《电子电力技术》（英文版） Chapter 4 AC to AC Converters AC Controllers and Frequency Converters

Power electronics Chapter 4 AC to AC converters AC Controllers and -Frequency Converters)

PPoowweerr EElleeccttrroonniiccss Chapter 4 AC to AC Converters ( AC Controllers and Frequency Converters )

PEREC Classification of ac to Ac converters Same frequency Variable variable magnitude AC power frequency AC power AC power AC controllers Frequency converters (Cycloconverters) AC to Ac converters 2

Same frequency Same frequency variable magnitude variable magnitude AC power AC power AC power AC power Variable Variable frequency frequency AC power AC power AC controllers Frequency converters (Cycloconverters) AC to AC converters Power E l ect r o n cs i Classification of AC to AC converters Classification of AC to AC converters 2

PEREC Classification of Ac controllers Phase control: AC voltage controller (Delay angle control) Integral cycle control: AC power controller AC controller PWM control: AC chopper ( Chopping control) On/off switch: electronic AC switch PWM: Pulse width modulation 3

Power E l ect r o n cs i 3 Classification of AC controllers Classification of AC controllers Phase control: Phase control: AC voltage controller AC voltage controller (Delay angle control) angle control) Integral cycle con tegral cycle control: AC power controller AC controller AC controller AC power controller PWM control: PWM control: AC chopper AC chopper (Chopping control) (Chopping control) On/off switch: On/off switch: electronic AC s electronic AC switch PWM: Pulse Width Modulation PWM: Pulse Width Modulation

PEREC classification of frequency converters Phase control: thyristor cycloconverter (Delay angle control) Frequency converter (Cycloconverter) PWM control: matrix converter (Chopping control) 4 Cycloconverter is sometimes referred to in a broader sense -any ordinary ac to ac converter in a narrower sense-thyristor cycloconverter

Classification of frequency converters Classification of frequency converters Frequency converter Frequency converter (Cycloconverter Cycloconverter ) Phase control: Phase control: thyristor cycloconverte yristor cycloconverte r (Delay angle control) angle control) PWM control: PWM control: matrix converter matrix converter (Chopping control) (Chopping control) Power Electron cs i Cycloconverter Cycloconverter is sometimes referred to is sometimes referred to – in a broader sense in a broader sense —any ordinary AC to AC converter any ordinary AC to AC converter – in a narrower sense in a narrower sense—thyristor cycloconverter thyristor cycloconverter 4

PEREC Outlin 4. 1 AC voltage controllers 4.2 Other ac controllers 4.3 Thyristor cycloconverters 4.4 Matrix converters 5

Power Electron cs i 5 Outline Outline 4.1 AC voltage controllers AC voltage controllers 4.2 Other AC controllers 4.2 Other AC controllers 4.3 Thyristor cycloconverters 4.3 Thyristor cycloconverters 4.4 Matrix converters 4.4 Matrix converters

PEREC 4.1 AC voltage controllers 4.1.1 Single-phase AC voltage controller 4.1.2 Three-phase AC voltage controller Applications 命 Lighting control 4 Soft-start of asynchronous motors 4 Adjustable speed drive of asynchronous motors 4 Reactive power control

Power Electron cs i 6 4.1 AC voltage controllers AC voltage controllers 4.1.1 Single -phase AC voltage controller phase AC voltage controller 4.1.2 Three 4.1.2 Three -phase AC voltage controller phase AC voltage controller Applications Applications Lighting control Lighting control Soft -start of asynchronous motors start of asynchronous motors Adjustable speed drive of asynchronous motors Adjustable speed drive of asynchronous motors Reactive power control Reactive power control

4.1.1 Single-phase AC voltage controller Resistive load lo R at l 4 The phase shift range (operation range of phase delay angle) at 0≤a<π 7

The phase shift range The phase shift range (operation range of phase (operation range of phase delay angle): delay angle): 0 ≤ α ≤ π Resistive load Resistive load Power Electron cs i u1 u o R io VT1 VT2 O u1 u o io uVT ω t O ωt O ωt O ωt 4.1.1 Single -phase AC voltage controller phase AC voltage controller 7

PEREC Resistive load, quantitative analysis 4 RMs value of output voltage 6u2u,sino d(ot)=UNLT 丌-a sinza z(4-1) t RMS value of output current R (4-2) RMS value of thyristor current 1 r v2U, sinat d(ot) a sinza 丌 R R12 2丌 (4-3) e Power factor of the circuit sin 2a +a S U 2丌

Power Electron cs i 8 Resistive load, quantitative analysis Resistive load, quantitative analysis RMS value of output voltage RMS value of output voltage RMS value of output current RMS value of output current RMS value of RMS value of thyristor thyristor current current Power factor of the circuit Power factor of the circuit ( ) ( ) π π α α π ω ω π π α − = = + ∫ sin 2 2 1 2 sin d 1 1 2 Uo U1 t t U R U I o o = ( ) ) 2 sin 2 ( 1 2 2 sin 1 2 1 1 2 1 π α π α ω ω π π α = − + ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ = ∫ R U d t R U t I T (4 -1) (4 -2) (4 -3) π π α α π λ − = = = = sin 2 + 2 1 1 o 1 o o o U U U I U I S P (4 -4)

F Inductive(Inductor-resistor) load, operation principle R ◆ The phase shift range qsasπ

Power Electron cs i 9 Inductive (Inductor Inductive (Inductor -resistor) load, resistor) load, operation principle operation principle 0.6 O u1 u o i o uVT O ωt ωt O ωt O ωt uG1 uG2 O O ωt ωt u1 uo R i o VT1 VT 2 The phase shift range: The phase shift range: ϕ ≤ α ≤ π

PEREC Inductive load, quantitative analysis Differential equation 180 L=°+Ri=√2U1 snot dt (45) 140 Solution [sin(at-)-sin(a-o)eg9] Z a<ot≤a+b 20 Considering io=0 when ot=ac+8 02060100140180 We have /(°) a+b-)=sn(a-0)e(4-7) The rms value of output voltage output current, and thyristor current can then be calculated

Power Electron cs i 10 Differential equation Differential equation Solution Solution Considering Considering i o=0 when =0 when ωt = α+ θ We have We have 0 2 sin d d o o 1 o = + = ω = α ω t i Ri U t t i L (4 -5) α ω α θ ω ϕ α ϕ ϕ α ω ≤ ≤ + = − − − − t t e Z U i tg t o [sin( ) sin( ) ] 2 1 (4 -6) ϕ θ α θ ϕ α ϕ tg sin( ) sin( ) − + − = − e Inductive load, quantitative analysis Inductive load, quantitative analysis 0 2 0 60 100 140 180 20 100 60 θ /(°) 180 140 α /(°) ϕ = 90° 75° 60° 45° 30° 15° 0° (4 -7) The RMS value of output voltage, output current, and The RMS value of output voltage, output current, and thyristor thyristor current can then be calculated. current can then be calculated