Auxiliary Power Used Formula

The formula calculates the electrical power in kilowatts based on voltage, current, power factor, and phase, adjusts for operating time, then converts to BTU/hr using the conversion constant.

\begin{equation}\label{eq:aux-power-used} Q_\text{aux} = \sqrt{P} \cdot V \cdot I \cdot PF \cdot OT \cdot \frac{1}{1000} \cdot k_{\text{kW}\to\text{BTU/hr}}\end{equation}

Symbols

\(Q_\text{aux}\)	Auxiliary power used \([\unit{ \btu\per\hour}]\)
\(P\)	Number of motor phases \([\unit{ \unitless}]\)
\(V\)	Supply voltage \([\unit{ \volt}]\)
\(I\)	Average current \([\unit{ \ampere}]\)
\(PF\)	Power factor \([\unit{ \unitless}]\)
\(OT\)	Operating time (fraction, 0-1) \([\unit{ \unitless}]\)
\(1000\)	Conversion from watts to kilowatts \([\unit{ \watt\per\kilowatt}]\)
\(k_{\text{kW}\to\text{BTU/hr}}\)	Conversion factor - see physics::conversions::kKilowattToBtuPerHour \([\unit{ \btu\per\hour\per\kilowatt}]\)