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solar_dish:start [2021/07/14 15:44] – [Irradiance Maps] rolfsolar_dish:start [2022/03/03 13:37] (current) – [Tasks / Questions] rolf
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 {{https://upload.wikimedia.org/wikipedia/commons/thumb/e/e6/World_GHI_Solar-resource-map_GlobalSolarAtlas_World-Bank-Esmap-Solargis.png/1280px-World_GHI_Solar-resource-map_GlobalSolarAtlas_World-Bank-Esmap-Solargis.png}} {{https://upload.wikimedia.org/wikipedia/commons/thumb/e/e6/World_GHI_Solar-resource-map_GlobalSolarAtlas_World-Bank-Esmap-Solargis.png/1280px-World_GHI_Solar-resource-map_GlobalSolarAtlas_World-Bank-Esmap-Solargis.png}}
-//Fig.: Map of global irradiation on a horizontal plane. Please consider the different color scales! The diagrams are not directly comparable!//+//Fig.: Map of global irradiation on a horizontal plane.//  
 +\\ 
 +Please consider the different color scales! The two irradiance diagrams are not directly comparable!
 \\ \\
 Source: https://en.wikipedia.org/wiki/Solar_irradiance Source: https://en.wikipedia.org/wiki/Solar_irradiance
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 {{https://upload.wikimedia.org/wikipedia/commons/thumb/6/65/World_DNI_Solar-resource-map_GlobalSolarAtlas_World-Bank-Esmap-Solargis.png/1280px-World_DNI_Solar-resource-map_GlobalSolarAtlas_World-Bank-Esmap-Solargis.png}} \\  {{https://upload.wikimedia.org/wikipedia/commons/thumb/6/65/World_DNI_Solar-resource-map_GlobalSolarAtlas_World-Bank-Esmap-Solargis.png/1280px-World_DNI_Solar-resource-map_GlobalSolarAtlas_World-Bank-Esmap-Solargis.png}} \\ 
-//Fig.: Map of direct normal irradiation. Please consider the different color scales! The diagrams are not directly comparable!//+//Fig.: Map of direct normal irradiation.//  
 +\\ 
 +Please consider the different color scales! The two irradiance diagrams are not directly comparable!
 \\ \\
 Source: https://en.wikipedia.org/wiki/Solar_irradiance Source: https://en.wikipedia.org/wiki/Solar_irradiance
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   - What is concentrated solar power? What are advantages and disadvantages compared to photovoltaics?    - What is concentrated solar power? What are advantages and disadvantages compared to photovoltaics? 
   - Is there any significant large scale CSP plant implementation?    - Is there any significant large scale CSP plant implementation? 
-  - Assume you were an investor. Where in Europe would you try to install a large scale SCP plant? Explain.+  - Assume you were an investor. Where in Europe would you try to install a large scale CSP plant? Explain.
   - What do "direct normal irradiation" and "global horizontal irradiation" in the above diagrams mean?    - What do "direct normal irradiation" and "global horizontal irradiation" in the above diagrams mean? 
-  - Assume the Dish-Stirling-System were equipped with a solar tracker collecting the direct normal component. What is the approximate irradiation energy per year in Almería (Spain) per 1 m² of solar collector? Read it from the diagrams above. +  - Assume the Dish-Stirling-System were equipped with a solar tracker collecting the direct normal component. What is the approximate(!) insolation (energy, cumulative irradiance) per year in Almería (Spain) per 1 m² of solar collector? Read it from the diagrams above. The rough value ranges given by the color scale are sufficient for a rough estimate
   - Describe the working principle of a Stirling engine.   - Describe the working principle of a Stirling engine.
-  - Analyse the Stirling engine the P-V-diagram of which is shown above. Start with the ideal cycle. Take one of the corner points of the isothermals (400K and 850K). Assume air to be the working gas (diatomic). How many mole of air are in the machine?+  - Analyse the Stirling engine the P-V-diagram of which is shown above. Start with the ideal cycle. Take one of the corner points of the isothermals (400K and 850K). Assume air to be the working gas (diatomic). How many moles of air are in the machine?
   - What are the total heat capacities under constant volume and constant pressure?   - What are the total heat capacities under constant volume and constant pressure?
-  - In the lectures on thermodynamic cycles we set up and filled a table containing thermodynamic states as well as state transitions (aka processes) for an Otto engine. Set up a similar table and fill it for the Stirling machine under investigation (P-V-diagram above). Read the values from the diagram (as good as you can). Temperatures are given.+  - In the lectures on thermodynamic cycles we set up and filled a table containing thermodynamic states as well as state transitions (aka processes). Set up a similar table or even better two tables: One state table with states A,B,C,and one process table with state transitions 1 (A->B), 2 (B->C), 3 (C->D), 4 (D->A). Fill the table for the Stirling machine under investigation (P-V-diagram above). Read the values from the diagram (as good as you can). Temperatures are given
 +  - Draw the P-V-diagram of your calculations with matplotlib! Make it dynamic, i.e. use variables (not fixed values) such that the diagram can be recreated easily when parameters of the Stirling engine are changed (temperatures, volumes, gas type, etc.)
   - What is the net work $W_\mathrm{net}$ of the machine?   - What is the net work $W_\mathrm{net}$ of the machine?
   - What is the heat input $Q_\mathrm{in}$ from the hot reservoir and the energy loss $Q_\mathrm{out}$ to the cold reservoir?   - What is the heat input $Q_\mathrm{in}$ from the hot reservoir and the energy loss $Q_\mathrm{out}$ to the cold reservoir?
-  - What is the efficiency of that machine? +  - What is the efficiency $\eta$ of that machine? 
-  - Write a program in Python or set up an Excel sheet to be able to re-calculate all calculations easily when changing parameters. The following parameters should be modifiable: Lower and upper volume, lower and upper temperature, number of mol of diatomic working gas. +  - Write a program in Python to be able to re-calculate all calculations easily when changing parameters. The following parameters should be modifiable: Lower and upper volume, lower and upper temperature, number of moles of diatomic working gas. 
   - The efficiency of an ideal Carnot machine depends on the two temperatures $T_c$ and $T_h$. Draw the efficiency as a function of $T_h$ (from 400K to 850K). Of course, it is not linearly dependent on temperature. This means, if you double the temperature difference you are not doubling the efficiency.    - The efficiency of an ideal Carnot machine depends on the two temperatures $T_c$ and $T_h$. Draw the efficiency as a function of $T_h$ (from 400K to 850K). Of course, it is not linearly dependent on temperature. This means, if you double the temperature difference you are not doubling the efficiency. 
-  - Assume simply average annual conditions. You do not have to take irradiance variations (day time, season, weather) into account. Assume you had a mirrored dish following the sun and assume that the collected power by the dish is completely redirected to the hot end (the hot reservoir $T_h$) of the Stirling engine. How large has the dish to be (on average) to able to provide $Q_\mathrm{in}$ (on average)? +  - Assume simply average annual conditions. You do not have to take irradiance variations (day time, season, weather) into account. Assume you had a mirrored dish following the sun and assume that the collected power by the dish is completely redirected to the hot end (the hot reservoir $T_h$) of the Stirling engine. How large has the dish to be (on average) to be able to provide $Q_\mathrm{in}$ (on average)? The machine should run with 1000 RPMs on average.
  
 ===== Expected Project Output ===== ===== Expected Project Output =====
  
 +/*
   - Well-structured scientific report of approx. 5-10 pages content(!) (excluding title page, TOC, references, etc.)    - Well-structured scientific report of approx. 5-10 pages content(!) (excluding title page, TOC, references, etc.) 
-  Program (Python) +*/ 
-  - Video Tutorial+  Well-structured Jupyter Notebook (Python) as short(!) but complete scientific report! Do not just implement code but also motivate and explain your work in formatted markdown cells. 
 +  - Video presentation about your work.
  
 ===== Material ===== ===== Material =====
solar_dish/start.1626277445.txt.gz · Last modified: 2021/07/14 15:44 by rolf