Non coaxial mutual inductance calculations, based on a Bessel function formulation, are presented for coils modelled by an explicitly finite number of circular turns. The mutual inductance of two such turns can be expressed as an integral of a product of three Bessel functions and an exponential factor, and it is shown that the exponential factors can be analytically summed as a simple geometri...

This paper deals with an efficient and fast approach for determining the mutual inductance between thin current loops (filamentary coils, thin cylindrical coils, thin disk coils and all possible combinations). This approach is based on the filament method where conductors are approximated by a set of Maxwell’s coils. The resulting equations are expressed in term of the complete elliptical integ...

In this paper, we propose a new exact closed form mutual inductance equation for on-chip interconnects. We express the mutual inductance between two parallel rectangular conductors as a weighted sum of self-inductances. We do not place any restrictions on the alignment of the two parallel rectangular conductors. Moreover, they could be co-planar or reside on different layers. Most important, ex...

An analytical procedure for the calculation of the inductance of planar zig-zag spiral inductors is proposed. The procedure is based on the partial inductance concept and models the inductor as a series of a number of parts. The self-inductance of each individual part, which has the shape of a parallelogram, and the mutual inductance between any two parts of the inductor are determined. The ind...

Deep displacement observation is one basic means of landslide dynamic study and early warning monitoring and a key part of engineering geological investigation. In our previous work, we proposed a novel electromagnetic induction-based deep displacement sensor (I-type) to predict deep horizontal displacement and a theoretical model called equation-based equivalent loop approach (EELA) to describ...

LIST OF SYMBOLS L s stator inductance(Primary inductance) L r rotor inductance (Secondary inductance) M mutual inductance Rs stator resistance Rr rotor resistance Rc cable resistance P pole number Vds,Vqs d-axis and q-axis components of the stator voltage vector Vs Vdr,Vqr d-axis and q-axis components of the rotor voltage vector Vr ids, iqs d-axis and q-axis components of the stator current vec...

While larger transistors are used to deliver more power in RF transmitter power amplifiers, it has been observed that the performance per unit gate width decreases with increasing width. In this work, a major cause of this performance degradation in RF LDMOSFET power amplifiers is identified as the mutual inductance in the system, and a field solver and circuit simulator are used to quantify th...

Voltage sags and voltage interruptions are huge power quality problems for many industries. Voltage sags cause apart from eventual tripping, large torque peaks, which may cause damage to the shaft or equipment connected to the shaft. This paper illustrates how the stator flux in a synchronous machine changes during voltage sags. These changes result in torque peaks. An analytical time dependent...