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# 8412_slides_topic2 - 1 1 EE8412 Advanced AC Drive Systems...

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Unformatted text preview: 1 1 EE8412 Advanced AC Drive Systems Topic 2 Induction Motor Dynamic Models EE8412 Textbook: Bin Wu, ‘High-Power Converters and AC Drives’, Wiley-IEEE Press, 2006, ISBN: 0-471-73171-4 Six-phase synchronous motor (100MW, 12.5KV, 2.8KA) Source: ABB 2 EE8412 Advanced AC Drive Systems Lecture Topics 1) Reference Frame Theory 2) Induction Motor Dynamic Models 3) Induction Motor Transient Characteristics EE8412 Textbook: Bin Wu, ‘High-Power Converters and AC Drives’, Wiley-IEEE Press, 2006, ISBN: 0-471-73171-4 2 3 Topic 2 Induction Motor Dynamic Models Reference Frame Theory • abc/dq Frame Transformation b x q x e ω e ω 3 2 π 3 2 π d x a x c x θ Vector diagram EE8412 Textbook: Bin Wu, ‘High-Power Converters and AC Drives’, Wiley-IEEE Press, 2006, ISBN: 0-471-73171-4 4 • abc/dq Frame Transformation (continued) ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎣ ⎡ ⋅ ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ − − − − − − − = ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ c b a q d x x x x x ) 3 / 4 sin( ) 3 / 2 sin( sin ) 3 / 4 cos( ) 3 / 2 cos( cos 3 2 π θ π θ θ π θ π θ θ d, q – two-phase variables a, b, c – three-phase variables x – current, voltage or flux linkage θ – displacement between the a-axis and d-axis of the three-phase and two-phase reference frames ) ( ) ( θ ω θ + = ∫ t e dt t t s e f π ω 2 = where = + + c b a x x x Assumption: Textbook: Bin Wu, ‘High-Power Converters and AC Drives’, Wiley-IEEE Press, 2006, ISBN: 0-471-73171-4 Topic 2 Induction Motor Dynamic Models Reference Frame Theory EE8412 3 5 • dq/abc Frame Transformation ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ ⋅ ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎣ ⎡ − − − − − − − = ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎣ ⎡ q d c b a x x x x x ) 3 / 4 sin( ) 3 / 4 cos( ) 3 / 2 sin( ) 3 / 2 cos( sin cos π θ π θ π θ π θ θ θ Textbook: Bin Wu, ‘High-Power Converters and AC Drives’, Wiley-IEEE Press, 2006, ISBN: 0-471-73171-4 Topic 2 Induction Motor Dynamic Models Reference Frame Theory EE8412 6 • Currents in Different Frames as i bs i cs i − s i r qs i s i r ds i e ω e ω θ φ θ ω ω • abc-axis currents are sinusoidal signals over time in steady state • dq- axis currents are of dc signals over time in steady state Textbook: Bin Wu, ‘High-Power Converters and AC Drives’, Wiley-IEEE Press, 2006, ISBN: 0-471-73171-4 Topic 2 Induction Motor Dynamic Models Reference Frame Theory EE8412 4 7 • 3/2 Stationary Transformation = e ω = θ Assumption: and ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎣ ⎡ ⋅ ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ − − − = ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ c b a q d x x x x x 2 / 3 2 / 3 2 / 1 2 / 1 1 3 2 • 2/3 Stationary Transformation ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ ⋅ ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎣ ⎡ − − − = ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎣ ⎡ q d c b a x x x x x 2 / 3 2 / 1 2 / 3 2 / 1 1 Note: Frames do not rotate in space.Frames do not rotate in space....
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## This note was uploaded on 12/02/2009 for the course EE EE8412 taught by Professor Wubin during the Spring '09 term at Ryerson.

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8412_slides_topic2 - 1 1 EE8412 Advanced AC Drive Systems...

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