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Appendix 2. Selection 
 
 
 
 
 
A2 - 7
 
(2)  For unbalance axis 
The regenerative energy differs in the upward stop and downward stop for an unbalance axis. A 
constant regeneration state results during downward movement if the unbalance torque is the 
same as or larger than the friction torque. 
 
 
Regenerative energy 
A regenerative state only occurs when deceleration torque (downward torque) is generated. 
E
RU
 = 5.24
10
-5 
 
 
 
T
du 
 
 
t
d
 – Ec   (J) 
   (
2-7) 
 
: Motor reverse efficiency 
 
 
T
du
: Upward stop deceleration torque 
(N
m) 
 
N
: Motor speed 
(r/min) 
 
t
d
: Deceleration time (time constant)   
(ms) 
Upward stop 
 
Ec
: Unit charging energy 
(J) 
A regenerative state occurs even during constant rate feed when the upward torque Ts during dropping is 
generated. 
Calculate so that Ts = 0 when Ts is downward. 
2
 
 
 
 
T
 L 
E
RD
 = 
∆S 
+ 5.24 
 10
-5  
 
 
T
dd 
 
 
t
d
 – Ec   (J) 
   (
2-8) 
 
: Motor reverse efficiency 
 
 
T
s
: Upward torque during dropping 
(N
m) 
 
: Constant speed travel 
(mm) 
 
∆S : Travel per motor rotation 
(mm) 
 
T
dd
: Downward stop deceleration torque  (N
m) 
 
N
: Motor speed 
(r/min) 
 
t
d
: Deceleration time (time constant) 
(ms) 
Downward stop 
 
Ec
: Unit charging energy 
(J) 
The regenerative energy per cycle (E
R
) is obtained using expression (2-9) using one reciprocation as one cycle.
E
R
=E
RU+
E
RD
      (J) 
   (
2-9) 
 
 
 
 
 
(Example) 
 
Using a machine tool vertical axis driven by an HF153 motor, reciprocation is carried out with F30000 at an 
acceleration/deceleration time constant of 100ms for a distance of 200mm. Obtain the regenerative energy 
er reciprocation operation in this case. 
p
 
Where:  Servo drive unit 
: MDS-R-V1-80 
Travel per motor rotation 
: 10 mm 
Upward stop deceleration torque 
: 20 N
Downward stop deceleration torque 
: 30 N
Upward torque during downward movement  :  3 N
 
Using expression (2-7), the upward stop regenerative energy E
RU
 is as follows: 
 
E
RU
 = 5.24
10
-5
0.85203000100 – 46 = 221.2 (J) 
 
The acceleration/deceleration distance required to accelerate at the 100ms acceleration/deceleration time 
onstant to 30000mm/min. is as follows: 
c
 
30000
100 
 
2
601000 
= 25 (mm) 
 
Therefore, the constant speed travel is 150mm. 
T
 
he downward stop regenerative energy E
RD
 is obtained using the following expression (2-8). 
2
0.853150 
E
RD
 = 
10 
+ 5.24
10
-5
0.85303000100 – 46 = 595.2 (J) 
 
Thus, the regenerative energy per reciprocation operation E
R
 is as follows: 
 
E
R
 = 221.2 + 595.2 = 816.4 (J)