Stall Torque Calculator
Calculate maximum locked-rotor torque, stall current, and peak mechanical power for DC/BLDC motors.
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What Is Stall Torque?
Stall torque is the maximum torque a motor produces when:
- The motor shaft is not rotating
- The speed is 0 RPM
- Back EMF is zero
At this point, the motor draws its highest current. That is called stall current.
In simple terms:
Stall torque = Maximum twisting force at zero speed.
This is common in:
- DC motors
- BLDC motors
- Robotics actuators
- RC vehicles
- Electric bikes
- Industrial drives
Why Stall Torque Matters
Understanding stall torque helps you:
- Size a motor correctly
- Avoid overheating
- Prevent winding damage
- Choose the right ESC or driver
- Design gear systems properly
If a motor stalls under load for too long, it can burn out in seconds.
That is why a stall torque calculator is useful before you build anything.
Key Inputs in the Stall Torque Calculator
The calculator uses three main electrical inputs.
1. Nominal Voltage (V)
This is the operating voltage of your motor system.
Example:
- 12V
- 24V
- 48V
Higher voltage increases:
- Stall current
- Stall torque
- No-load speed
2. Terminal Resistance (R)
This is the phase-to-phase resistance of the motor windings, measured in ohms.
Typical values:
- Small motor: 0.5–2 ohms
- High power motor: 0.05–0.2 ohms
Lower resistance means:
- Higher stall current
- More heat
- Greater risk if stalled
3. Motor Constant (KV or Kt)
The calculator allows two modes:
Option A: KV Rating (RPM per Volt)
KV tells you how fast the motor spins per volt applied.
Example:
- 300 KV motor
- 1000 KV motor
Higher KV:
- More speed
- Less torque per amp
Option B: Torque Constant (Kt in N·m/A)
Kt tells you how much torque is produced per amp.
Example:
- 0.032 N·m/A
- 0.08 N·m/A
Higher Kt:
- More torque per amp
- Lower maximum RPM
Relationship Between KV and Kt
The calculator converts between KV and Kt automatically.
Formula used:
Kt (N·m/A) = 9.549296 / KV
This comes from motor physics and unit conversion between RPM and radians per second.
So if you enter KV, the calculator finds Kt.
If you enter Kt, it calculates KV.
Core Calculations Explained
Let’s walk through what the calculator computes.
1. Stall Current
At stall:
- Back EMF = 0
- Current is limited only by resistance
Formula:
Istall = V / R
Example:
If:
- Voltage = 24V
- Resistance = 0.2Ω
Then:
Istall = 24 / 0.2 = 120A
That is a very large current.
2. Stall Torque
Torque is:
Tstall = Kt × Istall
If:
- Kt = 0.03 N·m/A
- Istall = 120A
Then:
Tstall = 3.6 N·m
This is the maximum theoretical torque at zero speed.
3. No-Load Speed
The calculator computes theoretical no-load RPM:
RPM₀ = V × KV
If:
- 24V
- 300 KV
Then:
RPM₀ = 7200 RPM
This assumes no friction or losses.
4. Peak Mechanical Power
Maximum mechanical power does not happen at stall.
It happens at:
- Half of stall torque
- Half of no-load speed
The calculator uses:
Pmax = (Tstall / 2) × (ω_noLoad / 2)
Where angular speed is converted to radians per second.
This gives peak output power in watts.
5. Thermal Heat at Stall
At stall, all input power becomes heat.
Formula:
Pheat = V × Istall
This is dangerous.
If your motor stalls at:
- 24V
- 120A
Then:
Pheat = 2880 watts of heat
That can destroy a motor very quickly.
Unit Conversions Provided
The calculator also converts torque into:
- N·m (primary unit)
- oz-in
- kg-cm
This is helpful because:
- Robotics often uses kg-cm
- RC industry often uses oz-in
- Engineering uses N·m
Visual Power Comparison
The calculator includes a visual bar showing:
- Peak mechanical power (green)
- Heat loss at stall (red)
This helps you quickly see:
- How much useful power you can get
- How much energy becomes heat
In most motors, stall heat is much larger than usable mechanical output.
Engineering Insight: Why Stall Is Dangerous
When stall current is very high (for example over 150A):
- Copper windings overheat
- Insulation melts
- Neodymium magnets demagnetize
- ESC can fail
Even a few seconds at stall can cause permanent damage.
That is why current-limiting ESCs are critical.
Practical Example
Let’s say you have:
- 24V system
- 0.15Ω resistance
- 300 KV motor
Results would show:
- Very high stall current
- High stall torque
- Large heat generation
- Peak power at half no-load RPM
This tells you:
- Never let this motor remain stalled
- Use gearing
- Use current limiting
How to Use the Stall Torque Calculator Properly
- Enter system voltage
- Enter terminal resistance
- Select KV or Kt mode
- Input constant value
- Click “Calculate Dynamics”
Then review:
- Stall torque
- Stall current
- Peak mechanical power
- Thermal warning message
If values look extreme, redesign before building.
Common Mistakes to Avoid
Ignoring Resistance Accuracy
Small error in resistance causes large current error.
Measure carefully with:
- Four-wire measurement
- Accurate ohmmeter
Assuming Stall Torque Is Continuous Torque
Stall torque is not safe operating torque.
Continuous torque is much lower.
Forgetting Cooling Limits
A motor on a bench behaves differently than:
- Inside a robot
- Inside a sealed housing
- In hot weather
Heat builds up fast.
When Should You Use a Stall Torque Calculator?
Use it when:
- Designing robotic arms
- Building electric scooters
- Choosing BLDC motors
- Selecting motor drivers
- Designing gear reductions
- Checking ESC limits
It saves time and prevents costly mistakes.
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