High-speed transportation via magnetically supported vehicles. A study of the magnetic forces

Drag Force of an Eddy Current Damper

“…[8]. Recently, interest has grown in the analysis of third-order loop performance in acquisition [4] and in acceleration-rate (jerk) tracking [5]. In many cases, the loop filters analyzed have been modeled after realizable hardware filters available at the time.…”

“…Thus it is of interest to determine the optimal ideal-integrator gains for a third-order loop filter that will maximize noiseless jerk tracking performance. Goldman [5] has presented curves that allow the quick determination of the approximate loop noise bandwidth required for a given jerk magnitude for a certain thirdorder loop filter. Here, we present a third-order loop filter design that minimizes the noiseless linearized loop steady- …”

“…3) The relative speed v is low, more precisely, lv I is small compared with the image' speed [6], [5] vz defined as v = 2/(aui).…”

“…The exact calculation of the drag force exerted by such dampers in realistic configurations is a difficult problem, generally requiring extensive numerical efforts. An idea of the complexity of these computations can be had by a look at some of the literature on magnetic levitation in high speed transportation [4], [5].…”

Linear Induction Motors in Transportation Systems

“…Mathematical and experimental research of coils or filaments moving above a conducting plate (limited to DC excitation) were performed in the majority of the Maglev application studies [36][37][38][39][40]. The system of a stationary filament or coil with AC excitation above a conducting plate has also been studied [41].…”