Transcription
PHASOR DIAGRAM OFTRANSFORMERPrepared ByELECTRICALBABA.COM
IMPORTANT POINTS FOR PHASOR OFTRANSFORMERTransformer when excited at no load, only takesexcitation current which leads the working Flux byHysteretic angle α. Excitation current is made up of two components, onein phase with the applied Voltage V is called Core Losscomponent (Ic) and another in phase with the workingFlux Ø called Magnetizing Current (Im). Electromotive Force (EMF) created by working FluxØ lags behind it by 90 degree. When Transformer is connected with a Load, it takesextra current I’ from the Source so that N1I’ N2I2where I’ is called load componete of Primary Current I 1.
IMPORTANT POINTS FOR PHASOR OFTRANSFORMER So under load condition, I 1 Primary Current, isphasor Sum of I’ and Excitation Current Ie.
NO LOAD PHASOR OF A TRANSFORMER
NO LOAD PHASOR OF A TRANSFORMER Working Flux Ø taken as ReferenceFlux Ø
NO LOAD PHASOR OF A TRANSFORMER Excitation Current Ie leading Ø by α.IeαØ
NO LOAD PHASOR OF A TRANSFORMER Induced EMF E1 and E2 lagging Flux by 90 degree.IeαØE1, E2 V2
NO LOAD PHASOR OF A TRANSFORMER V1’ -E1V1’ -E1IeIcαImE1, E2 V2Ø
NO LOAD PHASOR OF A TRANSFORMER Voltage drop r1Ie in Primary.V1’ -E1r1IeIeIcαImE1, E2 V2
NO LOAD PHASOR OF A TRANSFORMERVoltage drop IeX1 in Primary due to reactance.jIeX1V1’ -E1r1IeIeIcαImE1, E2 V2Ø
NO LOAD PHASOR OF A TRANSFORMERSourec Voltage V1 V1’ r1Ie jIeX1, phasor sum.jIeX1V1r1IeV1’ -E1IeIcαImE1, E2 V2Ø
NO LOAD PHASOR OF A TRANSFORMERNo load Power Factor CosƟjIeX1V1r1IeV1’ -E1IeƟIcαImE1, E2 V2Ø
PHASOR OF A TRANSFORMER FORINDUCTIVE LOAD
PHASOR OF A TRANSFORMER FORINDUCTIVE LOADAs load is inductive, secondary current will lagsecondary load voltage V2 by some angle. r1 Primary winding Resistance X1 Primary winding leakage Reactance r2 Secondary winding Resistance X2 Secondary winding leakage Reactance
PHASOR OF A TRANSFORMER FORINDUCTIVE LOAD Working Flux Ø is taken as referance.Ø
PHASOR OF A TRANSFORMER FORINDUCTIVE LOADIeαØ
PHASOR OF A TRANSFORMER FORINDUCTIVE LOADIeαØE1,E2
PHASOR OF A TRANSFORMER FORINDUCTIVE LOADV1’ -E1IeαØE1,E2
PHASOR OF A TRANSFORMER FORINDUCTIVE LOADV1’ -E1IeαØV2E1,E2
PHASOR OF A TRANSFORMER FORINDUCTIVE LOAD Working Flux Ø is taken as referance.V1’ -E1I1’IeαØƟ2I2V2E1,E2
PHASOR OF A TRANSFORMER FORINDUCTIVE LOAD Working Flux Ø is taken as referance.V1’ -E1I1’ I1IeαØƟ2I2V2E1,E2
PHASOR OF A TRANSFORMER FORINDUCTIVE LOAD Working Flux Ø is taken as referance.I1r1V1’ -E1I1’ I1IeαØƟ2I2V2E1,E2
PHASOR OF A TRANSFORMER FORINDUCTIVE LOAD Working Flux Ø is taken as referance.jI1X1I1r1V1’ -E1I1’ I1IeαØƟ2I2V2E1,E2
PHASOR OF A TRANSFORMER FORINDUCTIVE LOAD Working Flux Ø is taken as referance.jI1X1V1I1r1V1’ -E1I1’ I1IeαØƟ2I2V2E1,E2
PHASOR OF A TRANSFORMER FORINDUCTIVE LOAD Working Flux Ø is taken as referance.jI1X1V1I1r1V1’ -E1I1’ I1IeαØƟ2I2V2I2r2E1,E2
PHASOR OF A TRANSFORMER FORINDUCTIVE LOAD E2 V2 I2r2 jI2X2, phasor sumjI1X1V1I1r1V1’ -E1I1’ I1IeαØƟ2I2V2I2r2jI2X2E1,E2
PHASOR OF A TRANSFORMER FORINDUCTIVE LOAD Primary Power Factor Cos Ɵ1, angle between V1 &I1.jI1X1V1I1r1V1’ -E1I1’ I1Ɵ1 IeαØƟ2I2V2I2r2jI2X2E1,E2
PHASOR OF A TRANSFORMER FORCAPACITIVE LOAD As load is capacitive, secondary current will leadsecondary load voltage V2 by some angle.
PHASOR OF A TRANSFORMER FORCAPACITIVE LOAD Working Flux Ø is taken as reference.Ø
PHASOR OF A TRANSFORMER FORCAPACITIVE LOADIeαØ
PHASOR OF A TRANSFORMER FORCAPACITIVE LOADIeαØE1,E2
PHASOR OF A TRANSFORMER FORCAPACITIVE LOADV1’ E1IeαØV2E1,E2
PHASOR OF A TRANSFORMER FORCAPACITIVE LOADV1’ E1IeαØƟ2V2I2E1,E2
PHASOR OF A TRANSFORMER FORCAPACITIVE LOADI1’V1’ E1IeαØƟ2V2I2E1,E2
PHASOR OF A TRANSFORMER FORCAPACITIVE LOADV1’ E1 I1’I1IeαØƟ2V2I2E1,E2
PHASOR OF A TRANSFORMER FORCAPACITIVE LOADI1r1V1’ E1I1I1’IeαØƟ2V2I2E1,E2
PHASOR OF A TRANSFORMER FORCAPACITIVE LOADjI1XI1r1V1’ E1I1I1’IeαØƟ2V2I2E1,E2
PHASOR OF A TRANSFORMER FORCAPACITIVE LOADjI1XI1r1V1 V1’ I1r1 jI1X1, phasorsumV1V1’ I1E1I1’IeαØƟ2V2I2E1,E2
PHASOR OF A TRANSFORMER FORCAPACITIVE LOADjI1XI1r1V1 V1’ I1r1 jI1X1, phasorsumV1V1’ I1E1I1’IeαØƟ2V2I2I2r2E1,E2
PHASOR OF A TRANSFORMER FORCAPACITIVE LOADjI1XI1r1E2 V2 I2r2 jI2X2, phasorsumV1V1’ I1E1I1’IeαØƟ2V2I2I2r2jI2X2E1,E2
PHASOR OF A TRANSFORMER FORCAPACITIVE LOADjI1XI1r1E2 V2 I2r2 jI2X2, phasorsumV1V1’ I1E1I1’Ɵ1IeαØƟ2V2I2I2r2jI2X2E1,E2
PHASOR OF A TRANSFORMER FORRESISTIVE LOAD
PHASOR OF A TRANSFORMER FORRESISTIVE LOAD For Resistive Load, load current will be in phasewith the load Voltage V2.
PHASOR OF A TRANSFORMER FORRESISTIVE LOAD Working Flux Ø is taken as reference.Ø
PHASOR OF A TRANSFORMER FORRESISTIVE LOADIeαØ
PHASOR OF A TRANSFORMER FORRESISTIVE LOADIeαØE1,E2
PHASOR OF A TRANSFORMER FORRESISTIVE LOADV1’ -E1IeαØE1,E2
PHASOR OF A TRANSFORMER FORRESISTIVE LOADV1’ -E1IeαØV2E1,E2
PHASOR OF A TRANSFORMER FORRESISTIVE LOADV1’ -E1IeαØI2V2E1,E2
PHASOR OF A TRANSFORMER FORRESISTIVE LOADV1’ -E1I1’IeαØI2V2E1,E2
PHASOR OF A TRANSFORMER FORRESISTIVE LOADV1’ -E1I1’I1IeαØI2V2E1,E2
PHASOR OF A TRANSFORMER FORRESISTIVE LOADI1r1V1’ -E1I1’I1IeαØI2V2E1,E2
PHASOR OF A TRANSFORMER FORRESISTIVE LOADjI1X1I1r1V1’ -E1I1’I1IeαØI2V2E1,E2
PHASOR OF A TRANSFORMER FORRESISTIVE LOADjI1X1V1V1 V1’ I1r1 jI1X1, phasorsumI1r1V1’ -E1I1’I1IeαØI2V2E1,E2
PHASOR OF A TRANSFORMER FORRESISTIVE LOADjI1X1V1I1r1V1’ -E1I1’I1IeαØI2V2I2r2E1,E2
PHASOR OF A TRANSFORMER FORRESISTIVE LOADjI1X1V1I1r1E2 V2 I2r2 jI2X2, phasor sumV1’ -E1I1’I1IeαØI2V2I2r2E1,E2jI2X2
COMMENTS? / QUESTIONS?
TRANSFORMER Transformer when excited at no load, only takes excitation current which leads the working Flux by Hystereticangleα. Excitation current is made up of two components, one in phase with the applied Voltage V is called Core Loss component (Ic) and another in phase with the workin
