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AI & Analytics

Physics-Based Analytics

First-principles physics models for industrial equipment. Calculate real-time efficiency, track operating points on equipment curves, and trend degradation over time.

PUMP CURVE -- HEAD vs FLOWHEAD (m)FLOW (L/s)BEPη=87%OPH-Q CurveSystem CurveEfficiencyOPERATING POINTFlow: 32.0 L/sHead: 120.8 mEff: 75.5%PHYSICS ENGINEη = P_hyd / P_elecWire-to-Water Eff.75.5%P_hyd = ρ·g·Q·HHydraulic Power37.9 kWNPSH_m = NPSH_a - NPSH_rCavitation Margin4.3 mH = H_0 - k·Q²Affinity LawH₀=140 mSE = P / QSpecific Energy578.1 Wh/m³CAVITATION RISK -- NPSHREQUIREDNPSH_a = 8.5m0m3m6m9m12mMARGIN: 4.3m SAFETHERMAL62°CMotor Temperature40°C90°CEFFICIENCY75%vs BEP (87%)SENSOR INPUTS → PHYSICS MODELP_in3.2barP_out8.1barFlow42L/sPower18.5kWSpeed1480RPMPHYSICS ENGINEpump_centrifugal_v2.3physics-engine@twinedge:~$ run pump_model --live η_wire_to_water = 75.48% P_hydraulic = 37.92 kW NPSH_margin = 4.30 m [OK] BEP_deviation = 0.150 (27.3% off-BEP) specific_energy = 578.1 Wh/m³

Equipment Physics Models

Pre-built first-principles models for common industrial equipment types.

Centrifugal Pumps

EQUATIONS

Head, Flow, BEP, NPSH, Wire-to-Water Efficiency

KEY METRICS

Pump curve deviation, cavitation risk index, specific energy (kWh/ML)

Chillers & Heat Pumps

EQUATIONS

COP, EER, Approach Temperature, Capacity Ratio

KEY METRICS

Real-time COP vs design, condenser fouling index, refrigerant charge status

Air Compressors

EQUATIONS

Specific Power, Volumetric Efficiency, Pressure Ratio

KEY METRICS

kW/100 CFM trending, leak rate estimation, staging optimization score

Generators

EQUATIONS

Fuel Consumption Rate, Power Factor, Thermal Efficiency

KEY METRICS

Specific fuel consumption, load factor, coolant degradation tracking

Battery Banks

EQUATIONS

State of Charge, Internal Resistance, C-Rate Tracking

KEY METRICS

Cell imbalance detection, capacity fade percentage, thermal runaway risk

Cooling Towers

EQUATIONS

Range, Approach, Effectiveness, L/G Ratio

KEY METRICS

Fill degradation index, drift loss estimation, seasonal performance curves

Analytics Capabilities

Real-Time Efficiency

Calculate equipment efficiency every 5 seconds from live sensor data. Compare against design specs and historical baselines.

Operating Point Tracking

Plot current operating point on equipment curves. Alert when operation drifts outside the optimal efficiency envelope.

Degradation Trending

Track efficiency loss over weeks and months. Correlate degradation rate with operating conditions and maintenance events.

First-Principles Validation

Physics equations validate sensor readings. Flag physically impossible values before they corrupt analytics downstream.

Understand Your Equipment at a Physics Level

Stop guessing whether equipment is running efficiently. Physics models give you the answer in real time.