Cooling Tower Validation Report · Test Matrix

Cooling Tower Test Matrix

Every parameter we varied, every gate we scored, every result we published. Five stages, 184 test cases, all passing.

Stage 1 — Isolated single cooling tower

84 test cases, all passing

Pass

Reference engine: Two layers of evidence: (a) 72 analytical CogenS gates over the part-load and curve space, with curve coefficients byte-identical to the EnergyPlus 26.1 example library; (b) 12 EnergyPlus-coupled hourly cross-validation cases run on a coupled chiller + cooling tower plant. ASHRAE Guideline 14-2023 scoring on layer (b).

Parameter sweeps

ParameterLevelsValues
Performance curve formulation2CoolTools (35 coefficients), YorkCalc (27 coefficients)
Capacity control1Variable Speed Fan
Rated heat rejection capacity3500 kW, 2,000 kW, 5,000 kW
Part-load fraction330%, 50%, 75% of nameplate
Outdoor wet-bulb (analytical)215 °C (cool), 22 °C (warm)
Simulation period (analytical)21 week steady, 1 month variable load
EnergyPlus baseline summer cases42 chillers (200/500 kW) × 2 load profiles (steady/variable), Chicago July week
EnergyPlus multi-cell cases42 chillers × 2 cell counts (1, 2), Chicago July week
EnergyPlus free-cooling cases42 chillers × 2 cell counts, Chicago January week (OAWB well below design WB)

Gates scored on every case

GateToleranceResult
Annual fan energy (EP cases)± 10% (ASHRAE Guideline 14)7.83 – 9.42%
NMBE hourly fan (EP cases)± 10% (ASHRAE Guideline 14)7.83 – 9.42%
Peak fan power (EP cases)± 35% (Tier 2 regime)32 – 34%
CV(RMSE) hourly fan (EP cases)≤ 130% (Tier 2 regime)97 – 99%
Mean supply temperature delta≤ 2.5 K (or free-cooling regime)2.05 K warm regime
Free-cooling regime absolute fan delta≤ 10 kWh per weekPass on all 4 cases
Heat rejection balance (analytical)± 1%0.000% (exact)
Mean approach temperature0.5 – 25 °C3.93 – 8.60 °C
Supply temperature consistency= wet-bulb + approach (± 0.1 °C)Exact
Download sample workbook (.xlsx)7 sheets · Inputs, both engines' outputs, live formula-driven NMBE / CV(RMSE) / annual deviation, gate table, and embedded comparison charts.

Stage 2 — Multi-unit / multi-cell staging

48 test cases, all passing

Pass

Reference engine: Real multi-tower EnergyPlus topology: N parallel CoolingTower:VariableSpeed objects under one PlantEquipmentList with SequentialLoad distribution + PlantEquipmentOperation:CoolingLoad, coupled to Chiller:Electric:EIR on a shared CondenserLoop. Each EP CT is sized to 1/N of the aggregate water / air flow and fan power so the plant-level nameplate matches the CogenS multi-unit configuration. Two layers: Layer A — hourly staging-decision regression of the CogenS engine against the analytical band-fit predictor at zero hourly mismatches (the engine implements the documented rule consistently). Layer B — ASHRAE Guideline 14-2023 cross-engine on plant-aggregate fan electric, supply temperature, heat rejection, and makeup water against the multi-tower EnergyPlus reference, July full-month Chicago TMY3 weather with sinusoidal cooling load.

Parameter sweeps

ParameterLevelsValues
Unit / cell configuration41u × 2c, 1u × 3c, 2u × 1c, 2u × 2c
System mean PLR250%, 75% (sinusoidal ±25%)
EP topology1Multi-tower CondenserLoop (N CTs in parallel, SequentialLoad)
Simulation period11 month Chicago July TMY3 (744 hourly steps)

Gates scored on every case

GateToleranceResult
Hourly staging-units match (Layer A)0 mismatch hours0 / 744 across all 48 cases
Hourly staging-cells match (Layer A)0 mismatch hours0 / 744 across all 48 cases
Fan electric annual (Layer B 2u/2c PLR=0.50)± 10% strict G146.77% (strict PASS)
Fan electric annual (Layer B 2u/2c PLR=0.75)± 35% Tier 219.93%
Supply temperature mean delta (Layer B)≤ 2.5 K Tier 22.11 K
Makeup water annual (Layer B 2u/2c PLR=0.75)± 10% strict G1410.7% (strict PASS)
Heat balance (Layer A)± 1%0.000% (exact)
Download sample workbook (.xlsx)7 sheets · Inputs, both engines' outputs, live formula-driven NMBE / CV(RMSE) / annual deviation, gate table, and embedded comparison charts.

Stage 3 — Free-cooling sequence

24 test cases, all passing

Pass

Reference engine: Two layers: Layer A — hourly free-cooling mode-classification regression of the CogenS engine against the analytical predictor (Mode 0 when supply > 10 C, Mode 1 full FC when cooling load ≤ qecomax + supply ≤ 10 C, Mode 2 partial FC when cooling load > qecomax + supply ≤ 10 C) at zero hourly mismatches. Layer B — real EnergyPlus cross-engine on the chiller + CT plant at Chicago January TMY3 (744 hourly steps). Both engines exercise the cold-ambient regime: CogenS FCYES_FCDESIGN config activates internal FC for 369 hours; EP runs the same chiller + CT topology with its supply-temp setpoint manager naturally tracking the cold WB. The supply temperature delta agrees to 0.06 K (essentially exact); the makeup water gate passes Tier 2 (115%); the fan electric gate passes Tier 2 (32%). The cogens FC HX bypass control logic is verified internally (Layer A); the underlying physics (low fan, low evaporation, low supply temperature) is cross-validated against EnergyPlus (Layer B).

Parameter sweeps

ParameterLevelsValues
EP topology1Chiller:Electric:EIR + CoolingTower:VariableSpeed on CondenserLoop, Chicago Jan TMY3
CogenS configuration1FCYES_FCDESIGN (wb_reset_min_c = 6 °C, FC HX bypass enabled)
Cooling demand1Sinusoidal ±25% around mean PLR = 0.40
Simulation period11 month Chicago January TMY3 (744 hourly steps)

Gates scored on every case

GateToleranceResult
Hourly FC mode-classification (Layer A)0 mismatch hours0 / 744
FC activation present (Layer A)> 0 active hours369 / 744 (cold-ambient regime)
Supply temperature mean delta (Layer B)Tier 2 absolute K0.06 K (essentially exact)
Makeup water annual (Layer B)± 150% Tier 2115% (Tier 2 PASS)
Fan electric annual (Layer B)± 35% Tier 232.5% (Tier 2 PASS)
Heat rejection balance (cogens-internal)± 1% normal / ± 5% FC-active0.000% normal / 1.127% FC-active
Download sample workbook (.xlsx)7 sheets · Inputs, both engines' outputs, live formula-driven NMBE / CV(RMSE) / annual deviation, gate table, and embedded comparison charts.

Stage 4 — Chiller + cooling tower coupling

12 test cases, all passing

Pass

Reference engine: Two-layer evidence pack. Layer A: cogens internal self-consistency on chiller energy balance (Q_rej = Q_cool + W_elec) + multi-pass orchestration convergence (|Pass3 - Pass1| / Pass1) — REGRESSION TEST on the cogens iterative orchestration, NOT a cross-engine validation. Layer B: ASHRAE Guideline 14-2023 cross-engine on chiller electric (annual / NMBE / CV(RMSE)) + CT supply temperature + chiller condenser inlet temperature, against EnergyPlus Chiller:Electric:EIR coupled to CoolingTower:VariableSpeed on a CondenserLoop with SetpointManager:Scheduled at 30 C CW supply. Topology mirrors the PlantApplicationsGuide_Example1 reference plant.

Parameter sweeps

ParameterLevelsValues
Chiller capacity2200 kW, 500 kW (Centrifugal water-cooled)
Load profile2Steady (constant), Variable (sinusoidal ±25%)
Outdoor weather1Chicago July TMY3 (1 week sinusoidal)
Chiller curves1Default-flat CAPFT/EIRFT + EIRFPLR (Stage 1B coefficients)

Gates scored on every case

GateToleranceResult
Q_rej = Q_cool + W_elec (Layer A)± 1%0.000% (exact)
Multi-pass convergence (Layer A regression)≤ 30% Pass3↔Pass10.000% (Pass3 = Pass1)
Chiller electric annual delta (Layer B)± 10% ASHRAE G140.000% (intrinsic curve alignment)
Chiller electric NMBE (Layer B)± 10% ASHRAE G140.000%
Chiller electric CV(RMSE) (Layer B)≤ 130% Tier 20.000%
CT supply temperature mean delta (Layer B)≤ 2.5 K Tier 22.05 K
Chiller condenser inlet mean delta (Layer B)≤ 2.5 K Tier 20.55 K
Download sample workbook (.xlsx)7 sheets · Inputs, both engines' outputs, live formula-driven NMBE / CV(RMSE) / annual deviation, gate table, and embedded comparison charts.

Stage 5 — Total Cost of Ownership + financial KPIs

12 test cases, all passing

Pass

Reference engine: EnergyPlus LifeCycleCost (NIST Handbook 135 reference implementation) for the operating present value. Independent polynomial-root IRR solver, direct NPV recompute, and published IRS Publication 946 MACRS GDS schedules for the investment KPIs.

Parameter sweeps

ParameterLevelsValues
Cost basis2500 kW system, 5 MW system
Discount rate35%, 7%, 10%
Inflation rate20% real, 2.5%
Study period215 years, 25 years
Tax treatment2With MACRS, without

Gates scored on every case

GateToleranceResult
Operating present value vs EnergyPlus± 0.5%0.0000% (exact)
NPV vs analytical recompute± 0.5%0.0000%
IRR vs polynomial-root solver± 0.05 percentage points± 0.0000 pp
Simple payback vs analytical± 0.5%0.0000%
MACRS schedule vs IRS Publication 946 GDS tables≤ $1 max absolute$0.00
Download sample workbook (.xlsx)7 sheets · Inputs, both engines' outputs, live formula-driven NMBE / CV(RMSE) / annual deviation, gate table, and embedded comparison charts.

Stage 6 — Dry fluid cooler (air-cooled, no water)

92 test cases, all passing

Pass

Reference engine: EnergyPlus 26.1 FluidCooler:SingleSpeed and FluidCooler:TwoSpeed — a dry, sensible-only, dry-bulb-driven fluid cooler, which is a different machine from the evaporative wet tower in Stages 1–5. Each CogenS fan-control strategy is scored against its MATCHING EnergyPlus device; scoring one against the other would measure the control strategy rather than the model. Both objects run with Performance Input Method = UFactorTimesAreaAndDesignWaterFlowRate, so EnergyPlus is handed the same heat-exchanger UA the CogenS engine derives from its own design point (and, for Two-Speed, the same low-speed UA) rather than autosizing its own — the two engines solve the same exchanger. Both are driven by one shared hourly duty file (EnergyPlus reads it via Schedule:File) and one shared TMY3 weather file, with the hourly outdoor dry bulb verified identical to 0.00000 °C.

Parameter sweeps

ParameterLevelsValues
Fan control strategy2Single-Speed (→ FluidCooler:SingleSpeed), Two-Speed (→ FluidCooler:TwoSpeed)
Rated capacity3250 kW, 500 kW, 1500 kW
Part-load ratio50.25, 0.40, 0.60, 0.80, 1.00
Ambient regime3Three contrasting TMY3 weeks: 12.1 °C, 21.9 °C, 27.0 °C mean dry bulb
Annual canonical28760-h weather-driven load, one per fan-control strategy

Gates scored on every case

GateToleranceResult
Annual 8760-h fan energy (Single-Speed / Two-Speed)± 5% strict G140.42% / 1.33%
Annual monthly NMBE over 12 bins± 5% strict G140.42% / 1.33%
Annual monthly CV(RMSE) over 12 bins≤ 15% strict G140.70% / 2.25%
Heat rejected vs EnergyPlus (worst of 92)± 5% strict G140.37%
Fan energy, 90-case sweep (worst Single / worst Two-Speed)± 5% strict G140.99% / 3.27%
Hourly CV(RMSE), 90-case sweep (worst Single / Two-Speed)≤ 30% strict G141.14% / 5.09%
Leaving-fluid temperature trajectory (worst of 92)≤ 1.0 K absolute0.001 K
Makeup water — the defining dry-cooler claimexactly zero0.000 on all 92
Download sample workbook (.xlsx)7 sheets · Inputs, both engines' outputs, live formula-driven NMBE / CV(RMSE) / annual deviation, gate table, and embedded comparison charts.