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Technical Manual · Water & WUE

Water System & WUE — Cockpit Methodology & Formulas

Every input, formula, constant, output, and reference behind the Water System & WUE cockpit. All derived values originate from the deterministic engine js/conv-engine.js (CONV_CALC.waterFlowLpmForWue, wueFromFlowLpm) anchored to the single-scenario basis in CONV_MODEL — no back-solved constants, no random values. Real-time instrument reads (flow meter, conductivity probe, ΔP transducer) override the basis values when the cockpit is live.

Engine CONV_CALC v1.0.0 WUE Basis 1.20 L/kWh IT Inputs water-quality probe + valve controls Source conv review 09
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01 Purpose & engineering basis

The cockpit monitors three interlocked water subsystems in a conventional data-centre facility: (1) cooling-tower makeup water — quantified by WUE; (2) water treatment — chemical dosing, TDS control, blowdown scheduling, and ASHRAE 188 / ISO 11731-2 Legionella management; and (3) filtration — multimedia pre-treatment with differential-pressure alarming at the 2.0 bar threshold. Its primary KPI, WUE, is derived from a single frozen scenario basis and then continuously refined by live sensor reads.

Engineering basis: conv review document 09 ("09-engineering-basis-and-calculations.md") lines 99–104 and 189–190, cross-referenced against the Uptime Institute WUE metric definition. The single-scenario IT load is 1,850 kW (current) against a design capacity of 2,000 kW. Every water-volume number on every page of the Conventional BMS suite is derived from the same CONV_MODEL object so the suite is internally consistent.

Rule 3 — WUE denominator: WUE = annual site water consumption (L) ÷ annual IT energy (kWh). The denominator is IT energy only, not facility (total) energy. Using facility energy (PUE × IT) deflates WUE by ~PUE (1.45×) and understates the cooling-system water intensity. This rule is accuracy-gate-enforced in CONV_CALC.

02 Inputs — water-quality probe reads & valve controls

The cockpit receives two classes of input: (a) basis constants from CONV_MODEL (fixed scenario values) and (b) live sensor reads from water-quality probes and valve position feedback. The table below distinguishes them.

InputSymbolUnitTypeMeaning
IT load it_load_kwPITkWBasis (1,850 kW)Current IT power draw — single source of truth from CONV_MODEL. Live cockpit may read the EPMS meter; basis value is the scenario anchor.
WUE basis wue_l_per_kwhWUEL/kWhBasis (1.20 L/kWh)Site water-usage effectiveness. Basis value from doc-09 line 13. Live read: back-computed from measured flow meter ÷ IT load.
Makeup flow flow_lpmQmuL/minSensor-read (flow meter)Instantaneous makeup water entering the cooling-tower basin. Sensor primary; basis derivation is the fallback.
Conductivity / TDS tds_ppmTDSppm (mg/L)Sensor-read (conductivity probe)Total dissolved solids in tower basin water. Drives blowdown logic and cycles-of-concentration calculation.
Feed-water TDS tds_feed_ppmTDSfeedppmSensor-read or lab sampleMains / RO permeate TDS. Used in cycles-of-concentration formula.
Filtration ΔP delta_p_barΔPbarSensor-read (ΔP transducer)Differential pressure across the multimedia/sand filter. Threshold 2.0 bar triggers backwash alarm.
Valve states valve_*open / closed / %Control feedbackBlowdown valve, makeup valve, bypass valve positions — logged for audit and interlock checks.
Chemical dosing dose_*L/hr or kg/dayController feedbackBiocide, scale inhibitor, and corrosion inhibitor dosing rates — inputs to ASHRAE 188 Water Management Plan compliance log.

03 Calculation methodology

All formulas below are implemented in js/conv-engine.js. Function names are exact. The engine is ES5-safe, deterministic, and zero-build.

WUE definition (Rule 3 — IT-energy denominator)

WUE = Annual_water_L / Annual_IT_kWh [L/kWh] WUE = (Q_mu_Lpm × 60) / P_IT_kW (instant back-compute from live flow) In wueFromFlowLpm(m, flowLpm). Denominator = IT energy. Basis: 1.20 L/kWh (doc-09 line 13). This is a basis/target value; the sensor-read flow meter back-computes live WUE each scan.conv review 09 · BASIS

Instant makeup-water flow from WUE

Q_mu = (WUE × P_IT) / 60 [L/min] In waterFlowLpmForWue(m). Converts the per-hour WUE rate to a per-minute flow for instrumentation display. Check: (1.20 × 1850) / 60 = 37.0 L/min.conv review 09 · DERIVED
Makeup vs circulation distinction: Q_mu (37.0 L/min at basis) is the net fresh water added to replace evaporation + blowdown + drift. The circulation flow through the tower deck and heat exchangers is typically 20–50× larger. The two must never be conflated — confusing them overstates WUE consumption by that factor.

Annual water consumption

Annual_water_L = WUE × P_IT × 8760 [L/yr] Assumes full-year operation at the scenario IT load. Check: 1.20 × 1850 × 8760 = 19,447,200 L ≈ 19.4 ML/yr. Displayed on the cockpit's annual summary panel.conv review 09 · DERIVED

Cycles of concentration & blowdown

CoC = TDS_basin / TDS_feed (dimensionless, target ≤ 5) Q_bd = Q_mu / (CoC − 1) [L/min] (blowdown flow to maintain CoC) Q_evap = Q_mu − Q_bd − Q_drift [L/min] (evaporation, residual) CoC ≤ 5 limits scale-forming ion concentration while minimising water waste. At CoC = 5 blowdown is 25% of makeup. Conductivity probe monitors TDSbasin; the controller triggers the blowdown valve when TDSbasin approaches TDSfeed × CoCmax. Drift is typically <0.002% of circulation (eliminated by drift eliminators).Uptime WUE · ASHRAE 188 · DERIVED

Filtration differential pressure

ΔP_clean ≈ 0.3–0.5 bar (new media, design point) ΔP_alarm = 2.0 bar (backwash trigger threshold) Measured by a ΔP transducer across the multimedia filter inlet/outlet. Rising ΔP indicates media fouling or biological growth. At 2.0 bar the head loss exceeds acceptable limits and a backwash cycle is automatically (or manually) initiated. Threshold is from site commissioning data — not a universal standard; confirm against installed filter manufacturer data sheet.Site commissioning · INSTRUMENT

Legionella / microbiological monitoring (ASHRAE 188)

HPC ≤ 1×10³ CFU/mL (operational target, ISO 11731-2) Legionella spp. < 1 CFU/100 mL (ASHRAE 188 action level) Cooling towers are a Legionella growth environment (warm water, nutrients, aerosol). ASHRAE 188 Water Management Plan mandates documented control targets, sampling frequency, and corrective actions. Biocide dosing (oxidising + non-oxidising rotation) and blowdown together keep heterotrophic plate count (HPC) and Legionella below action levels.ASHRAE 188 · ISO 11731-2 · STANDARD

04 Constants & data sources

Every constant lives in the deep-frozen CONV_MODEL with a // source: comment citing the review document and line number. Water-relevant constants:

ConstantValueUnitSourceType
wue_l_per_kwh1.20L/kWh ITdoc-09 line 13; doc-01 §3Basis (target)
it_load_kw1,850kWdoc-09 line 10Basis (current)
Annual hours8,760hr/yrCalendar constantFixed
Max CoC5Water management practice; ASHRAE 188 guidanceOperational target
Filtration ΔP alarm2.0barSite commissioning data sheetInstrument threshold
Legionella action level<1 CFU/100 mLCFU/100 mLASHRAE 188Regulatory threshold
HPC operational target≤1×10³ CFU/mLCFU/mLISO 11731-2Operational target
Basis vs sensor-read: wue_l_per_kwh = 1.20 is a basis target from the engineering review — it is what the system was designed to achieve. In live cockpit operation the flow meter provides actual Q_mu; the system back-computes actual WUE via wueFromFlowLpm(). When the two diverge (actual WUE > 1.20), the delta surfaces as a water-efficiency alert. The basis chip on the KPI panel always labels which value is shown.

05 Outputs

OutputFormulaUnitInterpretation
WUE (basis)CONV_MODEL.environment.wue_l_per_kwhL/kWhTarget value from engineering review. Green chip on cockpit.
WUE (live)wueFromFlowLpm(lpm)L/kWhComputed from measured flow meter. Alarm if > basis.
Instant makeup flowwaterFlowLpmForWue(m)L/min37.0 L/min at basis. Flow-meter primary.
Annual water consumptionWUE × P_IT × 8760L/yr (ML/yr)≈ 19.4 ML/yr at basis. Summary panel.
Cycles of concentrationTDS_basin / TDS_feedTarget ≤ 5. Amber alert at CoC > 4.5, red at CoC > 5.
Blowdown flowQ_mu / (CoC − 1)L/minRequired blowdown to maintain target CoC.
Filtration ΔP statusΔP transducer readingbarGreen <1.5 bar, amber 1.5–2.0, red ≥ 2.0 (backwash required).
Legionella / HPC statusLab / online probe resultCFU/mL or CFU/100 mLASHRAE 188 action-level indicator.
Chemical dosing statusDosing controller feedbackL/hr / kg/dayOn-duty/off indicator per biocide and inhibitor channel.

06 Worked example

Scenario: basis IT load 1,850 kW, WUE 1.20 L/kWh, TDSfeed = 150 ppm, TDSbasin = 600 ppm (CoC = 4), filtration ΔP = 1.1 bar. All numbers reproduce CONV_CALC output exactly.

  1. Instant makeup flow: Q_mu = (1.20 × 1850) / 60 = 37.0 L/min (basis; flow meter overrides in live mode)
  2. Annual water consumption: 1.20 × 1850 × 8760 = 19,447,200 L ≈ 19.4 ML/yr
  3. Live WUE back-compute (if meter reads 38.5 L/min): (38.5 × 60) / 1850 = 1.249 L/kWh → above basis 1.20, water-efficiency alert
  4. Cycles of concentration: 600 / 150 = CoC 4.0 (within ≤ 5 target ✓)
  5. Required blowdown to hold CoC = 4: 37.0 / (4 − 1) = 12.3 L/min
  6. Filtration ΔP = 1.1 bar → NORMAL (threshold 2.0 bar, no backwash required)
  7. Annual water with blowdown included: evaporation = 37.0 − 12.3 − ~0.07 (drift) ≈ 24.6 L/min evaporated; total input = 37.0 L/min makeup (steady state)
Engineering reading: at CoC = 4 the blowdown is 33% of makeup (12.3 of 37.0 L/min). Raising CoC to 5 would drop blowdown to 25% (9.3 L/min), saving ~3 L/min — approximately 1.6 ML/yr in water savings, at the cost of tighter TDS monitoring. The tradeoff is governed by local water cost vs. chemical-treatment cost and scale-fouling risk.

07 References & standards

08 Assumptions & limitations

The WUE basis (1.20 L/kWh) is a site target from the engineering review — it assumes steady-state operation at 1,850 kW IT load with the cooling tower operating at design cycles of concentration and no abnormal evaporative losses. Actual WUE varies with ambient wet-bulb temperature (higher in summer), partial-load operation, and tower maintenance state; the cockpit surfaces these deviations by continuously back-computing live WUE from the flow meter. The annual 19.4 ML figure assumes 8,760 hr/yr at the stated IT load — seasonality and planned downtime will reduce the actual total. Blowdown volume estimates use the steady-state CoC formula; transient startup, chemical slug dosing, and emergency drain events are metered separately. Filtration ΔP thresholds are from site commissioning data and must be re-validated after any media replacement or hydraulic modification. This manual is an engineering education and operational reference; a licensed water-treatment engineer and microbiologist must author the site's formal ASHRAE 188 Water Management Plan.

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