Window U-Factor and SHGC Savings Calculator

ANALife Services AuthorityNational Calculator Authority›Window U-Factor and SHGC Savings Calculator

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Window U-Factor and SHGC Savings Calculator

Estimate annual heating and cooling energy savings when upgrading to windows with improved U-Factor (heat loss) and Solar Heat Gain Coefficient (SHGC) ratings.

### Window Properties

Total Window Area (sq ft)

Existing Window U-Factor (BTU/hr·ft²·°F)

New Window U-Factor (BTU/hr·ft²·°F)

Existing Window SHGC (0–1)

New Window SHGC (0–1)

### Climate & Building

Heating Degree Days (HDD, base 65°F)

Cooling Degree Days (CDD, base 65°F)

Average Annual Solar Irradiance (BTU/hr·ft²)

Typical range: 30–80 BTU/hr·ft². US average ≈ 50.

### Energy Costs

Heating System Efficiency (AFUE or COP, e.g. 0.80 or 3.0)

Cooling System Efficiency (COP, e.g. 3.0 for SEER 10)

Heating Fuel Cost ($ per 100,000 BTU = 1 therm)

Electricity Cost ($ per kWh)

Calculate Savings

function winCalc() { const err = document.getElementById('win_error'); const res = document.getElementById('win_result'); err.style.display = 'none'; res.style.display = 'none';

// --- Collect inputs --- const area = parseFloat(document.getElementById('win_area').value); const uOld = parseFloat(document.getElementById('win_u_old').value); const uNew = parseFloat(document.getElementById('win_u_new').value); const shgcOld = parseFloat(document.getElementById('win_shgc_old').value); const shgcNew = parseFloat(document.getElementById('win_shgc_new').value); const hdd = parseFloat(document.getElementById('win_hdd').value); const cdd = parseFloat(document.getElementById('win_cdd').value); const solar = parseFloat(document.getElementById('win_solar').value); const heatEff = parseFloat(document.getElementById('win_heat_eff').value); const coolEff = parseFloat(document.getElementById('win_cool_eff').value); const heatCost = parseFloat(document.getElementById('win_heat_cost').value); const elecCost = parseFloat(document.getElementById('win_elec_cost').value);

// --- Validation --- const fields = [area, uOld, uNew, shgcOld, shgcNew, hdd, cdd, solar, heatEff, coolEff, heatCost, elecCost]; if (fields.some(v => isNaN(v) || v = uOld) { err.textContent = 'New U-Factor should be lower than existing U-Factor for savings. If upgrading, the new value must be less than the old value.'; err.style.display = 'block'; return; } if (shgcOld > 1 || shgcNew > 1) { err.textContent = 'SHGC must be between 0 and 1.'; err.style.display = 'block'; return; }

// --------------------------------------------------------------- // HEATING SAVINGS (U-Factor conduction loss reduction) // Q_heat = ΔU × Area × HDD × 24 [BTU/year] // ΔU = uOld - uNew // Fuel saved = Q_heat / heatEff [BTU/year of fuel] // Cost saved = Fuel saved / 100000 × heatCost // --------------------------------------------------------------- const deltaU = uOld - uNew; const heatSavingsBTU = deltaU * area * hdd * 24; // BTU/yr const heatFuelSaved = heatSavingsBTU / heatEff; // BTU/yr of fuel input const heatCostSaved = (heatFuelSaved / 100000) * heatCost; // dollars

// --------------------------------------------------------------- // SOLAR GAIN HEATING BENEFIT (lower SHGC = less free heat in winter) // In heating season, solar gain is beneficial. // Solar heat lost due to lower SHGC: // Q_solar_heat_loss = (shgcOld - shgcNew) × area × solar × heatingHours // heatingHours ≈ HDD × 24 / avgDeltaT_heating // Using a simplified approach: heating hours ≈ HDD * 24 / 17.5 // (assuming average indoor-outdoor delta T of 17.5°F during heating season) // This solar loss partially offsets heating savings. // --------------------------------------------------------------- const heatingHours = (hdd * 24) / 17.5; const deltaSHGC = shgcOld - shgcNew; // Solar gain reduction in heating season (negative = less free heat = cost) const solarHeatLossBTU = deltaSHGC * area * solar * heatingHours; // BTU/yr const solarHeatLossFuel = solarHeatLossBTU / heatEff; const solarHeatLossCost = (solarHeatLossFuel / 100000) * heatCost;

// --------------------------------------------------------------- // COOLING SAVINGS (U-Factor conduction gain reduction) // Q_cool_U = ΔU × Area × CDD × 24 [BTU/year] // --------------------------------------------------------------- const coolSavingsU_BTU = deltaU * area * cdd * 24; // BTU/yr

// --------------------------------------------------------------- // COOLING SAVINGS (SHGC solar gain reduction) // Q_cool_SHGC = ΔSHGC × area × solar × coolingHours // coolingHours ≈ CDD * 24 / 15 (avg delta T ~15°F in cooling season) // --------------------------------------------------------------- const coolingHours = (cdd * 24) / 15; const coolSavingsSHGC_BTU = deltaSHGC * area * solar * coolingHours; // BTU/yr

const totalCoolSavingsBTU = coolSavingsU_BTU + coolSavingsSHGC_BTU; // Convert BTU to kWh: 1 kWh = 3412 BTU; divide by COP for electricity used const coolElecSaved_kWh = totalCoolSavingsBTU / (3412 * coolEff); const coolCostSaved = coolElecSaved_kWh * elecCost;

// --------------------------------------------------------------- // NET ANNUAL SAVINGS // --------------------------------------------------------------- const netHeatSavings = heatCostSaved - solarHeatLossCost; const netCoolSavings = coolCostSaved; const totalSavings = netHeatSavings + netCoolSavings;

// --------------------------------------------------------------- // Energy quantities for display // --------------------------------------------------------------- const heatSavedTherms = heatFuelSaved / 100000; const solarLossTherms = solarHeatLossFuel / 100000; const coolSavedKwh = coolElecSaved_kWh;

// Format helpers const fmt = (v, d=2) => v.toLocaleString('en-US', {minimumFractionDigits:d, maximumFractionDigits:d}); const fmtC = (v) => '$' + fmt(Math.abs(v));

res.innerHTML = ` ### Results

Category Energy Annual Savings

Heating – Conduction Reduction ${fmt(heatSavedTherms,1)} therms +${fmtC(heatCostSaved)}

Heating – Solar Gain Reduction (offset) ${fmt(solarLossTherms,1)} therms lost −${fmtC(solarHeatLossCost)}

Net Heating Savings — =0?'#27ae60':'#c0392b'};">${netHeatSavings>=0?'+':'−'}${fmtC(netHeatSavings)}

Cooling – Conduction Reduction ${fmt(coolSavingsU_BTU/3412,0)} kWh +${fmtC((coolSavingsU_BTU/(3412coolEff))elecCost)}

Cooling – Solar Gain Reduction (SHGC) ${fmt(coolSavingsSHGC_BTU/3412,0)} kWh +${fmtC((coolSavingsSHGC_BTU/(3412coolEff))elecCost)}

Net Cooling Savings ${fmt(coolSavedKwh,0)} kWh +${fmtC(netCoolSavings)}

Total Annual Savings${totalSavings>=0?'+':'−'}${fmtC(totalSavings)}/yr

Key Metrics: ΔU-Factor: ${fmt(deltaU,3)} BTU/hr·ft²·°F  |  ΔSHGC: ${fmt(deltaSHGC,3)}  |  Window Area: ${fmt(area,0)} ft²

`; res.style.display = 'block'; }

#### Formulas Used

Heating Conduction Savings (BTU/yr): Qheat = (Uold − Unew) × Area × HDD × 24

Heating Fuel Saved: Fuelheat = Qheat / ηheat  →  Cost = (Fuel / 100,000) × Rateheat

Solar Gain Offset in Heating Season (BTU/yr): Qsolar,heat = (SHGCold − SHGCnew) × Area × Isolar × (HDD × 24 / 17.5)

Cooling Conduction Savings (BTU/yr): Qcool,U = (Uold − Unew) × Area × CDD × 24

Cooling Solar Gain Savings (BTU/yr): Qcool,SHGC = (SHGCold − SHGCnew) × Area × Isolar × (CDD × 24 / 15)

Cooling Electricity Saved (kWh/yr): kWhcool = (Qcool,U + Qcool,SHGC) / (3,412 × COPcool)

Net Annual Savings: Savings = Net Heating Savings + Net Cooling Savings

#### Assumptions & References

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