Research Article

A Set-Up of 7 Laser Triangulation Sensors and a Draw-Wire Sensor for Measuring Relative Displacement of a Piston Rod Mechanical Lead-Through Transmission in an Offshore Wave Energy Converter on the Ocean Floor

Table 3

Compiled statistical data from system calibration and curve fitting for laser sensors.

Statistics for laser sensorsPRLS 1PRLS 2PRLS 3SHLS 1SHLS 2SHLS 3SHLS 4

Standard error of the voltage means in each calibration point during system calibration:
𝑆 𝑦 1 [V]2.06E−51.45E−59.01E−62.40E−59.21E−76.12E−63.69E−5
𝑆 𝑦 2 [V]9.21E−72.68E−64.03E−59.35E−65.16E−62.36E−52.40E−5
𝑆 𝑦 3 [V]3.78E−51.19E−55.16E−61.13E−69.15E−61.83E−52.16E−6
𝑆 𝑦 4 [V]6.68E−54.89E−55.95E−52.79E−53.41E−51.95E−62.14E−5

Pooled standard error of the mean voltages from system calibration of each sensor:
𝑆 𝑃 𝑦 [V]3.98E−52.62E−53.63E−51.90E−51.78E−51.53E−52.45E−5

Standard error for the voltage residuals from curve fitting of the transfer functions:
RMSE [V]0.0094000.0104420.0151200.0006440.0018550.0047210.004169

Coefficients of determination from curve fitting of the transfer functions:
𝑅 2 0.9999980.9999980.9999981.0000001.0000001.0000001.000000

95% confidence bounds for slope and offset coefficients in the transfer functions:
Slope bounds±0.0065±0.0055±0.006±0.0005±0.0005±0.0025±0.002
Offset bounds±0.0215±0.02345±0.0339±0.0016±0.0041±0.01195±0.00945

Standard error for the slope and offset coefficients in the transfer functions (bounds/4.3):
Std. slope error±0.0015±0.0013±0.0014±0.00012±0.00012±0.00058±0.00047
Std. offset error±0.0050±0.0055±0.0079±0.00037±0.00095±0.0028±0.0022