5.4 Coasting Distances for Dynamic Braking
5.4.1 Coasting Distance during Dynamic Braking
5-18
5.4
Coasting Distances for Dynamic Braking
During dynamic braking, the motor rotates due to inertia until the electrical energy is con-
sumed. The travel distance at this time is called the coasting distance.
This section provides a method for calculating the coasting distance.
5.4.1
Coasting Distance during Dynamic Braking
The coasting distance must be checked with the actual equipment, but it can be approximated
with the following formulas.
Rotary Servomotors
The coasting distance can be calculated with the following formula.
θ
= J{
α
(R
D
+ Zm)Nm
0
+ (
β
×
N
3
m
0
) / (R
D
+ Zm)} + (Nm
0
/60)
×
T
D1
× 360 [deg]
Calculate the coasting distance using the above formula based on the following conditions.
•
θ
[deg]: Coasting distance (mechanical angle)
•
J [kgm
2
]: Moment of inertia (motor moment of i load moment of inertia)
•
R
D
[
Ω
]: Resistance of Dynamic Brake Resistor
•
Nm
0
[min
-1
]: Motor speed before starting dynamic braking
•
α
,
β
: Coasting distance coefficients
*1
•
Zm: Characteristic impedance
*1
•
T
D1
[s]: Dynamic brake operating time
*2
*1.
Refer to the following section for details on the coasting distance coefficients and characteristic impedance.
5.4.2 Data for Calculating Coasting Distance
*2.
Refer to the following section for details on the dynamic brake operating time.
Selecting the Magnetic Contactor and Relay
Linear Servomotors
The coasting distance can be calculated with the following formula.
Lm = M{
α
(R
D
+ Zm)Vm
0
+ (
β
×
V
3
m
0
) / (R
D
+ Zm)} + Vm
0
×
T
D1
[m]
Calculate the coasting distance using the above formula based on the following conditions.
•
Lm [m]: Coasting distance
•
M [kg]: Conveyed mass (Moving Coil mass + load mass)
•
R
D
[
Ω
]: Resistance of Dynamic Brake Resistor
•
Vm
0
[m/s]: Movement speed before starting dynamic braking
•
α
,
β
: Coasting distance coefficients
*1
•
Zm: Characteristic impedance
*1
•
T
D1
[s]: Dynamic brake operating time
*2
*1.
Refer to the following section for details on the coasting distance coefficients and characteristic impedance.
5.4.2 Data for Calculating Coasting Distance
*2.
Refer to the following section for details on the dynamic brake operating time.
Selecting the Magnetic Contactor and Relay
CAUTION
There will be a margin of error between the value calculated for the coasting distance and
the actual distance. Therefore, evaluate the operation of the dynamic brake with the actual
equipment or machine and confirm that the coasting distance is acceptable.
There is a risk of machine damage or injury.