Energy balance of the loop
What goes in, what comes out, and the ratio — stated addition, nothing hidden?
- r
- Output over input
- Pout
- Pickup mean power, W
- Pd
- Drive copper loss, W
- Pp
- Pump electrical power, W
- I1
- Drive pulse current, A
- Rd
- Drive coil resistance, Ω
- Dd
- Drive duty, %
LaTeX
r = \frac{Pout}{Pd + Pp}, \qquad Pd = I1^{2} \cdot Rd \cdot \frac{Dd}{100}
Method
- The drive coil's mean copper loss is the pulse current squared, times the coil's resistance, times the fraction of the time the pulse is on.
- The power in is that loss plus the pump's electrical draw. The hydraulic power is not added: it is part of what the pump draws, and is reported only as the pump's efficiency, hydraulic over electrical.
- The ratio is the pickup's mean power into its load over the power in. It is stated as a number; what it means is for the reader.
Assumptions
- The drive's loss is its copper loss only. Switching losses in the driver, the supply's own inefficiency and the energy dumped from the coil at the end of each pulse (½LI², which a freewheel diode turns to heat) are all additional inputs the wall pays for and this page does not count — so the input is, if anything, understated.
- The pump's electrical power is what the meter reads, not the motor's nameplate; the two differ, and the nameplate is the larger.
- The pickup power is the mean into the load, taken from the loaded-output page. Peak power is larger by the inverse of the duty and is not a power the load can use.
- Nothing here is Meyer's. The estate material gives the pump and the speeds and makes a claim of output; this page is addition over the other pages' figures, and the archive takes no position on the ratio beyond insisting that every term of it be visible.