Controlled Rectifiers (Line Commutated AC to DC converters) Power Electronics Controlled Rectifiers (Line Commutated AC to DC converters) Power Electronics by Prof. M. Madhusudhan Rao 1

Type of input: Fixed voltage, fixed frequency ac power supply. Power Electronics Type of input: Fixed voltage, fixed frequency ac power supply. Type of output: Variable dc output voltage Type of commutation: Natural / AC line commutation Power Electronics by Prof. M. Madhusudhan Rao 2

Different types of Line Commutated Converters Power Electronics Different types of Line Commutated Converters AC to DC Converters (Phase controlled rectifiers) AC to AC converters (AC voltage controllers) AC to AC converters (Cyclo converters) at low output frequency. Power Electronics by Prof. M. Madhusudhan Rao 3

Differences Between Diode Rectifiers & Phase Controlled Rectifiers Power Electronics Differences Between Diode Rectifiers & Phase Controlled Rectifiers Power Electronics by Prof. M. Madhusudhan Rao 4

The diode rectifiers are referred to as uncontrolled rectifiers . Power Electronics The diode rectifiers are referred to as uncontrolled rectifiers . The diode rectifiers give a fixed dc output voltage . Each diode conducts for one half cycle. Diode conduction angle = 1800 or  radians. We can not control the dc output voltage or the average dc load current in a diode rectifier circuit. Power Electronics by Prof. M. Madhusudhan Rao 5

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Applications of Phase Controlled Rectifiers Power Electronics Applications of Phase Controlled Rectifiers DC motor control in steel mills, paper and textile mills employing dc motor drives. AC fed traction system using dc traction motor. Electro-chemical and electro-metallurgical processes. Magnet power supplies. Portable hand tool drives. Power Electronics by Prof. M. Madhusudhan Rao 7

Classification of Phase Controlled Rectifiers Power Electronics Classification of Phase Controlled Rectifiers Single Phase Controlled Rectifiers. Three Phase Controlled Rectifiers. Power Electronics by Prof. M. Madhusudhan Rao 8

Different types of Single Phase Controlled Rectifiers. Power Electronics Different types of Single Phase Controlled Rectifiers. Half wave controlled rectifiers. Full wave controlled rectifiers. Using a center tapped transformer. Full wave bridge circuit. Semi converter. Full converter. Power Electronics by Prof. M. Madhusudhan Rao 9

Different Types of Three Phase Controlled Rectifiers Power Electronics Different Types of Three Phase Controlled Rectifiers Half wave controlled rectifiers. Full wave controlled rectifiers. Semi converter (half controlled bridge converter). Full converter (fully controlled bridge converter). Power Electronics by Prof. M. Madhusudhan Rao 10

Principle of Phase Controlled Rectifier Operation Power Electronics Principle of Phase Controlled Rectifier Operation Power Electronics by Prof. M. Madhusudhan Rao 11

Single Phase Half-Wave Thyristor Converter with a Resistive Load Power Electronics Single Phase Half-Wave Thyristor Converter with a Resistive Load Power Electronics by Prof. M. Madhusudhan Rao 12

Supply Voltage Output Voltage Output (load) Current 13 Power Electronics Supply Voltage Output Voltage Output (load) Current Power Electronics by Prof. M. Madhusudhan Rao 13

Supply Voltage Thyristor Voltage 14 Power Electronics Supply Voltage Thyristor Voltage Power Electronics by Prof. M. Madhusudhan Rao 14

Equations 15 Power Electronics by Prof. M. Madhusudhan Rao

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Power Electronics To Derive an Expression for the Average (DC) Output Voltage Across The Load Power Electronics by Prof. M. Madhusudhan Rao 17

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Power Electronics Control Characteristic of Single Phase Half Wave Phase Controlled Rectifier with Resistive Load Power Electronics by Prof. M. Madhusudhan Rao 22

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Control Characteristic Power Electronics Control Characteristic Power Electronics by Prof. M. Madhusudhan Rao 25

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Power Electronics To Derive An Expression for the RMS Value of Output Voltage of a Single Phase Half Wave Controlled Rectifier With Resistive Load Power Electronics by Prof. M. Madhusudhan Rao 27

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Performance Parameters Of Phase Controlled Rectifiers Power Electronics Performance Parameters Of Phase Controlled Rectifiers Power Electronics by Prof. M. Madhusudhan Rao 31

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Single Phase Half Wave Controlled Rectifier With An RL Load Power Electronics Single Phase Half Wave Controlled Rectifier With An RL Load Power Electronics by Prof. M. Madhusudhan Rao 43

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Input Supply Voltage (Vs) & Thyristor (Output) Current Waveforms Power Electronics Input Supply Voltage (Vs) & Thyristor (Output) Current Waveforms Power Electronics by Prof. M. Madhusudhan Rao 45

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Output (Load) Voltage Waveform Power Electronics Output (Load) Voltage Waveform Power Electronics by Prof. M. Madhusudhan Rao 47

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Power Electronics To Derive An Expression For Average (DC) Load Voltage of a Single Half Wave Controlled Rectifier with RL Load Power Electronics by Prof. M. Madhusudhan Rao 54

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Effect of Load Inductance on the Output Power Electronics Effect of Load Inductance on the Output Power Electronics by Prof. M. Madhusudhan Rao 57

Average DC Load Current Power Electronics Average DC Load Current Power Electronics by Prof. M. Madhusudhan Rao 58

Power Electronics Single Phase Half Wave Controlled Rectifier With RL Load & Free Wheeling Diode Power Electronics by Prof. M. Madhusudhan Rao 59

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Power Electronics For Large Load Inductance the load current does not reach zero, & we obtain continuous load current Power Electronics by Prof. M. Madhusudhan Rao 64

Single Phase Half Wave Controlled Rectifier With A General Load Power Electronics Single Phase Half Wave Controlled Rectifier With A General Load Power Electronics by Prof. M. Madhusudhan Rao 65

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Equations 69 Power Electronics by Prof. M. Madhusudhan Rao

Expression for the Load Current Power Electronics Expression for the Load Current Power Electronics by Prof. M. Madhusudhan Rao 70

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To Derive An Expression For The Average Or DC Load Voltage Power Electronics To Derive An Expression For The Average Or DC Load Voltage Power Electronics by Prof. M. Madhusudhan Rao 74

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Power Electronics Single Phase Full Wave Controlled Rectifier Using A Center Tapped Transformer Power Electronics by Prof. M. Madhusudhan Rao 78

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Discontinuous Load Current Operation without FWD for Power Electronics Discontinuous Load Current Operation without FWD for Power Electronics by Prof. M. Madhusudhan Rao 80

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Power Electronics To Derive An Expression For The DC Output Voltage Of A Single Phase Full Wave Controlled Rectifier With RL Load (Without FWD) Power Electronics by Prof. M. Madhusudhan Rao 88

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Discontinuous Load Current Operation with FWD Power Electronics Discontinuous Load Current Operation with FWD Power Electronics by Prof. M. Madhusudhan Rao 93

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Power Electronics To Derive an Expression For The DC Output Voltage For A Single Phase Full Wave Controlled Rectifier With RL Load & FWD Power Electronics by Prof. M. Madhusudhan Rao 96

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Power Electronics The load current is discontinuous for low values of load inductance and for large values of trigger angles. For large values of load inductance the load current flows continuously without falling to zero. Generally the load current is continuous for large load inductance and for low trigger angles. Power Electronics by Prof. M. Madhusudhan Rao 98

Continuous Load Current Operation (Without FWD) Power Electronics Continuous Load Current Operation (Without FWD) Power Electronics by Prof. M. Madhusudhan Rao 99

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Power Electronics To Derive An Expression For Average / DC Output Voltage Of Single Phase Full Wave Controlled Rectifier For Continuous Current Operation without FWD Power Electronics by Prof. M. Madhusudhan Rao 101

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By plotting VO(dc) versus , Power Electronics By plotting VO(dc) versus , we obtain the control characteristic of a single phase full wave controlled rectifier with RL load for continuous load current operation without FWD Power Electronics by Prof. M. Madhusudhan Rao 105

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Power Electronics Drawbacks Of Full Wave Controlled Rectifier With Centre Tapped Transformer We require a centre tapped transformer which is quite heavier and bulky. Cost of the transformer is higher for the required dc output voltage & output power. Hence full wave bridge converters are preferred. Power Electronics by Prof. M. Madhusudhan Rao 110

Single Phase Full Wave Bridge Controlled Rectifier Power Electronics Single Phase Full Wave Bridge Controlled Rectifier 2 types of FW Bridge Controlled Rectifiers are Half Controlled Bridge Converter (Semi-Converter) Fully Controlled Bridge Converter (Full Converter) The bridge full wave controlled rectifier does not require a centre tapped transformer Power Electronics by Prof. M. Madhusudhan Rao 111

Power Electronics Single Phase Full Wave Half Controlled Bridge Converter (Single Phase Semi Converter) Power Electronics by Prof. M. Madhusudhan Rao 112

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Trigger Pattern of Thyristors Power Electronics Trigger Pattern of Thyristors Power Electronics by Prof. M. Madhusudhan Rao 114

Power Electronics Waveforms of single phase semi-converter with general load & FWD for  > 900 Power Electronics by Prof. M. Madhusudhan Rao 115

Single Quadrant Operation Power Electronics Single Quadrant Operation Power Electronics by Prof. M. Madhusudhan Rao 116

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Power Electronics Load Voltage & Load Current Waveform of Single Phase Semi Converter for  < 900 & Continuous load current operation Power Electronics by Prof. M. Madhusudhan Rao 120

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Power Electronics To Derive an Expression For The DC Output Voltage of A Single Phase Semi-Converter With R,L, & E Load & FWD For Continuous, Ripple Free Load Current Operation Power Electronics by Prof. M. Madhusudhan Rao 122

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RMS O/P Voltage VO(RMS) Power Electronics RMS O/P Voltage VO(RMS) Power Electronics by Prof. M. Madhusudhan Rao 125

Power Electronics Single Phase Full Wave Full Converter (Fully Controlled Bridge Converter) With R,L, & E Load Power Electronics by Prof. M. Madhusudhan Rao 126

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Power Electronics Waveforms of Single Phase Full Converter Assuming Continuous (Constant Load Current) & Ripple Free Load Current Power Electronics by Prof. M. Madhusudhan Rao 128

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Power Electronics To Derive An Expression For The Average DC Output Voltage of a Single Phase Full Converter assuming Continuous & Constant Load Current Power Electronics by Prof. M. Madhusudhan Rao 132

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By plotting VO(dc) versus , Power Electronics By plotting VO(dc) versus , we obtain the control characteristic of a single phase full wave fully controlled bridge converter (single phase full converter) for constant & continuous load current operation. Power Electronics by Prof. M. Madhusudhan Rao 137

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Controlled Rectifier Operation Power Electronics During the period from t =  to  the input voltage vS and the input current iS are both positive and the power flows from the supply to the load. The converter is said to be operated in the rectification mode Controlled Rectifier Operation for 0 <  < 900 Power Electronics by Prof. M. Madhusudhan Rao 141

Line Commutated Inverter Operation Power Electronics During the period from t =  to (+), the input voltage vS is negative and the input current iS is positive and the output power becomes negative and there will be reverse power flow from the load circuit to the supply. The converter is said to be operated in the inversion mode. Line Commutated Inverter Operation for 900 <  < 1800 Power Electronics by Prof. M. Madhusudhan Rao 142

Two Quadrant Operation of a Single Phase Full Converter Power Electronics Two Quadrant Operation of a Single Phase Full Converter 0< < 900 Controlled Rectifier Operation 900< <1800 Line Commutated Inverter Operation Power Electronics by Prof. M. Madhusudhan Rao 143

To Derive An Expression For The RMS Value Of The Output Voltage Power Electronics To Derive An Expression For The RMS Value Of The Output Voltage Power Electronics by Prof. M. Madhusudhan Rao 144

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Thyristor Current Waveforms Power Electronics Thyristor Current Waveforms Power Electronics by Prof. M. Madhusudhan Rao 149

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Single Phase Dual Converter Power Electronics Single Phase Dual Converter Power Electronics by Prof. M. Madhusudhan Rao 152

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To Obtain an Expression for the Instantaneous Circulating Current Power Electronics To Obtain an Expression for the Instantaneous Circulating Current Power Electronics by Prof. M. Madhusudhan Rao 159

vO1 = Instantaneous o/p voltage of converter 1. Power Electronics vO1 = Instantaneous o/p voltage of converter 1. vO2 = Instantaneous o/p voltage of converter 2. The circulating current ir can be determined by integrating the instantaneous voltage difference (which is the voltage drop across the circulating current reactor Lr), starting from t = (2 - 1). As the two average output voltages during the interval t = (+1) to (2 - 1) are equal and opposite their contribution to the instantaneous circulating current ir is zero. Power Electronics by Prof. M. Madhusudhan Rao 160

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The Dual Converter Can Be Operated In Two Different Modes Of Operation Power Electronics The Dual Converter Can Be Operated In Two Different Modes Of Operation Non-circulating current (circulating current free) mode of operation. Circulating current mode of operation. Power Electronics by Prof. M. Madhusudhan Rao 165

Non-Circulating Current Mode of Operation Power Electronics Non-Circulating Current Mode of Operation In this mode only one converter is operated at a time. When converter 1 is ON, 0 < 1 < 900 Vdc is positive and Idc is positive. When converter 2 is ON, 0 < 2 < 900 Vdc is negative and Idc is negative. Power Electronics by Prof. M. Madhusudhan Rao 166

Circulating Current Mode Of Operation Power Electronics Circulating Current Mode Of Operation In this mode, both the converters are switched ON and operated at the same time. The trigger angles 1 and 2 are adjusted such that (1 + 2) = 1800 ; 2 = (1800 - 1). Power Electronics by Prof. M. Madhusudhan Rao 167

In this case Vdc and Idc, both are positive. Power Electronics When 0 <1 <900, converter 1 operates as a controlled rectifier and converter 2 operates as an inverter with 900 <2<1800. In this case Vdc and Idc, both are positive. When 900 <1 <1800, converter 1 operates as an Inverter and converter 2 operated as a controlled rectifier by adjusting its trigger angle 2 such that 0 <2<900. In this case Vdc and Idc, both are negative. Power Electronics by Prof. M. Madhusudhan Rao 168

Four Quadrant Operation Power Electronics Four Quadrant Operation Conv. 2 Inverting 2 > 900 Conv. 1 Rectifying 1 < 900 Conv. 2 Rectifying 2 < 900 Conv. 1 Inverting 1 > 900 Power Electronics by Prof. M. Madhusudhan Rao 169

Advantages of Circulating Current Mode Of Operation Power Electronics Advantages of Circulating Current Mode Of Operation The circulating current maintains continuous conduction of both the converters over the complete control range, independent of the load. One converter always operates as a rectifier and the other converter operates as an inverter, the power flow in either direction at any time is possible. Power Electronics by Prof. M. Madhusudhan Rao 170

Power Electronics As both the converters are in continuous conduction we obtain faster dynamic response. i.e., the time response for changing from one quadrant operation to another is faster. Power Electronics by Prof. M. Madhusudhan Rao 171

Disadvantages of Circulating Current Mode Of Operation Power Electronics Disadvantages of Circulating Current Mode Of Operation There is always a circulating current flowing between the converters. When the load current falls to zero, there will be a circulating current flowing between the converters so we need to connect circulating current reactors in order to limit the peak circulating current to safe level. The converter thyristors should be rated to carry a peak current much greater than the peak load current. Power Electronics by Prof. M. Madhusudhan Rao 172