Design and Control of a Diode Clamped Multilevel Wind.pdf

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    A. Hkansson et al. (Eds.): Sustainability in Energy and Buildings, SIST 22, pp. 797812.

    DOI: 10.1007/978-3-642-36645-1_71 Springer-Verlag Berlin Heidelberg 2013

    Chapter 71

    Design and Control of a Diode Clamped Multilevel Wind

    Energy System Using a Stand-Alone AC-DC-AC

    Converter

    Mona F. Moussa and Yasser G. Dessouky

    Arab Academy for Science and Technology and Maritime Transport

    Miami, P.O. Box: 1029, Alexandria, Egypt

    [email protected]

    Abstract. The major application of the stand-alone power system is in remote

    areas where utility lines are uneconomical to install due to terrain, the right-of way

    difficulties or the environmental concerns. Villages that are not yet connected to

    utility lines are the largest potential market of the hybrid stand-alone systems using

    diesel generator with wind or PV for meeting their energy needs. The stand-alone

    hybrid system is technically more challenging and expensive to design than the

    grid-connected system that simply augments the existing utility system.

    Multilevel inverter technology has emerged recently as a very important alter-

    native in the area of high-power medium-voltage energy control. This paper

    presents the topology of the diode-clamped inverter, and also presents the relevantcontrol and modulation method developed for this converter, which is: multilevel

    selective harmonic elimination, where additional notches are introduced in the

    multi-level output voltage. These notches eliminate harmonics at the low or-

    der/frequency and hence the filter size is reduced without increasing the switching

    losses and cost of the system. The proposed modulation method is verified

    through simulation using a five-level Diode-clamped inverter prototype. The sys-

    tem consists of a 690V wind-driven permanent magnet synchronous generator

    whose output is stepped down via a multiphase transformer, designed to eliminate

    lower order harmonics of the generator current. The transformer secondary vol-

    tages are rectified through an uncontrolled AC/DC converters to provide differentinput DC voltage levels of the diode clamp quazi phase multilevel inverter where

    the pulse widths are adjusted to eliminate low order harmonics of the output vol-

    tage whose magnitude is kept constant with different loading condition by con-

    trolling the inverter switching and maintaining low total harmonic distortion

    THD.

    Keywords: Selective Harmonic Elimination, stand alone systems, converters,

    wind energy, renewable energy and Diode clamped Multilevel Inverter.

    1 Introduction

    In this paper a regulated AC-DC-AC converter is studied, where the AC-DC converterhas lower THD while the elimination of harmonics using diode-clamped multilevel

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    798 M.F. Moussa and Y.G. Dessouky

    inverter (DCMLI) has been implemented. The problem of eliminating harmonics inswitching inverters has been the focus of research for many years. The current trend of

    modulation control for multilevel inverters is to output high quality power with highefficiency. For this reason, popular traditional PWM modulation methods are not the

    best solution for multilevel inverter control due to their high switching frequency. Theselective harmonic elimination method has emerged as a promising modulation controlmethod for multilevel inverters. The major difficulty for the selective harmonic elimi-

    nation method is to solve the equations characterizing harmonics; however, the solu-tions are not available for the whole modulation index range, and it does not eliminateany number of specified harmonics to satisfy the application requirements. The pro-posed harmonic elimination method is used to eliminate lower order harmonics andcan be applied to DCMLI application requirements. The diode clamped inverter hasdrawn much interest because it needs only one common voltage source. Also, it isefficient, even if it has inherent unbalanced dc-link capacitor voltage problem [1].

    However, it would be a limitation to applications beyond four-level diode clampedinverters for the reason of reliability and complexity considering dc-link balancing and

    the prohibitively high number of clamping diodes [2].By increasing the number of levels in the inverter, the output voltages have more

    steps generating a staircase waveform, which has a reduced harmonic distortion.However, a high number of levels increases the control complexity and introduces

    voltage imbalance problems. Three different topologies have been proposed for multi-level inverters: diode-clamped (neutral-clamped) [8]; capacitor-clamped (flying capa-citors) [13]; and cascaded multicell with separate dc sources [14]-[17].

    The system configuration, as shown in Fig.1, is made-up of wind stand-alone sys-tem, multi-phase transformer connected to pulse series-type diode rectifier, dc link

    filter, diode clamped multilevel inverters, trap filters, and the load.

    Fig. 1.Diode clamped multilevel wind energy system using a stand-alone AC-DC-AC converter

    system

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    71 Design and Control of a Diode Clamped Multilevel Wind Energy System 799

    An interior permanent magnet synchronous generator IPMSG

    is feeding a multi-

    phase transformer with four secondary windings. In order to reduce the line generator

    current THD, multipulse diode rectifiers powered by phase-shifting transformers are

    often employed. Consequently, each winding of the transformer is connected to 6-

    pulse series-type diode rectifier whose DC output is regulated by a DC link LC filterto feed a diode clamped inverters such that they are controlled independently in order

    to improve the performance under different load conditions. The output voltage of the

    inverter is supplying a three-phase 440V, 60kVA load with regulated voltage through

    a feedback signal from output load voltage to control the pulse width of the upper

    transistor.

    2 Wind Stand-Alone System

    The stand-alone wind system using a constant speed generator is has many features

    similar to the PV stand-alone system. For a small wind system supplying local loads,

    a permanent magnet IPMSG makes a wind system simple and easier to operate.

    The battery is charged by an AC to DC rectifier and discharged through a DC to AC

    inverter.

    The wind stand-alone power system is often used for powering farms.In Germany,

    nearly half the wind systems installed on the farms are owned either by individual

    farmers or by an association. The generalized d-q axis model of the generator is used

    to model the synchronous generator [19].

    3

    Multi-phase Transformer Connected to Pulse Series-Type

    Diode Rectifier

    Fig. 2 shows the typical configuration of the phase-shifting transformers for 12-pulse

    rectifiers. There are two identical six-pulse diode rectifiers powered by a phase-

    shifting transformer with two secondary windings. The dc outputs of the six-pulse

    rectifiers are connected in series. To eliminate low-order harmonics in the line currentiA, the line-to-line voltage vab of the wye-connected secondary winding is in phase

    with the primary voltage vABwhile the delta-connected secondary winding voltage v~bleads vABby = 30. The rms line-to-line voltage of each secondary winding is Vab=

    V~b = K VAB/2. From which the turns ratio of the transformer can be determined

    by [20]:

    2and

    , where Kis the step down ratio.

    The configuration of a Y/Z-2 phase-shifting transformer is shown in Fig. 2, where the

    primary winding remains the same as that in the Y/Z-1 transformer while the

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    800 M.F. Moussa and Y.G. Dessouky

    Fig. 2.12-pulse diode rectifier

    secondary delta-connected coils are connected in a reverse order. The transformer

    turns ratio can be found from:

    30

    30

    30 0

    1230

    .

    The phase angle has a negative value for the Y/Z-2 transformer, indicating that Vablags VAB by ||. The phase-shifting transformer is an indispensable device in

    multipulse diode rectifiers. It provides three main functions: (a) a required phase dis-placement between the primary and secondary line-to-line voltages for harmonic can-cellation, (b) a proper secondary voltage, and (c) an electric isolation between therectifier and the utility supply [20].

    4 Trap Filters

    To attenuate the penetration of harmonics into the a.c system from a rectifier load, har-

    monic filters can be connected to the neutral from each line. The manner in which the

    harmonics currents are by-passed is to provide harmonic filters as shown in Fig. 3. For a

    6-pulse system, tuned harmonic filters are provided for the 13thand 17thharmonic com-

    ponents. For the higher order harmonics, a high pass filter is provided. Care must betaken to avoid excessive loss at the fundamental frequency. A practical problem is that

    of frequency drift, which may be as much as 2% in a public supply system. Either the

    filters have to be automatically tuned or have a low Q-factor to be effective.

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    71 Design and Control of a Diode Clamped Multilevel Wind Energy System 801

    Fig. 3.Harmonic trap filter

    When, trap filters are designed to eliminate the 11th

    harmonic, they do this by pro-

    viding a low impedance path for that harmonic [21].

    5 Diode-Clamped Multilevel Inverter

    The diode-clamped inverter, or the neutral-point clamped (NPC) inverter, effectively

    doubles the device voltage level without requiring precise voltage matching [22].

    Fig. 4.Diode-clamped five-level multilevel inverter circuit topologies

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    802 M.F. Moussa and Y.G. Dessouky

    Fig. 4 shows a five-level diode-clamped converter in which the dc bus consists of

    four capacitors, C1, C2, C2, and C1. For dc-bus voltage Vdc, the voltage across each

    capacitor is Vdc1, Vdc2, Vdc2, and Vdc1 respectively, and each device voltage stress will

    be limited to one capacitor voltage level Vdc/4 through clamping diodes [23]-[25].

    To explain how the staircase voltage is synthesized, the neutral point n is consi-dered as the output phase voltage reference point. There are five switch combinations

    to synthesize five level voltages across a and n.

    1. For voltage level Van= Vdc1, turn on all upper switches S1S4.

    2. For voltage level Van= Vdc2, turn on three upper switches S2S4and one lower

    switch S1'.

    3. For voltage level Van= 0, turn on two upper switches S3and S4and two lower

    switches S1'and S2'.

    4.

    For voltage level Van= -Vdc1, turn on one upper switch S4 and three lower switch-es S1' S3'.

    5. For voltage level Van= -Vdc2, turn on all lower switches S1' S4'.

    6 Determination of Output Waveform Shape

    The concept of the proposed technique is to combine the selective harmonic eliminated

    PWM method with the optimised harmonic step waveform method. The Selective

    Harmonic Elimination (SHE) method introduces additional notches in the basic voltagewaveform of the square wave inverter. The inverter output voltage is chopped a

    number of times at an angle(s) to eliminate the selected harmonic(s) [26]-[29]. These

    angles are calculated in off-line correlating the selected harmonics to be eliminated in

    the inverter output voltage. In similar lines, for the multilevel inverter, the notches are

    optimised to eliminate the lower order harmonics in the output voltage of a multilevel

    inverter. In the Optimized Harmonic Stepped-Waveform Technique OHSW method

    the number of switching is limited to the number of level of the inverter [30].

    Fig. 5.Output voltage waveform of a diode clamped inverter

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    71 Design and Control of a Diode Clamped Multilevel Wind Energy System 803

    The output voltage waveform V(t) shown in Fig. 6 can be expressed in Fourier se-

    ries as [31]:

    Vt V sinn (1)

    The amplitude of the nthharmonic is expressed only with the first quadrant switching

    angles 1, 2, as:-

    V

    Hcosn Hcosn (2)

    Where 0

    Vnis equated to zero for the harmonics to be eliminated [31], as follows:

    V 0 Hcos5 Hcos5 (3)

    V 0 Hcos7 Hcos7 (4)

    V 0 Hcos11 Hcos11 (5)

    These are three equations and also:

    H H 1 (6)

    Solving these four equations together using MATHCAD software, the value of H1, H2,1, and 2can be obtained as shown in table 1. Having got the values of the angles

    and DC voltage heights H, the spectrum analysis using Fourier Transformation for theoutput voltage can be obtained.

    Table 1.

    1 = 10.97; 2 = 35.24;

    H1= 0.634; H2= 0.365;

    7

    Simulation

    The stabilized AC-DC-AC power supply used is shown in Fig. 6 which consists of a

    step down transformer with one primary and four secondary and whose turns ratio are

    (0.8:H1), (0.8:H2), followed by an uncontrolled rectifier and then a dc link low pass

    filter, therefore, two different DC voltages are obtained. Each DC voltage is feeding a

    quazi-single inverter whose angles are 1, and 2 (given in table I) which are clamped

    to get the required wave form. This system consists of a load voltage feedback control

    signal in order to maintain the voltage of the load constant at 380V irrespective of the

    loads variations by controlling the DC voltage levels of through the controlled rectifi-

    ers. The inverters operate at 60Hz. The system has been tested from 10% to 20% offull load at time t = 0.9s, from 80% to 100% of full load at time t = 1.9s, and from

    100% to 110% of full load at time t = 2.9s. The transient response results are shown in

    Fig. 7.

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    804 M.F. Moussa and Y.G. Dessouky

    Fig. 6.Simulink block diagram

    The proposed simulink system configuration is shown in Fig. 7, where a three-

    phase 50kVA, 690V step-up transformer has one primary coil and four secondary

    coils which feed three bridge rectifiers, which are cheap since they are uncontrolled

    devices in converting the AC to DC. Each bridge rectifier is connected to a DC/AC

    diode clamped inverter. The output voltages of the inverters are clamped together and

    connected to supply a three-phase 380V, 60kVA load with regulated voltage througha feedback signal from output load voltage to control the thyristor rectifiers.

    The value of the inductance of the 1st trap filter is 0.0022 H, while that of the 2nd

    trap filter is 0.0013H. Both trap filters have a capacitance of 19.2F. The value of the

    inductances of the four DC link filters are the same L1, L2, L3, L4 = 5mH, while the

    capacitances of the 1stand 4thDC link filters are C1 = C4= 17600 F. and the capacit-

    ances of the 2ndand 3rdDC link filters are C2 = C3= 8800 F.

    (a) (b)

    Fig. 7.(a) RMS output current, (b) Duty ratio K1

    Discrete,

    Ts = 1e-005 s.

    powergui

    v+-

    v+-

    v+-A

    B

    C

    a1

    b1

    c1

    a2

    b2

    c2

    a3

    b3

    c3

    a4

    b4

    c4

    Transformer

    A

    B

    C

    +

    -

    A

    B

    C

    +

    -

    A

    B

    C

    +

    -

    A

    B

    C

    +

    -

    A

    B

    C

    a

    b

    c

    A B C

    A B C

    A

    B

    C

    A

    B

    C

    A B C

    AB C

    A B C

    AB C

    C

    P

    S1

    S2

    S3

    N

    Phase_C

    B

    P

    S1

    S2

    S3

    N

    Phase_B

    A

    P

    S1

    S2

    S3

    N

    Phase_A

    node 1

    node 1 node 1node 1node 1

    L4

    L3

    L2

    L1

    w

    mA

    B

    C

    IPMS Gen

    -K-InRMS

    wr

    440

    K1

    A

    BC

    CONTROL

    SIGNALS

    C4

    C3

    C2

    C1

    Add

    PID

    Voltage

    Controller

    0 0.5 1 1.5 2 2.5 3 3.5 40

    50

    100

    150

    Time, (S)

    R

    M

    S

    O

    u

    tp

    u

    t

    C

    u

    rren

    t,

    (A

    )

    0 0.5 1 1.5 2 2.5 3 3.5 4-700

    -600

    -500

    -400

    -300

    -200

    -100

    0

    100

    200

    300

    400

    Time Sec

    D

    u

    ty

    R

    atio

    ,K

    1

    %

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    71 Design and Control of a Diode Clamped Multilevel Wind Energy System 805

    (a)

    (b)

    (c) (d)

    Fig. 8.InstantaneousO/P current, with its spectrum analysis at: (a) 10%, (b) 80%, (c) 100%,(d) 110% of the load

    0.9 0.905 0.91 0.915 0.92 0.925 0.93 0.935 0.94 0.945-20

    -10

    0

    10

    20

    Output Current at 0.9s, (A)

    Time (s)1.9 1.905 1.91 1.915 1.92 1.925 1.93 1.935 1.94 1.945

    -100

    0

    100

    utput urrent . s,

    0 100 200 300 400 500 600 700 800 900 10000

    20

    40

    60

    80

    100

    Frequency (Hz)

    Fundamental (60Hz) = 17.77 , THD= 8.33%

    M

    ag(

    %

    ofFundam

    ental)

    0 100 200 300 400 500 600 700 800 900 10000

    20

    40

    60

    80

    100

    Fre uenc Hz

    Fundamental (60Hz) = 166.4 , THD= 2.29%

    M

    ag(

    %

    o

    fFundam

    ental)

    2.9 2.905 2.91 2.915 2.92 2.925 2.93 2.935 2.94 2.945-200

    -100

    0

    100

    200

    Output Current at 2.9s, (A)

    Time s

    3.9 3.905 3.91 3.915 3.92 3.925 3.93 3.935 3.94 3.945

    -200

    -100

    0

    100

    200

    Output Current at 3.9s, (A)

    Time (s)

    0 100 200 300 400 500 600 700 800 900 10000

    20

    40

    60

    80

    100

    Frequency (Hz)

    Fundamental (60Hz) = 185.5 , THD= 0.57%

    M

    ag(

    %

    ofFun

    dam

    ental)

    0 100 200 300 400 500 600 700 800 900 10000

    20

    40

    60

    80

    100

    Frequency (Hz)

    Fundamental (60Hz) = 204 , THD= 0.80%

    M

    ag(

    %

    ofFu

    ndam

    ental)

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    806 M.F. Moussa and Y.G. Dessouky

    (a) (b)

    (c) (d)

    Fig. 9.Instantaneous O/P voltage, with its spectrum analysis at: (a) 10%, (b) 80%, (c) 100%,

    (d) 110% of load

    0.9 0.905 0.91 0.915 0.92 0.925 0.93 0.935 0.94 0.945

    -500

    0

    500

    upu o age a . s, vo

    Time s

    1.9 1.905 1.91 1.915 1.92 1.925 1.93 1.935 1.94 1.945400

    200

    0

    200

    400

    Output Voltage at 1.9s, (volt)

    Time s

    0 100 200 300 400 500 600 700 800 900 10000

    20

    40

    60

    80

    100

    Fre uenc Hz

    Fundamental (60Hz) = 343.9 , THD= 27.91%

    M

    ag(%

    ofFundam

    ental)

    0 100 200 300 400 500 600 700 800 900 10000

    20

    40

    60

    80

    100

    Frequency (Hz)

    Fundamental (60Hz) = 358.1 , THD= 10.11%

    M

    ag

    (%

    ofFundam

    ental)

    2.9 2.905 2.91 2.915 2.92 2.925 2.93 2.935 2.94 2.945-400

    -200

    0

    200

    400

    Output Voltage at 2.9s, (volt)

    Time s

    3.9 3.905 3.91 3.915 3.92 3.925 3.93 3.935 3.94 3.945-400

    -200

    0

    200

    400

    Output Voltage at 3.9s, (volt)

    Time (s)

    0 100 200 300 400 500 600 700 800 900 10000

    20

    40

    60

    80

    100

    Frequency (Hz)

    Fundamental (60Hz) = 359.2 , THD= 3.09%

    M

    ag(

    %

    ofFundam

    ental)

    0 100 200 300 400 500 600 700 800 900 10000

    20

    40

    60

    80

    100

    Frequency (Hz)

    Fundamental (60Hz) = 359 , THD= 3.74%

    M

    ag(

    %

    ofFundam

    ental)

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    71 Design and Control of a Diode Clamped Multilevel Wind Energy System 807

    (a) (b)

    (c) (d)

    Fig. 10.Strain voltage, with its spectrum analysis at: (a) 10%, (b) 80%, (c) 100%, (d) 110% of

    the load

    0.9 0.905 0.91 0.915 0.92 0.925 0.93 0.935 0.94 0.945

    -500

    0

    500

    Strain Voltage at 0.9s, (volt)

    Time (s)

    1.9 1.905 1.91 1.915 1.92 1.925 1.93 1.935 1.94 1.945-500

    0

    500

    Strain Voltage at 1.9s, (volt)

    Time (s)

    0 100 200 300 400 500 600 700 800 900 10000

    20

    40

    60

    80

    100

    Fre uenc Hz

    Fundamental (60Hz) = 348.2 , THD= 35.37%

    M

    ag

    (%

    ofFundam

    ental)

    0 100 200 300 400 500 600 700 800 900 10000

    20

    40

    60

    80

    100

    Fre uenc Hz

    Fundamental (60Hz) = 441 , THD= 17.54%

    M

    ag(

    %

    ofFundam

    ental)

    2.9 2.905 2.91 2.915 2.92 2.925 2.93 2.935 2.94 2.945

    -400

    -200

    0

    200

    400

    Strain Voltages at 2.9s,(volt)

    Time (s)

    3.9 3.905 3.91 3.915 3.92 3.925 3.93 3.935 3.94 3.945

    -400

    -200

    0

    200

    400

    Strain Voltage at 3.9s, (volt)

    Time (s)

    0 100 200 300 400 500 600 700 800 900 10000

    20

    40

    60

    80

    100

    Frequency (Hz)

    Fundamental (60Hz) = 453.2 , T HD= 18.10%

    M

    ag(

    %

    ofFundam

    ental)

    0 100 200 300 400 500 600 700 800 900 10000

    20

    40

    60

    80

    100

    Frequency (Hz)

    Fundamental (60Hz) = 464 , THD= 20.40%

    M

    ag(%

    ofFundam

    ental)

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    808 M.F. Moussa and Y.G. Dessouky

    (a) (b)

    Fig. 11.(a) DC current I1, (b) DC current I2

    (a) (b)

    Fig. 12.Input current, with its spectrum analysis at: (a) 10%, (b) 80%, (c) 100%, (d) 110% of

    the load

    0 0.5 1 1.5 2 2.5 3 3.5 40

    50

    100

    150

    Time, (S)

    D

    C

    C

    u

    rren

    t,

    I1

    (A

    )

    0 0.5 1 1.5 2 2.5 3 3.5 40

    20

    40

    60

    80

    100

    120

    140

    160

    Time, (S)

    D

    C

    C

    u

    rrent,

    I2

    (A

    )

    0.9 0.91 0.92 0.93 0.94 0.95

    -5

    0

    5

    Input Current at 0.9s, (A)

    1.9 1.91 1.92 1.93 1.94 1.95

    50

    0

    50

    Input Current at 1.9s, (A)

    Time (s)

    0 100 200 300 400 500 600 700 800 900 10000

    20

    40

    60

    80

    100

    Frequency (Hz)

    Fundamental (50Hz) = 7.392 , THD= 29.34%

    M

    ag

    (%

    ofFundam

    ental)

    0 100 200 300 400 500 600 700 800 900 10000

    20

    40

    60

    80

    100

    Frequency (Hz)

    Fundamental (50Hz) = 80.36 , THD= 12.41%

    M

    ag

    (%

    ofFundam

    ental)

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    71 Design and Control of a Diode Clamped Multilevel Wind Energy System 809

    (c) (d)

    Fig. 12.(continued)

    It should be noted that some power suppliers use the transformer after the DC to

    AC inverter to step up the voltage in the 60 Hz frequency level [32] while in this sys-

    tem the step up transformer is used before the AC to DC rectifier in the 50 Hz fre-

    quency level which has an advantage of lower iron core losses and less noise. The

    results of Fig. 8 to Fig. 13 show that the effectiveness of this AC/DC/AC converter to

    supply a regulated AC voltage regardless of the load changes with low THD.

    From the simulation results, it can be noted that the phase-shifting transformer is

    an indispensable device in multipulse diode rectifiers. It provides three main func-

    tions: (a) a required phase displacement between the primary and secondary line-to-

    line voltages for harmonic cancellation, (b) a proper secondary voltage, and (c) an

    electric isolation between the rectifier and the utility supply. Also, it is clear that the

    trap filters are provided to eliminate the 13th

    and 17th

    harmonic components.

    The inverters are diode clamped together to result in an output voltage free of 3rd,

    5th, 7th, 9thand 11thharmonics. The result showed that the output voltage resulted in an

    almost sinusoidal current.

    8 Conclusion

    The selected harmonic elimination is a popular issue in multilevel inverter design.

    The proposed selective harmonic elimination method for DCMLI has been validated

    in simulation. The simulation results show that the proposed algorithm can be used toeliminate any number of specific lower order harmonics effectively and results in a

    dramatic decrease in the output voltage THD. In the proposed harmonic elimination

    method, the lower order harmonic distortion is largely reduced in fundamental switch-

    ing. Multilevel inverters include an array of power semiconductors and capacitor

    2.9 2.91 2.92 2.93 2.94 2.95-100

    -50

    0

    50

    100

    Input Current at 2.9s, (A)

    Time (s)3.9 3.91 3.92 3.93 3.94 3.95

    -100

    -50

    0

    50

    100

    Input Current at 3.9s, (A)

    Time (s)

    0 100 200 300 400 500 600 700 800 900 10000

    20

    40

    60

    80

    100

    Fre u enc Hz

    Fundamental (50Hz) = 90.24 , THD= 11.51%

    M

    ag

    (%

    ofFundam

    ental)

    0 100 200 300 400 500 600 700 800 900 10000

    20

    40

    60

    80

    100

    Frequency (Hz)

    Fundamental (50Hz) = 99.66 , THD = 10.75%

    M

    ag(

    %

    ofFundam

    ental)

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    810 M.F. Moussa and Y.G. Dessouky

    voltage sources, the output of which generate voltages with stepped waveforms. The

    commutation of the switches permits the addition of the capacitor voltages, which

    reach high voltage at the output, while the power semiconductors must withstand only

    reduced voltages. Thus, by increasing the number of levels in the inverter, the output

    voltages have more steps generating a staircase waveform, which has a reduced har-monic distortion. However, a high number of levels increases the control complexity

    and introduces voltage imbalance problems. The most attractive features of multilevel

    inverters are that, not only, they draw input current with very low distortion, but also,

    they generate smaller common-mode (CM) voltage, thus reducing the stress in the

    motor bearings. In addition, using sophisticated modulation methods, CM voltages

    can be eliminated.

    A high performance static AC-DC-AC converter is designed. The controller has a

    good control property. The system topology adopts two single-phase diode clamped

    inverters such that they are controlled independently in order to improve the perfor-mance under different load conditions. It is clear that, the phase-shifting transformer

    is an indispensable device in multipulse diode rectifiers, since it provides three main

    functions: (a) a required phase displacement between the primary and secondary line-

    to-line voltages for harmonic cancellation, (b) a proper secondary voltage, and (c) an

    electric isolation between the rectifier and the utility supply. With the help of the de-

    veloped algorithm, the switching angles are computed from the non-linear equation

    characterizing the Selective Harmonic Elimination problem to contribute minimum

    THD in the output voltage waveform. Therefore, lower order harmonics like 3 rd, 5th,

    7

    th

    , 9

    th

    , 11

    th

    ,

    13

    th

    , and 17

    th

    are eliminated and higher-order harmonics are optimizedin case of fundamental switching without using PWM. The selected harmonic elimi-

    nation is a popular issue in multilevel inverter design. The proposed selective harmon-

    ic elimination method has been validated using Matlab Simulink. The simulation

    results show that the proposed algorithm can be used to eliminate any number of

    specific lower order harmonics effectively and results in a dramatic decrease in the

    output voltage THD. In the proposed harmonic elimination method, the lower order

    harmonic distortion is largely reduced in fundamental switching.

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