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(Monographs in Electrical and Electronic Engineering series)
The detailed table of contents, as provided by the UGA Libraries, is as follows:
By unifying AC and DC machine theory through the lens of space vector mathematics, this approach serves as the foundational pillar for modern vector control, direct torque control, and advanced digital drive architectures. 1. The Paradigm Shift: Why Space Vector Theory?
) generated by any AC machine can be calculated via the vector cross-product of flux and current: ) generated by any AC machine can be
That’s when you realize the old "per-phase equivalent circuit" method, while useful for power flow, feels like trying to navigate a Formula 1 race using a paper map.
Vector Control Techniques
, we define a new orthogonal coordinate system designated as the direct ( ) and quadrature ( ) axes. If θgtheta sub g is the instantaneous angular position of the -axis relative to the Park Transformation ( Today, the language of space
): Converts three-phase stationary components to a two-phase orthogonal stationary frame. Park Transformation (
Today, the language of space vectors is the lingua franca of drive engineering. When an engineer speaks of the "d-axis current" of a PMSM or the "voltage vector" output by an inverter, they are unknowingly paying homage to the unified theoretical framework that this monograph perfected.
: Provides a general theory applicable to both steady-state and transient operation for a wide variety of AC and DC machines and variable-speed drives. [ Three-Phase AC Variables: a
[ Three-Phase AC Variables: a, b, c ] │ ▼ (Clarke Transformation) [ Stationary Orthogonal Frame: α, β ] │ ▼ (Park Transformation) [ Rotating Reference Frame: d, q (DC-like) ] Induction Motor Dynamics
Classical AC machine analysis relies on representing a three-phase machine by a single-phase equivalent circuit. While adequate for steady-state calculations (e.g., torque, efficiency, power factor), this model collapses under dynamic conditions. It cannot explain: