Space Vector Modulated – Direct Torque Controlled (DTC – SVM ...

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2. Voltage Source Inverter Fed Induction Motor Drive U dΨ sβ = RsI sβ (2.14b) dt sβ + dΨ rα 0 = R rIrα + + pbΩmΨ rβ (2.14c) dt dΨ rβ 0 = Rr Ir β + − pbΩmΨ rα (2.14d) sα s sα dt Ψ = L I + L I (2.15a) sβ s sβ M M rα Ψ = L I + L I (2.15b) rβ Ψ = L I + L I (2.15c) rα rβ r rα r rβ M M sα Ψ = L I + L I (2.15d) sβ dΩ dt m 1 ⎡ ⎢ p J ⎣ m 2 ⎤ ( Ψ I −Ψ I ) − M ⎥ ⎦ s = b sα sβ sβ sα L (2.16) The relations described above by the motor equations can be represented as a block diagram. There is not just one block diagram of an induction motor. The lay-out Construction of a block diagram will depend on the chosen coordinate system and input signals. For instance, if it is assumed in the stationary α − β coordinate system that the input signal to the motor is the stator voltage, the equations (2.14-2.16) can be transformed into: dΨ dt dΨ dt dΨ dt dΨ I I dt sα sβ sα sβ rα rβ = U − R I (2.17a) sα sβ s sα = U − R I (2.17b) r rα s sβ = −R I − p Ω Ψ (2.17c) r rβ b b m m rβ = −R I + p Ω Ψ (2.17d) rα LM = 1 Ψ sα − Ψ rα (2.18a) σL σL L s s r LM = 1 Ψ sβ − Ψ rβ (2.18b) σL σL L r s r 10
2.2. Mathematical Model of Induction Motor I I rα rβ LM = 1 Ψ rα − Ψ sα (2.18c) σL σL L r s r LM = 1 Ψ rβ − Ψ sβ (2.18d) σL σL L r s r dΩ dt m 1 ⎡ ⎢ p J ⎣ m 2 ⎤ ( Ψ I −Ψ I ) − M ⎥ ⎦ s = b sα sβ sβ sα L (2.19) These equations can be represented in the block diagram as shown in Fig. 2.2. M L R s U sα ∫ Ψ sα 1 σL s I sα LM σL L s r LM σL L s r ms pb 2 M e 1 J ∫ Ω m R r ∫ I rα Ψ rα 1 σL r p b ∫ R r Ψ rβ I rβ 1 σL r LM σL L s r LM σL L s r U sβ ∫ Ψ sβ 1 σL s I sβ R s Fig. 2.2. Block diagram of an induction motor in the stationary coordinate system α − β This representation of the induction motor is not good for use to design a control structure, because the output signals flux, torque and speed depend on both inputs. From the control point of view this system is complicated. That is the reason why there are a 11
Page 1: Warsaw University of Technology Fac
Page 5 and 6: Contents 1. Introduction 1 Pages 2.
Page 7 and 8: 1. Introduction The Adjustable Spee
Page 9 and 10: 1. Introduction The first vector co
Page 11 and 12: 1. Introduction algorithms are desc
Page 13 and 14: 2.2. Mathematical Model of Inductio
Page 15: ( ) 2.2. Mathematical Model of Indu
Page 19 and 20: 2.3. Voltage Source Inverter (VSI)
Page 21 and 22: 2.3. Voltage Source Inverter (VSI)
Page 23 and 24: 2.4. Pulse Width Modulation (PWM) f
Page 25 and 26: 2.4. Pulse Width Modulation (PWM) U
Page 27 and 28: 2.4. Pulse Width Modulation (PWM) I
Page 29 and 30: 2.4. Pulse Width Modulation (PWM) d
Page 31 and 32: 2.4. Pulse Width Modulation (PWM) T
Page 35 and 36: 2.4. Pulse Width Modulation (PWM) a
Page 37 and 38: 2.4. Pulse Width Modulation (PWM) F
Page 41 and 42: 2.4. Pulse Width Modulation (PWM) T
Page 43 and 44: 2.4. Pulse Width Modulation (PWM) m
Page 45 and 46: 2.5. Summary random modulation tech
Page 47 and 48: 3.2. Field Oriented Control (FOC)
Page 49 and 50: 3.2. Field Oriented Control (FOC) F
Page 51 and 52: 3.3. Feedback Linearization Control
Page 53 and 54: 3.3. Feedback Linearization Control
Page 55 and 56: 3.4. Direct Flux and Torque Control
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3.4. Direct Flux and Torque Control
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3.4. Direct Flux and Torque Control
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3.5. Summary methods. Table 3.2 sum
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4.2. Structures of DTC-SVM - Review
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4.2. Structures of DTC-SVM - Review
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4.3. Analysis and Controller Design
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4.4. Speed Controller Design M L Ω
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4.4. Speed Controller Design the sp
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5. Estimation in Induction Motor Dr
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5.2. Estimation of Inverter Output
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5.2. Estimation of Inverter Output
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5.3. Stator Flux Vector Estimators
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5.5. Rotor Speed Estimation stator
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6. Configuration of the Developed I
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6.3. Laboratory Setup Based on DS11
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6.3. Laboratory Setup Based on DS11
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6.4. Drive Based on TMS320LF2406 Th
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6.4. Drive Based on TMS320LF2406 In
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7.2. Pulse Width Modulation Fig. 7.
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7.3. Flux and Torque Controllers f
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7.3. Flux and Torque Controllers Th
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7.4. DTC-SVM Control System b) Fig.
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7.4. DTC-SVM Control System Fig. 7.
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8. Summary and Conclusions which ar
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References [1] V. Ambrozic, G.S. Bu
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References [26] D. Casadei, G. Serr
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References [54] J. Holtz, Juntao Qu
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References [83] R. Marino, S. Peres
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References [111] Y. Xue, X. Xu, T.G
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List of Symbols a = e j2 π 3 1 =
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List of symbols U , U - stator volt
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List of symbols ZSS - Zero Sequence
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Appendices for even n: π 2 1− co
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Appendices Fig. A.2.2. Model of inv
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Appendices A.3. Data and Parameters
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Appendices A.4. Equipment Table A.4
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Appendices Fig. A.5.1. Block diagra
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Appendices A.6. Processor TMS320FL2
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Appendices • 40 Individually Prog
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