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M  Presentations/ERLM/main.aux

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Dane Sabo 2025-12-07 13:03:07 -05:00
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INPUT ./images/3_limitations/foreman.png INPUT ./images/3_limitations/foreman.png
@ -774,7 +711,7 @@ INPUT ./images/3_limitations/test.png
INPUT ./images/3_limitations/test.png INPUT ./images/3_limitations/test.png
INPUT ./images/back.jpg INPUT ./images/back.jpg
INPUT ./images/logo.png INPUT ./images/logo.png
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INPUT ./images/logo.png INPUT ./images/logo.png
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@ -821,6 +758,11 @@ INPUT /usr/share/texmf/fonts/tfm/public/lm/ec-lmsso8.tfm
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INPUT ./images/logo.png INPUT ./images/logo.png
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INPUT ./images/5_metrics_of_success/puzzle.png INPUT ./images/5_metrics_of_success/puzzle.png
@ -865,7 +807,7 @@ INPUT ./images/5_metrics_of_success/emerson_logo_only.png
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INPUT ./images/logo.png INPUT ./images/logo.png
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INPUT ./images/money.png INPUT ./images/money.png

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\titlepage \titlepage
\end{frame} \end{frame}
\input{slides/1_Hook} \input{slides/1_Hook_v2}
\input{slides/2_State_of_the_Art} \input{slides/2_State_of_the_Art_v2}
\input{slides/3_Limitations} \input{slides/3_Limitations_v2}
\input{slides/4_Research_Approach} \input{slides/4_Research_Approach_v2}
\input{slides/5_Metrics_of_Success} \input{slides/5_Metrics_of_Success_v2}
\input{slides/6_Risks_and_Contingencies} \input{slides/6_Risks_and_Contingencies_v2}
\input{slides/7_Broader_Impacts} \input{slides/7_Broader_Impacts_v2}
\input{slides/8_Money_Slide} \input{slides/8_Money_Slide_v2}
\end{document} \end{document}

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\begin{frame}{The United States stands on the precipice of a severe
energy crisis}
\begin{columns}
\begin{column}{0.5\textwidth}
\centering{
\begin{figure}
\begin{center}
\includegraphics[height=0.50\textheight]{images/1_hook/energy-demand-graph-small.png}
\end{center}
\caption*{Source: Pew Research Center, Data from IEA}
\end{figure}
% \scriptsize{
% \begin{tabular}{lcc}
% \textbf{Source} (30yr LCOE) & \textbf{Total (\$/MWh)} & \textbf{O\&M (\$/MWh)} \\
% \midrule Adv. Nuclear & 88.24 & \cellcolor{red!30!primary}\textbf{16.15} \\
% Natural Gas & 39.94 & 1.68 \\
% \bottomrule
% \end{tabular}
% }
%
% \scriptsize Source: EIA Annual Energy Outlook 2022
%
}
\end{column}
\begin{column}{0.5\textwidth}
\center
\textbf<1>{How much baseload power increase is this?}
\only<2>{% TikZ grid of nuclear plants
\begin{tikzpicture}
% Adjustable parameters
\def\iconsize{0.44cm} % Size of each icon
\def\xspacing{0.6cm} % Horizontal spacing between icons
\def\yspacing{0.6cm} % Vertical spacing between icons
% Draw grid of icons
\foreach \row in {0,...,9} {
\foreach \col in {0,...,9} {
\node at (\col*\xspacing, -\row*\yspacing)
{\includegraphics[width=\iconsize]{images/1_hook/nuclear-plant.png}};
}
}
\end{tikzpicture}
\textbf<2>{30 gigawatts!}
}
\end{column}
\end{columns}
\end{frame}

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\begin{frame}{Nuclear reactors are operated with prescriptive handbooks and
legacy control technologies}
\centering
\includegraphics[width=\textwidth,height=0.75\textheight,keepaspectratio]{images/2_state_of_the_art/control_room.jpg}
\end{frame}
\begin{frame}{Building a fleet of new reactors with current requirements
will be an incredible staffing challenge
}
\centering
\underline{How many reactor operators are required to staff this new fleet?}
\vspace{0.3cm}
\begin{columns}[c]
\begin{column}{0.3\textwidth}
\begin{figure}
\includegraphics[width=0.3\textwidth]{images/2_state_of_the_art/nuclear-plant.png}
\caption*{For one Small Modular Reactor (SMR)...}
\end{figure}
\end{column}
\begin{column}{0.7\textwidth}
\centering
\only<2->{
\vspace{0.3cm}
\textbf{24/7 operations require \(\sim\)6 shifts:}
\vspace{0.1cm}
\begin{tikzpicture}
% Adjustable parameters
\def\iconsize{0.6cm}
\def\xspacing{0.8cm}
\def\yspacing{0.9cm}
% 12 Senior Operators (2 per shift <20> 6 shifts)
\foreach \row in {0,1} {
\foreach \col in {0,...,5} {
\node at (\col*\xspacing, -\row*\yspacing)
{\includegraphics[width=\iconsize]{images/2_state_of_the_art/foreman.png}};
}
}
% 12 Reactor Operators (2 per shift <20> 6 shifts)
\foreach \row in {2,3} {
\foreach \col in {0,...,5} {
\node at (\col*\xspacing, -\row*\yspacing)
{\includegraphics[width=\iconsize]{images/2_state_of_the_art/worker.png}};
}
}
% Labels
\node[right] at (6*\xspacing, -0.5*\yspacing) {\small 12 SROs};
\node[right] at (6*\xspacing, -2.5*\yspacing) {\small 12 ROs};
\end{tikzpicture}
\vspace{0.1cm}
\textbf{24 licensed operators per reactor}
}
\end{column}
\end{columns}
\onslide<2->{\vspace{0.2cm}
\large{
\textbf{To meet demand we require 2,400 new licensed operators!}
}
}
\onslide<3>{
\alert{
\textit{We currently have only 3,600 licensed operators total...}
}
}
\end{frame}

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\begin{frame}{Human reactor operators have key limitations that limit nuclear
buildout}
\begin{columns}[t]
\begin{column}{0.33\textwidth}
\only<1>{
\begin{alertblock}{Humans cannot meet labor demand}
\centering
\includegraphics[width=2cm]{images/3_limitations/foreman.png}
\includegraphics[width=2cm]{images/3_limitations/worker.png}
\end{alertblock}
}
\only<2->{
\begin{block}{Humans cannot meet labor demand}
\centering
\includegraphics[width=2cm]{images/3_limitations/foreman.png}
\includegraphics[width=2cm]{images/3_limitations/worker.png}
\end{block}
}
\end{column}
\pause
\begin{column}{0.33\textwidth}
\only<2>{
\begin{alertblock}{Procedures are not formally verified}
\centering
\includegraphics[width=2cm]{images/3_limitations/computer.png}
\end{alertblock}
}
\only<3->{
\begin{block}{Procedures are not formally verified}
\centering
\includegraphics[width=2cm]{images/3_limitations/computer.png}
\end{block}
}
\end{column}
\pause
\begin{column}{0.33\textwidth}
\only<3>{
\begin{alertblock}{Human factors cannot be trained away}
\centering
\includegraphics[width=2cm]{images/3_limitations/test.png}
\end{alertblock}
}
\end{column}
\end{columns}
\end{frame}

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\begin{frame}{The goal of this research is to create verified autonomous control
systems}
\textbf{\underline{
If this research is successful, we will be able to do the following:
}}
\pause
\begin{enumerate}
\item \alert<2>{Translate written procedures into discrete control logic}
\pause
\item \alert<3>{Verify continuous control behavior across discrete mode
transitions}
\pause
\item \alert<4>{Demonstrate autonomous reactor startup with verifiable safety
guarantees}
\end{enumerate}
\end{frame}
\begin{frame}{First, we will formalize written procedures into logical
statements}
\begin{columns}[c]
\begin{column}{0.7\textwidth}
\includegraphics[
width=1.0\textwidth,
trim={1cm 22cm 1cm 0cm},
clip
]
{images/4_research_approach/procedure.png}
\scriptsize{
Westinghouse Technology Systems Manual, Section 19.0 - Plant Operations
}
\end{column}
\begin{column}{0.3\textwidth}
\only<2>{
\begin{alertblock}{FRET Specification}
\scriptsize
\texttt{INITIAL\_CONDITIONS shall satisfy:}
\begin{itemize}
\item[] \texttt{mode = MODE\_5}
\item[] \texttt{k\_eff < 0.99}
\item[] \texttt{power = 0}
\item[] \texttt{t\_avg < 200}
\item[] \texttt{...}
\end{itemize}
\end{alertblock}
}
\only<3->{
\begin{block}{FRET Specification}
\scriptsize
\texttt{INITIAL\_CONDITIONS shall satisfy:}
\begin{itemize}
\item[] \texttt{mode = MODE\_5}
\item[] \texttt{k\_eff < 0.99}
\item[] \texttt{power = 0}
\item[] \texttt{t\_avg < 200}
\item[] \texttt{...}
\end{itemize}
\end{block}
}
\only<3>{
\begin{alertblock}{LTL Formula}
\scriptsize
\texttt{$\Box$ (initial $\rightarrow$ (}
\begin{itemize}
\item[] \texttt{mode\_5\_active $\land$}
\item[] \texttt{k\_eff\_subcritical $\land$}
\item[] \texttt{zero\_power $\land$}
\item[] \texttt{temp\_safe $\land$}
\item[] \texttt{...))}
\end{itemize}
\end{alertblock}
}
\end{column}
\end{columns}
\end{frame}
\begin{frame}{Second, we will use reactive synthesis to convert the logical formulae to generate discrete
automata}
\begin{columns}
\begin{column}{0.5\textwidth}
\begin{tikzpicture}
\node (chess) at (0cm,0cm){\includegraphics[width=0.4\textwidth]{images/4_research_approach/strategy.png}};
\node[draw=textcolor, fill=secondary, left=0.1cm of chess, yshift=-0.8cm] {Plant};
\node[draw=textcolor, fill=primary!30!red, right=0.1cm of chess, yshift=0.4cm] {Controller};
\end{tikzpicture}
\end{column}
\begin{column}{0.5\textwidth}
\pause
\begin{tikzpicture}[
state/.style={circle, draw=textcolor, fill=secondary, minimum size=1.2cm},
transition/.style={->, >=stealth, thick}
]
% States arranged vertically
\coordinate (start) at (0,1.5);
\node[state] (s0) at (0,0) {\scriptsize MODE 5};
\node[state] (s1) at (0,-2) {\scriptsize MODE 4};
\node[state] (s2) at (1,-4) {\scriptsize MODE 3};
\node[state] (s3) at (3,-5.) {\scriptsize MODE 2};
\node[state] (s4) at (5,-6) {\scriptsize MODE 1};
\node[state] (s5) at (3,-1.5) {\scriptsize SCRAM};
% Transitions
\draw[transition] (start) -- node[midway, right] {\scriptsize Start} (s0);
\draw[transition] (s0) -- (s1);
\draw[transition] (s1) -- (s2);
\draw[transition] (s2) -- (s3);
\draw[transition] (s3) -- (s4);
\draw[transition] (s2) to[bend right] (s5);
\draw[transition] (s1) to[bend right] (s5);
\draw[transition] (s3) to[bend right] (s5);
\draw[transition] (s4) to[bend right] (s5);
\draw[transition] (s0) to[loop left] (s0);
\draw[transition] (s1) to[loop left] (s1);
\draw[transition] (s2) to[loop left] (s2);
\draw[transition] (s3) to[loop below] (s3);
\draw[transition] (s4) to[loop below] (s4);
\end{tikzpicture}
\end{column}
\end{columns}
\end{frame}
\begin{frame}{Finally, we will build continuous controllers to move between
discrete states}
\begin{columns}
\begin{column}{0.5\textwidth}
\includegraphics[height=0.7\textheight]{bouncing_ball_hybrid.png}
\end{column}
\begin{column}{0.5\textwidth}
\only<2>{
\begin{alertblock}{Key Challenge}
\small
Verify continuous control behavior across discrete mode transitions
\end{alertblock}
}
\only<3->{
\begin{block}{Key Challenge}
\small
Verify continuous control behavior across discrete mode transitions
\end{block}
}
\vspace{0.3cm}
\only<3>{
\begin{alertblock}{Reachable Set}
\small
$\mathcal{R}(t) = \{x(t) \mid x(0) \in X_0, \dot{x} = f(x)\}$
\end{alertblock}
}
\only<4->{
\begin{block}{Reachable Set}
\small
$\mathcal{R}(t) = \{x(t) \mid x(0) \in X_0, \dot{x} = f(x)\}$
\end{block}
}
\vspace{0.3cm}
\only<4>{
\begin{alertblock}{Barrier Certificate}
\small
$B(x) > 0 \land \nabla B \cdot f(x) \leq 0 \implies x \in \text{Safe}$
\end{alertblock}
}
\end{column}
\end{columns}
\end{frame}

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\begin{frame}{Success will be measured through Technology Readiness Level advancement}
\begin{columns}
\begin{column}{0.3\textwidth}
\begin{block}{Why TRLs?}
\small
Bridge gap between proof-of-concept and deployment
\begin{itemize}
\item[] Measure both rigor and feasibility
\end{itemize}
\end{block}
\vspace{0.5cm}
\textbf{Current:} TRL 2-3\\
\textbf{Target:} TRL 5
\end{column}
\begin{column}{0.7\textwidth}
\begin{columns}
\begin{column}{0.33\textwidth}
\centering
\only<1->{\only<1>{\alert{\textbf{TRL 3}}}%
\only<2->{\textbf{TRL 3}}\\
\small Components\\
\vspace{0.2cm}
\includegraphics[width=0.8\textwidth]{images/5_metrics_of_success/puzzle.png}}
\end{column}
\begin{column}{0.33\textwidth}
\centering
\only<2->{\only<2>{\alert{\textbf{TRL 4}}}%
\only<3->{\textbf{TRL 4}}\\
\small Integration\\
\vspace{0.2cm}
\includegraphics[width=0.8\textwidth]{images/5_metrics_of_success/puzzle_complete.png}}
\end{column}
\begin{column}{0.33\textwidth}
\centering
\only<3->{\alert<3>{\textbf{TRL 5}}\\
\small Hardware\\
\vspace{0.2cm}
\begin{tikzpicture}
\node[anchor=south west,inner sep=0] (controller) at (0,0) {\includegraphics[width=0.8\columnwidth]{images/5_metrics_of_success/controller.png}};
\node[anchor=center,inner sep=2pt] at (2.48,1.88) {\includegraphics[width=0.3\columnwidth]{images/5_metrics_of_success/emerson_logo_only.png}};
\end{tikzpicture}}
\end{column}
\end{columns}
\end{column}
\end{columns}
\end{frame}

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\begin{frame}{Four primary risks are identified with clear mitigation and contingency plans}
\begin{enumerate}
\item<1-> \alert<1>{Computational Tractability of Synthesis}
\item<2-> \alert<2>{Discrete-Continuous Interface Complexity}
\item<3-> \alert<3>{Procedure Formalization Completeness}
\item<4-> \alert<4>{Hardware-in-the-Loop Integration}
\end{enumerate}
\end{frame}

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\begin{frame}{Broader Impact: Multi-billion dollar O\&M cost reduction}
\begin{block}{The Economic Opportunity}
\small
Datacenter electricity demand projected to reach \textbf{1,050 TWh/year by 2030}
\end{block}
\vspace{0.5cm}
\textbf{If supplied by nuclear power:}
\begin{align*}
\text{Total annual cost} &= 1,050 \text{ TWh/yr} \times \$88.24/\text{MWh} \\
&= \textbf{\$92.7 billion/year}
\end{align*}
\pause
\vspace{0.3cm}
\textbf{O\&M represents 23-30\% of LCOE:}
\begin{align*}
\text{O\&M costs} &= \$92.7\text{B} \times 0.23\text{-}0.30 \\
&= \textbf{\$21-28 billion/year}
\end{align*}
\pause
\vspace{0.5cm}
\begin{center}
\large
\textbf{Autonomous control directly addresses\\
this multi-billion dollar challenge}
\end{center}
\end{frame}
\begin{frame}{Beyond nuclear: A generalizable framework for safety-critical autonomy}
\begin{columns}
\begin{column}{0.5\textwidth}
\begin{block}{Why Nuclear First?}
\small
\begin{itemize}
\item Highest regulatory requirements
\item Most safety-critical domain
\item Procedures already documented
\item Establishes regulatory pathway
\end{itemize}
\end{block}
\end{column}
\begin{column}{0.5\textwidth}
\begin{block}{Future Applications}
\small
\begin{itemize}
\item Chemical process control
\item Aerospace systems
\item Autonomous transportation
\item Critical infrastructure
\end{itemize}
\end{block}
\end{column}
\end{columns}
\vspace{1cm}
\begin{center}
\textbf{Translate procedures $\rightarrow$ Synthesize logic $\rightarrow$ Verify behavior}\\
\small Applicable to any hybrid system with documented operational requirements
\end{center}
\end{frame}

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\begin{frame}[plain]
\LARGE\textbf{Formally Verified Autonomous Hybrid Control}
\vspace{0.2cm}
\begin{columns}[T]
% Left column: Contact info
\begin{column}{0.35\textwidth}
\normalsize Enabling Economic Viability of Next-Generation Nuclear Power
\vspace{0.5cm}
\large\textbf{Dane A. Sabo}\\
\small dane.sabo@pitt.edu
\vspace{0.5cm}
\textbf{Advisor:}\\
Dr. Daniel G. Cole\\
\small dgcole@pitt.edu
\vspace{0.5cm}
University of Pittsburgh\\
Department of Mechanical Engineering and Materials Science
\end{column}
% Right column: Money image
\begin{column}{0.65\textwidth}
\centering
\includegraphics[height=0.7\textheight]{images/money.png}
\end{column}
\end{columns}
\end{frame}

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@ -42,9 +42,11 @@
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{\node[anchor=west, headingcolor,font=\large] at (1.05,1.0){\parbox[l]{13cm}{\insertframetitle}};} {\node[anchor=west, headingcolor,font=\large] at
(1.05,1.0){\parbox[l]{17cm}{\raggedright \insertframetitle}};}
\else% INCLUDE SUBTITLE \else% INCLUDE SUBTITLE
{\node[anchor= west, headingcolor,font=\normalsize] at (1.05,1.31){\parbox[l]{13cm}{\insertframetitle}};% {\node[anchor= west, headingcolor,font=\normalsize] at
(1.05,1.31){\parbox[l]{17cm}{\raggedright \insertframetitle}};%
\node[anchor= west, headingcolor,font=\footnotesize] at \node[anchor= west, headingcolor,font=\footnotesize] at
(1.05,0.31){\textit{\insertframesubtitle}}; (1.05,0.31){\textit{\insertframesubtitle}};
}% }%