High Speed Motor Elements GREEN ENERGY...

12
www.gem-motor.com High Speed Motor Elements MOTORS ENERGY GREEN

Transcript of High Speed Motor Elements GREEN ENERGY...

www.gem-motor.com

High Speed Motor ElementsM

OTOR

SEN

ERGY

GREE

N

GREEN ENERGY MOTORS

205, 1, Mandeok 3-ro 16 beon-gil, Buk-gu, Busan, 46570, Rep. of KOREATel. (82)-51-556-5960~2 Fax.(82)-51-556-5963E-mail: [email protected]://www.gem-motor.com

02

Company Information

We at GEM Co., Ltd. are glad to meet you!GEM Co. Ltd. specializes in motor elements for spindle machines and we pride ourselves on providing our clients withproducts known for their high speed, high efficiency and high power density. Our team of developers at GEM has over adecade of experience and consists of experts from the fields of electrical and mechanical engineering. As a result, wedesign and manufacture all product elements ourselves. Furthermore, to verify that our elements meet our predictedperformance targets, we conduct numerous experiments. Each experiment is directly coupled with the actual rated loadaccording to ac dynamometers, which are continuously driven until the coil s temperature is saturated.

We currently produce three different element sizes and each size is then divided into two kinds based on the copper andaluminum bars in the rotor. Additionally, each model is classified according to its capacity, operating speed and length.

We hope that you will choose the following elements for your spindle with confidence.It is our goal to satisfy the requirements of our clients with our products.We look forward to seeing you in the future!

Model Number

EXAMPLE

Notes of Dimensions

Let s suppose that you have chosen A4P-S60L60V30-CU/LD1) Dia. of the stator : 60 mm2) Laminated length : 60 mm3) Rated speed : 30 krpm4) Maximum speed : 45 krpm ( = Rated speed x 1.5 )5) Rated power : 2.6 kW (from S60 table)6) Material of rotor conductors : Copper7) Coils of the stator : Dipped into the insulation varnish

S404022

20~80F R7 98 1021.68/138/13

3

S484828

20~80F R10 1212 1427.6

16/18-3

S240240110

100~300F R- -60 80108

50/60-

10

S585838

40~80F R10 1212 1437.6

20/28-4

S606035

40~80F R13 1415 1634.6

16/25-4

S838350

60~120F R18 2220 2549.5

24/33-4

S909060

60~150F R14 1716 2059.4

30/41-5

S10610665

60~150F R23 2525 2864.4

40/42-5

S13513588

100~250F R25 2730 3287.2

50/60-6

S220220130

100~300F R- -

50 60129

54/65-

10

S260260160

120~240F R40 5050 60159

70/80-

10

S290290155

120~300F R- -

50 60154

55/65-

10

S160160110

100~270F R30 4030 40109.2

-70/80

5

S180180130

100~300F R30 4030 40

12980/90

-5

LDHD

CUAL

A8PA4PA2P

Outer Dia. of the statorInner Dia. of the statorLaminated length of the stator

Height of the end-winding

Outer dia. of the rotor

Inner dia. of the rotor/ max.

Width of the end-ring

S707040

40~100F R16 1818 2039.5

20/28-4

S808050

60~120F R18 2220 2549.5

24/33-4

Front / Rear

03GREEN ENERGY MOTORS

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A P - S L V - /A : Induction motors

P : Number of polesS : Outer diameter of the stator [mm] L : Laminated length [mm] V : Rated speed [x1000 rpm]

: CU or AL (materials of rotor s conductors): LD(Insulation varnish) or HD(Resin Impregnation)

Power [kW]

04 GREEN ENERGY MOTORS

A2P-S40

100160220290380460550

Torque

0.050.110.160.220.310.380.45

0.170.300.410.550.791.001.20

0.330.500.700.951.31.62.0

0.50.71.01.31.72.12.6

0.60.91.21.62.12.53.1

0.71.11.51.92.53.03.5

0.81.21.72.32.83.43.9

0.91.41.92.63.23.84.4

1.01.52.12.83.44.14.7

20mm30mm 40mm 50mm60mm70mm80mm

Laminated length Power [kW]

(Avg.)[mNm]

V1010krpm167Hz

V2020krpm333Hz

V3030krpm500Hz

V4040krpm667Hz

V5050krpm833Hz

V6060krpm1000Hz

V7070krpm1167Hz

V8080krpm1333Hz

V9090krpm1500Hz

L20L30L40L50L60L70L80

CU(AL)/LD Speed

Power[kW]

A2P-S48

70120160210250300350

Torque

0.050.100.140.190.230.280.32

0.160.250.360.460.520.650.73

0.240.400.510.710.851.001.14

0.330.490.730.951.101.331.47

0.40.60.91.11.41.61.9

0.50.81.11.41.61.92.3

0.50.91.21.61.92.12.7

0.61.01.31.82.12.42.9

0.61.11.41.92.32.83.3

20mm30mm 40mm 50mm60mm70mm80mm

Laminated length Power [kW]

(Avg.)[mNm]

V1010krpm167Hz

V2020krpm333Hz

V3030krpm500Hz

V4040krpm667Hz

V5050krpm833Hz

V6060krpm1000Hz

V7070krpm1167Hz

V8080krpm1333Hz

V9090krpm1500Hz

L20L30L40L50L60L70L80

CU(AL)/LD Speed

Power[kW]

3341485364738995

Torque

1113151720232830

2126303340465660

35435055677793100

7087100110133153187200

105130150165200230280300

100mm120mm 140mm 150mm180mm200mm260mm270mm

Laminated length

(Avg.)[Nm]

V033krpm50Hz

V066krpm100Hz

V1010krpm167Hz

V2020krpm333Hz

V3030krpm500Hz

L100L120L140L150L180L200L260L270

CU/LD(HD) Speed

Power [kW]

A2P-S240

Specification

0.7 0.9 1.1 1.3 1.5

Torque

0.3 0.5 0.6 0.7 0.9

40mm 50mm 60mm 70mm 80mm

Laminated length Power [kW]

(Avg.)[Nm]

V066krpm200Hz

0.7 0.8 1.0 1.2 1.3

0.9 1.1 1.3 1.6 1.9

1.1 1.4 1.7 2.0 2.4

1.4 1.7 2.1 2.4 2.8

1.6 2.0 2.4 2.8 3.3

1.8 2.3 2.7 3.3 3.8

2.0 2.5 3.1 3.7 4.2

2.3 2.8 3.4 4.0 4.7

2.4 3.1 3.8 4.4 5.3

2.6 3.4 4.0 4.7 5.7

2.8 3.6 4.3 5.2 6.2

3.0 3.9 4.6 5.6 6.6

3.2 4.1 5.0 6.1 6.9

V099krpm300Hz

V1212krpm400Hz

V1515krpm500Hz

V1818krpm600Hz

V2121krpm700Hz

V2424krpm800Hz

V2727krpm900Hz

V3030krpm1000Hz

V3333krpm1100Hz

V3636krpm1200Hz

V3939krpm1300Hz

V4242krpm1400Hz

V4545krpm1500Hz

L40L50L60L70L80

CU/HD Speed

Power[kW]

A4P-S58

CU - The bars and end-rings in the rotor are made from copper to ensure high motor efficiency. This also allows fordecreased vibrations from rotation as the shaft is thicker than those used in aluminum rotors.

AL - The bars and end rings in the rotor are made from aluminum which provides an excellent balance betweenprice and performance.

LD - This stator is dipped into the insulation varnish. It is our most common model which is suitable to general spindle motors.

HD - The copper coil of the stator is filled with special resin which helps to decrease the temperature of coils.

05GREEN ENERGY MOTORS

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0.8 1.0 1.1 1.3 1.51.9

Torque

0.3 0.4 0.4 0.5 0.60.7

40mm 50mm 60mm 70mm 80mm

100mm Laminated length Power [kW]

(Avg.)[Nm]

V066krpm200Hz

0.6 0.7 0.9 1.0 1.21.4

1.0 1.2 1.4 1.7 1.92.4

1.2 1.5 1.8 2.1 2.43.0

1.4 1.8 2.2 2.5 2.93.6

1.7 2.1 2.5 2.9 3.44.2

1.9 2.4 2.9 3.4 3.84.8

2.2 2.7 3.2 3.8 4.35.4

2.4 3.0 3.6 4.2 4.86.0

2.6 3.3 4.0 4.6 5.36.6

2.9 3.6 4.3 5.0 5.87.2

3.1 3.9 4.7 5.5 6.27.8

3.4 4.2 5.0 5.9 6.78.4

3.6 4.5 5.4 6.3 7.29.0

V099krpm300Hz

V1212krpm400Hz

V1515krpm500Hz

V1818krpm600Hz

V2121krpm700Hz

V2424krpm800Hz

V2727krpm900Hz

V3030krpm1000Hz

V3333krpm1100Hz

V3636krpm1200Hz

V3939krpm1300Hz

V4242krpm1400Hz

V4545krpm1500Hz

L40L50L60L70L80

L100

CU/LD Speed

Power[kW]

A4P-S70

1.0 1.2 1.4 1.7 1.92.4

Torque

0.4 0.5 0.5 0.6 0.70.9

40mm 50mm 60mm 70mm 80mm

100mm Laminated length Power [kW]

(Avg.)[Nm]

V066krpm200Hz

0.7 0.9 1.1 1.3 1.41.8

1.2 1.5 1.8 2.1 2.43.0

1.5 1.9 2.3 2.6 3.03.8

1.8 2.3 2.7 3.2 3.64.5

2.1 2.6 3.2 3.7 4.25.3

2.4 3.0 3.6 4.2 4.86.0

2.7 3.4 4.1 4.7 5.46.8

3.0 3.8 4.5 5.3 6.07.5

3.3 4.1 5.0 5.8 6.68.3

3.6 4.5 5.4 6.3 7.29.0

3.9 4.9 5.9 6.8 7.89.8

4.2 5.3 6.3 7.4 8.4

10.5

4.5 5.6 6.8 7.9 9.011.3

V099krpm300Hz

V1212krpm400Hz

V1515krpm500Hz

V1818krpm600Hz

V2121krpm700Hz

V2424krpm800Hz

V2727krpm900Hz

V3030krpm1000Hz

V3333krpm1100Hz

V3636krpm1200Hz

V3939krpm1300Hz

V4242krpm1400Hz

V4545krpm1500Hz

L40L50L60L70L80

L100

CU/HD Speed

Power[kW]

06 GREEN ENERGY MOTORS

0.5 0.7 0.8 0.9 1.1

Torque

0.2 0.3 0.4 0.5 0.5

40mm 50mm 60mm 70mm 80mm

Laminated length Power [kW]

(Avg.)[Nm]

V066krpm200Hz

0.4 0.5 0.7 0.9 1.0

0.6 0.8 1.0 1.2 1.4

0.8 1.0 1.3 1.5 1.8

1.0 1.3 1.6 1.9 2.2

1.2 1.5 1.8 2.1 2.5

1.4 1.7 2.2 2.5 2.9

1.5 2.0 2.4 2.8 3.2

1.7 2.1 2.6 3.1 3.6

1.9 2.4 2.9 3.4 3.9

2.1 2.6 3.1 3.7 4.2

2.1 2.8 3.3 4.0 4.5

2.3 2.9 3.6 4.2 4.9

2.4 3.1 3.9 4.5 5.2

V099krpm300Hz

V1212krpm400Hz

V1515krpm500Hz

V1818krpm600Hz

V2121krpm700Hz

V2424krpm800Hz

V2727krpm900Hz

V3030krpm1000Hz

V3333krpm1100Hz

V3636krpm1200Hz

V3939krpm1300Hz

V4242krpm1400Hz

V4545krpm1500Hz

L40L50L60L70L80

CU/LD Speed

Power[kW]

A4P-S60

0.6 0.8 1.0 1.2 1.3

Torque

0.3 0.4 0.3 0.5 0.5

40mm 50mm 60mm 70mm 80mm

Laminated length Power [kW]

(Avg.)[Nm]

V066krpm200Hz

0.5 0.7 0.8 1.0 1.2

0.8 1.0 1.2 1.4 1.7

1.0 1.3 1.6 1.9 2.2

1.3 1.6 1.9 2.3 2.6

1.4 1.9 2.3 2.7 3.1

1.7 2.2 2.6 3.1 3.5

1.9 2.4 3.0 3.4 3.9

2.2 2.7 3.3 3.8 4.5

2.4 3.0 3.6 4.2 4.8

2.5 3.2 3.8 4.6 5.3

2.7 3.5 4.2 5.0 5.8

2.9 3.7 4.5 5.4 6.2

3.1 3.9 4.7 5.6 6.5

V099krpm300Hz

V1212krpm400Hz

V1515krpm500Hz

V1818krpm600Hz

V2121krpm700Hz

V2424krpm800Hz

V2727krpm900Hz

V3030krpm1000Hz

V3333krpm1100Hz

V3636krpm1200Hz

V3939krpm1300Hz

V4242krpm1400Hz

V4545krpm1500Hz

L40L50L60L70L80

CU/HD Speed

Power[kW]

Specification

1.61.9 2.22.52.8 3.1 3.3

Torque

0.4 0.5 0.5 0.60.70.80.8

60mm70mm 80mm 90mm

100mm110mm 120mm

Laminated length Power [kW]

(Avg.)[Nm]

V033krpm100Hz

1.0 1.2 1.31.51.91.9 2.0

1.5 1.92.12.42.7 2.9 3.2

2.1 2.52.83.23.7 4.0 4.4

2.63.23.64.1 4.5 5.0 5.5

3.23.84.34.8 5.5 5.9 6.5

3.74.45.05.76.26.97.5

4.24.95.76.47.17.88.7

4.65.66.37.17.88.89.6

5.25.96.97.78.79.6

10.9

5.56.47.58.69.5

10.811.7

5.86.98.39.3

10.611.612.4

6.27.48.8

10.211.112.213.5

V066krpm200Hz

V99krpm300Hz

V1212krpm400Hz

V1515krpm500Hz

V1818krpm600Hz

V2121krpm700Hz

V2424krpm800Hz

V2727krpm900Hz

V3030krpm1000Hz

V3333krpm1100Hz

V3636krpm1200Hz

V3939krpm1300Hz

L60L70L80L90

L100L110L120

CU/LD Speed

Power[kW]

A4P-S83

2.02.32.73.03.43.74.1

Torque

0.50.50.60.70.80.90.9

60mm70mm 80mm 90mm

100mm110mm 120mm

Laminated length Power [kW]

(Avg.)[Nm]

V033krpm100Hz

1.21.41.61.82.12.22.4

1.92.22.52.93.23.63.9

2.53.03.43.94.44.95.3

3.23.84.45.05.56.06.6

3.84.55.35.86.77.37.9

4.55.36.26.97.58.59.3

5.26.06.97.88.79.5

10.6

5.76.87.78.69.5

10.611.7

6.47.48.59.4

10.611.713.2

6.98.29.2

10.511.613.214.6

7.48.8

10.211.413.014.415.7

8.09.6

11.012.714.015.416.9

V066krpm200Hz

V99krpm300Hz

V1212krpm400Hz

V1515krpm500Hz

V1818krpm600Hz

V2121krpm700Hz

V2424krpm800Hz

V2727krpm900Hz

V3030krpm1000Hz

V3333krpm1100Hz

V3636krpm1200Hz

V3939krpm1300Hz

L60L70L80L90

L100L110L120

CU/HD Speed

Power[kW]

1.9 2.7 3.4 4.1

Torque

0.3 0.5 0.7 0.9

60mm 80mm

100mm 120mm

Laminated length Power [kW]

(Avg.)[Nm]

V033krpm100Hz

1.0 1.6 2.0 2.5

1.8 2.6 3.3 3.9

2.6 3.6 4.5 5.5

3.2 4.5 5.6 6.8

3.8 5.4 6.8 8.1

4.4 6.2 7.9 9.5

5.3 7.0 9.1

10.8

5.9 8.0

10.0 12.0

6.5 8.8

11.2 13.2

7.0 9.6

12.2 14.2

7.5 10.5 12.9 15.5

8.0 11.2 13.7 16.5

V066krpm200Hz

V99krpm300Hz

V1212krpm400Hz

V1515krpm500Hz

V1818krpm600Hz

V2121krpm700Hz

V2424krpm800Hz

V2727krpm900Hz

V3030krpm1000Hz

V3333krpm1100Hz

V3636krpm1200Hz

V3939krpm1300Hz

L60L80

L100L120

CU/HD Speed

Power[kW]

A4P-S80

07GREEN ENERGY MOTORS

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2.02.32.73.13.43.84.24.64.9

Torque

0.50.60.70.81.01.21.21.41.5

60mm70mm 80mm 90mm100mm110mm 120mm130mm140mm

Laminated length Power [kW]

(Avg.)[Nm]

V033krpm100Hz

1.31.51.71.92.12.42.73.03.1

1.92.32.73.03.33.64.04.54.9

2.73.13.54.04.44.95.45.96.3

3.23.94.45.05.66.26.87.37.9

4.04.75.26.06.67.28.28.89.7

4.65.36.06.97.78.69.5

10.311.0

5.05.96.87.98.69.9

10.611.812.5

5.66.67.88.99.9

10.712.013.113.8

6.37.28.59.810.811.913.114.115.1

6.77.99.210.511.812.714.015.316.6

7.28.69.911.412.813.915.116.418.1

7.59.210.712.013.314.716.217.919.4

V066krpm200Hz

V99krpm300Hz

V1212krpm400Hz

V1515krpm500Hz

V1818krpm600Hz

V2121krpm700Hz

V2424krpm800Hz

V2727krpm900Hz

V3030krpm1000Hz

V3333krpm1100Hz

V3636krpm1200Hz

V3939krpm1300Hz

L60L70L80L90

L100L110L120L130L140

CU/LD Speed

Power[kW]

A4P-S90

2.22.63.03.53.94.24.75.25.5

Torque

0.50.70.70.91.01.11.41.51.6

60mm70mm 80mm 90mm100mm110mm 120mm130mm140mm

Laminated length Power [kW]

(Avg.)[Nm]

V033krpm100Hz

1.41.61.82.12.32.63.03.33.4

2.12.63.03.33.74.04.45.05.5

3.03.43.94.45.05.56.16.77.0

3.64.44.95.66.36.97.98.28.9

4.55.35.96.87.88.19.39.9

10.9

5.26.16.87.88.79.8

10.811.712.5

5.76.67.89.09.8

11.211.813.314.2

6.47.58.9

10.111.312.213.614.915.6

7.28.29.711.212.113.514.816.017.1

7.49.110.511.813.514.415.917.519.0

8.39.911.113.214.616.017.318.820.7

8.710.612.313.715.317.018.620.522.3

V066krpm200Hz

V99krpm300Hz

V1212krpm400Hz

V1515krpm500Hz

V1818krpm600Hz

V2121krpm700Hz

V2424krpm800Hz

V2727krpm900Hz

V3030krpm1000Hz

V3333krpm1100Hz

V3636krpm1200Hz

V3939krpm1300Hz

L60L70L80L90

L100L110L120L130L140

CU/HD Speed

Power[kW]

08 GREEN ENERGY MOTORS

Specification

3.44.14.75.45.96.67.27.88.59.1

Torque

0.81.01.21.41.51.71.92.02.22.5

2.12.42.83.63.64.04.34.75.15.6

3.23.84.45.05.56.26.87.47.88.6

4.45.16.06.87.58.59.210.011.011.4

5.46.77.58.69.4

10.211.412.413.814.1

6.87.99.2

10.211.412.514.015.116.117.6

7.69.311.012.213.814.916.217.719.220.9

8.811.012.314.015.317.218.920.722.123.6

10.112.113.915.317.519.521.122.724.725.7

11.313.715.217.419.821.223.525.127.429.2

12.314.717.119.121.123.725.227.830.131.4

60mm70mm 80mm 90mm

100mm110mm 120mm130mm140mm150mm

Laminated length Power [kW]

(Avg.)[Nm]

V033krpm100Hz

V066krpm200Hz

V99krpm300Hz

V1212krpm400Hz

V1515krpm500Hz

V1818krpm600Hz

V2121krpm700Hz

V2424krpm800Hz

V2727krpm900Hz

V3030krpm1000Hz

V3333krpm1100Hz

L60L70L80L90

L100L110L120L130L140L150

CU/LD Speed

Power[kW]

A4P-S106

1318232835

Torque

568

1012

1013172026

1520273139

2127364253

2634445366

3141536379

3648627392

41547083

104

45607993117

506787102129

100mm130mm 170mm 200mm250mm

Laminated length Power [kW]

(Avg.)[Nm]

V033krpm100Hz

V066krpm200Hz

V99krpm300Hz

V1212krpm400Hz

V1515krpm500Hz

V1818krpm600Hz

V2121krpm700Hz

V2424krpm800Hz

V2727krpm900Hz

V3030krpm1000Hz

L100L130L170L200L250

CU/LD(HD) Speed

Power[kW]

A4P-S135

4.14.95.76.57.18.08.79.4

10.311.1

Torque

1.01.21.41.61.82.02.32.42.62.9

2.52.93.44.34.34.85.35.76.16.8

3.84.55.26.06.67.58.28.89.4

10.3

5.36.17.48.19.010.311.112.013.313.9

6.48.19.0

10.411.312.313.614.916.717.4

8.19.5

11.212.813.714.916.818.319.721.3

9.511.213.414.816.718.219.721.423.325.3

11.113.414.816.818.521.022.725.126.829.2

12.214.716.818.521.324.225.527.730.131.7

13.616.618.421.123.926.129.130.333.636.3

14.818.120.923.725.529.331.333.936.940.2

60mm70mm 80mm 90mm

100mm110mm 120mm130mm140mm150mm

Laminated length Power [kW]

(Avg.)[Nm]

V033krpm100Hz

V066krpm200Hz

V99krpm300Hz

V1212krpm400Hz

V1515krpm500Hz

V1818krpm600Hz

V2121krpm700Hz

V2424krpm800Hz

V2727krpm900Hz

V3030krpm1000Hz

V3333krpm1100Hz

L60L70L80L90

L100L110L120L130L140L150

CU/HD Speed

Power[kW]

09GREEN ENERGY MOTORS

www.gem-motor.com

40577494

Torque

4.36811

8111519

11172126

13202532

16233038

18273543

21293848

120mm170mm 220mm 270mm

Laminated length Power [kW]

(Avg.)[Nm]

V1.51.5krpm100Hz

V2.02krpm133Hz

V2.52.5krpm167Hz

V3.03krpm200Hz

V3.53.5krpm233Hz

V4.04krpm267Hz

V5.05krpm333Hz

L120L170L220L270

AL/LD(HD) Speed

Power [kW]

A8P-S160

4684

128154

Torque

5111518

9172532

12233542

16294254

20355165

21375968

22396672

100mm180mm 260mm 330mm

Laminated length Power [kW]

(Avg.)[Nm]

V1.51.5krpm100Hz

V2.02krpm133Hz

V2.52.5krpm167Hz

V3.03krpm200Hz

V3.53.5krpm233Hz

V4.04krpm267Hz

V5.05krpm333Hz

L100L180L260L330

CU(AL)/LD(HD) Speed

Power [kW]

A8P-S180

95130160190240

Torque

3040506075

6080

100120150

100134167200250

150200250300375

120mm160mm 200mm 240mm300mm

Laminated length Power [kW]

(Avg.)[Nm]

V033krpm100Hz

V066krpm200Hz

V1010krpm333Hz

V1515krpm500Hz

L120L160L200L240L300

CU/LD(HD) Speed

Power [kW]

A4P-S260

130160200210255300

Torque

405063668094

82100126132160188

136168210220267314

163202252264320375

120mm160mm 200mm220mm 250mm300mm

Laminated length Power [kW]

(Avg.)[Nm]

V033krpm100Hz

V066krpm200Hz

V1010krpm333Hz

V1212krpm400Hz

L120L160L200L220L250L300

CU/HD Speed

Power [kW]

A4P-S290

10 GREEN ENERGY MOTORS

4048607380

100124

Torque

13151923253139

25303846506378

4250637684105130

84101126153168209260

126151188229251314390

100mm120mm 150mm 180mm200mm250mm300mm

Laminated length Power [kW]

(Avg.)[Nm]

V033krpm100Hz

V066krpm200Hz

V1010krpm333Hz

V2020krpm667Hz

V3030krpm1000Hz

L100L120L150L180L200L250L300

CU/LD(HD) Speed

Power [kW]

A4P-S220

Design

Eqvalent fluxline of an induction motor

Fluxdensity Distribution

ExperimentTemperature testDynamometer test

Structure analysis of the rotor

GEM design program

11GREEN ENERGY MOTORS

www.gem-motor.com

Design & Experiment

205, 1, Mandeok 3-ro 16 beon-gil, Buk-gu, Busan, 46570, Rep. of KOREATel.(82)-51-556-5960~2 Fax.(82)-51-556-5963

E-mail: [email protected] www.gem-motor.com

Ver. 8.0 (2015. 10. 31)