Detailed Braking Resistor Selection 
When the usage rate of the braking resistor selected on 
the previous page exceeds 10% ED, or when an 
extremely large braking torque is required, use the 
method below to calculate a regenerative energy and 
make your selection. 
 
Calculation of Required Braking Resistance
Sp 
 
Braking Resistor Selection
Select a braking resistor from the required braking resistance 
and the average regenerative energy described on the left 
section. 
• Required braking resistance ≥ Resistance of braking 
resistor ≥ Min. connection resistance of inverter or 
regenerative braking unit 
• Average regenerative energy ≤ Resistance capacity of 
braking resistor 
 
 
 
Tor 
 
 
 
 
 
   
 
 
 
 
 
 
 
 
 
 
 
 
Note) 
 
1. 
Connecting a braking resistor whose resistance is less than the 
minimum connection resistance value of the inverter or regenerative 
braking unit results in damage to the internal braking transistor. If the 
required braking resistance is less than the minimum connection 
resistance, change the inverter or regenerative braking unit to one 
having a larger capacity and ensure that the required braking 
resistance is not less than the minimum connection resistance.
 
2. 
Two or more regenerative braking units can be connected in parallel. 
Refer to the following formula to know the braking resistance value in 
such a case: Braking resistance [
] = (Required braking resistance 
calculated as above) x (No. of units)
 
3.  
Make allowance for the resistance capacity of the braking resistor. 
Select a braking resistor whose capacity is at least 20% larger than
 
 
 
Note: Calculate a braking torque according to Inverter Capacity Selection in 
the Motor Capacity Selection section.
 
the calculated value. Otherwise, it may be overheated.
 
 
 
Calculation of average regenerative energy 
Regenerative energy is produced when the motor 
rotation and the torque are opposite in direction. 
Use the following formula to calculate the regenerative 
energy for each period in a cycle. 
 
Speed 
 
 
 
 
 
Torque
 
 
For horizontal load
 
 
 
 
 
 
 
 
Time
 
 
 
P : Regenerative energy in Period 
1 [J]
 
N:  Motor rotation speed [r/min] 
When the number of rotations 
changes, take an average 
value.
 
For linear deceleration 
(N max+N min)/2
 
 
 
 
Speed 
Period 1 
 
 
For vertical load
 
Period 2 
T:  Deceleration torque [N·m]
 
t:
 
Deceleration time [s]
 
•  For the average regenerative 
energy, calculate the time 
average by adding the 
regenerative energy for all 
periods in a cycle and dividing it 
by the cycle time, as shown 
below.
 
Torque
 
 
Time
 
Average regenerative energy [W] =
 
Period 1 
Period 2 
Period 3 
 
1 cycle time [s]
 
 
Note) 
1. 
For Speed, the forward rotation direction is indicated as 
positive. For Torque, the torque in the forward rotation direction 
is indicated as positive.
 
2. 
Calculate a braking torque according to Inverter Capacity 
Selection in the Motor Capacity Selection section.