I currently have a 6s setup, soon to be 12s and am wondering if I need to adjust my gear ratio for this transition if the torque is affected by voltage. My intuition tells me it wont be but then I think this can’t be true…

If this is not true then where does that extra energy go when hammering the throttle? As Voltage X Amps = Power

If you had two boards that we’re identical, one on 6S and one on 12S, the 12S board would have double the top speed, and presumably similar or identical torque.

However, if you adjusted the gearing (or kV) to make the top speed of the boards identical, the 12S board would have double the torque.

Theoretically I think that’s how it would work out.

Sorry man but this isn’t correct.
As Janis stated above, POWER equals torque. So assuming all else equal, a 6s system running at 30 amps will be making half the speed AND half the torque as the same system on 12s at 30 amps.

IE if current is constant then torque is constant.
if voltage is constant then speed is constant.

The torque will likely be higher on a 12S system, not because there is a higher voltage but because you will likely use a higher gear ratio to get the desired top speed. Assuming all gear ratios and current draws are constant then 12S and 6S are identical in terms of torque.

@t0m_r1dd1e At the end of his post It looks like he forgot to say if you double the voltage and current that you will double speed torque and quadruple power. If you just double voltage you will double power and speed. But not torque.

Thanks for the explanation. I’m really trying to get my head around this.

I found something else: On the wiki page for Torque, it shows various formulas involving torque and one of them is this:

Power = torque * 2pi * rotational speed.

So where you said “If you just double voltage you will double power and speed.” yes that’s true, OR if you double voltage and keep rpm constant, you will have double the torque at that speed.

And also like you said, if you double speed and torque, it takes 4 times the amount of power.

At least that’s what’s making sense in my head right now. If I’m still wrong, please explain.

you can correct me if I’m wrong but in my experience that is not possible. When you double voltage you will double speed, assuming you dont load the motor. When I am riding my board it doesn’t matter how little I press on the throttle, eventually the board reaches top speed. IE the controller only effects current and can’t slow down the motor. It can only control how much torque the motor exterts. So unless there is a lot of friction/wind/a hill, double voltage == double speed.

Let’s say two identical boards, 6s and 12s, each travelling at a constant 10mph. If they’re identical boards, with the same rider weight, on the same road surface with the same hill grade, wind etc, then torque is the same on both boards, right? Torque is however much rotational force is equal to the resisting forces of friction, gravity, wind resistance, etc.

So if torque and rotational speed are equal, then the boards power output is the same.
Power of board 1 = Power of board 2

And since power = voltage * current:
12s * 0.5 current = 6s * 1 current

Would identical 12s and 6s boards be able to draw the same amount of current? This means that a 12s board on same gearing ratio, kv, wheel size would have more torque if the statement above is correct right?

I will be making the conversion in a couple of weeks so I can put some practical tests behind this. Once I do this I will be excited to show off my first build!!

If my statement is right, then yes. But I’m in no means certain about that. I’m still trying to work through and understand it. But yes, a 12s and a 6s should be able to output the same current, all other things (number of cells in parallel, type of cells, BMS fuse) equal.

Very cool! Do you have a way of measuring current with your 6s setup before doing the conversion? If you have a VESC and a bluetooth module you can do it. I’d love to see how it compares to the 12s current draw on the same road at the same speed.

My understanding is that the theoretical maximum speed is voltage x KV which is where back emf balances out the battery voltage, and that as the motor accelerates towards that speed the current draw decreases and so does torque proportionally. From maximum current draw at stop and min at KV x voltage.

So in the 6S / 12S example
At any given speed the 12S motor is further from max speed and therefore drawing more current and therefore has more torque at any given speed.

If the 12S didn’t have more torque at the 6S max speed then it wouldn’t be able to accelerate beyond that speed as the forces of resistance would be in balance with the torque produced.

Further tho’ as max available amps the motors can draw hasn’t changed, at peek load, (starting from standstill, steep hill) the max torque may be the same for both.

That’s how I’d understood it but I’m learning myself

Early on I had a setup with 2 6s Lipos connected with bullet connectors and I could easily switch them from series to parallel.
12s 5ah or 6s 10ah
The 12s option was a lot faster with a lot more torque than the 6s option which I only used for slow cruising on the board walk around lots of pedestrians.
These comparisons where made with same batteries, motors, gears, wheels and everything else.
So the answer to “Does just raising voltage render more torque”, Yes it does!

I have no explanation or equations to back this up, just some real life comparison road testing.

You do not need to go any further than this statement to get your answer. Specifically this: [quote=“t0m_r1dd1e, post:14, topic:23932”]
torque and rotational speed are equal, then the boards power output is the same.
[/quote]

If your speed is the same, your torque at said speed is also the same.

No. They can provide the same amount of power. So if you have a 12s that can do 30A and then place the halves in parallel, the resulting 6S can do 60A

In this example, you just doubled the number of cells. You doubled the number of cells in series and kept the number of cells in parallel the same. This means that the 12S pack has twice the power than the 6S because it has twice as much battery