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Harmonic Analysis of a DFIG for a Wind Energy Conversion System. Lingling Fan, Ph.D., P.E. Assistant Professor Dept. Electrical Engineering University of South Florida Tampa, FL 33620 Linglingfan@usf.edu April 20, 2010. 2010 IEEE Transmission & Distribution Conference and Exhibition
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Harmonic Analysis of a DFIG for a Wind Energy Conversion System Lingling Fan, Ph.D., P.E. Assistant Professor Dept. Electrical Engineering University of South Florida Tampa, FL 33620 Linglingfan@usf.edu April 20, 2010 2010 IEEE Transmission & Distribution Conference and Exhibition New Orleans, LA
Outline • Objective • Principle • Case studies • Rotor injection • Unbalanced stator conditions • Conclusion
Objective • Develop a steady-state circuit to give quantitative analysis for harmonics in DFIG • The work is useful for understanding of • DFIG behavior during non-sinusoidal rotor injection • DFIG under unbalanced grid conditions (fault ride through)
fm Doubly Fed Induction Generator Ps RSC AC/DC GSC DC/AC Pr = sPs
Frequency components in rotor voltage and stator current • Stator currents • (6n+1)fr+fm, -(6n-1)fr+fm,
Electromagnetic torque • Interaction of stator and rotor currents Ex: Is1, Ir2 torque (60- (-120 +36)) = 144 Hz = 6*24 Hz 6fr Is1, Ir3 torque (60- (168 +36)) = -144 Hz = -6*24 Hz 6fr
Torque +
Case study 2 – unbalanced stator conditions • Rotor injection – programmable power source –sinusoidal 3-phase • Stator phase a resistance is reduced
Analysis Unbalanced stator currents Positive sequence (fe) Negative sequence (-fe) Zero sequence Rotor currents Ir: fe-fm=sfe Ir: -fe-fm=-(2-s)fe s: slip = 1-fm/fe fm: electric frequency corresponding to rotating speed. fe: nominal frequency 60 Hz (stator) – 50 Hz (rotating speed) = 10 Hz -60 Hz (stator) – 50 Hz (rotating speed) = -110 Hz
Torque • Te1 Te2 – dc components • Te3, Te4 – pulsating components 120 Hz
Reference frames Pos. Neg. Sequences can be separated by a dc filter!
Conclusion • This paper develops • A generalized steady-state DFIG circuit for harmonic analysis • A systematic method to compute torque by computing the interactions of stator and rotor currents • The sequence network based on DFIG pos, neg circuits which facilitates the analysis under unbalanced stator conditions.