By Ned Mohan
Complicated electrical Drives makes use of a physics-based method of clarify the basic innovations of contemporary electrical force keep an eye on and its operation lower than dynamic conditions.
• Gives readers a “physical” photograph of electrical machines and drives with no resorting to mathematical ameliorations for simple visualization
• Confirms the physics-based research of electrical drives mathematically
• Provides readers with an research of electrical machines in a manner that may be simply interfaced to universal strength digital converters and regulated utilizing any keep watch over scheme
• Makes the MATLAB/Simulink documents utilized in examples on hand to somebody in an accompanying website
• Reinforces basics with various dialogue questions, inspiration quizzes, and homework difficulties
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Extra info for Advanced Electric Drives: Analysis, Control, and Modeling Using MATLAB / Simulink
Similarly in the rotor circuit, we can write λrA (t ) = Lm is A (t ) + Lr ir A (t ), (2-29) where the stator current space vector is also defined with respect to the rotor phase-A axis. 2-8 STATOR AND ROTOR VOLTAGE EQUATIONS IN TERMS OF SPACE VECTORS The individual phase equations can be combined to obtain the space vector equation as follows: d va (t ) = Rs ia (t ) + λa (t ) × e j 0 dt (2-30a) d vb (t ) = Rs ib (t ) + λb (t ) × e j 2 π 3 dt (2-30b) d vc (t ) = Rs ic (t ) + λc (t ) × e j 4 π 3.
Advanced Electric Drives: Analysis, Control, and Modeling Using MATLAB/Simulink®, First Edition. Ned Mohan. © 2014 John Wiley & Sons, Inc. Published 2014 by John Wiley & Sons, Inc. 28 dq WINDING REPRESENTATION 29 b-axis at t ib is a-axis ia ic c-axis b-axis q-axis (a) b-axis at t 3 isq 2 is q-axis at t Ns is d-axis isd θda a-axis a-axis projection isq = projection × 2 3 c-axis d-axis θda c-axis (b) projection isd = projection × 2 3 (c) Fig. 3-1 Representation of stator mmf by equivalent dq windings.
2-6 Space vector representation of mmf. 16 INDUCTION MACHINE EQUATIONS IN PHASE QUANTITIES where the superscript “a” indicates that the space vectors are expressed as complex numbers, with the stator a-axis chosen as the reference axis with an angle of 0°. Assuming that there is no magnetic saturation, the resultant mmf distribution in the air gap due to all three phases at that instant can simply be represented, using vector addition, by the resultant space vector shown in Fig. 2-6b, where the subscript “s” represents the combined stator quantities: Fsa (t ) = Faa (t ) + Fba (t ) + Fca (t ).
Advanced Electric Drives: Analysis, Control, and Modeling Using MATLAB / Simulink by Ned Mohan
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