We present the results of comparison of different design centering methods, e.g. simplicial approximation method and centers-of-gravity method.The effectiveness of the proposed yield optimization strategies is demonstrated by application to various RSFQ circuits and analytical test functions. A SPICEtype program which includes the possibilities of analog behavior modeling and transient noise simulation was used €or circuit simulation. Based on these methods, an interactive yield optimization framework for cryoelectronic circuits was developed and tested.
Purpose
The purpose of this paper is to present the advantageous applicability of the bicomplex analysis in the context of the Finite Element Method (FEM). This method can be applied for wave propagation problems in various environments.
Design/methodology/approach
In this paper, the bicomplex number system is introduced and accordingly the differential equation for time-harmonic Maxwell’s equations in homogeneous media is derived in detail. Besides that, numerical simulations of wave propagation are performed and compared to the traditional approach based on classical FEM related to the Helmholtz equation. The appropriate error norm is investigated for different discretizations.
Findings
The results show that the use of bicomplex analysis in FEM leads to the higher accuracy of the electromagnetic field determination compared to the traditional Helmholtz approach. By using the bicomplex-valued formulation, the complex-valued electric and magnetic fields can be found directly and no additional FEM calculations are necessary to get the whole field.
Originality/value
The direct bicomplex formulation overcomes the use of the second order derivatives, which leads to the higher accuracy. In general, accurate calculations of the wave propagation in FEM is still an open problem and the approach described in this paper is a contribution to this class of problems.
In this paper, method of current images is used to calculate magnetic field
of a rectangular loop in presence of high-permeability material. We provide
closed form description for the images of the current loop placed between two
semi-infinite blocks of high-permeability material, in the cases when the
plane of the loop is parallel or perpendicular to the surfaces of blocks. A
case study of using the method of images to calculate magnetic field of
rectangular loop inside cube made of high-permeability material is also
provided. [Projekat Ministarstva nauke Republike Srbije, br. TP32016]
Purpose
This paper aims to provide a flexible model for a system of inductively coupled loops in a quasi-static magnetic field. The outlined model is used for theoretical analyses on the magnetic field-based football goal detection system called as GoalRef, where a primary loop generates a magnetic field around the goal. The passive loops are integrated in the football, and a goal is deduced from induced voltages in loop antennas mounted on the goal frame.
Design/methodology/approach
Based on the law of Biot–Savart, the magnetic vector potential of a primary current loop is calculated. The induced voltages in secondary loops are derived by Faraday’s Law. Expressions to calculate induced voltages in elliptically shaped loops and their magnetic field are also presented.
Findings
The induced voltages in secondary loops close to the primary loop are derived by either numerically integrating the primary magnetic flux density over the area of the secondary loop or by integrating the primary magnetic vector potential over the boundary of that loop. Both approaches are examined and compared with respect to accuracy and calculation time. It is shown that using the magnetic vector potential instead of the magnetic flux density can decrease the processing time by a factor of around 100.
Research limitations/implications
Environmental influences like conductive or permeable obstacles are not considered in the model.
Practical implications
The model can be used to investigate the theoretical behavior of inductively coupled systems.
Originality/value
The proposed model provides a flexible, fast and accurate tool for calculations of inductively coupled systems, where the loops can have arbitrary shape, position and orientation.
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