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Photovoltaics characteristics Lecture Note 7 The photovoltaic effect is the basic physical process by which a solar cell converts sunlight into electricity. Sunlight contains photons or “packets” of energy sufficient to create electronhole pairs in the n and p regions. Electrons accumulate in the n-region and holes accumulate in the p region, producing a potential difference (voltage) across the cell. When an external load is connected, the electrons flow through the semiconductor material and provide current to the external load. The Solar Cell Structure Although there are other types of solar cells and continuing research promises new developments in the future, the crystalline silicon solar cell is by far the most widely used. n region is much thinner than the p region to permit light penetration A grid-work of very thin conductive contact strips are deposited on top of the wafer by methods such as photoresist or silk-screen This allows the solar cell to absorb as much of the sun’s energy as possible by reducing the amount of light energy reflected away from the surface of the cell. The contact grid must maximize the surface area of the silicon wafer that be exposed to the sunlight in order to collect as much light energy as possible. The conductive grid across the top of the cell is necessary so that the electrons have a shorter distance to travel through the silicon when an external load is connected. completed solar cell a glass or transparent plastic layer is attached to the top of the cell with transparent adhesive to protect it from the weather. Operation of a Solar Cell The sun produces an astounding amount of energy The small fraction of the sun’s total energy that reaches the earth is enough to meet all of our power needs many times over. There is sufficient solar energy striking the earth each hour to meet worldwide demands for an entire year. The n-type layer is very thin compared to the p region to allow light penetration into the p region. The thickness of the entire cell is actually about the thickness of an eggshell. the electron becomes a free electron and leaves a hole in the valence band The amount of energy required to free an electron from the valence band of a silicon atom is called the band-gap energy and is 1.12 eV (electron volts) photon penetrates either the n region or the p-type region In the p region, the free electron is swept across the depletion region by the electric field into the n region. In the n region, the hole is swept across the depletion region by the electric field into the p region. Electrons accumulate in the n region, creating a negative charge; and holes accumulate in the p region, creating a positive charge. A voltage is developed between the n region and p region contacts When a load is connected to a solar cell via the top and bottom contacts, the free electrons low out of the n region to the grid contacts on the top surface, through the negative contact, through the load and back into the positive contact on the bottom surface, and into the p region where they can recombine with holes. Solar Cell Characteristics Higher light intensity produces more current. The load on the solar cell controls the maximum operating point (RL / VI). The operating point for maximum power output for a given light intensity should be in the “knee” area of the curve, as indicated by the dashed line. A special method called maximum power point tracking will sense the operating point and adjust the load resistance to keep it in the knee region. Example assume the solar cell is operating on the highest intensity curve the voltage is 0.5 V and the current is 1.5 A The output voltage and current of a solar cell is also temperature dependent for a constant light intensity the output voltage decreases as the temperature increases but the current is affected only by a small amount. Solar Cell Panels The Solar Power System Single-Phase Transformer Tap Changers 37 Thyristors can be used as static switches for on-load tap changing of transformers. The static tap changers have a very fast switching action. The circuit diagram of a single-phase transformer tap changer is shown below. 0 vo V1 0 vo (V1 V2 ) V1 vo (V1 V2 ) 38 0 vo V1 39 0 vo (V1 V2 ) 40 V1 vo (V1 V2 ) 41 The gating pulses of thyristors can be controlled to vary the load voltage. 0 vo V1 0 vo (V1 V2 ) V1 vo (V1 V2 ) ForV1 vo (V1 V2 ) Dr. Oday A. Ahmed Cycloconverter Frequency Converter Dr. Oday A. Ahmed This power electronics converter converts input power at one frequency to output power at a different frequency through one-stage conversion. Cycloconverter are of two types, namely: (i) Step-down cycloconverter and (ii) Step-up cycloconverter. , the applications of cycloconverter include the following (i) Speed control of high-power AC drives (ii) Induction heating (iv) For converting variable-speed voltage to constant frequency output voltage for use as power supply in aircraft or shipboards. (v) Wind generators Cycloconverter Configuration T α= 0 T α= 0 α apply after 3 input pulses T 3T α= 600 α= 600 T T α apply after 3 input pulses T 3T Note that when one of the converters operates the other one is disabled, so that there is no current circulating between the two rectifiers. Constant α operation gives a crude output waveform with rich harmonic content. If the square wave can be modified to look more like a sine wave, the harmonics would be reduced. For this reason α is modulated α= 600 α= 00 T T α apply after 3 input pulses T 3T Cycloconverter Configuration α= 0 T α= 0 T α apply after 4 input pulses T 3T The DC output voltage can be obtained as: The Fundamental output voltage can be obtained as: The RMS output voltage can be obtained as: T 3T Example: single-phase bridge-type cycloconverter has input voltage of 230V and 50Hz and load of R =10Ω. Output frequency is one-third of input frequency. For a firing angle delay of 300, calculate (a) RMS value of output voltage (b) RMS current of load(c) RMS current of each thyristor and (d) input power factor. Solution: Here Vs =230V, 𝑉𝑚 = 2 × 230, R =10Ω, 𝛼 = 300 = a b 𝜋 3 c Each thyristor handles RMS current for π radians with a periodicity of 2π rad. d Input pf Input VA Po = 22.67 2 × 10 = 5.14 𝑘𝑊 Input VA = 230× 22.67 VA pf For a Single-phase Bridge Cycloconverter the output voltage waveform of it is look like the figure below: 2𝑉𝑚 𝜋 3𝑉𝑚 2𝜋 𝑉𝑚 𝜋 T Find the firing angles of each step in the waveform above and determine the output frequency 2𝑉𝑚 𝜋 3𝑉𝑚 2𝜋 T Uninterruptible Power Supply (UPS) There are several applications where even a temporary power failure can cause a great deal of public inconvenience leading to large economic losses. Examples of such applications are major computer installations, process control in chemical plants, safety monitors, general communication systems, hospital intensive care units etc. For such critical loads, it is of paramount importance to provide an uninterruptible power supply (UPS) system so as to maintain the continuity of supply in case of power outages. Earlier UPS systems were based on rotating machines arrangement as shown below: At present, however, static UPS systems are becoming popular up to a few kVA ratings. Hence What is a UPS? a UPS is a device that Provides backup power when utility power fails, either long enough for critical equipment to shut down gracefully so that no data is lost, or long enough to keep required loads operational until a generator comes online. Static UPS systems are of two types; namely short-break UPS and no-break UPS. In situations where short interruption (4 to 5msec) in supply can be tolerated, the shortbreak UPS shown below can be used. Short-break static UPS configuration When a no-break supply is required, the static UPS system shown below can be used. No-break UPS configuration In this system, main ac supply is rectified and the rectifier delivers power to maintain ,required charge on ,the batteries. Rectifier also supplies power to inverter continuously which is then given to ac-type load through filter and normally-on switch. In case of main-supply failure, batteries at once take over with no-break of supply to the critical load. Figure below shows one of no break UPS configuration with different power electronics Converters. Switching Regulated DC Power supplies or Switch-Mode DC Power Supply (SMPS) The rising cost of electricity and continuous reductions in the size of many electronic devices have stimulated recent developments in switching regulated power supplies. These supplies are smaller, lighter, and dissipate less power than equivalent linear supplies. SMPS is based on the chopper principle. The output DC voltage is controlled by varying the duty cycle of chopper by PWM techniques . SMPS refer to transformer-isolated DC-DC converters. The typical block diagram of SMPS is shown below: By employing high switching frequencies, the sizes of the power transformer and associated filtering components in the SMPS are dramatically reduced in comparison to the linear RDPS. In the uninterruptible power supply system as shown in the Figure below: The desktop Personal computer PC consumes a power of 500W supplied by the inverter at a sinusoidal voltage of 220V and at a frequency of 50Hz. The battery is required to provide a 15-minutes backup time when the utility power fails. The efficiency of the charger is 80%, the efficiency of the inverter is 75%, and the battery must be restored within 4 hours after the utility power returns. Determine, 1. The average output voltage and current of the charger. 2. RMS values of output and input currents, and supply pf of the charger. 3. The RMS output current of the inverter if the input impedance of the PC power supply is 10Ω. 1. The input power to the inverter, 2. The average battery discharge current, with the assumption that the battery voltage is averaged at 150V throughout the backup period, 3. The minimum battery capacity required in ampere-hours, 4. The maximum charger input power. Solution: 1. The circuit diagram of the DC charger is a single-phase full bridge diode rectifier as shown below Thus, the average output voltage Vo is 2𝑉𝑚 2 2𝑉𝑠 2 2 × 220 𝑉𝑜 = = = = 198𝑉 𝜋 𝜋 𝜋 1. The output current must be ripple free ⟹ RMS value of output current Ior = average value of output current Io , this current can be obtained as shown below: Since, the output power of the inverter is Po =500W and the inverter’s efficiency 𝜂=75% ⟹ the input power can be obtained as 𝑃𝑜 500 = = 667𝑊 𝜂 0.75 The power input of the inverter is the power output of the charger ⟹ 𝑃𝑖𝑛 𝑜𝑓 𝑡ℎ𝑒 𝑖𝑛𝑣𝑒𝑟𝑡𝑒𝑟 = 𝑃𝑜 𝑜𝑓 𝑡ℎ𝑒 𝑐ℎ𝑎𝑟𝑔𝑒𝑟 = 𝑉𝑜 × 𝐼𝑜 𝑃𝑖𝑛 = ⟹ 𝑃𝑜 667 𝐼𝑜 = = = 3.36𝐴 = 𝐼𝑜𝑟 𝑉𝑜 198 RMS value of source current Is 𝐼𝑠 = 𝜋𝐼𝑜2 = 𝐼𝑜 = 3.36𝐴 𝜋 Hence, Supply pf is 𝑜𝑢𝑡𝑝𝑢𝑡 𝑝𝑜𝑤𝑒𝑟 𝑜𝑓 𝑡ℎ𝑒 𝑐ℎ𝑎𝑟𝑔𝑒𝑟 𝑜𝑟 𝑟𝑒𝑐𝑡𝑖𝑓𝑖𝑒𝑟 𝑐𝑜𝑠𝜑 = 𝑖𝑛𝑝𝑢𝑡 𝑎𝑝𝑝𝑎𝑟𝑒𝑛𝑡 𝑝𝑜𝑤𝑒𝑟 𝑜𝑓 𝑡ℎ𝑒 𝑐ℎ𝑎𝑟𝑔𝑒𝑟 𝑜𝑟 𝑟𝑒𝑐𝑡𝑖𝑓𝑖𝑒𝑟 𝑐𝑜𝑠𝜑 = 𝑃𝑜 667 = = 0.9 𝑙𝑎𝑔 𝑉𝑠 × 𝐼𝑠 220 × 3.36 1. The topology of the inverter is a single-phase bridge DC-AC converter, as shown below The RMS inverter’s output current Iorms is equal to: 𝐼𝑜𝑟𝑚𝑠 = 𝑉𝑜𝑟𝑚𝑠 𝑅 R is the load resistance and its equal to the input impedance of the PC power supply. Thus, R = 10Ω ⟹ 220 𝐼𝑜𝑟𝑚𝑠 = = 22𝐴 10 1. 2. 3. 4. The input power to the inverter is found in step 2 For an average voltage of 150 V at 667 W within the back-up period, the battery current = 667/150 = 4.45 A Minimum battery capacity = 4.45 x15/60 = 1.11 Ah (ampere-hour) At 198V output from the charger, Charger current to the inverter = 3.36A, Charger current to the battery = 1.11/4=0.278A Total charger current = 3.36A+0.278A= 3.638A Maximum output power of the charger =3.638×198=720W ⟹ For a charger efficiency of 80%, the maximum input power = 720/0.8=900W