Help with Electronic Speed Controller:

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Gregorylights

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Looking for some help with a Electronic Speed Controller for a Remote Controlled Car:

I'm looking to get more power from the Speed Controller so it can be applied to the motor:

I was told I could swap the MOSFETs to lower resistance and create more power to the motor:

I'm not very well skilled with Circuit Boards so looking for some help on how I should go about creating some more power from the speed controller to the motor:

I am attaching a few pics to see what I'm working with:

Thanks for the help:
 

First you want to understand the speed control principles.
Motor speed follows voltage. Look at the voltage applied
to the motor and the voltage sourced at the battery. If
they are equal, in-the-moment (like, don't measure the
motor under load and the battery open-circuit) then the
only help for you is more voltage (and circuitry that can
deal & deliver).

If the output is PWM controlled then the switch FETs
may be always-on at the top end. However if there
remains a minimum off time in the duty cycle, you may
be able to squeeze more out of it by removing whatever
is the duty-cycle bind.

If it's a linear controller (which you'd think unlikely
since you mention MOSFETs) the driver could cost too
much headroom and replacing it with better, helpful.
Again the voltage measurements around the motor
current loop will tell you.

Pick a ground point and measure from there to every
step around the circuit : battery +, controller +,
controller output, motor +, motor -, battery - ....
Some of this may appear redundant but it's better
to measure something twice, than leave an unknown.
Draw out the power circuit and annotate the voltages.
Now you will see where any drops are - or if none,
other than the motor, that's useful information too.
 

Well here may be a little helpful info.. I will post pics in a few my phone will not allow me to do so..

Supplied Voltage from battery is 4.22 Volts Fully Charged with voltage dropping to 3.9 in 4.0Min:

Motor Amp Draw is 2.0 - 3.0 Amps adjustable threw motor timing:

The Speed Controllers On Resistance is between .0004 and .0003

The Speed Controller has a built in Timing advance but our goal is to achieve a Timing advance without adjusting the speed Controller Electronically threw software programming but rather internally threw the Circuit board:
 

Assuming that now the car is performing normally, will the motor burn out if you apply more power to the motor?
The maximum power to the motor can be controlled by the source voltage..

For a programmed control of the speed the PWM method is best, with only one Mosfet in series with the motor. The Linear mode could cause great power loss, heat and inefficient control in digital if not perfectly designed...
 

battery is 4.22 Volts dropping to 3.9 in 4.0Min:

Motor Amp Draw is 2.0 - 3.0 Amps , On Resistance is between .0004 and .0003

The Speed Controller has a built in Timing advance ...:


Your motor draws over 12 Watts while the controller loses I^2*R=3^2*0.0004 =0.0036 Watts, so there is no loss to gained with MOSFETS.. They also certainly exceed your budget with this low RdsON.

So your assumptions are off, I would suggest.
 

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