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Contents
LeakageReactance
Course No : EE 3220
Electrical Machine Design
Project on : Three Phase Induction Motor Design
Submitted To:
Dr. Mohammad Shaifur Rahman
Professor,
Dept. of EEE,KUET
Abu Syed MD. Jannatul Islam
Lecturer,
Dept. of EEE,KUET
Nashrah Afroz
Lecturer,
Dept of EEE,KUET
• Submitted By: (GROUP-08)
• 1503014 : Fardeen Ahmed Ifty
• 1503030 : Md. Rownok Rahman
• 1503066 : Md. Rayid Hasan Mojumder
• 1503103 : Md. Shafayet
StatorSlot
Reactance
RotorSlot
Reactance
OverhangLeakage
Contents
Stator Slot
Reactance
Rotor Slot
Reactance
Overhang
Reactance
Leakage Reactance
In Short Circuit CurrentLeakageReactance
StatorSlot
Reactance
RotorSlot
Reactance
OverhangLeakage
Leakage
StatorSlot
Reactance
RotorSlot
Reactance
Overhang
Leakage
1. What is Leakage Reactance?
2.How it appears in IM ?
Leakage Reactance
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Leakage
StatorSlot
Reactance
RotorSlot
Reactance
Overhang
Leakage
Stator Slot Reactance
For a tapered slot,
Ws
Wo
h3 W1=W2
h1
h4
Fig : Tapered Slot
Specific slotpermeance, λss =µ0 [
2ℎ1
3(𝜔 𝑠+𝜔2)
+
2ℎ2
𝜔1+𝜔2
+
2ℎ3
𝜔1+𝜔0
+
ℎ4
𝜔0
]
=4𝜋×10−7
[
2×17
3(16.383+11.933)
+
2×3
11.933+2
+
1
2
]
=1.67×10−6
(Consideringthe height of h2 alsotobe occupied byconductors)
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Leakage
StatorSlot
Reactance
RotorSlot
Reactance
Overhang
Leakage Rotor Slot Reactance
For a parallel sided slot,
Wo
h4
h3
h1h1
Ws
Fig : Parallel Sided Slot
Specific slot permeance, λsr = µ0[
ℎ1
3𝜔 𝑠
+
ℎ2
𝜔 𝑠
+
2ℎ3
𝜔1+𝜔0
+
ℎ4
𝜔0
]
= 4𝜋 ×10−7[
8
3×7.4
+
2×1
7.4+1.5
+
1
1.5
]
=1.57×10−6
Thisreferredtostatorside,ℑ/
sr=ℑ𝑠𝑟 ×
𝐾𝜔𝑠 ×𝑆 𝑠
2
𝐾𝜔𝑟 ×𝑆 𝑟
2
=1.57×10−6
×
0.9332×24
12×22
=1.49×10−6
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Leakage
StatorSlot
Reactance
RotorSlot
Reactance
Overhang
Leakage Rotor Slot Reactance(contd.)
So, total specific slot permeance, λsr = λss + λ’sr
= (1.67+1.49) ×10-6
= 3.16×10-6
Slot leakage reactance, χs = 8πf Tph
2
(
λ 𝑠
𝑝𝑞
)
= 8π×50×2802
×0.152×(
3.16×10−6
4×2
)
= 5.92 Ω
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Leakage
StatorSlot
Reactance
RotorSlot
Reactance
Overhang
Leakage
Termination
Overhang Reactance
0.45
0.5
0.55
0.6
0.65
0.7
0.75
0.8
0.85
0.9
0.95
1
0.5 0.55 0.6 0.65 0.7 0.75 0.8 0.85 0.9 0.95 1
120˚ spread
Ratio[
𝐶𝑜𝑖𝑙 𝑆𝑝𝑎𝑛
𝑃𝑜𝑙𝑒 𝑃𝑖𝑡𝑐ℎ
]
Factor,K
0.875
0.833
Fig : Slot leakage factor
We have , L0λ0 = µ0Ks(
𝜏2
𝜋𝑌𝑠𝑠
)
Now, ratio
𝑐𝑜𝑖𝑙 𝑠𝑝𝑎𝑛
𝑝𝑜𝑙𝑒 𝑝𝑖𝑡𝑐 ℎ
=
5
6
= 0.833
Corresponding to this the value of Ks from Figure is 0.875
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Leakage
StatorSlot
Reactance
RotorSlot
Reactance
Overhang
Leakage
End
Overhang Reactance(Contd.)
We have , L0λ0 = µ0Ks(
𝜏2
𝜋𝑌𝑠𝑠
)
Now, ratio
𝑐𝑜𝑖𝑙 𝑠𝑝𝑎𝑛
𝑝𝑜𝑙𝑒 𝑝𝑖𝑡𝑐 ℎ
=
5
6
= 0.833
Corresponding to this the value of Ks from Figure is 0.875
L0λ0 = 4𝜋 × 10−7
×
0.875×0.1012
𝜋×16.68×10−3
= 2.14×10-7
Overhang leakage reactance, χ0 = 8πf Ts
2 L0λ0
𝑝𝑞 𝑠
= 8π×50×2802
×(
2.14×10−7
4×2
)
= 2.64 Ω
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Leakage
StatorSlot
Reactance
RotorSlot
Reactance
Overhang
Leakage
MESSAGE FROM
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Objectives and Previous Years Projects that may have
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Impression
End
Slot
Leakage
Reactance
=5.92 Ω
Overhang Reactance
=2.64 Ω
about
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Leakage
StatorSlot
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Leakage
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Three Phase Induction Motor Design

  • 1. Contents LeakageReactance Course No : EE 3220 Electrical Machine Design Project on : Three Phase Induction Motor Design Submitted To: Dr. Mohammad Shaifur Rahman Professor, Dept. of EEE,KUET Abu Syed MD. Jannatul Islam Lecturer, Dept. of EEE,KUET Nashrah Afroz Lecturer, Dept of EEE,KUET • Submitted By: (GROUP-08) • 1503014 : Fardeen Ahmed Ifty • 1503030 : Md. Rownok Rahman • 1503066 : Md. Rayid Hasan Mojumder • 1503103 : Md. Shafayet StatorSlot Reactance RotorSlot Reactance OverhangLeakage
  • 2. Contents Stator Slot Reactance Rotor Slot Reactance Overhang Reactance Leakage Reactance In Short Circuit CurrentLeakageReactance StatorSlot Reactance RotorSlot Reactance OverhangLeakage
  • 3. Leakage StatorSlot Reactance RotorSlot Reactance Overhang Leakage 1. What is Leakage Reactance? 2.How it appears in IM ? Leakage Reactance
  • 4. about history timeline teams services follow 2018 3 2014 2 2010 1 HEADING Here Add Some Own Text of Yours HEADING Here Add Some Own Text of Yours HEADING Here Add Some Own Text of Yours Leakage StatorSlot Reactance RotorSlot Reactance Overhang Leakage Stator Slot Reactance For a tapered slot, Ws Wo h3 W1=W2 h1 h4 Fig : Tapered Slot Specific slotpermeance, λss =µ0 [ 2ℎ1 3(𝜔 𝑠+𝜔2) + 2ℎ2 𝜔1+𝜔2 + 2ℎ3 𝜔1+𝜔0 + ℎ4 𝜔0 ] =4𝜋×10−7 [ 2×17 3(16.383+11.933) + 2×3 11.933+2 + 1 2 ] =1.67×10−6 (Consideringthe height of h2 alsotobe occupied byconductors)
  • 5. about history timeline teams services follow HEADING YOU CAN ADD SOME BRIEF TEXT HERE 2014 HEADING YOU CAN ADD SOME BRIEF TEXT HERE 2015 HEADING YOU CAN ADD SOME BRIEF TEXT HERE 2016 Leakage StatorSlot Reactance RotorSlot Reactance Overhang Leakage Rotor Slot Reactance For a parallel sided slot, Wo h4 h3 h1h1 Ws Fig : Parallel Sided Slot Specific slot permeance, λsr = µ0[ ℎ1 3𝜔 𝑠 + ℎ2 𝜔 𝑠 + 2ℎ3 𝜔1+𝜔0 + ℎ4 𝜔0 ] = 4𝜋 ×10−7[ 8 3×7.4 + 2×1 7.4+1.5 + 1 1.5 ] =1.57×10−6 Thisreferredtostatorside,ℑ/ sr=ℑ𝑠𝑟 × 𝐾𝜔𝑠 ×𝑆 𝑠 2 𝐾𝜔𝑟 ×𝑆 𝑟 2 =1.57×10−6 × 0.9332×24 12×22 =1.49×10−6
  • 6. about history timeline teams services follow HEADING YOU CAN ADD SOME BRIEF TEXT HERE 2014 HEADING YOU CAN ADD SOME BRIEF TEXT HERE 2015 HEADING YOU CAN ADD SOME BRIEF TEXT HERE 2016 Leakage StatorSlot Reactance RotorSlot Reactance Overhang Leakage Rotor Slot Reactance(contd.) So, total specific slot permeance, λsr = λss + λ’sr = (1.67+1.49) ×10-6 = 3.16×10-6 Slot leakage reactance, χs = 8πf Tph 2 ( λ 𝑠 𝑝𝑞 ) = 8π×50×2802 ×0.152×( 3.16×10−6 4×2 ) = 5.92 Ω
  • 7. about history timeline teams services follow 01 02 03 ALAN MARTIN CEO, COMPANY NAME Here Write Brief Message About Yourself JHON DOE CEO, COMPANY NAME Here Write Brief Message About Yourself PABLO PICASO CEO, COMPANY NAME Here Write Brief Message About Yourself Leakage StatorSlot Reactance RotorSlot Reactance Overhang Leakage Termination Overhang Reactance 0.45 0.5 0.55 0.6 0.65 0.7 0.75 0.8 0.85 0.9 0.95 1 0.5 0.55 0.6 0.65 0.7 0.75 0.8 0.85 0.9 0.95 1 120˚ spread Ratio[ 𝐶𝑜𝑖𝑙 𝑆𝑝𝑎𝑛 𝑃𝑜𝑙𝑒 𝑃𝑖𝑡𝑐ℎ ] Factor,K 0.875 0.833 Fig : Slot leakage factor We have , L0λ0 = µ0Ks( 𝜏2 𝜋𝑌𝑠𝑠 ) Now, ratio 𝑐𝑜𝑖𝑙 𝑠𝑝𝑎𝑛 𝑝𝑜𝑙𝑒 𝑝𝑖𝑡𝑐 ℎ = 5 6 = 0.833 Corresponding to this the value of Ks from Figure is 0.875
  • 8. about history timeline teams services follow 01 02 03 ALAN MARTIN CEO, COMPANY NAME Here Write Brief Message About Yourself JHON DOE CEO, COMPANY NAME Here Write Brief Message About Yourself PABLO PICASO CEO, COMPANY NAME Here Write Brief Message About Yourself Leakage StatorSlot Reactance RotorSlot Reactance Overhang Leakage End Overhang Reactance(Contd.) We have , L0λ0 = µ0Ks( 𝜏2 𝜋𝑌𝑠𝑠 ) Now, ratio 𝑐𝑜𝑖𝑙 𝑠𝑝𝑎𝑛 𝑝𝑜𝑙𝑒 𝑝𝑖𝑡𝑐 ℎ = 5 6 = 0.833 Corresponding to this the value of Ks from Figure is 0.875 L0λ0 = 4𝜋 × 10−7 × 0.875×0.1012 𝜋×16.68×10−3 = 2.14×10-7 Overhang leakage reactance, χ0 = 8πf Ts 2 L0λ0 𝑝𝑞 𝑠 = 8π×50×2802 ×( 2.14×10−7 4×2 ) = 2.64 Ω
  • 9. about history timeline teams services follow 01 02 03 ALAN MARTIN CEO, COMPANY NAME Here Write Brief Message About Yourself JHON DOE CEO, COMPANY NAME Here Write Brief Message About Yourself PABLO PICASO CEO, COMPANY NAME Here Write Brief Message About Yourself Leakage StatorSlot Reactance RotorSlot Reactance Overhang Leakage MESSAGE FROM ALAN MARTIN CEO, COMPANY NAME Here Write a Short Message About Your Company Objectives and Previous Years Projects that may have Influence over Your Audience and It will Bring a Good Impression End Slot Leakage Reactance =5.92 Ω Overhang Reactance =2.64 Ω
  • 10. about history timeline teams services follow 01 02 03 ALAN MARTIN CEO, COMPANY NAME Here Write Brief Message About Yourself JHON DOE CEO, COMPANY NAME Here Write Brief Message About Yourself PABLO PICASO CEO, COMPANY NAME Here Write Brief Message About Yourself Leakage StatorSlot Reactance RotorSlot Reactance Overhang Leakage MESSAGE FROM ALAN MARTIN CEO, COMPANY NAME Here Write a Short Message About Your Company Objectives and Previous Years Projects that may have Influence over Your Audience and It will Bring a Good Impression End Thank you