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PN-Junction Diode Characteristics Forward Bias --- External battery makes the Anode more positive than the Cathode --- Current flows in the direction of the arrow in the symbol. Reverse Bias --- External battery makes the Cathode more positive than the Anode --- A tiny current flows opposite to the arrow in the symbol. ECE 442 Power Electronics 1 Graphical PN-Junction Diode V-I Characteristic Forward Bias Region Reverse Bias Region Reverse breakdown ECE 442 Power Electronics 2 Mathematical Approximation ID =Is (e ECE 442 Power Electronics VD ηVT -1) 3 Ideal PN Junction Diode V-I Characteristic Forward Bias – Short Circuit Reverse Bias – Open Circuit ECE 442 Power Electronics 4 Diode Reverse Recovery Time ta is the time to remove the charge stored in the depletion region of the junction tb is the time to remove the charge stored in the bulk semiconductor material ECE 442 Power Electronics 5 Reverse Recovery Characteristics Soft Recovery Reverse recovery time = trr = ta+tb Peak Reverse Current = IRR = ta(di/dt) ECE 442 Power Electronics 6 Reverse Recovery Characteristics Abrupt Recovery Reverse recovery time = trr = ta+tb Peak Reverse Current = IRR = ta(di/dt) ECE 442 Power Electronics 7 Series-Connected Diodes • Use 2 diodes in series to withstand higher reverse breakdown voltage. • Both diodes conduct the same reverse saturation current, Is. ECE 442 Power Electronics 8 Diode Characteristics • Due to differences between devices, each diode has a different voltage across it. • Would like to “Equalize” the voltages. ECE 442 Power Electronics 9 Series-Connected Diodes with Voltage Sharing Resistors ECE 442 Power Electronics 10 Series-Connected Diodes with Voltage Sharing Resistors ECE 442 Power Electronics 11 Series-Connected Diodes with Voltage Sharing Resistors • Is = Is1+IR1 = Is2+IR2 • IR1 = VD1/R1 • IR2 = VD2/R2 = VD1/R2 • • • • Is1+VD1/R1 = IS2+VD1/R2 Let R = R1 = R2 Is1 + VD1/R = Is2 +VD2/R VD1 + VD2 = Vs ECE 442 Power Electronics 12 Example 2.3 • Is1 = 30mA, Is2 = 35mA • VD = 5kV • (a) – R1=R2=R=100kΩ, find VD1 and VD2 • (b) – Find R1 and R2 for VD1=VD2=VD/2 ECE 442 Power Electronics 13 Example 2.3 (a) Is1 = 30mA Is2 = 35mA R1 = R 2 = R = 100kΩ -VD = -VD1 - VD2 VD2 = VD - VD1 VD1 VD2 Is1 + = Is2 + R R VD R VD1 = + (IS2 -IS1 ) 2 2 5kV 100k VD1 = + (35Χ10-3 - 30Χ10-3 ) = 2750Volts 2 2 VD2 = VD - VD1 = 5kV - 2750 = 2250Volts ECE 442 Power Electronics 14 Example 2.3 (a) simulation R1 100kOhm + U1 -2.727k V DC 1MOhm - D1 DIODE_VIRTUAL* V1 5000 V R2 100kOhm + - U2 -2.273k V DC 1MOhm D2 DIODE_VIRTUAL** ECE 442 Power Electronics 15 Example 2.3 (b) Is1 = 30mA Is2 = 35mA VD = 2.5kV 2 V V Is1 + D1 = Is2 + D2 R1 R2 VD1 = VD2 = R2 = VD2R1 VD1 - R1(Is2 -Is1 ) R1 = 100kΩ 2.5kVΧ100kΩ 2.5kV -100kΩΧ(35Χ10-3 - 30Χ10-3 ) R2 = 125kΩ R2 = ECE 442 Power Electronics 16 Example 2.3 (b) simulation R1 100kOhm + U1 -2.500k V DC 1MOhm - D1 DIODE_VIRTUAL* V1 5000 V R2 125kOhm + - U2 -2.500k V DC 1MOhm D2 DIODE_VIRTUAL** ECE 442 Power Electronics 17