We are trying to estimate the power required by HVAC to obtain a desired temperature which we also forecasted based on historical data of occupant behavior and environmental parameters. Is there any theoretical equation that we can use to estimate the HVAC energy to obtain a desired temperature using the historical data of the outdoor temperature and the indoor temperature of the zone .
Hello Shahnewaz,
As a first simple approach under steady state conditions (i.e. ignoring the thermal capacitance) you can calculate the thermal resistance of the building (structure) walls and then use the temperature difference (indoor and outdoor) to obtain the cooling power.
Pcooling = abs(Tindoor - Toutdoor) / Rthermal
As Michalis wrote, you need the history of HVAC delivered or used power together with the history of indoor and outdoor temperature. In addition, if the building is not well protected from the solar radiation, you also need the history of solar radiation. You may then calibrate a simple model such as the one proposed by Michalis or a simple dynamic model including internal capacitace(s). Such a dynamic model is proposed in the old standard EN-ISO 13790 or more recent ISO 52017-1.
No serious prediction can be made on the history of internal and external temperature only.
This could be useful:
"Investigating Occupancy-Driven Air-Conditioning Control Based on Thermal Comfort Level"
https://ascelibrary.org/doi/abs/10.1061/%28ASCE%29AE.1943-5568.0000295
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