What is Chiller Part-Load Dynamics: Why Full-Load kW/ton Misleads Estimators?
Mathematical Foundation
Laws & Principles
- AHRI 550/590 Weighting Distribution: Operating hours are partitioned into 1% at 100% load, 42% at 75% load, 45% at 50% load, and 12% at 25% load. The 50% operating point carries the greatest individual weighting.
- Entering Condenser Water Temperature (ECWT) Relief: As outdoor wet-bulb temperatures fall at part-load, cooling towers produce colder water. AHRI rating standardizes ECWT down to 65°F at 50% and 25% capacity, reducing compressor lift.
- Harmonic Mean Formulation: Because efficiency is in kW per ton (an inverse rate), the IPLV equation uses an inverted harmonic summation rather than a direct linear average. Direct linear averaging would skew seasonal projections.
- Variable Frequency Drives (VFD) Impact: Variable speed centrifugal and screw compressors achieve substantial efficiency improvements at 50% and 75% load, dropping below 0.35 kW/ton due to reduced aerodynamic lift and reduced motor RPM.
Step-by-Step Example Walkthrough
" A 500-ton water-cooled centrifugal chiller with variable frequency drive demonstrates measured test bench points of 0.650 kW/ton (100%), 0.500 kW/ton (75%), 0.450 kW/ton (50%), and 0.550 kW/ton (25%). "
- 1. Identify test points: A = 0.650 kW/ton, B = 0.500 kW/ton, C = 0.450 kW/ton, D = 0.550 kW/ton.
- 2. Compute AHRI fractional weighting terms: (0.01 / 0.650) + (0.42 / 0.500) + (0.45 / 0.450) + (0.12 / 0.550).
- 3. Sum the terms: 0.0154 + 0.8400 + 1.0000 + 0.2182 = 2.0736.
- 4. Invert sum to calculate IPLV: 1 / 2.0736 = 0.482 kW/ton.
- 5. Calculate COP: 3.51685 / 0.482 = 7.30 COP.