diff --git a/pubs/renewable-energy-mdo/sections/formulation.tex b/pubs/renewable-energy-mdo/sections/formulation.tex index 7582545a..3d848d2c 100644 --- a/pubs/renewable-energy-mdo/sections/formulation.tex +++ b/pubs/renewable-energy-mdo/sections/formulation.tex @@ -161,12 +161,12 @@ \subsubsection{Design Variables, Parameters, and Constraints} Referring back to \Cref{remdo:tab:lit}, this study is the most comprehensive WEC optimization in breadth of design-variable disciplines, and on the larger end, though not the largest, in number of design variables. \begin{table}[ht] -\setlength\tabcolsep{1.5pt} % make less wide +\setlength\tabcolsep{1pt} \renewcommand{\arraystretch}{1.1} % make taller \begin{center} { \caption{Design Variables}\label{remdo:tab:design-vars} -\begin{tabular}{c>{\centering\arraybackslash}m{0.15\linewidth}>{\centering\arraybackslash}m{0.3\linewidth}>{\centering\arraybackslash}m{0.15\linewidth}>{\centering\arraybackslash}m{0.15\linewidth}>{\centering\arraybackslash}m{0.15\linewidth}c} +\begin{tabular}{c>{\centering\arraybackslash}m{0.12\linewidth}>{\centering\arraybackslash}m{0.25\linewidth}>{\centering\arraybackslash}m{0.12\linewidth}>{\centering\arraybackslash}m{0.12\linewidth}>{\centering\arraybackslash}m{0.12\linewidth}c} \textbf{\#}&\textbf{Design Variable}& \textbf{Description} & \textbf{Lower Bound}& \textbf{Nominal Value} & \textbf{Upper Bound} & \textbf{Units} \\ \hline $x_1$&$D_s$& Spar outer diameter& 0& 6& 30& m\\ $x_2$&$D_{f}$ & Float outer diameter& 1& 20 & 50& m \\ @@ -199,9 +199,10 @@ \subsubsection{Design Variables, Parameters, and Constraints} \begin{table}[ht] \centering +\setlength\tabcolsep{2pt} \renewcommand{\arraystretch}{1.4} \caption{Selected Parameters}\label{remdo:tab:parameters} -\begin{tabular}{c>{\centering\arraybackslash}p{0.35\linewidth}>{\centering\arraybackslash}p{0.3\linewidth}c} +\begin{tabular}{c>{\centering\arraybackslash}p{0.28\linewidth}>{\centering\arraybackslash}p{0.23\linewidth}c} \textbf{Parameter} & \textbf{Description} & \textbf{Value} & \textbf{Units} \\ \hline $\rho_w$ & Seawater density& 1000 & kg/$m^3$ \\ $g$& Acceleration of gravity& 9.8 & m/$s^2$ \\ diff --git a/pubs/renewable-energy-mdo/sections/introduction.tex b/pubs/renewable-energy-mdo/sections/introduction.tex index ae57deed..2f645bdc 100644 --- a/pubs/renewable-energy-mdo/sections/introduction.tex +++ b/pubs/renewable-energy-mdo/sections/introduction.tex @@ -87,6 +87,7 @@ \subsection{WEC Design Optimization: State of the Art and Gaps} %\begin{tabular} \singleColMacro{ +\setlength{\tabcolsep}{1pt} \begin{longtable}{>{\centering\arraybackslash}p{0.03\linewidth}|>{\centering\arraybackslash}p{0.05\linewidth}|>{\centering\arraybackslash}p{0.055\linewidth}|>{\centering\arraybackslash}p{0.040\linewidth}|>{\centering\arraybackslash}p{0.015\linewidth}|>{\centering\arraybackslash}p{0.025\linewidth}|>{\centering\arraybackslash}p{0.045\linewidth}|>{\centering\arraybackslash}p{0.045\linewidth}|>{\centering\arraybackslash}p{0.045\linewidth}|>{\centering\arraybackslash}p{0.045\linewidth}|>{\centering\arraybackslash}p{0.055\linewidth}|>{\centering\arraybackslash}p{0.055\linewidth}|>{\centering\arraybackslash}p{0.045\linewidth}|>{\centering\arraybackslash}p{0.055\linewidth}|>{\centering\arraybackslash}p{0.055\linewidth}|>{\centering\arraybackslash}p{0.055\linewidth}|>{\centering\arraybackslash}p{0.02\linewidth}} \rot{\textbf{Ref}} & \rot{\textbf{Device}} & \rot{\textbf{Hydro}}& \rot{\textbf{Drag}} & \rot{\textbf{\# DOF}} & \rot{\textbf{Domain}} & \rot{\textbf{Controls}} & \rot{\textbf{Mooring}} & \rot{\textbf{Powertrain}} & \rot{\textbf{Structures}} & \rot{\textbf{Economics}} & \rot{\textbf{Sea state}} & \rot{\textbf{Optimizer}}& \rot{\textbf{Objective}} & \rot{\textbf{Constraints}} & \rot{\textbf{\shortstack{Design \\ Variables}}}& \rot{\textbf{\# DVs}} \\ diff --git a/pubs/renewable-energy-mdo/sections/other-appendices.tex b/pubs/renewable-energy-mdo/sections/other-appendices.tex index b2ebbbc1..78ed7eaf 100644 --- a/pubs/renewable-energy-mdo/sections/other-appendices.tex +++ b/pubs/renewable-energy-mdo/sections/other-appendices.tex @@ -9,10 +9,11 @@ \section{Literature Review Column Legends} \begin{landscape} \begingroup +\setlength{\tabcolsep}{2pt} \begin{table}[htbp] \centering \caption{Legend keys for the dynamics and controls columns of \Cref{remdo:tab:lit}} -\begin{tabular}{>{\centering\arraybackslash}p{0.05\linewidth}>{\raggedright\arraybackslash}p{0.15\linewidth}|>{\centering\arraybackslash}p{0.05\linewidth}>{\raggedright\arraybackslash}p{0.15\linewidth}|>{\centering\arraybackslash}p{0.05\linewidth}>{\raggedright\arraybackslash}p{0.15\linewidth}|>{\centering\arraybackslash}p{0.05\linewidth}>{\raggedright\arraybackslash}p{0.15\linewidth}|>{\centering\arraybackslash}p{0.05\linewidth}>{\raggedright\arraybackslash}p{0.15\linewidth}} +\begin{tabular}{>{\centering\arraybackslash}p{0.04\linewidth}>{\raggedright\arraybackslash}p{0.14\linewidth}|>{\centering\arraybackslash}p{0.04\linewidth}>{\raggedright\arraybackslash}p{0.14\linewidth}|>{\centering\arraybackslash}p{0.04\linewidth}>{\raggedright\arraybackslash}p{0.14\linewidth}|>{\centering\arraybackslash}p{0.04\linewidth}>{\raggedright\arraybackslash}p{0.14\linewidth}|>{\centering\arraybackslash}p{0.04\linewidth}>{\raggedright\arraybackslash}p{0.14\linewidth}} \multicolumn{2}{c|}{Device}& \multicolumn{2}{c|}{Hydro}& \multicolumn{2}{c|}{Drag} &\multicolumn{2}{c|}{Domain} & \multicolumn{2}{c}{Controls} \\ \hline N-PA& N-body floating point absorber& MEEM& Matched eigenfunction expansion method or similar & DF& Describing function & F&Frequency domain & P&Proportional (pure damping) \\ ATN& Attenuator& BEM& Boundary element method& LD& Linear damping & F+&Frequency domain, with extension to incorporate constraints or nonlinearities & PI&Proportional integral (damping and stiffness, aka reactive) \\ @@ -27,9 +28,10 @@ \section{Literature Review Column Legends} \begin{landscape} \begingroup +\setlength{\tabcolsep}{2pt} \begin{table}[htbp] \caption{Legend keys for other modeling columns of \Cref{remdo:tab:lit}} -\begin{tabular}{>{\centering\arraybackslash}p{0.05\linewidth}>{\raggedright\arraybackslash}p{0.2\linewidth}|>{\centering\arraybackslash}p{0.05\linewidth}>{\raggedright\arraybackslash}p{0.2\linewidth}|>{\centering\arraybackslash}p{0.05\linewidth}>{\raggedright\arraybackslash}p{0.2\linewidth}|>{\centering\arraybackslash}p{0.05\linewidth}>{\raggedright\arraybackslash}p{0.2\linewidth}} +\begin{tabular}{>{\centering\arraybackslash}p{0.04\linewidth}>{\raggedright\arraybackslash}p{0.18\linewidth}|>{\centering\arraybackslash}p{0.04\linewidth}>{\raggedright\arraybackslash}p{0.18\linewidth}|>{\centering\arraybackslash}p{0.04\linewidth}>{\raggedright\arraybackslash}p{0.18\linewidth}|>{\centering\arraybackslash}p{0.04\linewidth}>{\raggedright\arraybackslash}p{0.18\linewidth}} \multicolumn{2}{c|}{Mooring}& \multicolumn{2}{c|}{Structures} & \multicolumn{2}{c|}{Economics}& \multicolumn{2}{c}{Sea state}\\ \hline DYN& Model incorporates mooring dynamics & AN& Models stress analytically as a function of dimensions& STR& Models structural cost & REG& Regular waves\\ DES& Study considers mooring physical design & LO& Models load without dimension-dependent stress & PTO& Models power take-off cost & IRR& Irregular wave spectrum\\ @@ -42,7 +44,7 @@ \section{Literature Review Column Legends} \begin{table}[htbp] \caption{Legend keys for the optimization columns of \Cref{remdo:tab:lit}} -\begin{tabular}{>{\centering\arraybackslash}p{0.05\linewidth}>{\raggedright\arraybackslash}p{0.2\linewidth}|>{\centering\arraybackslash}p{0.05\linewidth}>{\raggedright\arraybackslash}p{0.2\linewidth}|>{\centering\arraybackslash}p{0.05\linewidth}>{\raggedright\arraybackslash}p{0.2\linewidth}|>{\centering\arraybackslash}p{0.05\linewidth}>{\raggedright\arraybackslash}p{0.2\linewidth}} +\begin{tabular}{>{\centering\arraybackslash}p{0.04\linewidth}>{\raggedright\arraybackslash}p{0.18\linewidth}|>{\centering\arraybackslash}p{0.04\linewidth}>{\raggedright\arraybackslash}p{0.18\linewidth}|>{\centering\arraybackslash}p{0.04\linewidth}>{\raggedright\arraybackslash}p{0.18\linewidth}|>{\centering\arraybackslash}p{0.04\linewidth}>{\raggedright\arraybackslash}p{0.18\linewidth}} \multicolumn{2}{c|}{Optimization} & \multicolumn{2}{c|}{Objective} & \multicolumn{2}{c|}{Constraints} & \multicolumn{2}{c}{Design variables}\\ \hline LOC& Local optimizer (gradient-based, derivative-free)& ECON& Economic metrics or proxies, including power/size ratios& GEO& Geometric (volume, inertial, layout)& DIM&Bulk dimensions\\ GA& Genetic algorithm& PWR& Power production& AMP& Amplitude, stroke& STR&Structural thickness\\ diff --git a/pubs/renewable-energy-mdo/sections/results.tex b/pubs/renewable-energy-mdo/sections/results.tex index 844f40c7..912452dd 100644 --- a/pubs/renewable-energy-mdo/sections/results.tex +++ b/pubs/renewable-energy-mdo/sections/results.tex @@ -27,10 +27,10 @@ \subsubsection{Optimal Design} \label{remdo:fig:overlaid-geometry} \end{figure} -\begin{table}[htbp] +\begin{table*}[htbp] \input{tables/from-matlab/optimal_design_vars.tex} \caption{Optimal design variables}\label{remdo:tab:opt-dv-values} -\end{table} +\end{table*} The optimal designs are generally larger than the nominal. \ifdefined\DISSERTATION @@ -85,10 +85,10 @@ \subsubsection{Optimal Performance Outputs} %Finally, we recommend the balanced design for intermediate applications, where energy storage is available but not abundant, and cost is important but not the bottom line. An example is a grid-connected application for island communities. This balanced design has an LCOE of \$0.18/kWh and a power coefficient of variation equal to 100\%. %Further insight on the power profiles of these recommended designs compared to the baseline can be uncovered through probability distribution plots, shown in \Cref{fig:power-dist}. The minimum variation design is seen to be tuned to produce most of its power from moderate sea states only ($\sim$60-300 kW), whereas the minimum LCOE design has a much broader spectrum, collecting significant power both below 10~kW and above 1~MW. The balanced design falls in the middle. %As expected, the minimum LCOE design operates at high powers the most, spending 50\% of the time above 500~kW, compared to 40\% and 10\% for the balanced and minimum variation designs respectively. Also as expected, the minimum variation design spends a large amount of time ($\approx$40\%) at low powers below 50~kW. Interestingly, the minimum-LCOE design actually spends more time at low powers than the balanced design. In future work, the power distributions could be optimized more explicitly, incorporating information other than the coefficient of variation as an objective based on grid-level analysis. -\begin{table}[htbp] +\begin{table*}[htbp] \input{tables/from-matlab/optimal_outputs.tex} \caption{Optimal outputs}\label{remdo:tab:opt-output} -\end{table} +\end{table*} \ifdefined\DISSERTATION The minimum-LCOE design achieves an annual average electrical power of \resultsRE[powerAvgAtMinLCOE]~kW with a structural material mass of \resultsRE[structMassAtMinLCOE]~kg, requiring a generator rated for \resultsRE[powerMaxAtMinLCOE]~kW and \resultsRE[forceMaxAtMinLCOE]~kN peak. @@ -401,12 +401,12 @@ \subsubsection{Global Sensitivity to Deployment Location} \Cref{remdo:tab:location} gives the results. \fi -\begin{table}[htbp]\centering +\begin{table*}[htbp]\centering \setlength\arraycolsep{1pt} \input{tables/location_table.tex} \caption{Results for Re-Optimization in Four Distinct Locations} \label{remdo:tab:location} -\end{table} +\end{table*} \ifdefined\DISSERTATION All optimized LCOE values undercut the RM3 baseline.