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Circle Diagram Induction Motor.

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1 Circle Diagram Induction Motor

2 𝑂𝐴= 𝐼0 V1/Ph. 𝑂𝐡= 𝐼𝑆𝐢 @ π‘Ÿπ‘Žπ‘‘π‘’π‘‘ π‘£π‘œπ‘™π‘‘π‘Žπ‘”π‘’ π‘π‘’π‘Ÿ π‘β„Ž. 𝐴𝐷= 𝑉 𝑋 1 + 𝑋 2 , B SC 0 C D A O

3 𝐹𝐡=π‘†π‘‘π‘Žπ‘‘π‘œπ‘Ÿ & π‘…π‘œπ‘‘π‘œπ‘Ÿ πΆπ‘œπ‘π‘π‘’π‘Ÿ πΏπ‘œπ‘ π‘  π‘Žπ‘‘ π‘Ÿπ‘Žπ‘‘π‘’π‘‘ π‘£π‘œπ‘™π‘‘π‘Žπ‘”π‘’ π‘‘π‘’π‘Ÿπ‘–π‘›π‘” π‘†β„Žπ‘œπ‘Ÿπ‘‘ πΆπ‘–π‘Ÿπ‘π‘’π‘–π‘‘
𝐸𝐹=πΆπ‘œπ‘›π‘ π‘‘π‘Žπ‘›π‘‘ πΏπ‘œπ‘ π‘  V1 𝐹𝐡=π‘†π‘‘π‘Žπ‘‘π‘œπ‘Ÿ & π‘…π‘œπ‘‘π‘œπ‘Ÿ πΆπ‘œπ‘π‘π‘’π‘Ÿ πΏπ‘œπ‘ π‘  π‘Žπ‘‘ π‘Ÿπ‘Žπ‘‘π‘’π‘‘ π‘£π‘œπ‘™π‘‘π‘Žπ‘”π‘’ π‘‘π‘’π‘Ÿπ‘–π‘›π‘” π‘†β„Žπ‘œπ‘Ÿπ‘‘ πΆπ‘–π‘Ÿπ‘π‘’π‘–π‘‘ 𝐹𝐺 𝐺𝐡 = π‘†π‘‘π‘Žπ‘‘π‘œπ‘Ÿ π‘…π‘’π‘ π‘–π‘ π‘‘π‘Žπ‘›π‘π‘’ π‘…π‘œπ‘‘π‘œπ‘Ÿ π‘…π‘’π‘ π‘–π‘ π‘‘π‘Žπ‘›π‘π‘’ B 𝐹𝐺=π‘†π‘‘π‘Žπ‘‘π‘œπ‘Ÿ 𝐢𝑒 𝑆𝐢 𝐡𝐺=π‘…π‘œπ‘‘π‘œπ‘Ÿ 𝐢𝑒 SC Output Line G Torque Line C F D A O E

4 1. Data Corresponding to Rated Output 𝐡𝐻=𝑂𝑒𝑑𝑝𝑒𝑑 𝐴𝐻′=𝐡𝐻
H 𝐡𝐻=𝑂𝑒𝑑𝑝𝑒𝑑 V1 𝐴𝐻′=𝐡𝐻 𝑂 𝐾 1 = π‘†π‘‘π‘Žπ‘‘π‘œπ‘Ÿ πΆπ‘’π‘Ÿπ‘Ÿπ‘’π‘›π‘‘, 𝐼 1 𝐸 1 𝐹 1 =πΆπ‘œπ‘›π‘ π‘‘π‘Žπ‘›π‘‘ πΏπ‘œπ‘ π‘  𝐹 1 𝐺 1 =π‘†π‘‘π‘Žπ‘‘π‘œπ‘Ÿ 𝐢𝑒 π‘™π‘œπ‘ π‘  𝐺 1 𝐡 1 =π‘…π‘œπ‘‘π‘œπ‘Ÿ 𝐢𝑒 π‘™π‘œπ‘ π‘  B 𝐸𝑓𝑓𝑖𝑐𝑖𝑒𝑛𝑐𝑦, = 𝐡 1 𝐾 1 𝐸 1 𝐾 1 Output Line K1 H’ G Torque Line 1 B1 G1 F1 C F D A O E1 E

5 2. Data Corresponding to a Particular Current Drawn
𝑂 𝐾 2 = π‘†π‘‘π‘Žπ‘‘π‘œπ‘Ÿ πΆπ‘’π‘Ÿπ‘Ÿπ‘’π‘›π‘‘, 𝐼 2 V1 𝐸 2 𝐹 2 =πΆπ‘œπ‘›π‘ π‘‘π‘Žπ‘›π‘‘ πΏπ‘œπ‘ π‘  𝐹 2 𝐺 2 =π‘†π‘‘π‘Žπ‘‘π‘œπ‘Ÿ 𝐢𝑒 π‘™π‘œπ‘ π‘  𝐺 2 𝐡 2 =π‘…π‘œπ‘‘π‘œπ‘Ÿ 𝐢𝑒 π‘™π‘œπ‘ π‘  𝐡2𝐾2=π‘€π‘’π‘β„Ž π‘œπ‘’π‘‘π‘π‘’π‘‘ 𝐸𝑓𝑓𝑖𝑐𝑖𝑒𝑛𝑐𝑦, = 𝐡 2 𝐾 2 𝐸 2 𝐾 2 B 𝑠𝑙𝑖𝑝= 𝐡 2 𝐺 2 𝐾 2𝐺 2 K2 π‘‘π‘œπ‘Ÿπ‘žπ‘’π‘’= 𝐾 2 𝐺 2 2𝑝𝑖𝑁𝑠/60 Output Line G Torque Line 2 B2 G2 C F2 F D A O E2 E

6 3. Data Corresponding to Max Power Developed
𝑂 𝐾 3 = π‘†π‘‘π‘Žπ‘‘π‘œπ‘Ÿ πΆπ‘’π‘Ÿπ‘Ÿπ‘’π‘›π‘‘, 𝐼 3 V1 𝐸 3 𝐹 3 =πΆπ‘œπ‘›π‘ π‘‘π‘Žπ‘›π‘‘ πΏπ‘œπ‘ π‘  𝐹 3 𝐺 3 =π‘†π‘‘π‘Žπ‘‘π‘œπ‘Ÿ 𝐢𝑒 π‘™π‘œπ‘ π‘  𝐺 3 𝐡 3 =π‘…π‘œπ‘‘π‘œπ‘Ÿ 𝐢𝑒 π‘™π‘œπ‘ π‘  𝐸𝑓𝑓𝑖𝑐𝑖𝑒𝑛𝑐𝑦, = 𝐡 3 𝐾 3 𝐸 3 𝐾 3 B K3 𝑆𝑙𝑖𝑝, 𝑠= 𝐺 3 𝐡 3 𝐺 3 𝐾 3 Output Line G B3 Torque Line 3 G3 C F3 F D A O E3 E

7 4. Data Corresponding to Max Torque Developed
𝑂 𝐾 4 = π‘†π‘‘π‘Žπ‘‘π‘œπ‘Ÿ πΆπ‘’π‘Ÿπ‘Ÿπ‘’π‘›π‘‘, 𝐼 4 V1 𝐸 4 𝐹 4 =πΆπ‘œπ‘›π‘ π‘‘π‘Žπ‘›π‘‘ πΏπ‘œπ‘ π‘  𝐹 4 𝐺 4 =π‘†π‘‘π‘Žπ‘‘π‘œπ‘Ÿ 𝐢𝑒 π‘™π‘œπ‘ π‘  𝐺 4 𝐡 4 =π‘…π‘œπ‘‘π‘œπ‘Ÿ 𝐢𝑒 π‘™π‘œπ‘ π‘  𝐸𝑓𝑓𝑖𝑐𝑖𝑒𝑛𝑐𝑦, = 𝐡 4 𝐾 4 𝐸 4 𝐾 4 K4 B 𝑆𝑙𝑖𝑝, 𝑠= 𝐺 4 𝐡 4 𝐺 4 𝐾 4 Output Line B4 G Torque Line G4 4 C F4 F D A O E4 E

8 6. Data Corresponding to Max Power Input 𝑂 𝐾 6 = π‘†π‘‘π‘Žπ‘‘π‘œπ‘Ÿ πΆπ‘’π‘Ÿπ‘Ÿπ‘’π‘›π‘‘, 𝐼 6
V1 𝐸 6 𝐹 6 =πΆπ‘œπ‘›π‘ π‘‘π‘Žπ‘›π‘‘ πΏπ‘œπ‘ π‘  𝐹 6 𝐺 6 =π‘†π‘‘π‘Žπ‘‘π‘œπ‘Ÿ 𝐢𝑒 π‘™π‘œπ‘ π‘  𝐺 6 𝐡 6 =π‘…π‘œπ‘‘π‘œπ‘Ÿ 𝐢𝑒 π‘™π‘œπ‘ π‘  K6 𝐸𝑓𝑓𝑖𝑐𝑖𝑒𝑛𝑐𝑦, = 𝐡 6 𝐾 6 𝐸 6 𝐾 6 B 𝑆𝑙𝑖𝑝, 𝑠= 𝐺 6 𝐡 6 𝐺 6 𝐾 6 Output Line B6 G Torque Line G6 6 C F6 F D A O E6 E


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