chap 4 - inverters

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    Chapter 4Chapter 4

    INVERTERSINVERTERS

    (DC-AC)(DC-AC)

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    IntroductionIntroduction

    Convert DC power to AC power at a desired outputConvert DC power to AC power at a desired output

    voltage or current and frequency.voltage or current and frequency.

    Definition:

    General block diagramof inverter

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    Introduction (cont)Introduction (cont)

    Static circuits no moving partsStatic circuits no moving parts

    Converts DC to AC power by switching the DC inputConverts DC to AC power by switching the DC input

    voltage in a pre-determined sequence to generatevoltage in a pre-determined sequence to generateAC voltageAC voltage

    Output waveform is not purely sinusoidalOutput waveform is not purely sinusoidal

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    Introduction (cont)Introduction (cont)

    Classified according to:Classified according to:

    number of phases

    use of power semiconductor devicescommutation principles

    output waveforms

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    Introduction (cont)Introduction (cont)

    Induction motor drives, traction, standby power supplies,Induction motor drives, traction, standby power supplies,

    and uninterruptible ac power supplies (UPS).and uninterruptible ac power supplies (UPS).

    Application:

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    Introduction (cont)Introduction (cont)

    (1)(1) Voltage source inverter (VSI)Voltage source inverter (VSI)

    3 types of inverter:

    DC voltage source isconstant.

    A large capacitor across DCsource to stable the output.

    Output current is dependent

    on the load.Widely used in industry

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    Introduction (cont)Introduction (cont)

    (2) Current source inverter (CSI)(2) Current source inverter (CSI)

    Current source is DC power

    supply.Output current is defined,

    based on the gating pattern.

    Output voltage is dependent

    on the load.

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    Introduction (cont)Introduction (cont)

    (3) Current regulated inverter(3) Current regulated inverter

    The current regulated

    inverters are becomingpopular especially for speed

    control of AC motors.

    In this category, there is a

    current sensing circuit that

    senses the actual value of

    the current at every instant.

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    Single-Phase Half-Bridge InverterSingle-Phase Half-Bridge Inverter

    Uses 2 semiconductor for switches.

    S1 and S2 connect and disconnect alternately.

    The combination of 2 switches provides the 4

    states.

    Basic principles:

    State S1 S2 Output

    1 + - +E

    2 - - 0

    3 - + -E

    4 + + 0

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    Single-Phase Half-Bridge Inverter (cont)Single-Phase Half-Bridge Inverter (cont)

    State 1 & 3 repeatedState 1 & 3 repeatedalternately willalternately willproduced square-produced square-Wave AC voltage.Wave AC voltage.

    State 2 & 4 makes thestep-wave or quasi-

    quare-wave is obtained.

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    Half-Bridge VSIHalf-Bridge VSI

    Single-Phase Half-Bridge Inverter (cont)Single-Phase Half-Bridge Inverter (cont)

    Output

    waveform

    with R load

    Output

    waveform

    with RL load

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    If S1 or S2 are closed (TIf S1 or S2 are closed (TONON), the half-wave average output), the half-wave average output

    voltage, Vvoltage, VO(ave)O(ave);;

    T

    Tcycledutyd

    where

    EdT

    TE

    T

    TEV

    ON

    ONONaveO

    ==

    ===

    ;

    222/

    )(

    The RMS output voltage, VO(RMS);

    EdV RMSO 2)( =

    Single-Phase Half-Bridge Inverter (cont)Single-Phase Half-Bridge Inverter (cont)

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    Single-Phase Half-Bridge Inverter (cont)Single-Phase Half-Bridge Inverter (cont)

    For the resistive load, the half-wave average outputFor the resistive load, the half-wave average outputcurrent, Icurrent, IO(ave)O(ave);;

    R

    VI

    aveO

    aveO

    )(

    )( =

    The average current in the switch, iS1 and iS2 = IO(ave) / 2

    The average power absorbed by the load, PL;

    R

    dE

    R

    VP

    RMSO

    L

    22)( 2==

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    Example 4.1Example 4.1

    A single-phase half-wave inverter with E=100V,A single-phase half-wave inverter with E=100V,

    d=50% and resistive load, R=1d=50% and resistive load, R=1..

    (i) Find the average load current.(i) Find the average load current.

    (ii) Find the average switch current.(ii) Find the average switch current.

    (iii) find the power delivered to the load.(iii) find the power delivered to the load.

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    Solution 4.1Solution 4.1

    (i)(i) VVO(ave)O(ave) = 2Ed = 2(100)(0.5) = 100V= 2Ed = 2(100)(0.5) = 100V

    IIO(ave)O(ave) = V= VO(ave)O(ave) / R = 100/1 = 100A/ R = 100/1 = 100A

    (ii)(ii) Average current in the switch = IAverage current in the switch = IO(ave)O(ave)/2 =100/2 = 50A/2 =100/2 = 50A

    (iii)(iii) The RMS output voltage,The RMS output voltage,

    VEdV RMSO 100)100)(5.0*2(2)( ===

    Power load, PPower load, PLL;;

    kWRVPRMSOL

    101/100/ 22 )( ===

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    In time domain, the totalIn time domain, the totalRMS value of the loadRMS value of the loadoutput voltage,output voltage,

    The instantaneous outputvoltage is;

    The fundamental rms

    output voltage is;

    Single-Phase Half-Bridge Inverter (cont)

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    Single-Phase Half-Bridge Inverter (cont)

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    Single-Phase Half-Bridge Inverter (cont)

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    Example 4.2Example 4.2

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    Solution 4.2Solution 4.2

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    Solution 4.2 (cont)Solution 4.2 (cont)

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    Single-Phase Half-Bridge Inverter (cont)Single-Phase Half-Bridge Inverter (cont)

    Frequency of AC output;Frequency of AC output;

    Tf

    1=

    2 methods to make the AC output voltage closer tosinusoid:

    (i) use a filter circuit on the output side but increase the

    power losses, cost and weight.

    (ii) use a Pulse Width Modulation (PWM) as aswitching scheme to modify the shape of output

    voltage.

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    In practical, a dead time as shown below is required in S1In practical, a dead time as shown below is required in S1

    and S2 to avoid shoot-through faults.and S2 to avoid shoot-through faults.

    Single-Phase Half-Bridge Inverter (cont)Single-Phase Half-Bridge Inverter (cont)

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    Single-Phase Full-Bridge InverterSingle-Phase Full-Bridge Inverter

    Full-Bridge VSIFull-Bridge VSI

    Outputwaveform

    with R load

    Output

    waveform

    with RL load

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    Single-Phase Full-Bridge Inverter (cont)Single-Phase Full-Bridge Inverter (cont)

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    Example 4.3Example 4.3

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    Solution 4.3Solution 4.3

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    Solution 4.3 (cont)Solution 4.3 (cont)

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    Solution 4.3 (cont)Solution 4.3 (cont)

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    Solution 4.3 (cont)Solution 4.3 (cont)

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    Example 4.4Example 4.4

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    Solution 4.4Solution 4.4

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    Solution 4.4 (cont)Solution 4.4 (cont)

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    Three-Phase InverterThree-Phase Inverter

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    Total Harmonic DistortionTotal Harmonic Distortion

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    Spectrum of square-waveSpectrum of square-wave

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    Fourier series analysis for square wave inverterFourier series analysis for square wave inverter

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    Example 4.5Example 4.5

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    Solution 4.5Solution 4.5

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    Pulse Width Modulation (PWM)Pulse Width Modulation (PWM)

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    Pulse Width Modulation (PWM) .contPulse Width Modulation (PWM) .cont

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    Pulse Width Modulation (PWM) .contPulse Width Modulation (PWM) .cont

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    Sekian.Sekian.