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Renewable Energy Part 1 Professor Mohamed A. El-Sharkawi
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Renewable Energy Solar Wind Fuel Cell Small Hydro Geothermal Tidal
Biomass
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Solar Energy
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Solar Power Density : solar power density on earth in kW/m2
o: extraterrestrial power density (1.353 kW/m2) : zenith angle (angle from the outward normal on the earth surface to the center of the sun) dt: direct transmittance of gases except for water (the fraction of radiant energy that is not absorbed by gases) p: is the transmittance of aerosol wa: water vapor absorptions of radiation.
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Zenith Angle
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Solar Energy (Whr/m2/day)
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Daily Solar Power Density
0% 20% 40% 60% 80% 100% 2 4 6 8 10 12 14 16 18 20 22 24 Time Density ratio 2 s t:hour of the day using the 24 hr clock max: the maximum solar power density to: time at max (noontime in the equator) : standard deviation
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Solar Efficiency ()
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Example An area located near the equator has the following parameters:
Assume that the standard deviation of the solar distribution function is 3.5hr. Compute the solar power density and solar efficiency at 3:00 PM.
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Solution At noon At 3:00PM
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Types of Solar Systems Passive Solar System
Active Solar System (Photovoltaic or PV)
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New supply of cold water
Passive Solar System New supply of cold water Warm water to the house Warm water Lens Tank Sun rays Collector Cold water back to solar collector
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Passive Solar
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Integrated Solar Combined Cycle System (ISCCS)
Receiver Collector mirror
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Integrated Solar Combined Cycle System (ISCCS)
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Stirling System
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Trough System
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Solar Chimney
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Active Solar Cell (Photovoltaic PV)
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Silicon Silicon Atom Silicon Crystal Empty space for extra electron
Nucleus Electrons Empty space for extra electron Silicon Atom Silicon Crystal
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Silicon Silicon is a good insulator
To make the silicon more conductive electrically, additives (impurities) are added (doping) Phosphorus (P), which has 5 electrons in its outer shell Boron (B), which has 3 electrons in its outer shell
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P-N Material p-type n-type P B Electron without bonding
SI P Extra space for electron B n-type p-type
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Lens I - Load N-Type - P-Type Base
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Active Solar Cell (PV) PV cell is built like a diode out of semiconductor material. Sunlight is composed of photons, or particles of solar energy. Photons are the energy byproducts of the nuclear reaction in the sun. When photons strike a PV cell, some of the photons energy is absorbed by the semiconductor material of the PV cell.
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Active Solar Cell (PV) With this extra energy, the electrons in the semiconductor material become excited and break lose, and eventually begin an electric current. Because PV cells are built like diodes, free electrons are forced to flow in only one direction the current is DC.
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Main Parts of PV Glass cover or lens Antireflective coating
Contacts grid n-type material p-type material Base
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Structure of Solar System
PV cell: 4X4 inches. The cell can produce about 1 watt which is enough to run a calculator.
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Structure of Solar System
Panel or Module: To increase its energy rating, the PV cells are connect together in parallel and series. Parallel cells increase the current rating Series cells increase the voltage rating.
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Structure of Solar System
Array: PV panels connect together in parallel and series to form a high power system.
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Example Estimate the maximum power, current, and voltage ratings of the panel and array in the figure. Assume that each PV cell produce a maximum power of 2.5 W at the best solar conditions
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Solution The panel has 9 series cells. Assume that the voltage of each cell is 0.5 V, the total voltage of the panel is V The panel has a total of 36 cells, the power of the panel is W
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Total current of panel A The array consists of 2 columns of 4 series modules. The total voltage of the array is V Total power of the array is W A
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Computation of PV Energy
Solar power density
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Computation of PV Energy
Linear relationship Panel power Solar power density Panel Energy
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Example Compute the daily energy produced by a PV panel. Solution Wh
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Example A 2 m2 panel of solar cells is installed in the Nevada’s area. The efficiency of the solar panel is 10%. Compute the electrical power of the panel at 2:00PM when the solar power density is W/m2 Assume the panel is installed on a geosynchronous satellite. Compute its electrical power output.
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Solution 1. 2.
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Stand Alone PV System Converter House Solar array dc current
ac current Charger Discharger Battery Local load
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PV System without battery
Solar array House ac current Meter To utility dc current Converter Local load
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Solar System With Battery
Battery: To store the energy when the PV power is not fully utilized by the load. The battery power is later used when the PV power is less than the demand. These batteries are deep cycle types Charger: To charge the battery by the PV
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Solar System With Battery
Inverter: To invert the dc power of the battery to the 60Hz power used in homes. Synchronizer: Used to connect the PV system to the power grid. DC/AC converter.
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Ideal PV Model: P-N Junction
Anode (A) Cathode (K) I Vd
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Ideal PV Model: P-N Junction
R Vd Vs + - Vl Vd I Forward biased region Reverse biased region Io Reverse saturation current
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Ideal PV Model: P-N Junction
Vd I Forward biased region Reverse biased region Io Reverse saturation current Io: reverse saturation current VT: thermal voltage q: elementary charge constant, i.e. charge of one electron ( Coulomb) k: Boltzmann’s constant (1.380 x J/K) T: absolute temperature in Kelvin (K).
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PV Model I Load V + - The current I makes the upper terminal of the load positive with respect to the lower terminal So the diode has a positive voltage on its anode wrt cathode. This is a forward biased voltage which causes a forward current to flow back into the diode. Now we have two currents in the circuit at the same time current coming out of the diode due to the acquired energy by the PV Is current going into the diode due to the positive polarity across the load Id
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PV Model P-Type Base N-Type Lens - I Load Id Is Id I Load V=Vd
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PV Model Load V=Vd I Is Id Solar Cell
Is: the solar current (is a nonlinear variable that changes with light density (irradiance) Id: the forward current through the diode.
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Vd Is Id Io I QI QII QIII QIV PV Characteristics
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PV Power Characteristics
Id I Load V=Vd Solar Cell
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PV Power Characteristics
Voc P Pmax Vd I Isc Imp Vmp
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PV Power Characteristics
Main variables Short Circuit Current (Isc) Open Circuit Voltage (Voc) Operating Point at Maximum Power (Pmax, Vmp, Imp)
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Short Circuit PV Is Id=0 Isc=Is
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Open Circuit PV Is Id=Is Voc
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Example An ideal PV cell with reverse saturation current of 1nA is operating at 30oC. The solar current at 30oC is 1A. Compute the output voltage and output power of the PV cell when the load draws 0.5A.
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Solution
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Example An ideal solar cell with reverse saturation current of 1nA is operating at 20oC. The solar current at 20oC is 0.8A. Compute the voltage and current of the solar cell at the maximum power point.
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Solution At maximum Power
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Solution
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Solution
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Operating Point of PV The operating point of the solar cell depends on the magnitude of the load resistance R The load resistance is the output voltage V divided by the load current I. The intersection of the PV cell characteristic with the load line is the operating point of the PV cell. Is Id I Load V=Vd Solar Cell
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Operating Point of PV Voc V I R1 R2 R3 R1<R2<R3 1 2 3 Load lines
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Example For the solar cell in the previous example, compute the load resistance at the maximum output power. Solution From the previous example
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Example An ideal PV cell with a reverse saturation current of 1nA is operating at 30oC. The solar current at 30oC is 1A. The cell is connected to a 10 resistive load. Compute the output power of the cell Solution
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Iteratively, solve for V
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Effect of Irradiance Voc V I 1<2<3 3 2 1 3 2 1 Load line
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Effect of Irradiance 1 P V 2 3 1<2<3
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Effect of Temperature T
Voc V I T1>T2>T3 T3 T2 T1 Load line 1 2 3
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Effect of Temperature T
V T2 T3 T1>T2>T3
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PV Module (Series Connection)
Is1 Id1 V1 Is2 Id2 V2 Load Is=Is1=Is2 Load V=Vd1+Vd2
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PV Module (Parallel Connection)
Is1 Id1 V1 Is2 Id2 V2 Load Is=Is1+Is2 Load V=Vd1=Vd2
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Example An ideal PV module is composed of 50 solar cells connected in series. At 20oC, the solar current of each cell is 1A and the reverse saturation current is 10nA. Draw the I-V and I-P characteristics of the module.
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Solution
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Losses of PV Cell Irradiance Losses Electrical Losses
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Irradiance Losses Due to the reflection of the solar radiation at the top of the PV cell. The light has photons with wide range of energy levels Some don’t have enough energy to excite the electrons. Others have too much energy that is hard to capture by the electrons. These two scenarios account for the loss of about 70 percent of the solar energy
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Losses of PV Cell (Electrical Losses)
The resistances of the collector traces at the top of the cell. The resistance of the wires connecting cell to load. The resistance of the semiconductor crystal
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Real PV Model Rs : Resistance of wires and traces
To account for the electrical losses only Is Id I Load V Solar Cell Vd Rs Rp Ip Rs : Resistance of wires and traces Rp : internal resistance of the cell
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Efficiency of PV Cell
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Example A 100 cm2 solar cell is operating at 30oC where the output current is 1A, the load voltage is 0.4V and the saturation current of the diode is 1nA. The series resistance of the cell is 10 m and the parallel resistance is 1k. At a given time, the solar power density is 200W/m2. Compute the irradiance efficiency and the overall efficiency.
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Solution Is Id I Load V Solar Cell Vd Rs Rp Ip
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Solution Is Id I Load V Solar Cell Vd Rs Rp Ip
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Solution Conclusion: Most of the losses are irradiance Rs Load Ip V Rp
Is Id I Load V Solar Cell Vd Rs Rp Ip Conclusion: Most of the losses are irradiance
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Assessment of PV Systems
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Solar Power and the Environment
6kW from a photovoltaic system instead of a thermal power plant can reduce annual pollution by 3 lbs. of NOx (Nitrogen Oxides), 10 lbs. of SO2 (Sulfur Dioxide), and 10530 lbs. of CO2 (Carbon Dioxide).
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Assessment of PV Systems
Consumer products (calculators, watches, battery chargers, light controls, and flashlights) are the most common applications Larger PV systems are extensively used in space applications (such as satellites) In higher power applications, three factors determine the applicability of the PV systems the cost and the payback period of the system the accessibility to a power grid the individual inclination to invest in environmentally friendly technologies.
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Assessment of PV Systems
In remote areas without access to power grids, the PV system is often the first choice among the available alternatives.
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Assessment of PV Systems
By the end of the 20th century, the PV systems worldwide had the capacity of more than 900 GWh annually this PV energy is enough for about 70,000 homes in the USA, or about 4 million homes in developing countries. The largest PV plant in the world is 60MW in Spain 75 MW PV plant is being built in Cle Elum, Washington
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Assessment of PV Systems
To manufacture the solar cells, arsenic and silicon compounds are used Arsenic is odorless and flavorless semi-metallic chemical that is highly toxic Silicon, by itself, is not toxic. However, when additives are added to make the PV semiconductor material, the compound can be extremely toxic. Since water is used in the manufacturing process, the runoff could cause these material to reach local streams Should a PV array catch fire, these chemicals can be released into the environment.
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Assessment of PV Systems
Solar power density can be intermittent due to weather conditions PVs are limited exclusively to daytime use For high power PV systems, the arrays spread over a large area. The PV systems are considered by some to be visually intrusive The efficiency of the solar panel is still low, making the system expensive and large Solar systems require continuous cleaning of their surfaces
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