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Hitachi Vector Control with the SJ300 Inverter

Hitachi Vector Control with the SJ300 Inverter
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Appendix B Calculation of load inertia
(B-1) A column
J = (1/8)
ž
W
ž
D
2
[kg
ž
m
2
]
W [kg] : Weight
D [m] : Diameter
(B-2) A cylinder
J = (1/8)
ž
W
ž
(D
2
+ d
2
) [kg
ž
m
2
]
W [kg] : Weight
D [m] : Outer diameter
d [m] : Inner diameter
(B-3) A rectangular solid
J = (1/12)
ž
W
ž
(a
2
+ b
2
) [kg
ž
m
2
]
W [kg] : Weight
a [m] : Length
b [m] : Length
(B-4) A Cone
J = (3/40)
ž
W
ž
D
2
[kg
ž
m
2
]
W [kg] : Weight
D [m] : Diameter
(B-5) Wind up (vertical linear motion)
J = (1/4)
ž
W
ž
D
2
[kg
ž
m
2
]
W [kg] : Weight of the material
D [m] : Diameter of a drum
(B-6) Horizontal linear motion
J = ( W
ž
D
2
) / ( 4
π
2
ž
N
2
) [kg
ž
m
2
]
W [kg] : Weight of the material
V [m/min] : Speed of the material
N [rpm] : Rotation of the converted shaft
Refer also to appendix (A-3) for detailed explanation.
Refer to Hitachi Inverter Technical Guide Book for further detailed information of inertia.
D
W
W
D
d
W
a
b
W
D
D
W
Drum
Material
W
V
N
Motor

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