From 61d2c1a46fc107b948c461adf7a317dc5c1e74ba Mon Sep 17 00:00:00 2001 From: James R T Date: Thu, 23 Apr 2020 21:54:19 +0800 Subject: [PATCH] Reorganize to include HOA 3 --- README.md | 8 +- hoa1.py | 371 -------------- dataset.xlsx => hoa1/dataset.xlsx | Bin experiment_1.xlsx => hoa1/experiment_1.xlsx | Bin hoa1/hoa1.py | 505 ++++++++++++++++++++ {images => hoa1/images}/Output.png | Bin {images => hoa1/images}/QhQc.png | Bin {images => hoa1/images}/ThTc.png | Bin {images => hoa1/images}/W.png | Bin {images => hoa1/images}/actual_boxplot.png | Bin {images => hoa1/images}/anomaly_boxplot.png | Bin instructions.pdf => hoa1/instructions.pdf | Bin worksheet.pdf => hoa1/worksheet.pdf | Bin hoa3/hoa3.py | 35 ++ hoa3/instructions.pdf | Bin 0 -> 322044 bytes hoa3/worksheet.pdf | Bin 0 -> 207513 bytes 16 files changed, 545 insertions(+), 374 deletions(-) delete mode 100644 hoa1.py rename dataset.xlsx => hoa1/dataset.xlsx (100%) rename experiment_1.xlsx => hoa1/experiment_1.xlsx (100%) create mode 100644 hoa1/hoa1.py rename {images => hoa1/images}/Output.png (100%) rename {images => hoa1/images}/QhQc.png (100%) rename {images => hoa1/images}/ThTc.png (100%) rename {images => hoa1/images}/W.png (100%) rename {images => hoa1/images}/actual_boxplot.png (100%) rename {images => hoa1/images}/anomaly_boxplot.png (100%) rename instructions.pdf => hoa1/instructions.pdf (100%) rename worksheet.pdf => hoa1/worksheet.pdf (100%) create mode 100644 hoa3/hoa3.py create mode 100644 hoa3/instructions.pdf create mode 100644 hoa3/worksheet.pdf diff --git a/README.md b/README.md index 866fdc0..30aa32f 100644 --- a/README.md +++ b/README.md @@ -1,8 +1,10 @@ # HOA -SUTD 2020 10.008 Hands-on Activity 1 Plotting Code Dump +SUTD 2020 10.008 Hands-on Activity Code Dump -This repo serves as a personal code dump of the script used to generate the answers and the resulting graphs for the Thermal Physics HOA 1 assignment. +This repo serves as a personal code dump of the script used to generate the answers and the resulting graphs/plots for the Thermal Physics HOA 1 and HOA 3 assignments. ## Usage -Add in your Plotly username and API key into the script and run by executing `python3 hoa1.py`. \ No newline at end of file +For the HOA 1 script, add in your Plotly username and API key into the script and run by executing `python3 hoa1.py`. + +For the HOA 3 script, just run `python3 hoa3.py`. \ No newline at end of file diff --git a/hoa1.py b/hoa1.py deleted file mode 100644 index 71ffa3a..0000000 --- a/hoa1.py +++ /dev/null @@ -1,371 +0,0 @@ -# 10.008 Hands-on Activity 1 Plotting Script -# This will spawn application window and browser tab popups to display the graphs -# NOTE: Ignore the pandas.util.testing and plotly.graph_objs.Marker deprecation warnings in the console when running this script -# Created by James Raphael Tiovalen (2020) - -# Setup plotly -import chart_studio -chart_studio.tools.set_credentials_file(username='', api_key='') -chart_studio.tools.set_config_file(world_readable=False, sharing='private') -import chart_studio.plotly as py -import plotly.graph_objects as go -import plotly.io as pio - -# Import scientific libraries -import pandas as pd -import numpy as np -from scipy.optimize import curve_fit -from sklearn import metrics -from sympy import symbols, diff, integrate, lambdify, exp -import matplotlib.pyplot as plt -import seaborn as sns - -# Define exponential function to fit to -def exponential(x, a, b): - return a * np.exp(- b * (x - 61.9)) - -# Define output power function -def output(rl, rin, vse): - return ((vse ** 2) * rl) / ((rin + rl) ** 2) - -# Plot exponential graphs -def plot_exponential_graph_set(time, t_c, t_h, power, resistance, room_temp): - data_dict = {"T_c": (t_c, "#17becf", 40, 20), "T_h": (t_h, "#de1738", 40, -20), "\dot{W}": (power, "#7851a9", 40, -20)} - - scatters = [] - trendlines = [] - annotations = [] - - for dataname, datapair in data_dict.items(): - # Use dogleg algorithm - popt, pcov = curve_fit(exponential, time, datapair[0], method="dogbox") - - # Prep constants for return values - if dataname == "T_c": - tc_coeffs = popt - elif dataname == "T_h": - th_coeffs = popt - elif dataname == "\dot{W}": - w_coeffs = popt - - # Compute R^2 value - r_squared = round(metrics.r2_score(exponential(time, *popt), datapair[0]), 3) - - xx = np.linspace(time[0], time[-1], 2000) - yy = exponential(xx, *popt) - - if dataname == "T_c" or dataname == "T_h": - # Creating the dataset, and generating the plot - scatters.append(go.Marker( - x=time, - y=datapair[0] + room_temp, - mode='markers', - marker=go.Marker(color=list(range(140)), colorscale="Viridis"), - name="", - showlegend=False - )) - - trendlines.append(go.Marker( - x=xx, - y=yy + room_temp, - mode='lines', - marker=go.Marker(color=datapair[1]), - name='${{{}}}$'.format(dataname), - )) - - annotations.append(go.layout.Annotation( - x=time[-20], - y=exponential(time[-20], *popt) + room_temp, - text='${} = {}e^{{-{}(t - 61.9)}} + {{{}}}$'.format(dataname, round(popt[0], 3), round(popt[1], 3), room_temp), - showarrow=True, - ax=datapair[2], - ay=datapair[3], - )) - - annotations.append(go.layout.Annotation( - x=time[-1], - y=exponential(time[-1], *popt) + room_temp, - text='$R^2 = {}$'.format(r_squared), - showarrow=True, - ax=datapair[2], - ay=datapair[3], - )) - - elif dataname == "\dot{W}": - scatters.append(go.Marker( - x=time, - y=datapair[0], - mode='markers', - marker=go.Marker(color=list(range(140)), colorscale="Viridis"), - name="", - showlegend=False - )) - - trendlines.append(go.Marker( - x=xx, - y=yy, - mode='lines', - marker=go.Marker(color=datapair[1]), - name='${{{}}}$'.format(dataname), - )) - - annotations.append(go.layout.Annotation( - x=time[-20], - y=exponential(time[-20], *popt), - text='${} = {}e^{{-{}(t - 61.9)}}$'.format(dataname, round(popt[0], 3), round(popt[1], 3)), - showarrow=True, - ax=datapair[2], - ay=datapair[3], - )) - - annotations.append(go.layout.Annotation( - x=time[-1], - y=exponential(time[-1], *popt), - text='$R^2 = {}$'.format(r_squared), - showarrow=True, - ax=datapair[2], - ay=datapair[3], - )) - - layout = go.Layout( - title='$\\textbf{{Graph for }} {} \\textbf{{ }} \Omega$'.format(resistance), - plot_bgcolor='rgb(229, 229, 229)', - xaxis=go.layout.XAxis(zerolinecolor='rgb(255,255,255)', gridcolor='rgb(255,255,255)', title='$t (s)$'), - yaxis=go.layout.YAxis(zerolinecolor='rgb(255,255,255)', gridcolor='rgb(255,255,255)', title='$T (^\circ C)$'), - annotations=annotations, - ) - - scatter_trendline_pair = list(zip(scatters, trendlines)) - final_data = [item for sublist in scatter_trendline_pair for item in sublist] - fig = go.Figure(data=final_data, layout=layout) - - # Show plot on localhost - pio.show(fig) - # pio.write_html(fig, file='T_c vs Time', auto_open=True) - return tc_coeffs, th_coeffs, w_coeffs - -def plot_qc_qh_and_w(time, tc_coeffs, th_coeffs, resistance, room_temp): - # Define symbols for differentiation - t, Tc, Th = symbols("t Tc Th") - Tc = tc_coeffs[0] * exp(-tc_coeffs[1] * (t - 61.9)) + room_temp - Th = th_coeffs[0] * exp(-th_coeffs[1] * (t - 61.9)) + room_temp - - dTcdt = diff(Tc, t) - dThdt = diff(Th, t) - - # mc = 21.87 J/°C - dQcdt = 21.87 * dTcdt - dQhdt = 21.87 * dThdt - dWdt = dQhdt + dQcdt - actual_Qc = lambdify(t, dQcdt) - actual_Qh = lambdify(t, dQhdt) - actual_W = lambdify(t, dWdt) - - # Start plotting - data_dict = {"\dot{Q_c}": (tc_coeffs[1], actual_Qc, "#17becf", dQcdt, -40, 20), "\dot{Q_h}": (th_coeffs[1], actual_Qh, "#de1738", dQhdt, 40, -20), "\dot{W}": (th_coeffs[1] + tc_coeffs[1], actual_W, "#7851a9", dWdt, 40, 20)} - plots = [] - annotations = [] - - for dataname, datapair in data_dict.items(): - xx = np.linspace(time[0], time[-1], 2000) - yy = abs(datapair[1](xx)) - - plots.append(go.Marker( - x=xx, - y=yy, - mode='lines', - marker=go.Marker(color=datapair[2]), - name='${{{}}}$'.format(dataname), - )) - - if dataname == "\dot{Q_c}" or dataname == "\dot{Q_h}": - annotations.append(go.layout.Annotation( - x=time[20], - y=abs(datapair[1](time[20])), - text='${} = {}e^{{-{}t}}$'.format(dataname, abs(round(datapair[3].args[0], 3)), round(datapair[0], 3)), - showarrow=True, - ax=datapair[4], - ay=datapair[5], - )) - - elif dataname == "\dot{W}": - annotations.append(go.layout.Annotation( - x=time[-20], - y=datapair[1](time[-20]), - text='${} = {}e^{{-{}t}} - {}e^{{-{}t}}$'.format(dataname, abs(round(dQhdt.args[0], 3)), round(th_coeffs[1], 3), abs(round(dQcdt.args[0], 3)), round(tc_coeffs[1], 3)), - showarrow=True, - ax=datapair[4], - ay=datapair[5], - )) - - layout = go.Layout( - title='$\\textbf{{Graph for }} {} \\textbf{{ }} \Omega$'.format(resistance), - plot_bgcolor='rgb(229, 229, 229)', - xaxis=go.layout.XAxis(zerolinecolor='rgb(255,255,255)', gridcolor='rgb(255,255,255)', title='$t (s)$'), - yaxis=go.layout.YAxis(zerolinecolor='rgb(255,255,255)', gridcolor='rgb(255,255,255)', title='$\dot{Q} (J/s)$'), - annotations=annotations, - ) - - fig = go.Figure(data=plots, layout=layout) - - # Show plot on localhost - pio.show(fig) - -# Trapezoidal rule method -def stage_1_sum(stage_1_time, stage_1_power, resistance): - total_energy = 0 - for i in range(len(stage_1_time) - 1): - total_energy += ((stage_1_power[i] + stage_1_power[i+1]) / 2) * (stage_1_time[i+1] - stage_1_time[i]) - - return total_energy - -# Integration method -def stage_2_sum(time, w_coeffs, resistance): - t, W = symbols("t W") - W = w_coeffs[0] * exp(-w_coeffs[1] * (t - 61.9)) - - IWdt = integrate(W, (t, time[0], time[-1])) - - return IWdt - -# Plot boxplot to detect anomalies -def detect_anomalies(output_power_values): - sns.set(style="whitegrid") - ax = sns.boxplot(x=output_power_values, orient="h", palette="Set3", flierprops=dict(markerfacecolor='r', markersize=5, linestyle='none')) - ax.set(xlabel="Output power, $\dot{W}$") - plt.show() - -# Plot actual boxplot -def plot_actual_boxplot(actual_output_power): - sns.set(style="whitegrid") - ax = sns.boxplot(x=actual_output_power, orient="h", palette="Set3", flierprops=dict(markerfacecolor='r', markersize=5, linestyle='none')) - ax.set(xlabel="Actual output power, $\dot{W}$") - plt.show() - -# Manual plotting -def output_power_graph(resistance_values, output_power_values): - scatters = [] - trendlines = [] - annotations = [] - - # Use dogleg algorithm - popt, pcov = curve_fit(output, resistance_values, output_power_values, method="dogbox") - - # Compute R^2 value - r_squared = round(metrics.r2_score(output(resistance_values, *popt), output_power_values), 3) - - xx = np.linspace(resistance_values[0], resistance_values[-1], 2000) - yy = output(xx, *popt) - - scatters.append(go.Marker( - x=resistance_values, - y=output_power_values, - mode='markers', - marker=go.Marker(color=list(range(10)), colorscale="Viridis"), - name="", - showlegend=False - )) - - trendlines.append(go.Marker( - x=xx, - y=yy, - mode='lines', - marker=go.Marker(color="#ff007f"), - name='${{\dot{W}}}$', - )) - - annotations.append(go.layout.Annotation( - x=resistance_values[-4], - y=output(resistance_values[-4], *popt), - text='$\dot{{W}} = \\frac{{{}^2 R_L}}{{{{{} + R_L}}^2}}$'.format(round(popt[1], 3), round(popt[0], 3)), - showarrow=True, - ax=70, - ay=-5, - )) - - annotations.append(go.layout.Annotation( - x=resistance_values[-1], - y=output(resistance_values[-1], *popt), - text='$R^2 = {}$'.format(r_squared), - showarrow=True, - ax=70, - ay=-5, - )) - - layout = go.Layout( - title='$\\textbf{Output Power Graph}$', - plot_bgcolor='rgb(229, 229, 229)', - xaxis=go.layout.XAxis(zerolinecolor='rgb(255,255,255)', gridcolor='rgb(255,255,255)', title='$R_L (\Omega)$'), - yaxis=go.layout.YAxis(zerolinecolor='rgb(255,255,255)', gridcolor='rgb(255,255,255)', title='$\dot{W} (W)$'), - annotations=annotations, - ) - - scatter_trendline_pair = list(zip(scatters, trendlines)) - final_data = [item for sublist in scatter_trendline_pair for item in sublist] - fig = go.Figure(data=final_data, layout=layout) - - # Show plot on localhost - pio.show(fig) - -# Function to graph (Ẇ, T_c and T_h) vs time -def plot_data_graphs(resistance): - # Read xlsx file as dataframe - df = pd.read_excel("dataset.xlsx", sheet_name=f"{resistance}ohm", usecols = "A:D", na_values=" ", skiprows=range(0, 67)).dropna() - - stage_1 = pd.read_excel("dataset.xlsx", sheet_name=f"{resistance}ohm", usecols = "A:D", na_values=" ", skiprows=[0], nrows=64).dropna() - # Voltage is 3.0 V - stage_1_power = stage_1[" Current(A)"].to_numpy() * 3 - stage_1_time = stage_1["time(s)"].to_numpy() - - # Get room temperature based on average of last two data (to minimise systematic error) - room_temp = (df["CH1(C)"].to_numpy()[-1] + df["CH2(C)"].to_numpy()[-1]) / 2 - - # Parse columns as numpy.ndarray - time = df["time(s)"].to_numpy() - t_c = df["CH1(C)"].to_numpy() - room_temp - t_h = df["CH2(C)"].to_numpy() - room_temp - power = df[" Voltage(V)"].to_numpy() ** 2 / resistance - - time = time.astype(np.float64) - t_c = t_c.astype(np.float64) - t_h = t_h.astype(np.float64) - power = power.astype(np.float64) - - # Answer question (4) - tc_coeffs, th_coeffs, w_coeffs = plot_exponential_graph_set(time, t_c, t_h, power, resistance, room_temp) - # Answer question (5) - plot_qc_qh_and_w(time, tc_coeffs, th_coeffs, resistance, room_temp) - # Answer question (7) - input = stage_1_sum(stage_1_time, stage_1_power, resistance) - print(f"Energy input: {input} J") - # Answer question (8) - output = stage_2_sum(time, w_coeffs, resistance) - print(f"Energy output: {output} J") - # Answer question (9) - efficiency = output/input * 100 - print(f"Efficiency: {efficiency}%") - -if __name__ == '__main__': - for resistance in [1]: - plot_data_graphs(resistance) - - # Manually define values for ΔT = 16.2 °C - resistance_values = np.array([1, 1.2, 1.8, 2.2, 2.7, 3.3, 3.9, 4.7, 5.6]).astype(np.float64) - voltage_values = np.array([0.176193, 0.193620666666667, 0.247881, 0.3116985, 0.317917, 0.3412875, 0.361429, 0.384375, 0.40167875]).astype(np.float64) - output_power_values = voltage_values ** 2 / resistance_values - output_power_values = output_power_values.astype(np.float64) - - # Evidence/justification to remove anomalies - detect_anomalies(output_power_values) - - # Remove anomaly - actual_resistances = np.delete(resistance_values, [3]) - actual_voltages = np.delete(voltage_values, [3]) - - actual_output_power = actual_voltages ** 2 / actual_resistances - actual_output_power = actual_output_power.astype(np.float64) - - plot_actual_boxplot(actual_output_power) - - # Answer question (11) - output_power_graph(actual_resistances, actual_output_power) diff --git a/dataset.xlsx b/hoa1/dataset.xlsx similarity index 100% rename from dataset.xlsx rename to hoa1/dataset.xlsx diff --git a/experiment_1.xlsx b/hoa1/experiment_1.xlsx similarity index 100% rename from experiment_1.xlsx rename to hoa1/experiment_1.xlsx diff --git a/hoa1/hoa1.py b/hoa1/hoa1.py new file mode 100644 index 0000000..8a1a2ba --- /dev/null +++ b/hoa1/hoa1.py @@ -0,0 +1,505 @@ +# 10.008 Hands-on Activity 1 Plotting Script +# This will spawn application window and browser tab popups to display the graphs +# NOTE: Ignore the pandas.util.testing and plotly.graph_objs.Marker deprecation warnings in the console when running this script +# Created by James Raphael Tiovalen (2020) + +# Setup plotly +import chart_studio + +chart_studio.tools.set_credentials_file(username="", api_key="") +chart_studio.tools.set_config_file(world_readable=False, sharing="private") +import chart_studio.plotly as py +import plotly.graph_objects as go +import plotly.io as pio + +# Import scientific libraries +import pandas as pd +import numpy as np +from scipy.optimize import curve_fit +from sklearn import metrics +from sympy import symbols, diff, integrate, lambdify, exp +import matplotlib.pyplot as plt +import seaborn as sns + +# Define exponential function to fit to +def exponential(x, a, b): + return a * np.exp(-b * (x - 61.9)) + + +# Define output power function +def output(rl, rin, vse): + return ((vse ** 2) * rl) / ((rin + rl) ** 2) + + +# Plot exponential graphs +def plot_exponential_graph_set(time, t_c, t_h, power, resistance, room_temp): + data_dict = { + "T_c": (t_c, "#17becf", 40, 20), + "T_h": (t_h, "#de1738", 40, -20), + "\dot{W}": (power, "#7851a9", 40, -20), + } + + scatters = [] + trendlines = [] + annotations = [] + + for dataname, datapair in data_dict.items(): + # Use dogleg algorithm + popt, pcov = curve_fit(exponential, time, datapair[0], method="dogbox") + + # Prep constants for return values + if dataname == "T_c": + tc_coeffs = popt + elif dataname == "T_h": + th_coeffs = popt + elif dataname == "\dot{W}": + w_coeffs = popt + + # Compute R^2 value + r_squared = round(metrics.r2_score(exponential(time, *popt), datapair[0]), 3) + + xx = np.linspace(time[0], time[-1], 2000) + yy = exponential(xx, *popt) + + if dataname == "T_c" or dataname == "T_h": + # Creating the dataset, and generating the plot + scatters.append( + go.Marker( + x=time, + y=datapair[0] + room_temp, + mode="markers", + marker=go.Marker(color=list(range(140)), colorscale="Viridis"), + name="", + showlegend=False, + ) + ) + + trendlines.append( + go.Marker( + x=xx, + y=yy + room_temp, + mode="lines", + marker=go.Marker(color=datapair[1]), + name="${{{}}}$".format(dataname), + ) + ) + + annotations.append( + go.layout.Annotation( + x=time[-20], + y=exponential(time[-20], *popt) + room_temp, + text="${} = {}e^{{-{}(t - 61.9)}} + {{{}}}$".format( + dataname, round(popt[0], 3), round(popt[1], 3), room_temp + ), + showarrow=True, + ax=datapair[2], + ay=datapair[3], + ) + ) + + annotations.append( + go.layout.Annotation( + x=time[-1], + y=exponential(time[-1], *popt) + room_temp, + text="$R^2 = {}$".format(r_squared), + showarrow=True, + ax=datapair[2], + ay=datapair[3], + ) + ) + + elif dataname == "\dot{W}": + scatters.append( + go.Marker( + x=time, + y=datapair[0], + mode="markers", + marker=go.Marker(color=list(range(140)), colorscale="Viridis"), + name="", + showlegend=False, + ) + ) + + trendlines.append( + go.Marker( + x=xx, + y=yy, + mode="lines", + marker=go.Marker(color=datapair[1]), + name="${{{}}}$".format(dataname), + ) + ) + + annotations.append( + go.layout.Annotation( + x=time[-20], + y=exponential(time[-20], *popt), + text="${} = {}e^{{-{}(t - 61.9)}}$".format( + dataname, round(popt[0], 3), round(popt[1], 3) + ), + showarrow=True, + ax=datapair[2], + ay=datapair[3], + ) + ) + + annotations.append( + go.layout.Annotation( + x=time[-1], + y=exponential(time[-1], *popt), + text="$R^2 = {}$".format(r_squared), + showarrow=True, + ax=datapair[2], + ay=datapair[3], + ) + ) + + layout = go.Layout( + title="$\\textbf{{Graph for }} {} \\textbf{{ }} \Omega$".format(resistance), + plot_bgcolor="rgb(229, 229, 229)", + xaxis=go.layout.XAxis( + zerolinecolor="rgb(255,255,255)", + gridcolor="rgb(255,255,255)", + title="$t (s)$", + ), + yaxis=go.layout.YAxis( + zerolinecolor="rgb(255,255,255)", + gridcolor="rgb(255,255,255)", + title="$T (^\circ C)$", + ), + annotations=annotations, + ) + + scatter_trendline_pair = list(zip(scatters, trendlines)) + final_data = [item for sublist in scatter_trendline_pair for item in sublist] + fig = go.Figure(data=final_data, layout=layout) + + # Show plot on localhost + pio.show(fig) + # pio.write_html(fig, file='T_c vs Time', auto_open=True) + return tc_coeffs, th_coeffs, w_coeffs + + +def plot_qc_qh_and_w(time, tc_coeffs, th_coeffs, resistance, room_temp): + # Define symbols for differentiation + t, Tc, Th = symbols("t Tc Th") + Tc = tc_coeffs[0] * exp(-tc_coeffs[1] * (t - 61.9)) + room_temp + Th = th_coeffs[0] * exp(-th_coeffs[1] * (t - 61.9)) + room_temp + + dTcdt = diff(Tc, t) + dThdt = diff(Th, t) + + # mc = 21.87 J/°C + dQcdt = 21.87 * dTcdt + dQhdt = 21.87 * dThdt + dWdt = dQhdt + dQcdt + actual_Qc = lambdify(t, dQcdt) + actual_Qh = lambdify(t, dQhdt) + actual_W = lambdify(t, dWdt) + + # Start plotting + data_dict = { + "\dot{Q_c}": (tc_coeffs[1], actual_Qc, "#17becf", dQcdt, -40, 20), + "\dot{Q_h}": (th_coeffs[1], actual_Qh, "#de1738", dQhdt, 40, -20), + "\dot{W}": (th_coeffs[1] + tc_coeffs[1], actual_W, "#7851a9", dWdt, 40, 20), + } + plots = [] + annotations = [] + + for dataname, datapair in data_dict.items(): + xx = np.linspace(time[0], time[-1], 2000) + yy = abs(datapair[1](xx)) + + plots.append( + go.Marker( + x=xx, + y=yy, + mode="lines", + marker=go.Marker(color=datapair[2]), + name="${{{}}}$".format(dataname), + ) + ) + + if dataname == "\dot{Q_c}" or dataname == "\dot{Q_h}": + annotations.append( + go.layout.Annotation( + x=time[20], + y=abs(datapair[1](time[20])), + text="${} = {}e^{{-{}t}}$".format( + dataname, + abs(round(datapair[3].args[0], 3)), + round(datapair[0], 3), + ), + showarrow=True, + ax=datapair[4], + ay=datapair[5], + ) + ) + + elif dataname == "\dot{W}": + annotations.append( + go.layout.Annotation( + x=time[-20], + y=datapair[1](time[-20]), + text="${} = {}e^{{-{}t}} - {}e^{{-{}t}}$".format( + dataname, + abs(round(dQhdt.args[0], 3)), + round(th_coeffs[1], 3), + abs(round(dQcdt.args[0], 3)), + round(tc_coeffs[1], 3), + ), + showarrow=True, + ax=datapair[4], + ay=datapair[5], + ) + ) + + layout = go.Layout( + title="$\\textbf{{Graph for }} {} \\textbf{{ }} \Omega$".format(resistance), + plot_bgcolor="rgb(229, 229, 229)", + xaxis=go.layout.XAxis( + zerolinecolor="rgb(255,255,255)", + gridcolor="rgb(255,255,255)", + title="$t (s)$", + ), + yaxis=go.layout.YAxis( + zerolinecolor="rgb(255,255,255)", + gridcolor="rgb(255,255,255)", + title="$\dot{Q} (J/s)$", + ), + annotations=annotations, + ) + + fig = go.Figure(data=plots, layout=layout) + + # Show plot on localhost + pio.show(fig) + + +# Trapezoidal rule method +def stage_1_sum(stage_1_time, stage_1_power, resistance): + total_energy = 0 + for i in range(len(stage_1_time) - 1): + total_energy += ((stage_1_power[i] + stage_1_power[i + 1]) / 2) * ( + stage_1_time[i + 1] - stage_1_time[i] + ) + + return total_energy + + +# Integration method +def stage_2_sum(time, w_coeffs, resistance): + t, W = symbols("t W") + W = w_coeffs[0] * exp(-w_coeffs[1] * (t - 61.9)) + + IWdt = integrate(W, (t, time[0], time[-1])) + + return IWdt + + +# Plot boxplot to detect anomalies +def detect_anomalies(output_power_values): + sns.set(style="whitegrid") + ax = sns.boxplot( + x=output_power_values, + orient="h", + palette="Set3", + flierprops=dict(markerfacecolor="r", markersize=5, linestyle="none"), + ) + ax.set(xlabel="Output power, $\dot{W}$") + plt.show() + + +# Plot actual boxplot +def plot_actual_boxplot(actual_output_power): + sns.set(style="whitegrid") + ax = sns.boxplot( + x=actual_output_power, + orient="h", + palette="Set3", + flierprops=dict(markerfacecolor="r", markersize=5, linestyle="none"), + ) + ax.set(xlabel="Actual output power, $\dot{W}$") + plt.show() + + +# Manual plotting +def output_power_graph(resistance_values, output_power_values): + scatters = [] + trendlines = [] + annotations = [] + + # Use dogleg algorithm + popt, pcov = curve_fit( + output, resistance_values, output_power_values, method="dogbox" + ) + + # Compute R^2 value + r_squared = round( + metrics.r2_score(output(resistance_values, *popt), output_power_values), 3 + ) + + xx = np.linspace(resistance_values[0], resistance_values[-1], 2000) + yy = output(xx, *popt) + + scatters.append( + go.Marker( + x=resistance_values, + y=output_power_values, + mode="markers", + marker=go.Marker(color=list(range(10)), colorscale="Viridis"), + name="", + showlegend=False, + ) + ) + + trendlines.append( + go.Marker( + x=xx, + y=yy, + mode="lines", + marker=go.Marker(color="#ff007f"), + name="${{\dot{W}}}$", + ) + ) + + annotations.append( + go.layout.Annotation( + x=resistance_values[-4], + y=output(resistance_values[-4], *popt), + text="$\dot{{W}} = \\frac{{{}^2 R_L}}{{{{{} + R_L}}^2}}$".format( + round(popt[1], 3), round(popt[0], 3) + ), + showarrow=True, + ax=70, + ay=-5, + ) + ) + + annotations.append( + go.layout.Annotation( + x=resistance_values[-1], + y=output(resistance_values[-1], *popt), + text="$R^2 = {}$".format(r_squared), + showarrow=True, + ax=70, + ay=-5, + ) + ) + + layout = go.Layout( + title="$\\textbf{Output Power Graph}$", + plot_bgcolor="rgb(229, 229, 229)", + xaxis=go.layout.XAxis( + zerolinecolor="rgb(255,255,255)", + gridcolor="rgb(255,255,255)", + title="$R_L (\Omega)$", + ), + yaxis=go.layout.YAxis( + zerolinecolor="rgb(255,255,255)", + gridcolor="rgb(255,255,255)", + title="$\dot{W} (W)$", + ), + annotations=annotations, + ) + + scatter_trendline_pair = list(zip(scatters, trendlines)) + final_data = [item for sublist in scatter_trendline_pair for item in sublist] + fig = go.Figure(data=final_data, layout=layout) + + # Show plot on localhost + pio.show(fig) + + +# Function to graph (Ẇ, T_c and T_h) vs time +def plot_data_graphs(resistance): + # Read xlsx file as dataframe + df = pd.read_excel( + "dataset.xlsx", + sheet_name=f"{resistance}ohm", + usecols="A:D", + na_values=" ", + skiprows=range(0, 67), + ).dropna() + + stage_1 = pd.read_excel( + "dataset.xlsx", + sheet_name=f"{resistance}ohm", + usecols="A:D", + na_values=" ", + skiprows=[0], + nrows=64, + ).dropna() + # Voltage is 3.0 V + stage_1_power = stage_1[" Current(A)"].to_numpy() * 3 + stage_1_time = stage_1["time(s)"].to_numpy() + + # Get room temperature based on average of last two data (to minimise systematic error) + room_temp = (df["CH1(C)"].to_numpy()[-1] + df["CH2(C)"].to_numpy()[-1]) / 2 + + # Parse columns as numpy.ndarray + time = df["time(s)"].to_numpy() + t_c = df["CH1(C)"].to_numpy() - room_temp + t_h = df["CH2(C)"].to_numpy() - room_temp + power = df[" Voltage(V)"].to_numpy() ** 2 / resistance + + time = time.astype(np.float64) + t_c = t_c.astype(np.float64) + t_h = t_h.astype(np.float64) + power = power.astype(np.float64) + + # Answer question (4) + tc_coeffs, th_coeffs, w_coeffs = plot_exponential_graph_set( + time, t_c, t_h, power, resistance, room_temp + ) + # Answer question (5) + plot_qc_qh_and_w(time, tc_coeffs, th_coeffs, resistance, room_temp) + # Answer question (7) + input = stage_1_sum(stage_1_time, stage_1_power, resistance) + print(f"Energy input: {input} J") + # Answer question (8) + output = stage_2_sum(time, w_coeffs, resistance) + print(f"Energy output: {output} J") + # Answer question (9) + efficiency = output / input * 100 + print(f"Efficiency: {efficiency}%") + + +if __name__ == "__main__": + for resistance in [1]: + plot_data_graphs(resistance) + + # Manually define values for ΔT = 16.2 °C + resistance_values = np.array([1, 1.2, 1.8, 2.2, 2.7, 3.3, 3.9, 4.7, 5.6]).astype( + np.float64 + ) + voltage_values = np.array( + [ + 0.176193, + 0.193620666666667, + 0.247881, + 0.3116985, + 0.317917, + 0.3412875, + 0.361429, + 0.384375, + 0.40167875, + ] + ).astype(np.float64) + output_power_values = voltage_values ** 2 / resistance_values + output_power_values = output_power_values.astype(np.float64) + + # Evidence/justification to remove anomalies + detect_anomalies(output_power_values) + + # Remove anomaly + actual_resistances = np.delete(resistance_values, [3]) + actual_voltages = np.delete(voltage_values, [3]) + + actual_output_power = actual_voltages ** 2 / actual_resistances + actual_output_power = actual_output_power.astype(np.float64) + + plot_actual_boxplot(actual_output_power) + + # Answer question (11) + output_power_graph(actual_resistances, actual_output_power) diff --git a/images/Output.png b/hoa1/images/Output.png similarity index 100% rename from images/Output.png rename to hoa1/images/Output.png diff --git a/images/QhQc.png b/hoa1/images/QhQc.png similarity index 100% rename from images/QhQc.png rename to hoa1/images/QhQc.png diff --git a/images/ThTc.png b/hoa1/images/ThTc.png similarity index 100% rename from images/ThTc.png rename to hoa1/images/ThTc.png diff --git a/images/W.png b/hoa1/images/W.png similarity index 100% rename from images/W.png rename to hoa1/images/W.png diff --git a/images/actual_boxplot.png b/hoa1/images/actual_boxplot.png similarity index 100% rename from images/actual_boxplot.png rename to hoa1/images/actual_boxplot.png diff --git a/images/anomaly_boxplot.png b/hoa1/images/anomaly_boxplot.png similarity index 100% rename from images/anomaly_boxplot.png rename to hoa1/images/anomaly_boxplot.png diff --git a/instructions.pdf b/hoa1/instructions.pdf similarity index 100% rename from instructions.pdf rename to hoa1/instructions.pdf diff --git a/worksheet.pdf b/hoa1/worksheet.pdf similarity index 100% rename from worksheet.pdf rename to hoa1/worksheet.pdf diff --git a/hoa3/hoa3.py b/hoa3/hoa3.py new file mode 100644 index 0000000..ab6747c --- /dev/null +++ b/hoa3/hoa3.py @@ -0,0 +1,35 @@ +# 10.008 Hands-on Activity 3 Verifier Script +# Check validity of relationship between intensity and height +# Created by James Raphael Tiovalen (2020) + +# Import scientific libraries +import numpy as np +from scipy.optimize import curve_fit +from sklearn import metrics + + +def inverse_square(h, k): + return k / (h ** 2) + + +if __name__ == "__main__": + heights = np.array([6.5, 9.0, 12.0, 17.0]).astype(np.float64) + + red_intensities = np.array( + [0.8319219036, 0.4896690263, 0.249988924, 0.1288602701] + ).astype(np.float64) + green_intensities = np.array( + [0.410783097, 0.2675019527, 0.1692426359, 0.0913581608] + ).astype(np.float64) + blue_intensities = np.array( + [1.002523336, 0.5135877745, 0.398544113, 0.1931090032] + ).astype(np.float64) + + for intensity in [red_intensities, green_intensities, blue_intensities]: + popt, pcov = curve_fit(inverse_square, heights, intensity, method="lm") + r_squared = round( + metrics.r2_score(inverse_square(heights, *popt), intensity), 3 + ) + + print(f"Equation: I = {popt[0]} / h^2") + print(f"R^2 = {r_squared}") diff --git a/hoa3/instructions.pdf b/hoa3/instructions.pdf new file mode 100644 index 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