Numerically modeling inductive circuit elements
First Claim
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1. A method of modeling a circuit element, the method comprising:
- dividing the circuit element into two or more segments;
further dividing each segment into a plurality of filaments;
defining a horizontal plane of symmetry about said circuit element such that a first group of filaments are positioned above said plane of symmetry and a second group of filaments are positioned below said first plane of symmetry;
providing a plurality of filament pairs, wherein each of said plurality of filament pairs comprises one filament in said first group of filaments and one filament in said second group of filaments wherein the one filament in said first group is generally symmetrical to the one filament in the second group; and
using at least one matrix implementing element characteristics representative of the filaments to model the circuit element, wherein the at least one matrix uses the defined horizontal plane of symmetry and filament pairs in generating the model of the circuit element.
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Abstract
A method of determining electrical parameters of inductive elements includes a novel technique of inverting an impedance matrix representative of said inductive circuit element. The method reduces model simulation time by a factor of 3000. In one embodiment, simulation time of a device model was reduced from 1 hour to less than 3 seconds. The method is suitable for use with circuit element modeling tools, circuit simulation environments, and antenna modeling systems. The method may be applied to inductors, transformers, antennas, etc.
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Citations
20 Claims
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1. A method of modeling a circuit element, the method comprising:
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dividing the circuit element into two or more segments; further dividing each segment into a plurality of filaments; defining a horizontal plane of symmetry about said circuit element such that a first group of filaments are positioned above said plane of symmetry and a second group of filaments are positioned below said first plane of symmetry; providing a plurality of filament pairs, wherein each of said plurality of filament pairs comprises one filament in said first group of filaments and one filament in said second group of filaments wherein the one filament in said first group is generally symmetrical to the one filament in the second group; and using at least one matrix implementing element characteristics representative of the filaments to model the circuit element, wherein the at least one matrix uses the defined horizontal plane of symmetry and filament pairs in generating the model of the circuit element. - View Dependent Claims (2, 3, 4, 5, 6, 7)
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8. A method of designing an integrated circuit, the method comprising:
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modeling of at least one circuit element, wherein the modeling of the at least one circuit element further comprises, dividing the circuit element into two or more segments, further dividing each segment into a plurality of filaments, defining a horizontal plane of symmetry about said circuit element such that a first group of filaments are positioned above said plane of symmetry and a second group of element s are positioned below said first plane of symmetry; providing a plurality of filament pairs, wherein each of said plurality of filament pairs comprises one filament in said first group of filaments and one filament in said second group of filaments wherein the one filament in said first group is generally symmetrical to the one filament in the second group; and using at least one matrix implementing element characteristics representative of the filaments to model the circuit element, wherein the at least one matrix uses the defined horizontal plane of symmetry and filament pairs in generating the model of the circuit element. - View Dependent Claims (9, 10, 11, 12, 13, 14)
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15. A method of designing a circuit element, the method comprising
producing a circuit design; -
wherein the circuit design was based on a simulation of the circuit element; further wherein the simulating simulation of the circuit element was created by, discretizing the circuit element into at least two segments; dividing each of said at least one segments into a plurality of filaments; applying an impedance matrix representative of said plurality of filaments, wherein said impedance matrix comprises, a first submatrix a11=R, a second submatrix a12=−
ω
L,a third submatrix a21=ω
L,a fourth submatrix a22=R, and wherein R is a diagonal filament resistance matrix, L is a filament inductance matrix and ω
is radian frequency;evaluating an equation M1=[ω
2L(1/R)L+R]−
1;evaluating a second matrix equation M2, wherein said matrix equation M2 comprises M1, L, 1/R, and ω
. - View Dependent Claims (16, 17, 18, 19, 20)
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Specification