Worked on generator background.

10 files changed, 23 insertions, 782 deletions

diff --git a/background.tex b/background.tex
index 0bfe584..f8f6494 100644
--- a/background.tex
+++ b/background.tex
@@ -39,12 +39,27 @@ Turboshaft style engines are most often used in helicopters, and are characteriz
 	\includegraphics[width=\textwidth]{img/tp100cutaway.png}
 	\caption{\label{tp100cutaway}PBS TP100 Cutaway}
 \end{figure}
-\section{Generator Theory}
+\section{Electric Motor Theory}
+A basic overview of electric motors, often refered to as ``generators'' in the context of hybrid aircraft by viture of their function of generating electric power, is required just as with the preceeding section over turbine engines. As much information will be provided in this section as is necessarry to understand the function of electric motors and their operation within hybrid electric aircraft. As can be seen in figure \ref{img/turboarch}, electric motors are used generate electric power through a mechanical coupling to an engine. Additionally, electric motors are employed to convert distributed electrical energy into the torque necessarry to drive propulsors.
+\par
+The generator induces a load onto the turbine engine in order to produce electrical energy. The back-EMF, or the voltage of generator output in this context, can be determined through the multiplication of angular velocity and the rate of change of flux-linkage with rotor position.
+\begin{equation}\label{emfwave}
+	 e=\omega_m \frac{\partial\Psi }{\partial \O}
+\end{equation}
+This flux-linkage $\Psi$ is the product of the number of turns and the flux passing through the coil. \cite{designpmm} The most important expressions in the generator-turbine relationship are simple variations of equation \ref{emfwave}:
+\begin{equation}\label{emfconstant}
+	E=\kappa_E \omega_m
+\end{equation}
+where $E$ is the back-EMF from two conducting motor phases, and $\kappa_E$ is the EMF constant.
+\begin{equation}\label{torqueemf}
+	T=\kappa_EI
+\end{equation}
+Equations \ref{emfconstant} and \ref{torqueemf} showcase how a relationship between torque and voltage is obtained through the EMF constant. The implications of this relationship to the function of the turboelectric system as a whole will be elucidated in section \ref{turbotheory}.
 \section{Battery Theory}
 \begin{equation}\label{battC}
 	I_{Battery}=\frac{V_{Battery}-V_{Supply}}{R_{Battery}}
 \end{equation}
-\section{Turboelectric Theory}
+\section{Turboelectric Theory}\label{turbotheory}
 NASA defines turboelectric systems as being at the least a turboshaft coupled to an electric generator, which power electric motors which then drive propellers. This configuration can be further categorized in accordance with whether the turbine engine drives a load directly.
 These systems, refered to as "Partial Turbo Electric" \cite{nasa_prop_overview}, employ the use of either turbofans or turboprops in addition to being coupled to electric generators.
 \begin{figure}[h]
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diff --git a/dissertation_main.bbl b/dissertation_main.bbl
deleted file mode 100644
index b75f02d..0000000
--- a/dissertation_main.bbl
+++ /dev/null
@@ -1,61 +0,0 @@
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-\begin{thebibliography}{10}
-\interlinepenalty=10000
-
-\bibitem{tp100technical}
-PBS Aerospace, \emph{Basic technical information turboprop engine tp100}, April
-  2015.
-
-\bibitem{doi:10.2514/6.2018-4984}
-Cheryl~L. Bowman, Ty~V. Marien, and James~L. Felder, \emph{Turbo- and
-  hybrid-electrified aircraft propulsion for commercial transport}, 2018.
-
-\bibitem{TurboelectricAS}
-Johnathan Burgess, Timothy Runnels, Joshua Johnsen, Joshua Drake, and Kurt
-  Rouser, \emph{Experimental comparison of direct and active throttle control
-  of a 7 kw turboelectric power system for unmanned aircraft}, Applied Sciences
-  \textbf{11} (2021), no.~22.
-
-\bibitem{faa_engines}
-FAA, \emph{Aircraft engines}, Federal Aviation Administration, 2024.
-
-\bibitem{nasa_prop_overview}
-Ralph Jansen, \emph{Overview of nasa electrified aircraft propulsion
-  activities}, NASA Glenn Research Center, 2017.
-
-\bibitem{CessnaASME}
-Joshua Johnsen, Joshua Melvin, Joshua Drake, Muwanika Jdiobe, and Kurt Rouser,
-  \emph{Experimental evaluation of an electric powertrain designed for a 180-kw
-  turboelectric aircraft ground test rig}, Journal of Engineering for Gas
-  Turbines and Power \textbf{146} (2024).
-
-\bibitem{EoPGTR2}
-Jack Mattingly and Hans von Obain, \emph{Elements of propulsion: Gas turbines
-  and rockets 2nd edition}, AIAA, 2016.
-
-\bibitem{MelvinThesis}
-Joshua Melvin, \emph{Integration and evaluation of a 180-kw turboprop engine
-  with a turboelectric ground test rig}, Master's thesis, OKLAHOMA STATE
-  UNIVERSITY, May 2021.
-
-\bibitem{melvincessna}
-Joshua Melvin and Kurt Rouser, \emph{Development of a turboelectric ground
-  test-rig by installation of a 180-kw turboprop onto a cessna-172}, no.
-  2024-0137, AIAA, 2024.
-
-\bibitem{nasa_turbojet}
-NASA, \emph{Turbojet engine}, NASA Glenn Research Center, 2017.
-
-\bibitem{hybrid_trends}
-Manuel Rendón, Carlos Sánchez, Josselyn Gallo~Muñoz, and Alexandre Anzai,
-  \emph{Aircraft hybrid-electric propulsion: Development trends, challenges and
-  opportunities (https://rdcu.be/cmg4u)}, Sba Controle \& Automação Sociedade
-  Brasileira de Automatica (2021).
-
-\end{thebibliography}
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diff --git a/dissertation_main.lot b/dissertation_main.lot
deleted file mode 100644
index 3719618..0000000
--- a/dissertation_main.lot
+++ /dev/null
@@ -1,8 +0,0 @@
-\addvspace {10\p@ }
-\addvspace {10\p@ }
-\addvspace {10\p@ }
-\contentsline {table}{\numberline {1}{\ignorespaces Configuration One Power System Components}}{9}{}%
-\contentsline {table}{\numberline {2}{\ignorespaces Configuration One Data Acquisition Components}}{10}{}%
-\contentsline {table}{\numberline {3}{\ignorespaces Configuration One Test Matrix}}{11}{}%
-\addvspace {10\p@ }
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diff --git a/dissertation_main.pdf b/dissertation_main.pdf
index cfb2668..cf234bf 100644
--- a/dissertation_main.pdf
+++ b/dissertation_main.pdf
diff --git a/dissertation_main.toc b/dissertation_main.toc
deleted file mode 100644
index 8e79d08..0000000
--- a/dissertation_main.toc
+++ /dev/null
@@ -1,26 +0,0 @@
-\renewcommand {\cftchapleader } {\cftdotfill {4.5}}
-\contentsline {chapter}{\numberline {I}INTRODUCTION}{1}{}%
-\contentsline {chapter}{\numberline {II}BACKGROUND}{3}{}%
-\contentsline {section}{\numberline {2.1}Turbine Engines}{3}{}%
-\contentsline {section}{\numberline {2.2}Generator Theory}{7}{}%
-\contentsline {section}{\numberline {2.3}Battery Theory}{7}{}%
-\contentsline {section}{\numberline {2.4}Turboelectric Theory}{7}{}%
-\contentsline {section}{\numberline {2.5}Previous Work}{8}{}%
-\contentsline {chapter}{\numberline {III}METHODOLOGY}{9}{}%
-\contentsline {section}{\numberline {3.1}General Aircraft System}{9}{}%
-\contentsline {section}{\numberline {3.2}Configuration One}{9}{}%
-\contentsline {subsection}{\numberline {3.2.1}Data Acquisition}{10}{}%
-\contentsline {subsection}{\numberline {3.2.2}Experimental Procedure}{11}{}%
-\contentsline {section}{\numberline {3.3}Configuration Two}{13}{}%
-\contentsline {subsection}{\numberline {3.3.1}Data Acquisition}{13}{}%
-\contentsline {subsection}{\numberline {3.3.2}Experimental Procedure}{13}{}%
-\contentsline {chapter}{\numberline {IV}RESULTS}{14}{}%
-\contentsline {section}{\numberline {4.1}Configuration One}{14}{}%
-\contentsline {subsection}{\numberline {4.1.1}Turboprop Engine Data}{14}{}%
-\contentsline {subsection}{\numberline {4.1.2}Electrical System Performance}{15}{}%
-\contentsline {subsection}{\numberline {4.1.3}Electronic Speed Controller Failure}{17}{}%
-\contentsline {section}{\numberline {4.2}Configuration Two}{19}{}%
-\contentsline {chapter}{\numberline {V}CONCLUSION, RECOMMENDATIONS, AND FUTURE WORK}{20}{}%
-\contentsline {section}{\numberline {5.1}Configuration One}{20}{}%
-\contentsline {chapter}{REFERENCES}{22}{}%
-\contentsline {chapter}{APPENDICES}{24}{}%
diff --git a/references.bib b/references.bib
index fd4814f..d331cb9 100644
--- a/references.bib
+++ b/references.bib
@@ -101,3 +101,9 @@ doi = {10.1007/s40313-021-00740-x}
 	title = {Development of a Turboelectric Ground Test-Rig by Installation of a 180-KW Turboprop Onto a Cessna-172},
 	number= {2024-0137},
 }
+@book{designpmm,
+	title = {DESIGN OF BRUSHLESS PERMANENT-MAGNET MOTORS},
+	year = {1994},
+	author = {Miller, TJE and Hendershot, J.R},
+	publisher = {Magna Physics and Clarendon Press, Oxford},
+}