Heat Pump vs. Fossil Fuel Cost Comparison Calculator

ANALife Services AuthorityNational Calculator Authority›Heat Pump vs. Fossil Fuel Cost Comparison Calculator

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Heat Pump vs. Fossil Fuel Cost Comparison Calculator

Compare the annual operating costs of a heat pump against natural gas, oil, or propane heating systems to estimate your potential savings.

Annual Heating Load (MMBtu)

Typical home: 40–120 MMBtu/year. Check your utility bills or use 60 as a starting point.

Heat Pump COP (Coefficient of Performance)

Modern air-source heat pumps: 2.0–3.5; ground-source: 3.0–5.0. Average: 2.5.

Electricity Rate ($/kWh)

U.S. average ~$0.13/kWh. Check your electric bill for your actual rate.

Fossil Fuel Type

Natural Gas Heating Oil Propane

Natural Gas Price ($/therm)

U.S. average ~$1.20/therm for natural gas.

Fossil Fuel System Efficiency (AFUE %)

Standard furnace: 80%; high-efficiency: 90–98%. Check your equipment label.

Calculate

function heaUpdateFuelLabel() { var type = document.getElementById("hea-fossil-fuel-type").value; var label = document.getElementById("hea-fuel-price-label"); var hint = document.getElementById("hea-fuel-price-hint"); var input = document.getElementById("hea-fuel-price"); if (type === "natural_gas") { label.textContent = "Natural Gas Price ($/therm)"; hint.textContent = "U.S. average ~$1.20/therm for natural gas."; input.placeholder = "e.g. 1.20"; } else if (type === "oil") { label.textContent = "Heating Oil Price ($/gallon)"; hint.textContent = "U.S. average ~$3.50/gallon for heating oil."; input.placeholder = "e.g. 3.50"; } else { label.textContent = "Propane Price ($/gallon)"; hint.textContent = "U.S. average ~$2.50/gallon for propane."; input.placeholder = "e.g. 2.50"; } }

function heaCalc() { var errors = [];

var heatingLoad = parseFloat(document.getElementById("hea-heating-load").value); var cop = parseFloat(document.getElementById("hea-hp-cop").value); var elecRate = parseFloat(document.getElementById("hea-electricity-rate").value); var fuelType = document.getElementById("hea-fossil-fuel-type").value; var fuelPrice = parseFloat(document.getElementById("hea-fuel-price").value); var afue = parseFloat(document.getElementById("hea-furnace-efficiency").value);

if (isNaN(heatingLoad) || heatingLoad 1000) errors.push("Annual heating load must be between 1 and 1000 MMBtu."); if (isNaN(cop) || cop 6) errors.push("Heat pump COP must be between 1.0 and 6.0."); if (isNaN(elecRate) || elecRate 1) errors.push("Electricity rate must be between $0.01 and $1.00 per kWh."); if (isNaN(fuelPrice) || fuelPrice 99) errors.push("Furnace efficiency (AFUE) must be between 50% and 99%.");

var resultDiv = document.getElementById("hea-result"); resultDiv.style.display = "block";

if (errors.length > 0) { resultDiv.className = "calc-result calc-error"; resultDiv.innerHTML = "Please fix the following errors:" + errors.map(function(e){ return ""; }).join("") + ""; return; }

// ── Fuel energy content & unit labels ────────────────────────────────────── // Natural gas: 1 therm = 0.1 MMBtu // Heating oil: 1 gallon = 0.138 MMBtu // Propane: 1 gallon = 0.0915 MMBtu var fuelBtuPerUnit, fuelUnitLabel; if (fuelType === "natural_gas") { fuelBtuPerUnit = 0.1; // MMBtu per therm fuelUnitLabel = "therms"; } else if (fuelType === "oil") { fuelBtuPerUnit = 0.138; // MMBtu per gallon fuelUnitLabel = "gallons"; } else { fuelBtuPerUnit = 0.0915; // MMBtu per gallon fuelUnitLabel = "gallons"; }

// ── Heat Pump Annual Cost ─────────────────────────────────────────────────── // Energy delivered by heat pump = heatingLoad (MMBtu) // Electrical energy consumed = heatingLoad / COP (MMBtu) // Convert MMBtu → kWh: 1 MMBtu = 293.071 kWh var MMBtuToKwh = 293.071; var hpElecConsumption_kWh = (heatingLoad / cop) * MMBtuToKwh; var hpAnnualCost = hpElecConsumption_kWh * elecRate;

// ── Fossil Fuel Annual Cost ───────────────────────────────────────────────── // Fuel consumed = heatingLoad / (AFUE/100) / fuelBtuPerUnit (units) var afueFraction = afue / 100; var fuelUnitsConsumed = heatingLoad / afueFraction / fuelBtuPerUnit; var fossilAnnualCost = fuelUnitsConsumed * fuelPrice;

// ── Savings ───────────────────────────────────────────────────────────────── var annualSavings = fossilAnnualCost - hpAnnualCost; var savingsPct = (annualSavings / fossilAnnualCost) * 100;

// ── Effective COP of fossil fuel system ───────────────────────────────────── // For reference: fossil "COP equivalent" = AFUE fraction (always = 0 ? "Heat Pump" : "Fossil Fuel System"; var savingsAbs = Math.abs(annualSavings); var savingsPctAbs = Math.abs(savingsPct);

var fuelTypeName = fuelType === "natural_gas" ? "Natural Gas" : fuelType === "oil" ? "Heating Oil" : "Propane";

resultDiv.className = "calc-result calc-success"; resultDiv.innerHTML = "### Results " + "" + "Metric" + "Heat Pump" + "" + fuelTypeName + "" +

"Annual Heating Load" + "" + fmt(heatingLoad, 1) + " MMBtu" +

"System Efficiency" + "COP " + fmt(cop, 2) + "" + "AFUE " + fmt(afue, 0) + "%" +

"Energy Consumed" + "" + fmt(hpElecConsumption_kWh, 0) + " kWh" + "" + fmt(fuelUnitsConsumed, 1) + " " + fuelUnitLabel + "" +

"Energy Rate" + "" + fmtUSD(elecRate) + "/kWh" + "" + fmtUSD(fuelPrice) + "/" + (fuelType === "natural_gas" ? "therm" : "gal") + "" +

"Annual Cost" + "" + fmtUSD(hpAnnualCost) + "" + "" + fmtUSD(fossilAnnualCost) + "" + "" +

"= 0 ? "#e8f5e9" : "#fff3e0") + ";border-radius:6px;'>" + "" + cheaper + " is cheaper by " + fmtUSD(savingsAbs) + "/year " + "(" + fmt(savingsPctAbs, 1) + "% savings)." + "" +

"" + "10-year operating cost — Heat Pump: " + fmtUSD(hpAnnualCost * 10) + " | " + fuelTypeName + ": " + fmtUSD(fossilAnnualCost * 10) + "" + "

"; }

#### Formulas Used

Heat Pump Annual Cost:

HP Cost = (Heating Load [MMBtu] ÷ COP) × 293.071 [kWh/MMBtu] × Electricity Rate [$/kWh]

Fossil Fuel Annual Cost:

Fossil Cost = (Heating Load [MMBtu] ÷ AFUE) ÷ Fuel Energy Content [MMBtu/unit] × Fuel Price [$/unit]

Annual Savings:

Savings = Fossil Cost − HP Cost

Fuel Energy Content: Natural Gas = 0.1 MMBtu/therm | Heating Oil = 0.138 MMBtu/gal | Propane = 0.0915 MMBtu/gal

Unit Conversion: 1 MMBtu = 293.071 kWh

#### Assumptions & References

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