By Ned Mohan
Complicated electrical Drives makes use of a physics-based method of clarify the basic techniques of contemporary electrical force regulate and its operation below dynamic conditions.
• Gives readers a “physical” photograph of electrical machines and drives with out resorting to mathematical changes 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 energy digital converters and regulated utilizing any keep watch over scheme
• Makes the MATLAB/Simulink documents utilized in examples to be had to someone in an accompanying website
• Reinforces basics with quite a few dialogue questions, notion quizzes, and homework difficulties
Read or Download Advanced Electric Drives: Analysis, Control, and Modeling Using MATLAB / Simulink PDF
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Additional resources for Advanced Electric Drives: Analysis, Control, and Modeling Using MATLAB / Simulink
The analysis in this chapter establishes the framework and the rationale for the dq windings-based analysis of induction machines under dynamic conditions carried out in the next chapter. REFERENCE 1. N. Mohan, Electric Machines and Drives: A First Course, Wiley, Hoboken, NJ, 2011. com/college/mohan. 26 INDUCTION MACHINE EQUATIONS IN PHASE QUANTITIES PROBLEMS 2-1 Derive Eq. (2-7) for Lm,1-phase. 2-2 Derive the expression for Lmutual in Eq. (2-8) by energy storage considerations. Hint: Assume that only the stator phases a and b are excited so that ib = −ia.
Note that the relative positions of the stator and the rotor current space vectors are not actual, rather only for definition purposes. windings equals Lm. Out of four dq windings, the mutual inductance between any d-axis winding with any q-axis winding is zero because of their orthogonal orientation, which results in zero mutual magnetic coupling of flux. 3-3 MATHEMATICAL RELATIONSHIPS OF THE dq WINDINGS (AT AN ARBITRARY SPEED ωd) Next, we will describe relationships between the stator and the rotor quantities and their equivalent dq winding components in Fig.
Similarly, Lmutual between the two rotor phases would be the same as that between two stator phases. The above equalities also imply that the per-phase magnetizing-inductance Lm in the rotor circuit (under the condition that at any time, iA + iB + iC = 0) is the same as that in the stator 3 Lm = Lm, 1-phase 2 (2-17) Lr = L r + Lm. (2-18) and 14 INDUCTION MACHINE EQUATIONS IN PHASE QUANTITIES b-axis B-axis ωm ib A-axis θm iB a-axis iA ia iC ic c-axis C-axis (a) iB ib + + vb − − − Vc VB = 0 Rs Va ia Rr + − − + iA − VA = 0 VC = 0 + + ic Stator circuit iC Rotor circuit (b) Fig.
Advanced Electric Drives: Analysis, Control, and Modeling Using MATLAB / Simulink by Ned Mohan