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Phase Controlled Rectifiers

M
maneesh001

Phase controlled rectifiers, using thyristors, allow controlled output voltage by adjusting the firing angle, which is crucial for applications like DC motor speed control. Several configurations of these rectifiers, such as single-phase and three-phase, with different load types, are explored. The document provides detailed operational insights, including conducting angles and waveforms for various rectifier types.

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MODULE 2 PHASE CONTROLLED RECTIFIER 2.1 Introduction Unlike diode rectifiers, phase controlled rectifiers has and advantage of controlling the output voltage. The diode rectifiers are called uncontrolled rectifiers. When these diodes are replaced with thyristors, then in becomes phase controlled rectifiers. The output voltagecan be controlled by varying the firing angle of the thyristors. These phase controlled rectifiers has its main application in speed control of DC motors. 2.2 Application  Steel rolling mills, paper mills, textile mills where speed control of DC motors are necessary.  Electric traction.  High voltage DC transmission  Electromagnet power supplies In this module, the following categories of phase controlled rectifiers will be studied in detail. 1. Single Phase Half Wave Controlled Rectifier with R Load. 2. Single Phase Half Wave Controlled Rectifier with RL Load. 3. Single Phase Half Wave Controlled Rectifier with RL Load and Freewheeling Diode. 4. Single Phase Full Wave Controlled Rectifier with R Load. 5. Single Phase Full Wave Controlled Rectifier with RL Load. 6. Single Phase Full Wave Controlled Rectifier with RL Load and Freewheeling Diode. 7. Single Phase Full Wave Half Controlled Rectifier (Semi Converter). 8. Three Phase Half Wave Controlled Rectifier. 9. Three Phase Full Wave Controlled Rectifier
2.3 Single Phase Half Wave Controlled Rectifier with R Load  The circuit consist of a thyristor T, a voltage source Vs and a resistive load R.  During the positive half cycle of the input voltage, the thyristor T is forward biased but it does not conduct until a gate signal is applied to it.  When a gate pulse is given to the thyristor T at ωt = α, it gets turned ON and begins to conduct.  When the thyristor is ON, the input voltage is applied to the load.  During the negative half cycle, the thyristor T gets reverse biased and gets tuned OFF.  So the load receives voltage only during the positive half cycle only.  The average value of output voltage can be varied by varying the firing angle α.  The waveform shows the plot of input voltage, gate current, output voltage, output current and voltage across thyristor.
Phase Controlled Rectifiers
2.4 Single Phase Half Wave Controlled Rectifier with RL Load  The circuit consist of a thyristor T, a voltage source Vs, an inductive load L and a resistive load R.  During the positive half cycle of the input voltage, the thyristor T is forward biased but it does not conduct until a gate signal is applied to it.  When a gate pulse is given to the thyristor T at ωt = α, it gets turned ON and begins to conduct.  When the thyristor is ON, the input voltage is applied to the load but due to the inductor present in the load, the current through the load builds up slowly.  During the negative half cycle, the thyristor T gets reverse biased but the current through the thyristors is not zero due to the inductor.  The current through the inductor slowly decays to zero and when the load current (i.e the current through the thyristor) falls below holding current, it gets turned off.  So here the thyristor will conduct for a few duration in the negative half cycle and turns off at ωt = β. The angle β is called extinction angle.  The duration from α to β is called conduction angle.  So the load receives voltage only during the positive half cycle and for a small duration in negative half cycle.  The average value of output voltage can be varied by varying the firing angle α.  The waveform shows the plot of input voltage, gate current, output voltage, output current and voltage across thyristor.
Phase Controlled Rectifiers
2.5 Single Phase Half Wave Controlled Rectifier with RL Load and Freewheeling Diode  The circuit consist of a thyristor T, a voltage source Vs, a diode FD across the RL load, an inductive load L and a resistive load R.  During the positive half cycle of the input voltage, the thyristor T is forward biased but it does not conduct until a gate signal is applied to it.  When a gate pulse is given to the thyristor T at ωt = α, it gets turned ON and begins to conduct.  When the thyristor is ON, the input voltage is applied to the load but due to the inductor present in the load, the current through the load builds up slowly.  During the negative half cycle, the thyristor T gets reverse biased. At this instant i.e at ωt = π, the load current shift its path from the thyristor to the freewheeling diode.  When the current is shifted from thyristor to freewheeling diode, the thyristor turns OFF.  The current through the inductor slowly decays to zero through the loop R- freewheeling diode-L.  So here the thyristor will not conduct in the negative half cycle and turns off at ωt = π.  So the load receives voltage only during the positive half cycle.  The average value of output voltage can be varied by varying the firing angle α.  The waveform shows the plot of input voltage, gate current, output voltage, output current and voltage across thyristor.
Phase Controlled Rectifiers
2.6 Single Phase Full Wave Controlled Rectifier with R Load  The circuit consist of four thyristors T1, T2, T3 and T4, a voltage source Vs and a R Load.  During the positive half cycle of the input voltage, the thyristors T1 & T2 is forward biased but it does not conduct until a gate signal is applied to it.  When a gate pulse is given to the thyristors T1 & T2 at ωt = α, it gets turned ON and begins to conduct.  When the T1 & T2 is ON, the input voltage is applied to the load through the path Vs- T1-Load-T2-Vs.  During the negative half cycle, T3 & T4 is forward biased, the thyristor T1 & T2 gets reverse biased and turns OFF  When a gate pulse is given to the thyristor T3 & T4 at ωt = π+α, it gets turned ON and begins to conduct.  When T3 & T4 is ON, the input voltage is applied to the load Vs-T3-Load-T4-Vs.  Here the load receives voltage during both the half cycles.  The average value of output voltage can be varied by varying the firing angle α.  The waveform shows the plot of input voltage, gate current, output voltage, output current and voltage across thyristor.
Phase Controlled Rectifiers
2.7 Single Phase Full Wave Controlled Rectifier with RL Load A. MID POINT CONVERTER  The circuit consist of two thyristors T1 and T2, a center tap transformer, a voltage source Vs and a RL Load.  During the positive half cycle of the input voltage, the thyristor T1 is forward biased but it does not conduct until a gate signal is applied to it.  When a gate pulse is given to the thyristor T1 at ωt = α, it gets turned ON and begins to conduct.  When the thyristor T1 is ON, the input voltage is applied to the load but due to the inductor present in the load, the current through the load builds up slowly through the path A-T1-Load-N-A.  During the negative half cycle, T2 is forward biased, the thyristor T1 gets reverse biased but the current through the thyristor T1 is not zero due to the inductor and T1 does not turns OFF  The current through the inductor begins to decay to zero and T1 conducts for a small duration in negative half cycle..  When a gate pulse is given to the thyristor T2 at ωt = π+α, it gets turned ON and begins to conduct.  When the thyristor T2 is ON, the load current shifts its path from the T1 to T2 and thyristor T1 turns OFF at ωt = π+α.  When T2 is ON, the current through the load builds up slowly through the path B-T2- Load-N-B.  So here both the thyristor will conduct for a few duration in the negative half cycle.  The load receives voltage during both the half cycles.  The average value of output voltage can be varied by varying the firing angle α.  The waveform shows the plot of input voltage, gate current, output voltage, output current and voltage across thyristor.
Phase Controlled Rectifiers
B. BRIDGE CONVERTER  The circuit consist of four thyristors T1, T2, T3 and T4, a voltage source Vs and a RL Load.  During the positive half cycle of the input voltage, the thyristors T1 & T2 is forward biased but it does not conduct until a gate signal is applied to it.  When a gate pulse is given to the thyristors T1 & T2 at ωt = α, it gets turned ON and begins to conduct.  When the T1 & T2 is ON, the input voltage is applied to the load but due to the inductor present in the load, the current through the load builds up slowly through the path Vs-T1-Load-T2-Vs.  During the negative half cycle, T3 & T4 is forward biased, the thyristor T1 & T2 gets reverse biased but the current through them is not zero due to the inductor and does not turns OFF  The current through the inductor begins to decay to zero and T1 & T2 conducts for a small duration in negative half cycle..  When a gate pulse is given to the thyristor T3 & T4 at ωt = π+α, it gets turned ON and begins to conduct.  When the thyristor T3 & T4 is ON, the load current shifts its path to T3 & T4 and turns OFF T1 & T2 at ωt = π+α.  When T3 & T4 is ON, the current through the load builds up slowly through the path Vs-T3-Load-T4-Vs.  So here all the thyristor will conduct for a few duration in the negative half cycle.  The load receives voltage during both the half cycles.  The average value of output voltage can be varied by varying the firing angle α.  The waveform shows the plot of input voltage, gate current, output voltage, output current and voltage across thyristor.
Phase Controlled Rectifiers
2.8 Single Phase Full Wave Controlled Rectifier with RL Load and Freewheeling Diode.  The circuit consist of four thyristors T1, T2, T3 and T4, a voltage source Vs, a RL Load and a freewheeling diode across the load.  During the positive half cycle of the input voltage, the thyristors T1 & T2 is forward biased but it does not conduct until a gate signal is applied to it.  When a gate pulse is given to the thyristors T1 & T2 at ωt = α, it gets turned ON and begins to conduct.  When the T1 & T2 is ON, the input voltage is applied to the load but due to the inductor present in the load, the current through the load builds up slowly through the path Vs-T1-Load-T2-Vs.  During the negative half cycle (at ωt = π), T3 & T4 is forward biased, the thyristor T1 & T2 gets reverse biased.  The current shifts its path to the freewheeling diode and circulates through the loop FD-R-L-FD.  Thus T1 & T2 turns off at ωt = π  When a gate pulse is given to the thyristor T3 & T4 at ωt = π+α, it gets turned ON and begins to conduct.  When T3 & T4 is ON, the current through the load builds up slowly through the path Vs-T3-Load-T4-Vs.  During the next positive half cycle (at ωt = 2π), T1 & T2 is forward biased, the thyristor T3 & T4 gets reverse biased.  The current shifts its path to the freewheeling diode and circulates through the loop FD-R-L-FD.  Thus T3 & T4 turns off at ωt = 2π  So here all the thyristor will conduct only in the positive half cycle.  The load receives voltage during both the half cycles.  The average value of output voltage can be varied by varying the firing angle α.  The waveform shows the plot of input voltage, gate current, output voltage, output current and voltage across thyristor
Phase Controlled Rectifiers
2.9 Single Phase Full Wave Half Controlled Rectifier (Semi Converter)  The circuit consist of two thyristors T1 & T2, two diodes D1 and D2, a voltage source Vs, a RL Load.  During the positive half cycle of the input voltage, the thyristors T1 & D1 is forward biased but it does not conduct until a gate signal is applied to T1.  When a gate pulse is given to the thyristors T1 at ωt = α, it gets turned ON and begins to conduct.  When the T1 & D1 is ON, the input voltage is applied to the load but due to the inductor present in the load, the current through the load builds up.  During the negative half cycle (at ωt = π), T2 & D2 is forward biased, the thyristor T1 & D1 gets reverse biased.  The current shifts its path to D2 and T1 in case of symmetrical converter (D1 & D2 in case of asymmetical converter) and circulates through the load.  When a gate pulse is given to the thyristor T2 at ωt = π+α, it gets turned ON and begins to conduct.  When T2 & D2 is ON, the current through the load builds up.  During the next positive half cycle (at ωt = 2π), T1 & D1 is forward biased, the thyristor T2 & D2 gets reverse biased.  The current shifts its path to D1 and T2 in case of symmetrical converter (D1 & D2 in case of asymmetical converter) and circulates through the load.  The load receives voltage during both the half cycles.  The average value of output voltage can be varied by varying the firing angle α.  The waveform shows the plot of input voltage, gate current, output voltage, output current and voltage across thyristor.
Phase Controlled Rectifiers
Phase Controlled Rectifiers
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PERFORMANCE PARAMETER OF TWO PULSE CONVERTERS 1. SINGLE PHASE FULL CONVERTER The instantaneous value of current in given by is(t) = The current attains its max value when = 1. Therefore, Inmax = RMS value of the n component is given by, Isn = = = RMS value of fundamental current, IS1 is given by, Is1 = = 0.00932 Io RMS value of total input current, IS is given by Displacement factor is given by DF = cos α Displacement factor is the measure of displacing in current and voltage with respect to time. Power Factor, PF = DF × CDF
Harmonic factor, HF indicates the amount of harmonics present in the output. It is also called THD, Total Harmonic Distortion. It is given by Voltage ripple factor is given by VRF = Where Vor is the RMS value of output voltage of single phase fullwave rectifier and Vo is the average output voltage of single phase fullware rectifier. Substituting the expression of Vor and Vo in the above equations we get, Active Power Input is given by, Pi = rms value of source voltage × rms fundamental component of source current × displacement factor Reactive power Qi is given by,
2. SINGLE PHASE SEMI CONVERTER The instantaneous value of current in given by RMS value of nth harmonic current component is given by RMS fundamental current component is given by RMS value of total input current, IS is given by Displacement factor is given by DF = cos Current Distortion Factor, CDF is given by Power Factor, PF = DF × CDF Harmonic factor, HF indicates the amount of harmonics present in the output. It is also called THD, Total Harmonic Distortion. It is given by
Voltage ripple factor is given by, Where Vor is the RMS value of output voltage of single phase semi converter and Vo is the average output voltage of single phase semi converter. Active Power Input is given by Pi = VO IO Reactive Power Input is given by Qi = VO IO tan
Circuit Diagram and Waveform of 3 Phase Half Controlled Rectifier with R Load
Circuit Diagram and Waveform of 3 Phase Half Controlled Rectifier with R Load  The circuit consist of a delta star transformer and 3 thyristors T1, T2, T3 which are connected on the secondary star connected winding and a resistive load.  When Va is positive, T1 becomes forward biased and conducts. During the negative cycle of Va, T1 turns off.  Similarly T2 and T3 conducts only during the positive cycles of Vb and Vc respectively.  The average output voltage can be varied by varying the firing angles of the thyristors.  The waveforms shows the output voltage for various firing angles.  In the waveform, Va is denoted as Van, Vb as Vbn, Vc as Vcn.
Circuit Diagram and Waveform of 3 Phase Half Controlled Rectifier with RL Load
Circuit Diagram and Waveform of 3 Phase Half Controlled Rectifier with RL Load  The circuit consist of a delta star transformer and 3 thyristors T1, T2, T3 which are connected on the secondary star connected winding and a RL load.  When Va is positive, T1 becomes forward biased and conducts. During the negative cycle of Va, the current through T1 is not zero due to inductor present in the load.  So T1 will remain ON during the negative cycle of Va  When Vb is positive, T2 is triggered and the load current gets transferred from T1 to T2. At this instant, T1 turns OFF.  During the negative cycle of Vb, the current through T2 is not zero due to inductor present in the load.  So T2 will remain ON during the negative cycle of Vb  When T3 is triggered during positive cycle of Vc, the load current is transferred from T2 to T3. At this instant, T2 turns OFF  Similarly T3 conducts during the negative cycle of Vc and turns OFF when T1 is triggered.  The average output voltage can be varied by varying the firing angles of the thyristors.  The waveforms shows the output voltage for various firing angles.  In the waveform, Va is denoted as Van, Vb as Vbn, Vc as Vcn.
Circuit Diagram and Waveform of 3 Phase Full Controlled Rectifier with RL Load  The circuit consist of 6 thyristors, T1, T2, T3, T4, T5, T6, a three phase supply and a RL load.  The thyristors T1, T3, T5 form the positive group.  The thyristors T4, T6, T2 form the negative group.  Thyristors T1, T3, T4, T6 produces the full wave recitified output of Vab across the load.  Thyristors T3, T5, T6, T2 produces the full wave recitified output of Vbc across the load.  Thyristors T1, T5, T4, T2 produces the full wave recitified output of Vca across the load.  All these 3 outputs are given simultaneously to the same RL load. The effect is that all the 3 individual output mentioned above gets superimposed on each other to get the final output.  The waveform of the output for different firing angles are shown below.  The average output voltage can be varied by varying the firing angle.  For firing angle < 90, the circuit works as rectifier.  For firing angle > 90, the circuit works as Line commutated inverter.
Phase Controlled Rectifiers

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Phase Controlled Rectifiers

  • 1. MODULE 2 PHASE CONTROLLED RECTIFIER 2.1 Introduction Unlike diode rectifiers, phase controlled rectifiers has and advantage of controlling the output voltage. The diode rectifiers are called uncontrolled rectifiers. When these diodes are replaced with thyristors, then in becomes phase controlled rectifiers. The output voltagecan be controlled by varying the firing angle of the thyristors. These phase controlled rectifiers has its main application in speed control of DC motors. 2.2 Application  Steel rolling mills, paper mills, textile mills where speed control of DC motors are necessary.  Electric traction.  High voltage DC transmission  Electromagnet power supplies In this module, the following categories of phase controlled rectifiers will be studied in detail. 1. Single Phase Half Wave Controlled Rectifier with R Load. 2. Single Phase Half Wave Controlled Rectifier with RL Load. 3. Single Phase Half Wave Controlled Rectifier with RL Load and Freewheeling Diode. 4. Single Phase Full Wave Controlled Rectifier with R Load. 5. Single Phase Full Wave Controlled Rectifier with RL Load. 6. Single Phase Full Wave Controlled Rectifier with RL Load and Freewheeling Diode. 7. Single Phase Full Wave Half Controlled Rectifier (Semi Converter). 8. Three Phase Half Wave Controlled Rectifier. 9. Three Phase Full Wave Controlled Rectifier
  • 2. 2.3 Single Phase Half Wave Controlled Rectifier with R Load  The circuit consist of a thyristor T, a voltage source Vs and a resistive load R.  During the positive half cycle of the input voltage, the thyristor T is forward biased but it does not conduct until a gate signal is applied to it.  When a gate pulse is given to the thyristor T at ωt = α, it gets turned ON and begins to conduct.  When the thyristor is ON, the input voltage is applied to the load.  During the negative half cycle, the thyristor T gets reverse biased and gets tuned OFF.  So the load receives voltage only during the positive half cycle only.  The average value of output voltage can be varied by varying the firing angle α.  The waveform shows the plot of input voltage, gate current, output voltage, output current and voltage across thyristor.
  • 4. 2.4 Single Phase Half Wave Controlled Rectifier with RL Load  The circuit consist of a thyristor T, a voltage source Vs, an inductive load L and a resistive load R.  During the positive half cycle of the input voltage, the thyristor T is forward biased but it does not conduct until a gate signal is applied to it.  When a gate pulse is given to the thyristor T at ωt = α, it gets turned ON and begins to conduct.  When the thyristor is ON, the input voltage is applied to the load but due to the inductor present in the load, the current through the load builds up slowly.  During the negative half cycle, the thyristor T gets reverse biased but the current through the thyristors is not zero due to the inductor.  The current through the inductor slowly decays to zero and when the load current (i.e the current through the thyristor) falls below holding current, it gets turned off.  So here the thyristor will conduct for a few duration in the negative half cycle and turns off at ωt = β. The angle β is called extinction angle.  The duration from α to β is called conduction angle.  So the load receives voltage only during the positive half cycle and for a small duration in negative half cycle.  The average value of output voltage can be varied by varying the firing angle α.  The waveform shows the plot of input voltage, gate current, output voltage, output current and voltage across thyristor.
  • 6. 2.5 Single Phase Half Wave Controlled Rectifier with RL Load and Freewheeling Diode  The circuit consist of a thyristor T, a voltage source Vs, a diode FD across the RL load, an inductive load L and a resistive load R.  During the positive half cycle of the input voltage, the thyristor T is forward biased but it does not conduct until a gate signal is applied to it.  When a gate pulse is given to the thyristor T at ωt = α, it gets turned ON and begins to conduct.  When the thyristor is ON, the input voltage is applied to the load but due to the inductor present in the load, the current through the load builds up slowly.  During the negative half cycle, the thyristor T gets reverse biased. At this instant i.e at ωt = π, the load current shift its path from the thyristor to the freewheeling diode.  When the current is shifted from thyristor to freewheeling diode, the thyristor turns OFF.  The current through the inductor slowly decays to zero through the loop R- freewheeling diode-L.  So here the thyristor will not conduct in the negative half cycle and turns off at ωt = π.  So the load receives voltage only during the positive half cycle.  The average value of output voltage can be varied by varying the firing angle α.  The waveform shows the plot of input voltage, gate current, output voltage, output current and voltage across thyristor.
  • 8. 2.6 Single Phase Full Wave Controlled Rectifier with R Load  The circuit consist of four thyristors T1, T2, T3 and T4, a voltage source Vs and a R Load.  During the positive half cycle of the input voltage, the thyristors T1 & T2 is forward biased but it does not conduct until a gate signal is applied to it.  When a gate pulse is given to the thyristors T1 & T2 at ωt = α, it gets turned ON and begins to conduct.  When the T1 & T2 is ON, the input voltage is applied to the load through the path Vs- T1-Load-T2-Vs.  During the negative half cycle, T3 & T4 is forward biased, the thyristor T1 & T2 gets reverse biased and turns OFF  When a gate pulse is given to the thyristor T3 & T4 at ωt = π+α, it gets turned ON and begins to conduct.  When T3 & T4 is ON, the input voltage is applied to the load Vs-T3-Load-T4-Vs.  Here the load receives voltage during both the half cycles.  The average value of output voltage can be varied by varying the firing angle α.  The waveform shows the plot of input voltage, gate current, output voltage, output current and voltage across thyristor.
  • 10. 2.7 Single Phase Full Wave Controlled Rectifier with RL Load A. MID POINT CONVERTER  The circuit consist of two thyristors T1 and T2, a center tap transformer, a voltage source Vs and a RL Load.  During the positive half cycle of the input voltage, the thyristor T1 is forward biased but it does not conduct until a gate signal is applied to it.  When a gate pulse is given to the thyristor T1 at ωt = α, it gets turned ON and begins to conduct.  When the thyristor T1 is ON, the input voltage is applied to the load but due to the inductor present in the load, the current through the load builds up slowly through the path A-T1-Load-N-A.  During the negative half cycle, T2 is forward biased, the thyristor T1 gets reverse biased but the current through the thyristor T1 is not zero due to the inductor and T1 does not turns OFF  The current through the inductor begins to decay to zero and T1 conducts for a small duration in negative half cycle..  When a gate pulse is given to the thyristor T2 at ωt = π+α, it gets turned ON and begins to conduct.  When the thyristor T2 is ON, the load current shifts its path from the T1 to T2 and thyristor T1 turns OFF at ωt = π+α.  When T2 is ON, the current through the load builds up slowly through the path B-T2- Load-N-B.  So here both the thyristor will conduct for a few duration in the negative half cycle.  The load receives voltage during both the half cycles.  The average value of output voltage can be varied by varying the firing angle α.  The waveform shows the plot of input voltage, gate current, output voltage, output current and voltage across thyristor.
  • 12. B. BRIDGE CONVERTER  The circuit consist of four thyristors T1, T2, T3 and T4, a voltage source Vs and a RL Load.  During the positive half cycle of the input voltage, the thyristors T1 & T2 is forward biased but it does not conduct until a gate signal is applied to it.  When a gate pulse is given to the thyristors T1 & T2 at ωt = α, it gets turned ON and begins to conduct.  When the T1 & T2 is ON, the input voltage is applied to the load but due to the inductor present in the load, the current through the load builds up slowly through the path Vs-T1-Load-T2-Vs.  During the negative half cycle, T3 & T4 is forward biased, the thyristor T1 & T2 gets reverse biased but the current through them is not zero due to the inductor and does not turns OFF  The current through the inductor begins to decay to zero and T1 & T2 conducts for a small duration in negative half cycle..  When a gate pulse is given to the thyristor T3 & T4 at ωt = π+α, it gets turned ON and begins to conduct.  When the thyristor T3 & T4 is ON, the load current shifts its path to T3 & T4 and turns OFF T1 & T2 at ωt = π+α.  When T3 & T4 is ON, the current through the load builds up slowly through the path Vs-T3-Load-T4-Vs.  So here all the thyristor will conduct for a few duration in the negative half cycle.  The load receives voltage during both the half cycles.  The average value of output voltage can be varied by varying the firing angle α.  The waveform shows the plot of input voltage, gate current, output voltage, output current and voltage across thyristor.
  • 14. 2.8 Single Phase Full Wave Controlled Rectifier with RL Load and Freewheeling Diode.  The circuit consist of four thyristors T1, T2, T3 and T4, a voltage source Vs, a RL Load and a freewheeling diode across the load.  During the positive half cycle of the input voltage, the thyristors T1 & T2 is forward biased but it does not conduct until a gate signal is applied to it.  When a gate pulse is given to the thyristors T1 & T2 at ωt = α, it gets turned ON and begins to conduct.  When the T1 & T2 is ON, the input voltage is applied to the load but due to the inductor present in the load, the current through the load builds up slowly through the path Vs-T1-Load-T2-Vs.  During the negative half cycle (at ωt = π), T3 & T4 is forward biased, the thyristor T1 & T2 gets reverse biased.  The current shifts its path to the freewheeling diode and circulates through the loop FD-R-L-FD.  Thus T1 & T2 turns off at ωt = π  When a gate pulse is given to the thyristor T3 & T4 at ωt = π+α, it gets turned ON and begins to conduct.  When T3 & T4 is ON, the current through the load builds up slowly through the path Vs-T3-Load-T4-Vs.  During the next positive half cycle (at ωt = 2π), T1 & T2 is forward biased, the thyristor T3 & T4 gets reverse biased.  The current shifts its path to the freewheeling diode and circulates through the loop FD-R-L-FD.  Thus T3 & T4 turns off at ωt = 2π  So here all the thyristor will conduct only in the positive half cycle.  The load receives voltage during both the half cycles.  The average value of output voltage can be varied by varying the firing angle α.  The waveform shows the plot of input voltage, gate current, output voltage, output current and voltage across thyristor
  • 16. 2.9 Single Phase Full Wave Half Controlled Rectifier (Semi Converter)  The circuit consist of two thyristors T1 & T2, two diodes D1 and D2, a voltage source Vs, a RL Load.  During the positive half cycle of the input voltage, the thyristors T1 & D1 is forward biased but it does not conduct until a gate signal is applied to T1.  When a gate pulse is given to the thyristors T1 at ωt = α, it gets turned ON and begins to conduct.  When the T1 & D1 is ON, the input voltage is applied to the load but due to the inductor present in the load, the current through the load builds up.  During the negative half cycle (at ωt = π), T2 & D2 is forward biased, the thyristor T1 & D1 gets reverse biased.  The current shifts its path to D2 and T1 in case of symmetrical converter (D1 & D2 in case of asymmetical converter) and circulates through the load.  When a gate pulse is given to the thyristor T2 at ωt = π+α, it gets turned ON and begins to conduct.  When T2 & D2 is ON, the current through the load builds up.  During the next positive half cycle (at ωt = 2π), T1 & D1 is forward biased, the thyristor T2 & D2 gets reverse biased.  The current shifts its path to D1 and T2 in case of symmetrical converter (D1 & D2 in case of asymmetical converter) and circulates through the load.  The load receives voltage during both the half cycles.  The average value of output voltage can be varied by varying the firing angle α.  The waveform shows the plot of input voltage, gate current, output voltage, output current and voltage across thyristor.
  • 19. Fbf, {, sow.o r*pdo* o^ r{, ,"l eonw*e^. So F" ,.^^ ho* r[rclr.J .l *$*.U d lodr.h* o"c] o^ olp Lu',e^l ok -l*U L br5 b Yba'. ln 4ure (asu/ t+' $-poJp" { Jow@ tJot b1.0," +D }p O , No"' (}^ t i co.*,,'do, N vn"ki3 L t{ br wcpq ronuu-lo, ud}-t {1r- tDaal , olut uil/'' o^ tndrc'hv. b"Fdo,"" aF Jowcn st&. Ct'ns"clo^r o A .N eo^,,eAe" or .(hot,", tob, , Lt $. ,lp ridu&* L Ls . aR boA u,r"*J ir 0r.l rlt'q,l .1" h ccn,l-,,"u,r.nrr d." 1" lo}y i d*rch^ *cod, ci"ud[ "t1.,-* blo,0r lr t v0 I I L V lL b Ls I l1 -*vo-+{+ -TA ey"lr,+
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  • 22. ln biBur / bR th tua S#, vu b, olr wlEV V cr^{,.'clU e^ly {,$ o=b[s,^ u,t cl,,l-nJ J+r.r 3-tl NLJ BtO o: }qf*r4 co-r QlTL .: r* So t "t 1" -{i-! -:-::- . € nO h' e*rD, IVu*' *rr) uv,e.t^ g" .rgdS6ilt&^ du"1 y o,F -J' r t ^ld, I h :n-, qJ^ Lw,-i-; " ep.^loJ ci.c-$. Afps Rvr- ,l', N lup ABtoe ' b) , -L, N = Vu - t" glif du db. i, bo' h" crb. -'{ ---? o' furtrr^q h aQ *--> )fr* orv "1, T I *T r, 1 d+u tl tl+l?-q/ I It ( v* vro^u"J. _ = V.., Jt'nol) Si* D^r) urw^$ ir il, * cli' T'a; b cdl-4J ,tt
  • 23. dil-S O*O t r. pd. ,g u^ q^ I di' = V' sio#' "4 @ dl Larn. arr J-o { o blc * J.. ? k*,.'.b"4 J r*it t^,,S = ,l,t r-r .) .',(;; **r It5 i -f,o="F [** car z(:yl ,o 'klc"s "t cor g-^{ i, r vtlvie" h^ Jfr* t ( rin uh dt, -J -Lt^, o ," T, aryi o 'l'€otD
  • 24. PERFORMANCE PARAMETER OF TWO PULSE CONVERTERS 1. SINGLE PHASE FULL CONVERTER The instantaneous value of current in given by is(t) = The current attains its max value when = 1. Therefore, Inmax = RMS value of the n component is given by, Isn = = = RMS value of fundamental current, IS1 is given by, Is1 = = 0.00932 Io RMS value of total input current, IS is given by Displacement factor is given by DF = cos α Displacement factor is the measure of displacing in current and voltage with respect to time. Power Factor, PF = DF × CDF
  • 25. Harmonic factor, HF indicates the amount of harmonics present in the output. It is also called THD, Total Harmonic Distortion. It is given by Voltage ripple factor is given by VRF = Where Vor is the RMS value of output voltage of single phase fullwave rectifier and Vo is the average output voltage of single phase fullware rectifier. Substituting the expression of Vor and Vo in the above equations we get, Active Power Input is given by, Pi = rms value of source voltage × rms fundamental component of source current × displacement factor Reactive power Qi is given by,
  • 26. 2. SINGLE PHASE SEMI CONVERTER The instantaneous value of current in given by RMS value of nth harmonic current component is given by RMS fundamental current component is given by RMS value of total input current, IS is given by Displacement factor is given by DF = cos Current Distortion Factor, CDF is given by Power Factor, PF = DF × CDF Harmonic factor, HF indicates the amount of harmonics present in the output. It is also called THD, Total Harmonic Distortion. It is given by
  • 27. Voltage ripple factor is given by, Where Vor is the RMS value of output voltage of single phase semi converter and Vo is the average output voltage of single phase semi converter. Active Power Input is given by Pi = VO IO Reactive Power Input is given by Qi = VO IO tan
  • 28. Circuit Diagram and Waveform of 3 Phase Half Controlled Rectifier with R Load
  • 29. Circuit Diagram and Waveform of 3 Phase Half Controlled Rectifier with R Load  The circuit consist of a delta star transformer and 3 thyristors T1, T2, T3 which are connected on the secondary star connected winding and a resistive load.  When Va is positive, T1 becomes forward biased and conducts. During the negative cycle of Va, T1 turns off.  Similarly T2 and T3 conducts only during the positive cycles of Vb and Vc respectively.  The average output voltage can be varied by varying the firing angles of the thyristors.  The waveforms shows the output voltage for various firing angles.  In the waveform, Va is denoted as Van, Vb as Vbn, Vc as Vcn.
  • 30. Circuit Diagram and Waveform of 3 Phase Half Controlled Rectifier with RL Load
  • 31. Circuit Diagram and Waveform of 3 Phase Half Controlled Rectifier with RL Load  The circuit consist of a delta star transformer and 3 thyristors T1, T2, T3 which are connected on the secondary star connected winding and a RL load.  When Va is positive, T1 becomes forward biased and conducts. During the negative cycle of Va, the current through T1 is not zero due to inductor present in the load.  So T1 will remain ON during the negative cycle of Va  When Vb is positive, T2 is triggered and the load current gets transferred from T1 to T2. At this instant, T1 turns OFF.  During the negative cycle of Vb, the current through T2 is not zero due to inductor present in the load.  So T2 will remain ON during the negative cycle of Vb  When T3 is triggered during positive cycle of Vc, the load current is transferred from T2 to T3. At this instant, T2 turns OFF  Similarly T3 conducts during the negative cycle of Vc and turns OFF when T1 is triggered.  The average output voltage can be varied by varying the firing angles of the thyristors.  The waveforms shows the output voltage for various firing angles.  In the waveform, Va is denoted as Van, Vb as Vbn, Vc as Vcn.
  • 32. Circuit Diagram and Waveform of 3 Phase Full Controlled Rectifier with RL Load  The circuit consist of 6 thyristors, T1, T2, T3, T4, T5, T6, a three phase supply and a RL load.  The thyristors T1, T3, T5 form the positive group.  The thyristors T4, T6, T2 form the negative group.  Thyristors T1, T3, T4, T6 produces the full wave recitified output of Vab across the load.  Thyristors T3, T5, T6, T2 produces the full wave recitified output of Vbc across the load.  Thyristors T1, T5, T4, T2 produces the full wave recitified output of Vca across the load.  All these 3 outputs are given simultaneously to the same RL load. The effect is that all the 3 individual output mentioned above gets superimposed on each other to get the final output.  The waveform of the output for different firing angles are shown below.  The average output voltage can be varied by varying the firing angle.  For firing angle < 90, the circuit works as rectifier.  For firing angle > 90, the circuit works as Line commutated inverter.