Thermal Comfort Simulator: Fanger's PMV-PPD Model Calculator

simulator intermediate ~10 min
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PMV = -0.2 — comfortable (6% dissatisfied)

At 22°C, 50% RH, 0.1 m/s air velocity, and sedentary activity (1.2 met), the PMV is -0.2 (slightly cool side of neutral) with only 6% predicted dissatisfied — well within the ASHRAE comfort zone.

Formula

PMV = [0.303 × exp(-0.036M) + 0.028] × L
PPD = 100 - 95 × exp(-0.03353 × PMV⁴ - 0.2179 × PMV²)
L = (M-W) - heat_losses(T_a, T_r, RH, v_a, clo)

Quantifying Comfort

Thermal comfort is deceptively complex — it depends on air temperature, radiant temperature, humidity, air movement, clothing, and physical activity, all interacting simultaneously. In 1970, P.O. Fanger at the Technical University of Denmark published a landmark model that combines these six factors into a single Predicted Mean Vote (PMV) on a -3 to +3 scale. His work, based on experiments with over 1300 subjects, remains the foundation of all modern thermal comfort standards.

The Heat Balance Equation

The human body is a heat engine that must maintain core temperature near 37°C. Metabolic heat production (from food metabolism and muscular work) must be balanced by heat losses through radiation, convection, evaporation, and respiration. The PMV model calculates this balance: when losses equal production, PMV is zero (neutral). When the body retains heat, PMV is positive (warm); when it loses too much, PMV is negative (cool).

The PPD Curve

Even at perfect thermal neutrality (PMV = 0), Fanger found that 5% of people remain dissatisfied — human thermal preference has inherent variability. The PPD curve shows that maintaining PMV between -0.5 and +0.5 keeps dissatisfaction below 10%, which is the target specified by ASHRAE Standard 55 and ISO 7730. Outside this range, dissatisfaction rises sharply: at PMV = ±2, over 75% of occupants are uncomfortable.

Practical Applications

Building HVAC systems are designed and controlled to maintain thermal comfort. The PMV model guides thermostat setpoints, humidity control strategies, and air distribution design. In offices (1.0-1.2 met, 0.5-1.0 clo), the comfort zone is typically 20-26°C depending on season. This simulation lets you explore how each parameter shifts the comfort perception and identify which environmental adjustments most effectively restore comfort.

FAQ

What is the PMV model?

The Predicted Mean Vote (PMV) model, developed by P.O. Fanger in 1970, predicts the average thermal sensation of a large group of people on a 7-point scale from -3 (cold) to +3 (hot). It combines six factors: air temperature, radiant temperature, humidity, air velocity, metabolic rate, and clothing insulation to calculate the body's heat balance.

What does PPD mean?

Predicted Percentage of Dissatisfied (PPD) converts the PMV into the percentage of people who would find the thermal environment unacceptable. Even at PMV = 0 (thermal neutrality), PPD is 5% because individual variation means some people are always uncomfortable. The ASHRAE 55 comfort zone requires PPD < 10% (PMV between -0.5 and +0.5).

What is a met unit?

One met equals 58.2 W/m² of body surface area, representing the metabolic rate of a sedentary person at rest. Typical values: sleeping 0.7 met, seated office work 1.0-1.2 met, standing light work 1.6 met, walking 2.0 met, heavy manual labor 3.0-4.0 met. Higher metabolic rates shift the comfort zone to lower temperatures.

How is thermal comfort used in building design?

ASHRAE Standard 55 and ISO 7730 use the PMV-PPD model to specify acceptable thermal conditions for occupied spaces. HVAC systems are designed to maintain PMV between -0.5 and +0.5 for at least 80% of occupied hours. Green building certifications (LEED, WELL) require thermal comfort surveys and monitoring.

Sources

Embed

<iframe src="https://homo-deus.com/lab/ergonomics/thermal-comfort/embed" width="100%" height="400" frameborder="0"></iframe>
View source on GitHub