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Transformer Losses & Efficiency. Lecture No. 06 By. Sajid Hussain Qazi. Transformer Ratings. Transformers are rated to supply a given output in Kilo Volt Amps or KVA at a specified frequency and terminal voltage. Transformer Ratings. They are NOT rated in Watts
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TransformerLosses & Efficiency Lecture No. 06 By. SajidHussainQazi
Transformer Ratings Transformers are rated to supply a given output in Kilo Volt Amps or KVA at a specified frequency and terminal voltage.
Transformer Ratings They are NOT rated in Watts The load power factor is unknown Apparent Power
Problem S = 2 kVA V2 = 230 V V1 = 6,351 V Power output at unity PF ? Power = S x PF P = 2 kVA x 1 P = 2 kW
Problem S = 2 kVA V2 = 230 V V1 = 6,351 V Full load secondary current at 0.8 PF ? I = 10.87 A
Problem S = 20 kVA V1 = 1270 V V2 = 200 V (a) Power output at unity power factor P = 20 kW
Problem S = 20 kVA V1 = 1270 V V2 = 200 V (b) Power output at 0.8 power factor P = 16 kW
Problem S = 20 kVA V1 = 1270 V V2 = 200 V (c) Full-load secondary current at unity power factor I = 100 A
Efficiency Ratio between Input power and Output Power
Efficiency Efficiency is normally expressed as a percentage
Transformer Efficiency PowerIn PowerOut η = 100% Overcome Copper Losses OvercomeIron Losses Some Poweris used to:
Problem S = 20 kVA V1 = 230 V η = 90% V2 = 32 V PF = 0.85 (a) Power output of transformer P = 85 W
Problem S = 20 kVA V1 = 230 V η = 90% V2 = 32 V PF = 0.85 (b) Power input P = 94.4 W
Problem S = 20 kVA V1 = 230 V η = 90% V2 = 32 V PF = 0.85 (c) Losses P = 9.4W
Transformer Losses Copper Losses (Cu) • Varies with load current • Produces HEAT • Created by resistance of windings • Short circuit test supplies copper losses
Short Circuit Test Copper Losses (Cu) Limited Supply Voltage ≈ 5-10 % Secondary Short Circuited Wattmeter indicates Copper Losses (Cu)
Short Circuit Test Copper Losses (Cu) • Finds Cooper losses at full load • Copper losses vary with the square of the load Full load Cu loss = 100 W Transformer loaded at 50% PCu = 25 W
Copper Losses (Cu) Cu Losses (W) % Load
Transformer Losses Iron Losses (Fe) • Fixed • Always present • Related to transformers construction Eddy Currents Hysteresis Reduced by laminations Produces HEAT Reduced by using special steels in laminations
Open Circuit Test Finds Iron Losses (Fe) Full Supply Voltage Secondary Open Circuit Wattmeter indicates Iron Losses (Fe)