Enter the maximum temperature, minimum temperature, and base temperature into the calculator to determine the signed degree-day value (positive = cooling, negative = heating). This calculator can also evaluate any of the variables given the others are known.
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Degree Day Formula
The following formula is used to calculate the signed degree-day value for a single day (average temperature departure from the base temperature). A positive result corresponds to cooling conditions; a negative result corresponds to heating conditions.
DD = (Tmax + Tmin) / 2 - Tbase
Variables:
- DD is the signed degree-day value (°C-days or °F-days)
- Tmax is the maximum temperature for the day (°C or °F)
- Tmin is the minimum temperature for the day (°C or °F)
- Tbase is the base temperature (°C or °F)
To calculate the degree days, add the maximum temperature for the day to the minimum temperature for the day. Divide the result by 2 to get the average temperature for the day. Subtract the base temperature from the average temperature to get the signed degree-day value (DD).
What is a Degree Day?
A degree day is a measurement used in weather and energy management to quantify how much (and for how long) outdoor air temperature is above or below a chosen base temperature. A common base temperature used in the U.S. is 65°F (≈18.3°C), while some datasets use 18°C (≈64.4°F) depending on the application and region.
In standard reporting, degree days are usually split into:
- Cooling Degree Days (CDD) = max(0, ((Tmax + Tmin)/2) − Tbase)
- Heating Degree Days (HDD) = max(0, Tbase − ((Tmax + Tmin)/2))
This calculator uses the signed form DD = ((Tmax + Tmin)/2) − Tbase so that you can solve for any of the variables. If DD > 0, then CDD = DD and HDD = 0. If DD < 0, then HDD = −DD and CDD = 0.
How to Calculate Degree Day?
The following steps outline how to calculate the Degree Day using the formula: DD = (Tmax + Tmin) / 2 – Tbase
- First, determine the maximum temperature for the day (Tmax) in °C or °F.
- Next, determine the minimum temperature for the day (Tmin) in °C or °F.
- Next, determine the base temperature (Tbase) in °C or °F.
- Use the formula DD = (Tmax + Tmin) / 2 – Tbase to calculate the signed Degree Day value (DD).
- Interpret the sign: if DD is positive, it corresponds to cooling (CDD = DD). If DD is negative, it corresponds to heating (HDD = −DD).
Example Problem:
Use the following variables as an example problem to test your knowledge.
Tmax = 25°C
Tmin = 15°C
Tbase = 10°C
