A three dimensional magnetic field analysis by a novel finite element method using magnetic flux density directly as an unknown variable

1988 ◽  
Vol 3 (1) ◽  
pp. 249-254 ◽  
Author(s):  
Z.H. Shaikh ◽  
H. Yamashita ◽  
E. Nakamae
Author(s):  
Masaaki Matsumoto ◽  
Takahiko Tanahashi

It is well known that the vector finite element method is one of the powerful tools for solving electromagnetic problems. The vector shape functions that are consist of the facet and the edge vector shape functions have a lot of characteristics. One of them is automatic conservation of the magnetic flux density in analyzing the Induction equations without iterative correction. In the present paper the vector finite element method is applied to the problems of magnetohydrodynamics. Three-dimensional natural convection in a cavity under a constant magnetic field is analyzed numerically using the GSMAC finite element method for flow field and temperature field and the vector finite element method for the Induction equations. The computational results are good agreement with those obtained using B method that is one of the iterative methods to satisfy the solenoidal condition for the magnetic flux density of the Induction equations.


2021 ◽  
Vol 11 (21) ◽  
pp. 10334
Author(s):  
Wen-Ching Chang ◽  
Cheng-Chien Kuo

Power transformers play an indispensable component in AC transmission systems. If the operating condition of a power transformer can be accurately predicted before the equipment is operated, it will help transformer manufacturers to design optimized power transformers. In the optimal design of the power transformer, the design value of the magnetic flux density in the core is important, and it affects the efficiency, cost, and life cycle. Therefore, this paper uses the software of ANSYS Maxwell to solve the instantaneous magnetic flux density distribution, core loss distribution, and total iron loss of the iron core based on the finite element method in the time domain. . In addition, a new external excitation equation is proposed. The new external excitation equation can improve the accuracy of the simulation results and reduce the simulation time. Finally, the three-phase five-limb transformer is developed, and actually measures the local magnetic flux density and total core loss to verify the feasibility of the proposed finite element method of model and simulation parameters.


2013 ◽  
Vol 49 (5) ◽  
pp. 2413-2416 ◽  
Author(s):  
Yasuhito Takahashi ◽  
Tadashi Tokumasu ◽  
Masafumi Fujita ◽  
Takeshi Iwashita ◽  
Hiroshi Nakashima ◽  
...  

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