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Appendix B Calculation Of Load Inertia - Hitachi Vector Control with the SJ300 Inverter Application Note

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
[kgž m
W [kg] : Weight
D [m] : Diameter
(B-2) A cylinder
J = (1/8) ž W ž (D
2
+ d
W [kg] : Weight
D [m] : Outer diameter
d
[m] : Inner diameter
(B-3) A rectangular solid
J = (1/12) ž W ž (a
2
W [kg] : Weight
a
[m] : Length
b
[m] : Length
(B-4) A Cone
J = (3/40) ž W ž D
2
[kgž m
W [kg] : Weight
D [m] : Diameter
(B-5) Wind up (vertical linear motion)
J = (1/4) ž W ž D
2
[kgž m
W [kg] : Weight of the material
D [m] : Diameter of a drum
(B-6) Horizontal linear motion
J = ( W ž D
2
2
) / ( 4
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.
© 2002 Hitachi America, Ltd.
2
]
D
2
2
) [kgž m
]
d
D
2
2
+ b
) [kgž m
]
a
D
2
]
2
]
ž N
2
2
) [kgž m
]
W
W
W
b
W
D
Drum
Material
W
N
Motor
27
V
W

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