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2 basic inverter drive mechanics, 1 torque, 2 rotator and linear operator outputs – Yaskawa Varispeed 626M5 User Manual

Page 278

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Appendix

15.2.1 Torque

15 -6

15.2 Basic Inverter Drive mechanics

This section explains the torque, motive power, and inertial moment that are the basis of selecting motor and

inverter capacities.

15.2.1 Torque

Torque is a moment of force that causes the rotation axis on the rotator to rotate about a center. As shown

in Fig. 15.7, when external force f (N) is used in a tangential direction at point P, which is separated by

the distance r (m) only from the center of rotation O, the torque T can be expressed using the following

formula.

T = f r

(N

m)

r

O

P

f

0

f

Fig 15.7 Torque Definition

Also, as shown in Fig. 15.8, if a gearbox is used, the torque increases and decreases proportional to the

shifting gears, so taking motor axis speed N

M

(min

−1

) and load axis speed N

L

(min

−1

), the motor axis calcu-

lated torque T

M

(NSm) can be expressed using the following formula.

T

M

=

N

L

T

L

N

M

=

T

L

a

(N

m)

Motor

Motor axis

N

M

(min

−1

)

T

M

N

L

(min

−1

)

Load axis

T

L

J

L

(kg m

2

)

Load machinery

(Gear ratio a =

)

N

L

N

M

Inertial moment

Fig 15.8 Torque when a Gearbox Is Used

15.2.2 Rotator and Linear Operator Outputs

Using torque T (NSm) on the rotator, the output P

R

during rotation at speed N (min

−1

) can be expressed

using the following formula.

P

R

= 2

π

NT

60 = 0.1048

NT

(W)

As shown in Fig. 15.9, taking the force F (N), which is used on the speed V (m/min.) and the load, the output

P

L

when performing linear operations can be expressed using the following formula.

P

L

= FV

60 = 0.0167

FV

(W)

N (min

−1

)

V (m/min)

W (kg)

Bed

Ball screw

Fig 15.9 Linear Operation Output

15

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