Inertial Moment And Gd2 - YASKAWA VS-626M5 Instruction Manual

Vector-controlled inverter drives with power regenerative function for machine tools
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15.2.3 Inertial Moment and GD
Inertial moment is a measure of the ease of the rotation operation of the rotator. Taking the total mass m
(kg) of the rotator, and the rotation radius r (m), the inertial moment J can be expressed using the following
formula.
J = mr
2
(kg
The relationship to the flywheel effect GD
ing formula.
J = GD
2
(kg
4
The various inertial moment shapes are summarized below. Friction and other losses, however, have not
been considered, and the efficiency is taken to be 1.
Cylindrical Inertial Moment
J
Inertial moment J
can be expressed using the following formula.
m
r
2
1
1
J
=
1
2
Fig 15.10
Tubular Inertial Moment
J
Inertial moment J
radius r
(m) of a cylinder can be expressed using the following formula.
2
2
m
(r
2
1
J
=
2
Fig 15.11
Load Reel Inertial Moment
J
Inertial moment J
between a rope and pulley, and can be expressed using the following formula.
J
= m
r
3
3
1
Rope
m
3
Fig 15.12
2
2
m
)
2
that has been used until now can be expressed using the follow-
2
m
)
during rotation along an axis centered on the mass m
1
2
(kg
m
)
L (m)
r
1
(m)
Mass m
(kg)
1
Cylindrical Inertial Moment
during rotation along an axis centered on the mass m
2
2
+ r
)
2
2
(kg
m
)
2
L (m)
r
(m)
1
r
(m)
2
Mass m
(kg)
2
Tubular Inertial Moment
of a load reel, as shown in Fig. 15.12, concentrates the entire load on the contact point
3
2
2
(kg
m
)
r
(m)
1
Pulley
(kg)
Load Reel Inertial Moment
15 -7
15.2 Basic Inverter Drive mechanics
(kg) and radius r
(m) of a cylinder
1
1
(kg), outer radius r
(m), and inner
2
1
15

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