thesis: Add grid frequency measurement plots
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((*- endblock header -*))
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((* block maketitle *))\vspace*{3cm}((* endblock maketitle *))
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@ -472,14 +472,14 @@
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x-color = {#cc3300},
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year = {2018}
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}
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@techreport{entsoe01,
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author = {ENTSO-E System Protection Dynamics and WG},
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month = mar,
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title = {Oscillation Event 03.12.2017},
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url = {https://docstore.entsoe.eu/Documents/SOC%20documents/Regional_Groups_Continental_Europe/OSCILLATION_REPORT_SPD.pdf},
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year = {2018}
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}
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@TechReport{entsoe01,
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author = {{ENTSO-E System Protection Dynamics and WG}},
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title = {Oscillation Event 03.12.2017},
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url = {https://docstore.entsoe.eu/Documents/SOC%20documents/Regional_Groups_Continental_Europe/OSCILLATION_REPORT_SPD.pdf},
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month = mar,
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year = {2018},
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}
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@article{leveson01,
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author = {Nancy G. Leveson and Clark S. Turner},
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@ -540,14 +540,14 @@
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title = {Smart meters in smart grid: An overview},
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year = {2013}
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}
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@techreport{cenelec01,
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author = {The CEN/CENELEC/ETSI Joint Working Group Standards Smart on for Grids},
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month = may,
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organization = {CEN/CENELEC/ETSI},
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title = {Final report of the CEN/CENELEC/ETSI Joint Working Group on Standards for Smart Grids},
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year = {2011}
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}
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@TechReport{cenelec01,
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author = {{The CEN/CENELEC/ETSI Joint Working Group Standards Smart on for Grids}},
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title = {Final report of the CEN/CENELEC/ETSI Joint Working Group on Standards for Smart Grids},
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month = may,
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organization = {CEN/CENELEC/ETSI},
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year = {2011},
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}
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@techreport{pariente01,
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author = {Dillon Pariente and Emmanuel Ledinot},
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@ -820,4 +820,28 @@
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year = {2016},
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}
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@Article{perrin01,
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author = {Perrin, Trevor},
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title = {The Noise protocol framework, 2015},
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journal = {URL http://noiseprotocol. org/noise. pdf},
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year = {2016},
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}
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@Article{kabalci01,
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author = {Yasin Kabalci},
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title = {A survey on smart metering and smart grid communication},
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doi = {10.1016/j.rser.2015.12.114},
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issn = {1364-0321},
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pages = {302-318},
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volume = {57},
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year = {2016},
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}
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@Thesis{gasior02,
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author = {Gasior, Marek},
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title = {{Improving frequency resolution of discrete spectra: algorithms of three-node interpolation}},
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url = {https://cds.cern.ch/record/1346070},
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year = {2006},
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}
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@Comment{jabref-meta: databaseType:biblatex;}
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@ -889,7 +889,7 @@ despite numerous distortions.
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\begin{figure}
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\centering
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\includegraphics{../lab-windows/fig_out/mains_voltage_spectrum}
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\caption{Fourier transform of an 8 hour capture of mains voltage. Data was captured using our frequency measurement
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\caption{Fourier transform of a 24 hour capture of mains voltage. Data was captured using our frequency measurement
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sensor described in section \ref{sec-fsensor} and FFT'ed after applying a blackman window. Vertical lines indicate
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$50 \text{Hz}$ and odd harmonics.}
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\label{mains_voltage_spectrum}
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@ -1055,6 +1055,44 @@ interface and its good tolerance of system resets due to unexpected power loss.
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\subsection{Frequency sensor measurement results}
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\begin{figure}
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\centering
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\includegraphics{../lab-windows/fig_out/freq_meas_trace_24h}
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\caption{Trace of grid frequency over a 24 hour window. One clearly visible feature are large positive and negative
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transients at full hours. Times shown are UTC. Note that the european continental synchronous area that this
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sensor is placed in covers several time zones which may result in images of daily load peaks appearing in 1 hour
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intervals. Fig.\ \ref{freq_meas_trace_mag} contains two magnified intervals from this plot.}
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\label{freq_meas_trace}
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\end{figure}
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\begin{figure}
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\begin{subfigure}{\textwidth}
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\centering
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\includegraphics{../lab-windows/fig_out/freq_meas_trace_2h_1}
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\caption{A 2 hour window around 00:00 UTC.}
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\end{subfigure}
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\begin{subfigure}{\textwidth}
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\centering
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\includegraphics{../lab-windows/fig_out/freq_meas_trace_2h_2}
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\caption{A 2 hour window around 18:30 UTC.}
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\end{subfigure}
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\caption{Two magnified 2 hour windows of the trace from fig.\ \ref{freq_meas_trace}.}
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\label{freq_meas_trace_mag}
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\end{figure}
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\begin{figure}
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\centering
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\includegraphics{../lab-windows/fig_out/freq_meas_spectrum}
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\caption{Fourier transform of the 24 hour grid frequency trace in fig. \ref{freq_meas_trace} with some notable peaks
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annotated with the corresponding period in seconds. The $\frac{1}{f}$ line indicates a pink noise spectrum. We can
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clearly see the noise spectrum flattens below some frequency around $\frac{1}{120 \text{s}}$. This effect is due to
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primary control actively regulating grid frequency over such time intervals. Beyond the $\frac{1}{f}$ slope starting
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at around $1 \text{Hz}$ we can make out a white noise floor in the order of $\frac{\mu\text{Hz}}{\text{Hz}}$.
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% TODO: where does this noise floor come from? Is it a fundamental property of the grid? Is it due to limitations of
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% our measurement setup (such as ocxo stability/phase noise) ???
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}
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\label{freq_meas_spectrum}
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\end{figure}
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Captured raw waveform data is processed in the Jupyter Lab environment\cite{kluyver01} and grid frequency estimates are
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extracted as described in sec. \ref{frequency_estimation} using the \textcite{gasior01} technique. Appendix
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\ref{grid_freq_estimation_notebook} contains the Jupyter notebook we used for frequency measurement.
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@ -1063,6 +1101,16 @@ extracted as described in sec. \ref{frequency_estimation} using the \textcite{ga
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\section{Channel simulation and parameter validation}
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To validate all layers of our communication stack from modulation scheme to cryptography we built a prototype
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implementation in python. Implementing all components in a high-level language builds up familiartiy with the concepts
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while taking away much of the implementation complexity. For our demonstrator we will not be able to use python since
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our target platform is a cheap low-end microcontroller. Our demonstrator firmware will have to be written in a low-level
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language such as C or rust. For prototyping these languages lack flexibility compared to python.
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% FIXME introduce project outline, specs -> proto -> demo above!
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To validate our modulation scheme we performed a series of simulations. We produced modulated frequency data that we
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superimposed with either of simulated pink noise or an actual grid frequency measurement series.
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% FIXME do test series with simulated noise emulating measured noise spectrum
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\section{Implementation of a demonstrator unit}
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@ -1070,6 +1118,8 @@ extracted as described in sec. \ref{frequency_estimation} using the \textcite{ga
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\section{Lessons learned}
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\chapter{Future work}
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\section{Technical standardization}
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The description of a safety reset system provided in this work could be translated into a formalized technical standard
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