Line Chart: Setpoint vs. Int Sensor, CH1, and CH2

Line Chart: Differnece of Int Sensor, CH1, CH2 vs Setpoints, CH1, CH2 vs Int Sensor

Observations. - During temperature ramp-up, CH1 and CH2 generally show higher readings than the Internal Sensor. - A larger deviation between CH2 and CH1 is observed during ramp-up phase (500°F to 650°F) — up to 33°F.

Rising Time for each Setpoints

setpoint t0 t1 starting_temp.int starting_temp.CH1 starting_temp.CH2 rising_time
500 2025-06-05 13:10:33 2025-06-05 13:20:33 77 76.6 77.2 10.0 mins
650 2025-06-05 13:56:03 2025-06-05 14:01:03 520 518.6 524.0 5.0 mins
700 2025-06-05 14:26:33 2025-06-05 14:28:33 665 656.3 669.1 2.0 mins
800 2025-06-05 14:57:03 2025-06-05 15:01:33 710 708.2 713.6 4.5 mins
900 2025-06-05 15:26:33 2025-06-05 15:31:03 830 821.3 835.3 4.5 mins
Summary Statistics of Deviations
measure500650700800900
diff.int_sp.mean2.300.640.390.67-0.06
diff.ch1_sp.mean-1.33-2.74-1.97-1.57-3.24
diff.ch2_sp.mean6.905.127.356.726.89
diff.int_sp.median1.000.001.000.00-0.50
diff.ch1_sp.median-1.95-2.55-2.30-1.00-4.95
diff.ch2_sp.median6.454.657.255.105.60
diff.int_sp.sd6.695.716.486.345.68
diff.ch1_sp.sd7.155.755.925.205.54
diff.ch2_sp.sd5.836.536.075.145.14
diff.int_sp.min-9.00-9.00-11.00-8.00-9.00
diff.ch1_sp.min-13.80-14.10-14.50-10.80-9.80
diff.ch2_sp.min-6.50-10.70-6.500.30-1.90
diff.int_sp.max18.0015.0015.0019.0014.00
diff.ch1_sp.max13.4013.2011.609.8011.30
diff.ch2_sp.max18.6015.9020.7018.9022.30

Conclusion
We need to collect data on the time it takes for the temperature to rise from 75°F to 750°F. Based on current datapoints, the temperature rise from 77°F to 700°F is estimated to take approximately 17 minutes (10.0 + 5.0 + 2.0 minutes).

Summary of Statistics: Int Sensor, CH1, CH2 vs Setpoints

  1. On average, the Internal Sensor reads 3°F higher than CH1 and 5.8°F lower than CH2.
  2. At steady state, temperature data is skewed toward higher readings.
  3. Recommendation:
    3.1 Apply a +3.5°F offset to compensate for the Internal Sensor reading.
    3.2 Tune the \(K_i\) to adjust the offset.
    3.3 Tune the \(K_d\) to reduce the temperature damping.

Boxplot: Internal Sensor vs. Setpoint: Temperature Deviation (°F)

500°F Boxplot: Deviation from Setpoint – Int Sensor, CH1, CH2

650°F Boxplot: Deviation from Setpoint – Int Sensor, CH1, CH2

700°F Boxplot: Deviation from Setpoint – Int Sensor, CH1, CH2

800°F Boxplot: Deviation from Setpoint – Int Sensor, CH1, CH2

900°F Boxplot: Deviation from Setpoint – Int Sensor, CH1, CH2