** **# Basic Operation

ElectriCalc is based on the ideal motor equations, which model a DC motor as a
combination of ideal devices. This model consists of an ideal resistance in
series with the parallel combination of an ideal current source and an ideal
motor. The ideal motor attempts to turn its load at a speed that is directly
proportional to its input voltage. The constant **Kv** is the ratio of RPM to voltage. This motor would draw a bizillion amps if the
load were large enough, but the series resistance (or sometimes a fuse) limits
this. The current source is the constant **Io** which describes the amount of current necessary to get the motor moving but
which does not contribute to output power. The ideal resistance is **Rm**.
To model the load due to the propeller, an equation is used that relates
propeller power to prop diameter, pitch, RPM, and constants that describe a manufacturer's particular style of props.
To power the motor model, the power source is characterized as an ideal voltage source in series with an ideal
resistance. The voltage is the nominal cell voltage times the number of cells. The
resistance is the internal cell resistance times the number of cells plus the wiring
resistance plus the resistance of the speed control.
Hooking this up mathematically basically is done with a quadratic equation for
current. The result is used to calculate the other motor-related parameters.
Finally, the results can be tied in with an empirical thrust equation to
calculate thrust. This is combined with some rudimentary aerodynamic parameters to
estimate drag, climbing ability, stall speed and top speed.