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

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2. Voltage Source Converters – VSC U U = U = 0, (2.30) rxy = rx ry The set of equations (2.5)-(2.9) can be written as follows: U dΨ Sxy Sxy = RSI Sxy + + jΩΨ Ψ Sxy, (2.31) dt S ( − p Ω ) , dΨ = (2.32) dt rxy 0 RrI rxy + + j Ω Ψ S b m Ψrxy Ψ = L I + L I (2.33) Sxy rxy S r Sxy rxy M M rxy, Ψ = L I + L I (2.34) dΩ dt 1 ⎡ ⎢ p J ⎣ m 2 Sxy, ⎤ ( I ) − M ⎥ ⎦ m S = b Im Ψ * Sxy Sxy L (2.35) Rearranging Eq. (2.33) and (2.34) the equation for currents can be obtained as: I I L w L w r M Sxy = Ψ Sxy − Ψrxy, (2.36) L w L w S M rxy = Ψrxy − Ψ Sxy, (2.37) and based on Eq. (2.29) the equation (2.35) can be rewritten as: dΩm dt 1 ⎡ mS ⎤ = ⎢ pb Ψ S I Sy − M L ⎥ (2.38) J ⎣ 2 ⎦ Where the torque is described by: M m 2 S e = pb Ψ SxI Sy (2.39) Model in synchronous coordinates ( xy ) rotating concurrently with stator flux linkage vector can be constructed as shown in Fig. 2. 9. 20
2. Voltage Source Converters – VSC R S U Sx + − 1 s ΨSx L R + − g I Sx L M I Sy U Sy + − ÷ Ω SΨS m s p b 2 R S STATOR + − M e M L − + R r 1 s Ψ rx L S + L M − g I rx 1 sJ Ω m + − p b g − L M − − 1 s R r Ψ ry ROTOR g L S I ry 1 1 g = = w L L − s r 2 L M Fig. 2. 9. Model of VSI-fed IM - in stator flux oriented synchronous xy coordinates Based on Eq. (2.9) the relation between stator and rotor fluxes can be derived as: M p m ⎛ L Im ⎜ ⎝ L Ψ Ψ S M * e = b rxy Sxy 2 r σLs And it gives the relation: M e 1 ⎞ ⎟ (2.40) ⎠ mS LM 1 mS LM 1 = pb ΨryΨ S = pb ΨrΨS sinγ Ψ (2.41) 2 L σL 2 L σL r S When constructing a block diagram of the IM a simplification can be made by omitting the rotor circuit voltage equation (2.32). After decomposition the Eq. (2.31) into real x and imaginary y part: U U r dΨ S = RS I Sx , (2.42) dt Sx + Sy = R I + Ω Ψ , (2.43) S Sy Ψ S Rearranging Eq. (2.39) into form: S S 21
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
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Page 13 and 14: 1. Introduction then nominal speed
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Page 19 and 20: 2. Voltage Source Converters - VSC
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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 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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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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