You’re presumably thinking of the “Affinity Laws”, which, according to Wikipedia (and plenty of other sources), “apply to pumps, fans, and hydraulic turbines. In these rotary implements, the affinity laws apply both to centrifugal and axial flows.”
This is, IMO, one of the worst kinds of science writing. Wikipedia, and plenty of other sources, make little mention of when the do and don’t apply or, relatedly, why they’re true and why they can’t always be true.
They generally apply to situations where a pump is pumping fluid through something like a filter or a long pipe where the pipe is a closed loop or at least the ends are at the same elevation (e.g. a swimming pool pump, except when pumping from a pool into a higher hot tub). So you have no actual work being done by moving fluid, and you can run the pump slower, and thus move less fluid per unit time, thus reducing friction in a manner that the pressure that the pump needs to overcome goes all the way to zero as the flow rate approaches zero.
But the affinity laws are not really anything fundamental about pumps, and they certainly do not override conservation of energy.
Now consider a refrigerator. The compressor is pumping refrigerant from an (approximately) fixed low pressure to a fixed high pressure. (The fluid goes back from high pressure to low pressure via a capillary tube or expansion valve or similar lossy device -- it gets its pressure increased in the gas phase and decreased in the liquid phase.) There's some friction, but after subtracting friction, the pressure is independent of flow rate, and thus the work done per unit flow is independent of flow rate, and the pump power scales linearly with flow as opposed to super-linearly as the affinity laws suggest.
Also, the compressor is a positive-displacement pump, and the affinity laws don't even pretend to apply to these.
(A well pump is another common system where the affinity laws will lead to nonsensical results. If you want to size a well pump properly, you need to know the height that you're raising the water, the output pressure you need, and the range of flows that you want. And then you look at the actual measured performance curves of the pumps (and their drives) that you are considering, and you pick something appropriate.)
All that being said, variable-speed fridges exist, and they're kind of nice in that they try to run continuously and quietly instead of alternating between full-power (and loud) and all the way off. And they are probably a bit more efficient because there's less friction and because the motors are likely to be more efficient three-phase designs instead of the not-actually-amazing single-phase motors you'll find in older fridges.
Modern continuous variable speed compressor fridges drive me absolutely crazy. They sound like two ceramic plate rubbing together with some maddening flutter.
Some also add incredibly annoying high pitch whines. That seemingly nobody seems to notice but me. In the same vein as coils whine from power supplies and other modern electronic.
Old bang bang fridges are loud, on lower frequency, and with a sound that is more consistent and stable. Not varying one second to the next, which I find easier to ignore.
I have started looking at how reasonable it is to move the compressor of my expensive and low quality 2025 fridge across the wall into the garage (refrigerant capture and refill, brazing new lines etc).
VFDs can produce nasty waveforms, and there are cases where “grounding” could be a big deal, but I think that the wiring of the ground terminal of the power supply is only relevant at all when it’s involved in the connection between the drive and the motor. So, for example, if you have a VFD that is far away from a motor, then you would want to make sure the VFD and the motor’s grounds are connected to each other and maybe even that the VFD’s supply neutral (average of the phases) is reasonably close in voltage to ground, keeping in mind that there may not be an actual neutral wire connected to the VFD, and that the motor’s ground is well connected to the VFD’s ground. By modern standards one should use actual VFD cable and terminate it properly.
https://www.southwire.com/medias/sys_master/related-pdfs/rel...
The outlet are grounded with a thin non insulated copper wire secured to the nearest water copper pipe, itself also bounded to the iron gas pipe (this is 1950 electrical). I am not sure I can call this a solid earth ground.
Thank you for the info!
That drove me crazy for about a week trying to figure out what the noise was coming from... Pinhole water pipe leak? Cat stuck in the flue? Once I realized what it was, I didn't mind it much. It is better than loud old compressors suddenly kicking on and burrr'ing away then stopping.
It would be worth looking into commercial refrigeration as well, you can get a refrigerator with a remote condenser and I’m sure you could find used equipment. Either way you’re going to have to run refrigerant piping and plumb in condensate drains.
However, in preparation for writing this comment I discovered Quiet Mark, which seems promising. https://www.quietmark.com/
Central heating on the other hand... I'm definitely never buying a boiler without opentherm.
(A fridge is producing a temperature difference between the hot gas exiting the compressor and the cold liquid/gas mixture coming out of the expansion valve. The former will be quite a bit hotter than the outside air and the latter will be quite a bit colder than the air inside the fridge. The smaller the value of “quite a bit” the higher the Carnot efficiency would be.)
I’m just a dumb electrical PM who knows enough to be dangerous, and I only know how things like heat exchangers, pumps, and fans work on a very basic level so this is illuminating.
Properly sized multistage A/C systems are a much better idea.
You are correct about soft-starters being a lot simpler and requiring less maintenance, as it’s more or less just another contactor inside a regular across-the-line starter with some extra control wiring to handle the extra contactor. Adding an inverter, rectifier, and solid state electronics does make the complexity much higher.
Here's the full clip: https://www.youtube.com/watch?v=ioyU_sZufC8
Now, if the author would like to break their New refrigerator and report back, I’ll take it as an interesting result.
But at the end of the day the question is what is the likelihood the old fridge will be in a semi-broken state.
I'd argue that in general, refrigerators are one of the few devices that came out of the energy efficiency mandates as better products.