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lec04a

Course: ELEC 1250, Fall 2009
School: East Los Angeles College
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Circuits ELEC1250DiodesandDiode Lecture4 Examples of Diode Circuits: Rectifier Circuits DCPowerSupply. N1 Mains v m N2 v s Diode Rectifier Filter Voltage Regulator v o Load HalfWaveRectifier vd mains vi vo RL rs vd vs vi vo RL EquivalentCircuitusingtheConstant VoltagedropandResistanceModel rs ideal V DO rd vs vi vo RL PeakInverseVoltage(PIV) Two important design parameters: q q Maximum diode...

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Circuits ELEC1250DiodesandDiode Lecture4 Examples of Diode Circuits: Rectifier Circuits DCPowerSupply. N1 Mains v m N2 v s Diode Rectifier Filter Voltage Regulator v o Load HalfWaveRectifier vd mains vi vo RL rs vd vs vi vo RL EquivalentCircuitusingtheConstant VoltagedropandResistanceModel rs ideal V DO rd vs vi vo RL PeakInverseVoltage(PIV) Two important design parameters: q q Maximum diode current. Peak Inverse Voltage (PIV). PIV = Vs (peak) The PIV is the largest reverse bias voltage the diode will experience in the circuit without breaking down. Halfwaverectifier: onlyhalf(max!)waveformused 200.00m i d I 0v -100.00m 2.00 V +V DO b v s Axis label 0v -2.00 0.00 10.00m 20.00m Time [s] 30.00m 40.00m FullWaveRectifier: bothhalfcyclesused Two types: D1 vi vo RL D4 D1 vo RL D2 D3 Mains -v vi + i D2 FullWaveRectifier D1 + + Mains - + v _ i vi vo RL D2 OperationofFullWaveRectifier v Positive i D1 + Mains + vi vi vo RL - D2 D1 v Negative i - vi vi vo RL Mains + D2 OperationofFullWaveRectifier v Positive i D1 + Mains + vi vi ON vo RL - D2 D1 OFF v Negative i - vi vi OFF vo RL Mains + D2 ON OperationofFullWaveRectifier v Positive i D1 + Mains + vi vi ON vo RL - D2 D1 OFF v Negative i - vi vi OFF vo RL Mains + D2 ON OperationofFullWaveRectifier v Positive i D1 + Mains + vi vi ON vo RL - D2 OFF What is PIV (peak inverse voltage) here? For bottom diode, will occur when sine wave is max positive at top SteadyStateWaveforms V i 2.00 ~V DO 1.00 Output voltage [V] 0.00 -1.00 v L 10.00m 20.00m Time [s] 30.00m 40.00m -2.00 0.00 Assuming a constant-voltage-drop model for the diodes. TheBridgeRectifier. D4 D1 vo RL D2 D3 vi - + OperationinPositivehalfcycle D4 D1 + vi - OFF v o ON D2 RL ON + - OFF D3 PIVforbridgerectifier D4 D1 vo RL Assuming constant voltage drop model RL V DO vo + vi - + D2 D3 vD 3 (reverse) = vo + vDO D2 D3 Thus PIV = vi ( peak ) 2VDO + VDO = vi ( peak ) VDO OperationinNegativeHalfCycle D4 vo D1 RL vi ON - OFF + + OFF D2 ON D3 Centretappedtransformervsbridge rectifier What are the relative (dis)advantages of each? CT transfo: more complicated transformer diodes need higher PIV Bridge: 4 diodes instead of 2 Which is better? Are there sustainability / moral issues? Transformers Core made of steel q need for metal resources q recyclable but do we do so? Wire made of copper q often mined in poorer countries q working conditions often bad q but does earn income & foreign currency q recyclable as above SteadyStateWaveforms 2.00 V i 2V DO 1.00 Output voltage [V] 0.00 -1.00 Vo -2.00 0.00 10.00m 20.00m Time [s] 30.00m 40.00m DCPowerSupply:Filter DC Power Supply v s Diode Rectifier Filter Voltage Regulator v o Load FilterCircuit Filter Capacitor vi C v o R L CR >> T VoltageWaveformsforfullwaverectifier vi 2.00 V p Output 1.00 Output Ripple V r 0.00 -1.00 vo -2.00 0.00 10.00m 20.00m Time [s] 30.00m 40.00m T CapacitanceFilter At the end of the discharge period Vo Vr Vo e T / 2 CR Since CR >> T then T T / 2 CR e 1 2CR Giving Vo T Vr Vo = 2CR 2 fCR 1 where f is the frequency = T Example Consider a fullwave rectifier fed by a 50...

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