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Direct Torque Control of Induction Machine
Dr. Nik Rumzi Nik Idris Department of Energy Conversion, Faculty of Electrical Engineering, Universiti Teknologi Malaysia
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Basic Principles of DTC
High performance induction motor drives Field Oriented Control - FOC Direct Torque Control DTC
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Basic Principles of DTC
Tref Voltage vector selector Voltage Source Inverter Stator flux and torque estimator ref + _ IM T + Vdc Sa Sb Sc Stator flux and torque control within hysteresis bands Voltage vector selected based on stator flux and torque demands
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Basic Principles of DTC
How the voltage vectors control the flux? How the voltage vectors control the torque? These questions will be answered in the following slides
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Basic Principles of DTC
Space vector equations of IM :
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Basic Principles of DTC
Space vector equations of IM :
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Basic Principles of DTC
Direct Flux Control From stator voltage equation : Neglecting drop across Rs :
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Basic Principles of DTC
Direct Flux Control Voltage vectors for 3-phase VSI
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Basic Principles of DTC
Dy Hysteresis Flux band 100 110 010 011 101 001 y s Direct Flux Control
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Basic Principles of DTC
Direct Flux Control q Sector IV Sector III 60o I d Sector II Sector V Sector VI Sector I
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Basic Principles of DTC
Direct Flux Control vs,3 vs,2 vs,4 Sector I Sector II Hysteresis band vs,6 vs,5 vs,16 If the flux in kth sector k +1 vector increases k + 2 vector reduces Voltage vector vs,2 and vs,3 in sector I Voltage vector vs,3 and vs,4 in sector II
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Basic Principles of DTC
Direct Flux Control ref + /2 ref - /2 /2 - /2 Flux error Flux Error Status 1 t ref ref + _ 1 Flux error status Flux error
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Basic Principles of DTC
Direct Torque Control IM torque equation
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Basic Principles of DTC
Direct Torque Control It can be shown that Rotor flux follows the stator flux with a time constant r
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Basic Principles of DTC
Direct Torque Control t = t1 q q t = t1 + t Applying voltage vectors rotating in the same direction s s Rotate continuously Rotate continuously sr sr r d r d q t = t1 + t Applying voltage vectors in opposite direction or zero voltage vectors s Rotate continuously sr r d
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Basic Principles of DTC
Direct Torque Control Three cases are considered : Case 1 Forward active voltage vectors stator flux increases or decreases Increases sr Increases Torque
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Basic Principles of DTC
Direct Torque Control Case 2 Zero voltage vectors stator flux stops Decreases sr Decreases Torque
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Basic Principles of DTC
Direct Torque Control Case 3 Reverse active voltage vectors stator flux increases or decreases Decreases sr rapidly Decreases Torque rapidly
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Basic Principles of DTC
Direct Torque Control Torque reference Torque T/2 T/2 -1 T Tref + _ 1 T Torque error T Speed 1 Torque error status -1
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Basic Principles of DTC
By limiting the torque and flux within their hysteresis bands, de-coupling of torque and flux can be achieved
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Basic Principles of DTC
Tref Voltage vector selector Voltage Source Inverter Stator flux and torque estimator ref + _ IM T + Vdc Sa Sb Sc Stator flux and torque control within hysteresis bands Voltage vector selected based on stator flux and torque demands
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Basic Principles of DTC
Selection table for optimum switching pattern
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Stator Flux and Torque Estimation
Accurate estimation to ensure proper operation and stability Various methods proposed voltage model current model closed-loop observer
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Stator Flux and Torque Estimation
Stator flux- voltage model Problems: dc drift stator resistance variation
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Stator Flux and Torque Estimation
In d-q form
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Implementation of DTC Basic I/O requirements:
Phase Current measurement DC Link Voltage measurement Speed measurement from Incremental Encoder for closed-loop speed control (optional) Fast processor to reduce torque ripple
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Implementation of DTC
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Experimental Results From oscilloscope 55s sampling, 240V, ¼ HP IM
Step speed reference Speed Current Torque d-flux
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Experimental Results From oscilloscope 55s sampling, 240V, ¼ HP IM
Square wave speed reference Speed Current Torque
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