Inductance calculation of infinite networks using Green's function : perfect and perturbed triangular lattices
Other Title(s)
حساب المحاثة الكهربائية لشبكه لا نهائية مثاليه و مشوبة باستخدام دوال غرين
Dissertant
Thesis advisor
Hijjawi, Raid Shakir Abd al-Karim
Comitee Members
al-Uqayli, Amir Dakhil
Abd al-Rahim, Iyad Hasan
al-Sharif, Abd al-Latif Mahmud
University
Mutah University
Faculty
Faculty of Science
Department
Department of physics
University Country
Jordan
Degree
Master
Degree Date
2015
English Abstract
A connection is made between the inductance and the lattice Green's function of the perturbed network.
The lattice Green's function and the inductance of the perturbed lattice are expressed in terms of unperturbed (perfect) lattice by solving Dyson's equation.
The inductance between two adjacent nodes is calculated by corresponding equation and some recurrence formulae.
For an infinite triangular lattice, we used an expression for the inductance in terms of lattice Green's function at the origin, known as rational numbers, and some recurrence formulae.
The rough out this work we found that the effective inductance between any two nodes in finite lattice (perfect and perturbed) is larger than that between them in the corresponding infinite lattice.
Also, we found that the effective inductance of the perturbed lattice in the case of the substitutional inductance is larger (smaller) than that of the perfect lattice if the substitutional inductance is larger (smaller) than L, while the effective inductance for the perturbed lattice with interstitial inductance is always smaller than that of the perfect lattice.
Finally, the simulated values of the effective inductance are measured the circuit maker found in good agreement with those calculated, but when approaching the edges or the surface of the lattice, the measured values found to exceed those calculated.
Main Subjects
No. of Pages
50
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Chapter One : Introduction.
Chapter Two : Derivation of the lattice Green's function and the inductance of the perfect lattice.
Chapter Three : Derivation of the lattice Green's function and the inductance of the perturbed lattice.
Chapter Four : Calculation.
References.
American Psychological Association (APA)
al-Suhymat, Lama Awdah Hasan. (2015). Inductance calculation of infinite networks using Green's function : perfect and perturbed triangular lattices. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-786508
Modern Language Association (MLA)
al-Suhymat, Lama Awdah Hasan. Inductance calculation of infinite networks using Green's function : perfect and perturbed triangular lattices. (Master's theses Theses and Dissertations Master). Mutah University. (2015).
https://search.emarefa.net/detail/BIM-786508
American Medical Association (AMA)
al-Suhymat, Lama Awdah Hasan. (2015). Inductance calculation of infinite networks using Green's function : perfect and perturbed triangular lattices. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-786508
Language
English
Data Type
Arab Theses
Record ID
BIM-786508
