Direct Power and Torque Control of AC/DC/AC Converter-Fed ...

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2. Voltage Source Converters – VSC 2.4.3. IM Model in Synchronous Rotating dq Coordinates - RFOC In a system of coordinates rotating concurrently with the rotor flux linkage angular speed Ω = Ω such that: r r K rd , Ψ r Ψ =Ψ = Ψ (2.16) it is convenient to analyze dynamic states of induction motors. In the case of a squirrel-cage rotor motor: U U = U = 0, (2.17) rdq = rd rq When the stator current control loop is used (e.g. indirect field oriented control – IFOC) the block diagram of the motor can be simplified by omitting the stator circuit voltage equation (2.5). Therefore, the set of equations for current controlled VSI-fed IM can be written: ( − p Ω ) , dΨ = (2.18) dt rdq 0 RrI rdq + + j Ω Ψ r b m Ψrdq Ψ = L I + L I (2.19) Sdq S Sdq M rdq, Ψ = L I + L I , (2.20) rdq r rdq M Sdq ⎤ ( I ) − M ⎥ ⎦ dΩm 1 ⎡ mS = ⎢ pb Im Ψ * Sdq Sdq L (2.21) dt J ⎣ 2 From Eq. (2.18) and Eq. (2.19): 1 LM Irdq = Ψrdq − ISdq, (2.22) L L r r and substituting Eq. (2.21) into Eq. (2.18) one obtains: R L R dΨ = (2.23) ( − p Ω ) Ψ , r M r rdq 0 − ISdq + Ψrdq + + j Ω Ψ r b m rdq Lr Lr dt After decomposition into real d and imaginary q parts: Rr LM Rr dΨ r 0 = − I Sd + Ψ r + , (2.24) L L dt r r ( − p Ω ) Ψ , Rr LM 0 = − I Sq + Ω Ψ r b m r (2.25) L r Moreover, eliminating from (2.21) the stator flux can be rewritten in the form: * Ψ Sdq vector, a motion equation 18
2. Voltage Source Converters – VSC dΩ dt 1 ⎡ ⎢ p J ⎣ m ⎛ L Im ⎜ ⎝ L ⎞ ⎟ − M ⎠ m S M = b Ψ * rdqISdq L 2 r ⎤ ⎥ , (2.26) ⎦ where, the electromagnetic torque developed by the IM is expressed by: M m L m L S M S M e = pb Ψ r ISq = pb Ψ r I S sin I L s (2.27) 2 r 2 Lr Additionally, an angular slip frequency can be described as: Ω = ΩΨ − Ω (2.28) r p b r m Equations (2.23), (2.24), (2.25) and (2.26) form the block diagram of Fig. 2. 8. γ ISd Rr L L r M + − R R RL S R 1 s Ψrd msL 2L M r p b Ψ rd M e I Sq Rr L L r M ÷ ( − Ω ) Ω Ψ r p b m + 1 sJ − M L Ω m Fig. 2. 8. Model of current controlled VSI-fed IM in rotor flux oriented synchronous dq coordinates 2.4.4. IM Model in Synchronous Rotating xy Coordinates - SFOC Adopting a system of coordinates rotating concurrently with the stator flux linkage angular speed Ω = Ω such that: S S Sx, K Ψ S Ψ =Ψ = Ψ (2.29) it is convenient to analyze a dynamic states of induction motors when direct torque control with space vector modulation – DTC-SVM is applied. In the case of a squirrel-cage rotor motor: 19
Page 1 and 2: POLITECHNIKA WARSZAWSKA WARSAW UNIV
Page 3 and 4: Acknowledgements The work presented
Page 5 and 6: Contents 4.2.2. Energy of the DC-li
Page 7 and 8: Chapter 1 1. Introduction 1.1. AC/D
Page 9 and 10: 1. Introduction Tab. 1. 1. Current
Page 11 and 12: 1. Introduction DC-link voltage to
Page 13 and 14: 1. Introduction then nominal speed
Page 15 and 16: 1. Introduction [69]. From that tim
Page 17 and 18: Chapter 2 2. Voltage Source Convert
Page 19 and 20: 2. Voltage Source Converters - VSC
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Chapter 4 4. Direct Power and Torqu
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4. Direct Power and Torque Control
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Chapter 5 5. Passive Components Des
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5. Passive Components Design 5.2.2.
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5. Passive Components Design a) b)
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5. Passive Components Design C T
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5. Passive Components Design Theref
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5. Passive Components Design motor
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Chapter 6 6. Simulation an Experime
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6. Simulation and Experimental Resu
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Chapter 7 7. Summary and Conclusion
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7. Summary and Conclusion • easy
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References [18] G. Buja, M. P. Kazm
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References [58] J. G. Kassakian, M.
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References [96] H. Mao, D. Boroyevi
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References [133] A. Tripathi, A. M.
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References [167] M. Jasiński, D.
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Symbols Employed I L - I LA I r - r
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Symbols Employed U pA ,U pB , U pC
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A. Appendices A.1. Space vector in
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Appendices In the special condition
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Appendices A.2. Coordinate Transfor
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Appendices S 3 UI 2 m s * * = = - a
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Appendices Tab. A. 4. 3. Date of th
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Appendices LINE L1 L C F Fig. A. 4.
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Appendices Tab. A. 4. 6. Data of th
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