By Yuly M. Pulyer
This ebook provides an analytic instrument for interpreting the layout of small electromagnetic units equivalent to machines, encoders, magnetic strip traces, and different units. The geometry and magnetic circuit analyses for those units relies on a differential equation, known as the magnetic transmission line equation, derived from Ampere's legislation; it truly is just like the electrical transmission line equation. The research contains either uniform and nonuniform geometries, together with nonuniformities due to production mistakes, and results in a brand new type of designs for miniature machines and different units. The magnetic circuit research consists of either bad features (such as middle loss and nonlinear distortion in detailed, high-resolution encoders), and in addition fascinating elements that may be utilized in the shape of AC motor-amplifier integrity, hysteresis cars, magnetic encoders, and so on. The greater than a hundred twenty five figures serve to imagine the magnetic coupling geometry, the physics of the conceptual layout, and the analytical instruments.
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Extra resources for Electromagnetic Devices for Motion Control and Signal Processing
Example text
3. Principal devices as GEM design derivatives the mutually positive sign of the derivative in a zero balance point for both channels. It can also be seen in Fig. 12c that a derivative for both channels is positive at the zero crossing point (~a = 0) while at balancing point ~a = 180 both channel derivatives are negative. Arrows (shown around the stable zero and unstable zero points in Fig. 12c) illustrate the driving directions toward a stable zero position at any unbalance around ~a = 0 or ~a = 180.
Considering a magnetic system as linear it can be stated that all secondary (reactive) currents would also be sinusoidal with a possible difference in amplitude and phase. A complex form of sinusoidal currents and voltages can be of sufficient use for compact analysis in addition to spatial vector representation. Thus each coil magnetic dipole becomes a kind of two-dimensional (2D) complex form in terms of time (by the factor j) and space (by the factor J). 22) where Fl = I1N1ejV'1 and F2 = I 2 N 2 e jV'2.
90) r £ where v = is a relative rotation speed (in a laboratory frame of reference). 90 are fundamental to the analysis and synthesis of AC and even several kinds of DC electro-machine systems (which can be considered to be effectively W = 0). The equations illustrate in a complex form a well-known event of generation of two spatial reactive components: transformer and rotation components in coils moving in a pulsing or rotation (traveling) magnetic field. These equations provide a basic analytical background for obtaining torque generation functions in servomotors, as well as for ac tachometric and DC accelerometric capability.
