Upnorth said:
I have a “working understanding” of ohms law.....
But don’t have a good grasp on this:
If I “lug” a motor, ie leaving my ebike in a high gear and heading up a hill, is it more likely to burn up with a higher voltage.
My thoughts are that low voltage would cause higher amps, amps means heat..... so to get more power with less heat more volts is good.
But..... with more volts comes more watts, motors are usually stamped with a watt limit, not a volt or amp limit....
Of course high volts is very hard on the controller and apparently above 58vlts DC very bad things can happen to humans.....
Are you after a technical answer, or a simple one?
Motors are not a straight resistive load. So it's not that a "1000W" motor run at 50V, means 20A all the time, and a 20V motor means 50A all the time.
The amount of power that can be "sent" to a motor depends on the back-EMF - I.E. the electricity that is generated in the opposite direction while the wheel is spinning. Think about it logically - If a wheel can spin at 1000rpm with 50v applied, then if it was rolling down a hill at 1000rpm, it will generate 50v back the other direction. At that point, there's no potential difference, and no current flows.
On the other hand, when the wheel is stationary, there is no back-emf, and so the motor is effectively a short circuit - it will consume as much power as your power source will give, and since no battery is "ideal", the current will pull the voltage down.
So how does this work? Let's say you have a very high voltage source. 100V. This should get you to 100km/h with no load. However, going up a hill in the wrong gear, you get slowed to 20km/h. Because at that speed, you'd be generating "20v" worth of Back-EMF (This is definitely NOT the right way to define back-EMF, but I don't understand the actual maths enough to give you the right answer, just enough knowledge to be dangerous). This leaves you a potential difference of 80v - At 80v and the resistance of the motor, you can pump in a huge amount of current, and if your controller doesn't limit this, something will burn out.
If you used a 24v battery, your top speed would only be 24v. Lugging it up the hill, you're already very close to your top speed, your back EMF will be 20v, leaving only a 4v potential difference. 4v at the resistance of your motor will be very, very few amps, and so even if your controller should be able to pump out more amps, the motor simply won't take it.
There is a chance that I am wrong, and if I am, I hope someone comes here to correct me, and educate me. But based on a bit of high school physics and watching some university lectures on open education websites, this is my simplified version of how I understand it.