Since we are not taking absorption in the Earth atmosphere into account, the spectrum will be...
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Since we are not taking absorption in the Earth atmosphere into account, the spectrum will be close to that of AMO, which has an integral value of 1366 W/m². Since your integration limits are different, the value will be closer to 1300-1320 W/m². You should make sure that your integration limits match, because that could lead to discrepancies and might cause confusion. You can calculate the integral on a different x-axis range than the plot if you want to "zoom in" on one region of the plot, nut you don't have to. Make sure that the x-axis has points that are equidistantly spaced and have a delta of 1 between the points if you want to use the short form of the trapz function in numpy. Task 3 (20 points): Calculate the harvested power depending on the band gap of the absorber material. You can use the photon energy to do "double duty": You can calculate the integral for the photon density versus energy plot for every photon energy point, starting the integral at that photon energy and multiplying the photon density integral by that photon energy. Once you have this data set, you can divide it by the value you obtained in Task 2 to get the efficiency. Finally, plot the efficiency versus photon (or band gap) energy. There should be a peak around 1.2 eV. Bonus (10 points): Compare the efficiency of a single junction Silicon cell (Band gap 1.1eV) with a Perovskite Tandem cell (1.2eV and 1.8eV). For the silicon cell, you can just pick a value out of your array or start the integration again at 1.1eV, multiplying with 1.1eV band gap energy. For the Tandem cell, you need to stop the integration at the larger band gap value and then re-start the integration there, but multiply with the larger band gap value. Since we are not taking absorption in the Earth atmosphere into account, the spectrum will be close to that of AMO, which has an integral value of 1366 W/m². Since your integration limits are different, the value will be closer to 1300-1320 W/m². You should make sure that your integration limits match, because that could lead to discrepancies and might cause confusion. You can calculate the integral on a different x-axis range than the plot if you want to "zoom in" on one region of the plot, nut you don't have to. Make sure that the x-axis has points that are equidistantly spaced and have a delta of 1 between the points if you want to use the short form of the trapz function in numpy. Task 3 (20 points): Calculate the harvested power depending on the band gap of the absorber material. You can use the photon energy to do "double duty": You can calculate the integral for the photon density versus energy plot for every photon energy point, starting the integral at that photon energy and multiplying the photon density integral by that photon energy. Once you have this data set, you can divide it by the value you obtained in Task 2 to get the efficiency. Finally, plot the efficiency versus photon (or band gap) energy. There should be a peak around 1.2 eV. Bonus (10 points): Compare the efficiency of a single junction Silicon cell (Band gap 1.1eV) with a Perovskite Tandem cell (1.2eV and 1.8eV). For the silicon cell, you can just pick a value out of your array or start the integration again at 1.1eV, multiplying with 1.1eV band gap energy. For the Tandem cell, you need to stop the integration at the larger band gap value and then re-start the integration there, but multiply with the larger band gap value.
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Related Book For
Smith and Roberson Business Law
ISBN: 978-0538473637
15th Edition
Authors: Richard A. Mann, Barry S. Roberts
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