Feature Factory

P-101 is a fictional, synthetic teaching fixture. Its signals and engineered relationships are not field evidence.

Raw signals acquire meaning through units, locations, operating context, time windows, and physical relationships. The Feature Factory records those transformations so sensors and engineered features can compete as carefully as algorithms.

P-101 feature transformation sequence

  1. Temperature → DE temperature delta ambient, NDE temperature delta ambient, Rolling Mean 30m
  2. Vibration → Vibration RMS, Vibration Kurtosis
  3. Engineering relationships → Pressure Ratio, Flow / Speed, Power / Flow, Twin Residual
Every transformation is derived from the canonical fictional P-101 signal and feature fixture; no additional measurement or feature is inferred.

For vibration, a waveform can yield RMS, peak, kurtosis, crest factor, FFT, spectral energy, envelope spectrum, order components, and bearing frequencies. For process equipment, measurements combine with engineering relationships to produce pressure ratio, efficiency, heat rate, normalized power, ΔP, ΔT, flow per speed, power per flow, measured minus expected, and measured minus twin prediction.

P-101 feature lineage

Pressure Ratio

Discharge pressure relative to suction pressure.

Feature ID
pressure-ratio
Feature group
process
Source signals
suction-pressure, discharge-pressure
Unit
dimensionless ratio
Formula / transformation
discharge pressure ÷ suction pressure
Window
Aligned sample; no rolling window.
Applicable regime
Within the declared fictional P-101 operating envelope only.
Provenance
Industrial Twin Lab fictional engineering fixture; no plant-derived feature values.
Leakage assessment
Past or contemporaneous source values only; future values, maintenance labels, and held-out outcomes are prohibited.
Validation status
Not validated in Phase 1

Flow / Speed

Flow normalized by rotational speed.

Feature ID
flow-per-speed
Feature group
process
Source signals
flow, speed
Unit
m³/h per rpm
Formula / transformation
flow ÷ speed
Window
Aligned sample; no rolling window.
Applicable regime
Within the declared fictional P-101 operating envelope only.
Provenance
Industrial Twin Lab fictional engineering fixture; no plant-derived feature values.
Leakage assessment
Past or contemporaneous source values only; future values, maintenance labels, and held-out outcomes are prohibited.
Validation status
Not validated in Phase 1

Power / Flow

Electrical power normalized by flow.

Feature ID
power-per-flow
Feature group
process
Source signals
motor-power, flow
Unit
kW per (m³/h)
Formula / transformation
motor power ÷ flow
Window
Aligned sample; no rolling window.
Applicable regime
Within the declared fictional P-101 operating envelope only.
Provenance
Industrial Twin Lab fictional engineering fixture; no plant-derived feature values.
Leakage assessment
Past or contemporaneous source values only; future values, maintenance labels, and held-out outcomes are prohibited.
Validation status
Not validated in Phase 1

DE temperature delta ambient

Drive-end bearing temperature above ambient.

Feature ID
bearing-de-delta-ambient
Feature group
physics
Source signals
bearing-de-temperature, ambient-temperature
Unit
°C
Formula / transformation
bearing DE temperature − ambient temperature
Window
Aligned sample; no rolling window.
Applicable regime
Within the declared fictional P-101 operating envelope only.
Provenance
Industrial Twin Lab fictional engineering fixture; no plant-derived feature values.
Leakage assessment
Past or contemporaneous source values only; future values, maintenance labels, and held-out outcomes are prohibited.
Validation status
Not validated in Phase 1

NDE temperature delta ambient

Non-drive-end bearing temperature above ambient.

Feature ID
bearing-nde-delta-ambient
Feature group
physics
Source signals
bearing-nde-temperature, ambient-temperature
Unit
°C
Formula / transformation
bearing NDE temperature − ambient temperature
Window
Aligned sample; no rolling window.
Applicable regime
Within the declared fictional P-101 operating envelope only.
Provenance
Industrial Twin Lab fictional engineering fixture; no plant-derived feature values.
Leakage assessment
Past or contemporaneous source values only; future values, maintenance labels, and held-out outcomes are prohibited.
Validation status
Not validated in Phase 1

Vibration RMS

RMS vibration from bearing-housing measurements.

Feature ID
vibration-rms
Feature group
vibration
Source signals
axial-vibration, radial-vibration
Unit
mm/s RMS
Formula / transformation
root mean square of axial and radial vibration samples
Window
Declared vibration analysis window; duration not specified in Phase 1.
Applicable regime
Within the declared fictional P-101 operating envelope only.
Provenance
Industrial Twin Lab fictional engineering fixture; no plant-derived feature values.
Leakage assessment
Past or contemporaneous source values only; future values, maintenance labels, and held-out outcomes are prohibited.
Validation status
Not validated in Phase 1

Vibration Kurtosis

Distribution-tail indicator for vibration change.

Feature ID
vibration-kurtosis
Feature group
vibration
Source signals
axial-vibration, radial-vibration
Unit
dimensionless
Formula / transformation
kurtosis of axial and radial vibration samples
Window
Declared vibration analysis window; duration not specified in Phase 1.
Applicable regime
Within the declared fictional P-101 operating envelope only.
Provenance
Industrial Twin Lab fictional engineering fixture; no plant-derived feature values.
Leakage assessment
Past or contemporaneous source values only; future values, maintenance labels, and held-out outcomes are prohibited.
Validation status
Not validated in Phase 1

Twin Residual

Measured value minus digital-twin prediction.

Feature ID
twin-residual
Feature group
physics
Source signals
motor-power, flow, speed
Unit
kW
Formula / transformation
motor power − digital-twin motor-power prediction conditioned on flow and speed
Window
Aligned sample; no rolling window.
Applicable regime
Within the declared fictional P-101 operating envelope only.
Provenance
Industrial Twin Lab fictional engineering fixture; no plant-derived feature values.
Leakage assessment
Past or contemporaneous source values only; future values, maintenance labels, and held-out outcomes are prohibited.
Validation status
Not validated in Phase 1

Rolling Mean 30m

Thirty-minute rolling temperature mean.

Feature ID
rolling-mean-30m
Feature group
temporal
Source signals
bearing-de-temperature
Unit
°C
Formula / transformation
mean of bearing DE temperature over the trailing 30 minutes
Window
Trailing 30 minutes.
Applicable regime
Within the declared fictional P-101 operating envelope only.
Provenance
Industrial Twin Lab fictional engineering fixture; no plant-derived feature values.
Leakage assessment
Past or contemporaneous source values only; future values, maintenance labels, and held-out outcomes are prohibited.
Validation status
Not validated in Phase 1

Residual Intelligence

Residual Intelligence

Residual = Physical Measurement − Digital Twin Prediction

A readable technical definition, not a claim that the fictional P-101 twin is implemented or validated.

A residual asks whether P-101 behaves as the current twin expects under the same flow, speed, pressure, and ambient conditions. That deviation may carry more diagnostic information than a raw value because ordinary regime changes are represented explicitly. It is not automatically an anomaly: residual usefulness depends on twin validity, sensor quality, alignment, calibration, and the uncertainty of both measurement and prediction.

Feature competition must therefore record source signals, transformations, windows, units, missing-data behavior, software version, and leakage controls. A candidate that gains accuracy by using unavailable future data, a maintenance label, or a regime proxy has failed even if its metric improves. A smaller feature set may be preferred when it preserves detection performance with fewer sensors, lower inference cost, and clearer physical interpretation.

Conceptual demonstration — synthetic fixture results. P-101 feature definitions are illustrative and require validation before any physical-machine use.

Interpretation boundary

Traceable features are candidates, not conclusions

Feature provenance must bind sources, units, windows, code, and missing-data behavior. Performance remains conditional on operating regime, leakage controls, twin fidelity, and engineering validation. Feature generation may support a hypothesis; it does not establish causality.