176 lines
8.5 KiB
TeX
176 lines
8.5 KiB
TeX
% Generated by analyze_2026_11_04.py; do not hand-edit numerical values.
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\subsection{Acquisition coverage and operating chronology}
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The acquired span is 09:52:50--16:05:13, comprising \NovSamples{}
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electrical/coordinate observations and 5,026 separate
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telemetry messages. All main observations pass the ADC quality checks and
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exceed the analysis illumination threshold. There are no duplicate main
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timestamps or decreasing main-sample uptimes. Five gaps exceed 15~s:
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09:53:10--09:53:51 (41 s); 09:54:11--09:57:17 (186 s); 10:34:38--10:34:59 (21 s); 16:03:43--16:04:23 (40 s); 16:04:43--16:05:01 (18 s). Excluding these gaps gives \NovHours{}~h of integration
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support out of 6.206~h elapsed, or 98.63\%
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coverage. The audit retains every acquired observation; no clipped samples
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or unobserved intervals are reconstructed.
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The complete overview in Fig.~\ref{fig:nov04_overview} connects electrical
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response with stage motion. There are 61 logged remote
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commands, including early tuning and repositioning. For example,
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\texttt{Delay=4} was logged at 12:27:20, before the 12:32 boundary. Three event boundaries
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divide the record without selecting a favorable performance threshold:
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\texttt{ErrMax=1100} at 12:32:02, \texttt{ErrMax=1000} at 13:53:00,
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and the first late manual-coordinate command at 15:12:42. All four sequential
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phases are retained in Table~\ref{tab:nov04_phases}. No additional remote
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commands are recorded inside the 12:32--13:53 phase; periodic controller
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reference resets continue. This is an interval without logged operator
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interventions, not a controlled comparison of firmware or settings.
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\subsection{Electrical output and aperture estimate}
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Applying Eqs.~\eqref{eq:power_estimate}--\eqref{eq:aperture} over the
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complete accepted support yields \NovEnergy{}~Wh of estimated available-MPP
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energy from \NovIrradiation{}~kWh\,m$^{-2}$ of measured aperture-plane irradiation,
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with an energy-weighted aperture estimate of \NovEfficiency\%.
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Table~\ref{tab:nov04_hourly} shows every acquired clock-hour bin, including
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the initial low response and late decline, rather than replacing the complete
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record with a midday-only integral.
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At the maximum of the power estimate (2026-11-04 12:27:40), the
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sequentially recorded values in that observation were
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$I_{sc}=502.0$ mA,
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$V_{oc}=2.361$ V and $G=1172.1$ W m$^{-2}$,
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giving 0.972~W estimated output and an instantaneous aperture
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estimate of \NovApertureAtPeakPower\% at that observation. Separate maxima are not combined
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into a synthetic operating point. The 12:32--13:53 phase contributes
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1.126~Wh over
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1.349~h, with an aperture estimate
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of \NovSteadyEfficiency\%. The 15:00--16:00 clock-hour estimate falls to
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11.51\%, and
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the phase after the first 15:12 manual command gives
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6.97\%.
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The record shows deterioration before and after that command, not evidence
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that the command alone caused it.
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\begin{table}[htbp]
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\centering\small
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\caption{Complete acquisition and fixed clock-hour summaries. $H$ is aperture-plane
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irradiation, $\widehat E$ is FF-based available energy and
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$\widehat\eta_{\mathrm{ap},E}$ is the energy-weighted aperture estimate.
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Bins contain only acquired observations. Both edge endpoints must lie inside a
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bin, so subdivided integrals omit boundary-crossing edges and need not sum
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exactly to the full-record integral.}
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\label{tab:nov04_hourly}
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\begin{tabular}{lrrrrr}
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\toprule
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Window & $N$ & Support [h] & $H$ [kWh\,m$^{-2}$] & $\widehat E$ [Wh] & $\widehat\eta_{\mathrm{ap},E}$ [\%] \\
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\midrule
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Full acquired record & 5049 & 6.121 & 6.408 & 3.7463 & 23.41 \\
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09:00--10:00 & 41 & 0.056 & 0.046 & 0.0002 & 0.21 \\
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10:00--11:00 & 717 & 0.993 & 0.945 & 0.4629 & 19.61 \\
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11:00--12:00 & 718 & 0.998 & 1.100 & 0.7387 & 26.90 \\
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12:00--13:00 & 807 & 1.000 & 1.173 & 0.8094 & 27.65 \\
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13:00--14:00 & 900 & 0.999 & 1.165 & 0.8004 & 27.51 \\
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14:00--15:00 & 900 & 0.999 & 1.104 & 0.6887 & 24.97 \\
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15:00--16:00 & 900 & 0.999 & 0.838 & 0.2409 & 11.51 \\
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16:00--17:00 & 66 & 0.070 & 0.029 & 0.0004 & 0.58 \\
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\bottomrule
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\end{tabular}
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\end{table}
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\begin{table}[htbp]
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\centering\small
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\caption{All sequential event-defined phases. Internal command boundaries
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belong to the following phase; the final acquired sample is retained.
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As in Table~\ref{tab:nov04_hourly},
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edges crossing a boundary are omitted. Phases describe operation; they are not
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matched experimental treatments.}
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\label{tab:nov04_phases}
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\begin{tabular}{lrrrr}
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\toprule
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Phase boundary clocks & $N$ & Support [h] & $\widehat E$ [Wh] & $\widehat\eta_{\mathrm{ap},E}$ [\%] \\
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\midrule
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09:52:50--12:32:02 & 1863 & 2.584 & 1.601 & 23.61 \\
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12:32:02--13:53:00 & 1215 & 1.349 & 1.126 & 28.47 \\
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13:53:00--15:12:42 & 1195 & 1.327 & 0.903 & 24.95 \\
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15:12:42--16:05:13 & 776 & 0.859 & 0.114 & 6.97 \\
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\bottomrule
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\end{tabular}
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\end{table}
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\subsection{Relative response and solar-position context}
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An empirical same-record $I_{sc}/G$ reference is highly sensitive to one point:
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the maximum is 0.001078 A m$^2$ W$^{-1}$ at
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2026-11-04 13:01:07, where $G=313.0$ W m$^{-2}$ and
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$I_{sc}=337.2$ mA; the P99 reference is
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0.000420 A m$^2$ W$^{-1}$. The anomalous sample is retained.
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In its four-minute neighborhood, median irradiance is
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1186.6 W m$^{-2}$
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(61 samples), consistent with an isolated
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irradiance dip rather than sustained low irradiance; the cause remains unresolved.
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Across the accepted illuminated samples, median $I_{sc}/G$ is
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0.000335 A m$^2$ W$^{-1}$
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(interquartile range 0.000250--
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0.000376).
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Full-record integrated relative-yield indicators are
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28.9\% (maximum reference) and
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74.1\% (P99 sensitivity). These are internal,
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reference-dependent indicators rather than independently validated tracking
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efficiencies. Figure~\ref{fig:nov04_response} displays both the full
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responsivity range and a typical-range view; the anomalous observation remains
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in the analysis.
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Interpolated SunCalc positions at the first and last observations are
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130.25$^\circ$ and
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238.89$^\circ$ azimuth, with elevations
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35.86$^\circ$ and
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25.89$^\circ$, respectively.
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The printed table reaches 52.59$^\circ$
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elevation at 12:30. Figure~\ref{fig:nov04_solar_response} relates this
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trajectory to the measured normalized response. Logged coordinates span
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$X=0$--$114,000$
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and $Y=1,800$--$104,965$
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steps. These are observed solar and coordinate ranges, not independently
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validated acceptance angles or rated mechanical limits.
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\subsection{Conditional fixed-silicon reference}
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The coplanar, equal-area scenarios of Eq.~\eqref{eq:silicon_scenario}
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yield
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3.040 and 3.360 Wh, respectively;
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the corresponding estimated-CPV-to-scenario ratios are
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\NovSiliconStandardRatio{} and \NovSiliconPremiumRatio{}.
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Figure~\ref{fig:nov04_silicon} illustrates these assumptions, not measured
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comparative yields. Changing the assumed CPV fill factor from 0.82 to 0.70 or
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0.90 would change the full-record energy estimate to
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3.198 or
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4.112~Wh, respectively.
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This sensitivity range is illustrative, not a measured uncertainty interval.
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\begin{figure}[htbp]\centering
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\includegraphics[width=0.98\linewidth]{../figures/2026-11-04/field_day_overview.pdf}
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\caption{Complete 4 November acquisition. Vertical dotted lines mark sampling
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gaps; dashed lines mark the three selected phase-boundary commands. Raw trends are not smoothed, and gaps are
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not bridged. Electrical output is estimated using $FF=0.82$.}
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\label{fig:nov04_overview}\end{figure}
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\begin{figure}[htbp]\centering
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\includegraphics[width=0.92\linewidth]{../figures/2026-11-04/solar_response_alignment.pdf}
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\caption{SunCalc azimuth/elevation context aligned to the measured response.
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SunCalc entries are spaced 15 minutes; intermediate positions are linearly
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interpolated for plotting. Color encodes $I_{sc}/G$, not pointing error;
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values above P99 remain plotted in the red over-range color.}
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\label{fig:nov04_solar_response}\end{figure}
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\begin{figure}[htbp]\centering
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\includegraphics[width=0.88\linewidth]{../figures/2026-11-04/response_reference_sensitivity.pdf}
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\caption{Irradiance-normalized response for the full record. The maximum
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reference is dominated by a retained anomalous observation; P99 is shown only as
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a sensitivity analysis. Neither line is an independent ideal-tracking standard.}
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\label{fig:nov04_response}\end{figure}
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\begin{figure}[htbp]\centering
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\includegraphics[width=0.75\linewidth]{../figures/2026-11-04/fixed_silicon_scenario.pdf}
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\caption{Conditional equal-area scenarios using the measured aperture-plane irradiance.
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Silicon efficiency is held constant at 19\% or 21\%; no panel,
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temperature correction or measured head-to-head comparison is represented.}
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\label{fig:nov04_silicon}\end{figure}
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