPE:± 0.3%F.S U=11 mm (k=2) Wave period: MPE:± 0.5 s JJG (Ocean) 04:2003 The Gravitational Acceleration Wave Buoy U=0.16 s (k=2)

4. NCOSM is authorized to carry out metrological verification, calibration and test The Certificate of Metrological Authorization The calibration device was certified as a Measurement Standard for Public Service by AQSIQ in 2004. AQSIQ: the Chinese General Administration of Quality Supervision, Inspection and Quarantine

4. NCOSM is authorized to carry out metrological verification, calibration and test Registration No. CNAS L3365

5. The calibration procedure of the Gravitational Acceleration Wave buoys Verification regulation or technical specification: JJG (Ocean) 04:2003 The Gravitational Acceleration Wave Buoy; JJF1059 Evaluation and Expression of Uncertainty of Measurement. GUM: Guide to the Expression of Uncertainty in Measurement

5.1 The setting of calibration points T0 i The calibration points of wave height: 1.0m, 3.0m, 6.0m; The calibration points of wave period: take 7 wave period values at each calibration point of wave height according to the principle of uniform frequency-point distribution within the period range of the buoy verified. H 0 =1.0 m, T min =2.6 s; = ' ' 6Tmax Tmin ' i T + (6 i) T max ' min, T ' min 21π g H 0 H 0 =3.0 m, T min =4.5 s; H 0 =6.0 m, T min =6.4 s 1/T max 1/T min f

5.2 The calibration steps 1) Determine the mounting point on the radial arm of the device according to the requirements for the calibration point of wave height. 2) Mount the wave buoy to the buoy-holder on the radial arm, and adjust the tension of chain reasonably to make the chain tightly engaged with the gear.

5.2 The calibration steps 3) Increase/decrease the counterweight to regulate the balance of the device truss.

5.2 The calibration steps 4) Set the standard period in the control system and rotate the truss. 5) Start to perform measurement when the truss rotates at a constant velocity state. 6) Record the standard wave height Ho and standard period To of the calibration point, and the corresponding measurements of wave height and wave period from the buoy being calibrated. 7) Process the data and issue a calibration certificate. Measuring error: H = H H 0 T = T T 0

5.3 The measurement traceability systems --- wave height Higher Level Measurement Standards Standard steel tapes MPE:±(0.03+0.03L) mm Tianjin Research Institute of Metrology, P.R.China Laser Interference Comparator MPE:± 1.2ppm Tianjin Research Institute of Metrology, P.R.China Direct Comparison Direct Comparison Our Measurement Standards Steel tape of Level 2 (0~15) m MPE:±(0.3+0.2L) mm Direct measurement Displacement transducer (0~3) m MPE:±1 mm The calibration device of the Gravitational Acceleration Wave Buoys Wave height: (1~6) m MPE:±0.3% F.S Direct Comparison The Objective Instruments The Gravitational Acceleration Wave Buoys Wave height: (1~6) m MPE:±3% F.S

5.3 The measurement traceability systems --- wave period Higher Level Measurement Standards Frequency standard of Class 3 MPE:±10-9 ~10-7 Tianjin Research Institute of Metrology, P.R.China Time Interval Generator MPE:± 2 10-7 s Tianjin Research Institute of Metrology, P.R.China Direct Comparison Direct Comparison Our Measurement Standards Frequency meter (10~10 8 ) Hz MPE:±1 10-5 Hz Direct measurement Stopwatch (0~3600)s MPE:±0.03s The calibration device of the Gravitational Acceleration Wave Buoys Wave period: (2~40) s MPE:±0.2 s Direct Comparison The Objective Instruments The Gravitational Acceleration Wave Buoys Wave period: (2~40) s MPE:±0.5 s

5.4 Evaluation of the uncertainty in measurement For wave height measurement: Uncertainty Source Symbol Standard Uncertainty (mm) Measurement repeatability of the calibrated instrument Measurement error of the range from the buoy-holder to the center of the round-truss Accuracy of the A/D conversion u rep u R u A / D 5.00 0.85 ignored Error of the rotation radian u θ 0.64 Measurement error of the horizontal line u h0 0.69 U = k u = 2 5.16mm = 11mm ( k = c 2)

5.4 Evaluation of the uncertainty in measurement For wave period measurement: The uncertainty sources of the wave period measurement calibration consist of: (a) Measurement repeatability of the calibrated instrument; (b) Error of the interrupt impulse for time interval (period). Uncertainty Source Symbol Standard Uncertainty(s) Measurement repeatability of the calibrated instrument u t rep 0.08 Error of the interrupt impulse for time interval (period) u stime ignored U = k uc = 2 0.08s = 0.16s

6. The QA/QC for the calibration procedure The calibration is traceable to the SI through certified national measurement institutes. Main measuring parts of our calibration device should be calibrated/verified at regular intervals. It is in compliance with the specific verification regulations issued in China and ISO/IEC 17025:2005. The calibration device is checked by AQSIQ every four years. If qualified, it would be authorized to be used for public service as a Measurement Standard in accordance with the Law on Metrology of the People s Republic of China. Only well trained engineers with metrological certificates are permitted to carry out the calibration.

7. Summary NCOSM is authorized to carry out metrological verification, calibration and test of the Gravitational Acceleration Wave Buoys and transducers. Developed by NCOSM, the wave buoy calibration device was certified as the Measurement Standards for Public Service in 2004. We built the measurement traceability systems of wave height and period calibration and do the QA/QC procedure. NCOSM acts as a technical supporter to ensure the accuracy and reliability of data in national marine observation projects in China. Items of authorized verification/ calibration/test Measuring range Uncertainty/accuracy class/maximum permissible error Verification regulation Gravitational Acceleration Wave Buoys / transducers Wave height: (1~6) m Wave period: (2~40) s Wave height: MPE:±0.3%F.S U=11mm (k=2) Wave period: MPE:± 0.5 s JJG (Ocean) 04:2003 The Gravitational Acceleration Wave Buoy U=0.16 s (k=2)

Thank you for your attention! E-mail:yujianqing@ncosm.gov.cn Office Phone:+86 022 27539516