Finite element analysis of magnetic circuits composed of axisymmetric and rectangular regions

Abstract

A new approximate method is developed for calculating three-dimensional magnetic fields in magnetic circuits composed of connected axisymmetric and rectangular regions. Using this new method, fairly accurate solutions can be obtained when the leakage flux from the magnetic circuit is small.In this paper, the new method is explained and then the usefulness of the technique is clarified by comparing calculated and measured flux densities.

Transient analysis on current sensor of resin molded type for measurement of power factor in power distribution system

“…As a result, in this research the magnetic field analysis is performed using a hybrid finite element method [6,7], an analytical method for when an axisymmetric cylindrical coordinate region and a two-dimensional x-y region are combined. As a result, in this research the magnetic field analysis is performed using a hybrid finite element method [6,7], an analytical method for when an axisymmetric cylindrical coordinate region and a two-dimensional x-y region are combined.…”

“…Moreover, in prior analyses [6][7][8], the element −∂φ / ∂z for the eddy current at the electrode plate is not present, and so here the derivation for a restructured equation is given.…”

Analysis of attractive force characteristics of single‐phase ac electromagnet

“…A hybrid-type finite element method [9) is use d c ombinin g Eqs. (7) a nd (8) if the giv en e l ec tromagnet is pa rtly of recta ngular form a nd pa rtl y of cylindrical form.…”

“…(3). Mor e precise l y , acc elerat i on a t exerted on the mova ble pa rt a t time t i.s given by (9) wh e re pt is th e a ttractive forc e at time t , F i s the forc e exerted on th e movable pa rt x i n the direc tion verti ca l to the frict i ona l surface, M is the total ma ss o( the mova ble pa rt, a nd g i s the a ccel e r a tion of gr avit y . Sma ll di s pl ac ement 6y durin g short time 6t is given by (10) i "1 f\ f\ (j f\ f\ il " , It is possible to determine whether or not the movable part of the electromagnet drops by solving the foregoin g equa tions step by step.…”

“…The yoke of the plunger-type lectromagnet in Fig. 5 is of rectangular form a nd therefore this portion is represented by a two-dimensiona l mod e l to apply th hybridtype fi nite e lement method [9].…”