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Page 1 Form factor ? or o V FF V or V : rms value of output voltage. o V : Average value of output voltage. Ripple Factor RF = 2 FF 1 ? Distortion factor ? 01 or V DF V 01 V : rms value of fundamental components of o V or V : rms value of output voltage. Total harmonic Distortion ?? 2 1 THD 1 DF Single phase half wave uncontrolled rectifier R – load RL – Load L – Load O V m V ? ? ? m V 1 cos 2 ?? ? 0 O I m V R ? ? ? m V 1 cos 2R ?? ? ? m V L ? ? ? ? ? ? ? 2 ? ? ? O I max 2 ? ? ? , 2 ? ? ? ? = Extinction angle, Angle at which ? goes to zero. ? If a free-wheeling diode is connected across the load (RL) that behaves as R-load as output voltage goes to zero after ? ? ? t when FD conducts. Page 2 Form factor ? or o V FF V or V : rms value of output voltage. o V : Average value of output voltage. Ripple Factor RF = 2 FF 1 ? Distortion factor ? 01 or V DF V 01 V : rms value of fundamental components of o V or V : rms value of output voltage. Total harmonic Distortion ?? 2 1 THD 1 DF Single phase half wave uncontrolled rectifier R – load RL – Load L – Load O V m V ? ? ? m V 1 cos 2 ?? ? 0 O I m V R ? ? ? m V 1 cos 2R ?? ? ? m V L ? ? ? ? ? ? ? 2 ? ? ? O I max 2 ? ? ? , 2 ? ? ? ? = Extinction angle, Angle at which ? goes to zero. ? If a free-wheeling diode is connected across the load (RL) that behaves as R-load as output voltage goes to zero after ? ? ? t when FD conducts. Single phase half wave controlled rectifier i) R – load ? ? ? ? ? ? ? ? ? m O avg V V 1 cos 2 ? ? ? ? ? ? ? ? ? m O avg V I 1 cos 2R ? ? ? ?? ? ? ? ? ? ? ?? ? ?? 2 m or V sin2 V 42 ? Input power factor = ? 2 or or S S S V R V V I V ? m S V V 2 ? a = firing angle ii) R – L load ? ? ? ? ? ? ? ? ? ? m o avg V V cos cos 2 ? ? ? ? ? ? ? ? ? ? m o avg V I cos cos 2R ? ? ? ? ? ? ? ? ? ? ? ? ? ? m or V 1 V sin2 sin2 2 2 ? Circuit turn off time, ? ? ? ? ? ? ? c 2 t Single phase full – wave rectifier Page 3 Form factor ? or o V FF V or V : rms value of output voltage. o V : Average value of output voltage. Ripple Factor RF = 2 FF 1 ? Distortion factor ? 01 or V DF V 01 V : rms value of fundamental components of o V or V : rms value of output voltage. Total harmonic Distortion ?? 2 1 THD 1 DF Single phase half wave uncontrolled rectifier R – load RL – Load L – Load O V m V ? ? ? m V 1 cos 2 ?? ? 0 O I m V R ? ? ? m V 1 cos 2R ?? ? ? m V L ? ? ? ? ? ? ? 2 ? ? ? O I max 2 ? ? ? , 2 ? ? ? ? = Extinction angle, Angle at which ? goes to zero. ? If a free-wheeling diode is connected across the load (RL) that behaves as R-load as output voltage goes to zero after ? ? ? t when FD conducts. Single phase half wave controlled rectifier i) R – load ? ? ? ? ? ? ? ? ? m O avg V V 1 cos 2 ? ? ? ? ? ? ? ? ? m O avg V I 1 cos 2R ? ? ? ?? ? ? ? ? ? ? ?? ? ?? 2 m or V sin2 V 42 ? Input power factor = ? 2 or or S S S V R V V I V ? m S V V 2 ? a = firing angle ii) R – L load ? ? ? ? ? ? ? ? ? ? m o avg V V cos cos 2 ? ? ? ? ? ? ? ? ? ? m o avg V I cos cos 2R ? ? ? ? ? ? ? ? ? ? ? ? ? ? m or V 1 V sin2 sin2 2 2 ? Circuit turn off time, ? ? ? ? ? ? ? c 2 t Single phase full – wave rectifier 1 ?? full converter 1 ?? Semi converter O V ? ? m 2V cos ? ? ?? ? m V 1 cos S1 I o 22 I ? ? ? O 22 I cos 2 S I o I ? ? ? ? O I DF 22 ? ? ? ? ? ? ? ? 22 cos 2 DPF ? cos ? cos 2 IPF ? ? 22 cos ? ? ? ? ?? ? ? ? ? 2 1 cos DPF: Displacement power factor = ? ? S S1 cos angle b w V & I S1 I = fundamental components of S I IPF: Input power factor IPF = DPF x DF DF: Distortion factor In case of continuous conductions, outgoing thyristors stop conduction before incoming thyristor start Load 1 ?? Full converter 1 ?? Semi – converter R – load ? ? ? ? ? ? m o V V 1 cos ? ? ? ? ? ? m o V V 1 cos R – L load ? ? ? ? ? ? ? m o V V cos cos ? ? ? ? ? ? m o V V 1 cos RLE – load ? ? ? ? ?? ? ? ? ? ? ? ? ? ? ? ?? ? ?? m o V V cos cos E ? ? ? ? ?? ? ? ? ? ? ? ? ? ? ?? ? om 1 V V 1 cos E Page 4 Form factor ? or o V FF V or V : rms value of output voltage. o V : Average value of output voltage. Ripple Factor RF = 2 FF 1 ? Distortion factor ? 01 or V DF V 01 V : rms value of fundamental components of o V or V : rms value of output voltage. Total harmonic Distortion ?? 2 1 THD 1 DF Single phase half wave uncontrolled rectifier R – load RL – Load L – Load O V m V ? ? ? m V 1 cos 2 ?? ? 0 O I m V R ? ? ? m V 1 cos 2R ?? ? ? m V L ? ? ? ? ? ? ? 2 ? ? ? O I max 2 ? ? ? , 2 ? ? ? ? = Extinction angle, Angle at which ? goes to zero. ? If a free-wheeling diode is connected across the load (RL) that behaves as R-load as output voltage goes to zero after ? ? ? t when FD conducts. Single phase half wave controlled rectifier i) R – load ? ? ? ? ? ? ? ? ? m O avg V V 1 cos 2 ? ? ? ? ? ? ? ? ? m O avg V I 1 cos 2R ? ? ? ?? ? ? ? ? ? ? ?? ? ?? 2 m or V sin2 V 42 ? Input power factor = ? 2 or or S S S V R V V I V ? m S V V 2 ? a = firing angle ii) R – L load ? ? ? ? ? ? ? ? ? ? m o avg V V cos cos 2 ? ? ? ? ? ? ? ? ? ? m o avg V I cos cos 2R ? ? ? ? ? ? ? ? ? ? ? ? ? ? m or V 1 V sin2 sin2 2 2 ? Circuit turn off time, ? ? ? ? ? ? ? c 2 t Single phase full – wave rectifier 1 ?? full converter 1 ?? Semi converter O V ? ? m 2V cos ? ? ?? ? m V 1 cos S1 I o 22 I ? ? ? O 22 I cos 2 S I o I ? ? ? ? O I DF 22 ? ? ? ? ? ? ? ? 22 cos 2 DPF ? cos ? cos 2 IPF ? ? 22 cos ? ? ? ? ?? ? ? ? ? 2 1 cos DPF: Displacement power factor = ? ? S S1 cos angle b w V & I S1 I = fundamental components of S I IPF: Input power factor IPF = DPF x DF DF: Distortion factor In case of continuous conductions, outgoing thyristors stop conduction before incoming thyristor start Load 1 ?? Full converter 1 ?? Semi – converter R – load ? ? ? ? ? ? m o V V 1 cos ? ? ? ? ? ? m o V V 1 cos R – L load ? ? ? ? ? ? ? m o V V cos cos ? ? ? ? ? ? m o V V 1 cos RLE – load ? ? ? ? ?? ? ? ? ? ? ? ? ? ? ? ?? ? ?? m o V V cos cos E ? ? ? ? ?? ? ? ? ? ? ? ? ? ? ?? ? om 1 V V 1 cos E Page 5 Form factor ? or o V FF V or V : rms value of output voltage. o V : Average value of output voltage. Ripple Factor RF = 2 FF 1 ? Distortion factor ? 01 or V DF V 01 V : rms value of fundamental components of o V or V : rms value of output voltage. Total harmonic Distortion ?? 2 1 THD 1 DF Single phase half wave uncontrolled rectifier R – load RL – Load L – Load O V m V ? ? ? m V 1 cos 2 ?? ? 0 O I m V R ? ? ? m V 1 cos 2R ?? ? ? m V L ? ? ? ? ? ? ? 2 ? ? ? O I max 2 ? ? ? , 2 ? ? ? ? = Extinction angle, Angle at which ? goes to zero. ? If a free-wheeling diode is connected across the load (RL) that behaves as R-load as output voltage goes to zero after ? ? ? t when FD conducts. Single phase half wave controlled rectifier i) R – load ? ? ? ? ? ? ? ? ? m O avg V V 1 cos 2 ? ? ? ? ? ? ? ? ? m O avg V I 1 cos 2R ? ? ? ?? ? ? ? ? ? ? ?? ? ?? 2 m or V sin2 V 42 ? Input power factor = ? 2 or or S S S V R V V I V ? m S V V 2 ? a = firing angle ii) R – L load ? ? ? ? ? ? ? ? ? ? m o avg V V cos cos 2 ? ? ? ? ? ? ? ? ? ? m o avg V I cos cos 2R ? ? ? ? ? ? ? ? ? ? ? ? ? ? m or V 1 V sin2 sin2 2 2 ? Circuit turn off time, ? ? ? ? ? ? ? c 2 t Single phase full – wave rectifier 1 ?? full converter 1 ?? Semi converter O V ? ? m 2V cos ? ? ?? ? m V 1 cos S1 I o 22 I ? ? ? O 22 I cos 2 S I o I ? ? ? ? O I DF 22 ? ? ? ? ? ? ? ? 22 cos 2 DPF ? cos ? cos 2 IPF ? ? 22 cos ? ? ? ? ?? ? ? ? ? 2 1 cos DPF: Displacement power factor = ? ? S S1 cos angle b w V & I S1 I = fundamental components of S I IPF: Input power factor IPF = DPF x DF DF: Distortion factor In case of continuous conductions, outgoing thyristors stop conduction before incoming thyristor start Load 1 ?? Full converter 1 ?? Semi – converter R – load ? ? ? ? ? ? m o V V 1 cos ? ? ? ? ? ? m o V V 1 cos R – L load ? ? ? ? ? ? ? m o V V cos cos ? ? ? ? ? ? m o V V 1 cos RLE – load ? ? ? ? ?? ? ? ? ? ? ? ? ? ? ? ?? ? ?? m o V V cos cos E ? ? ? ? ?? ? ? ? ? ? ? ? ? ? ?? ? om 1 V V 1 cos ERead More
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