电力电子建模与仿真实验二.docx
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电力电子建模与仿真实验二.docx
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电力电子建模与仿真实验二
Example5:
3-PhaseThyristorRectifierBridge
Problems
1.(a)Obtainva,vdandidwaveformsusingThyrect3.
Green:
Va,Red:
Vd,Blue:
Id
(b)Obtainvaandiawaveforms.
(c)Obtain(va)pcc,(vab)pccandiawaveforms.
2.Fromtheplots,obtainthecommutationintervaluandidatthestartofthecommutation.
Verify(验证)thefollowingcommutationequation:
whereLs=Ls1+Ls2.ForId,usetheaveragevalueofidoritsvalueatthestartofthecommutation.
averagevalueofid=23.459A
u=5.108°
cos(a+u)=0.641
=0.635
3.BymeansofFourieranalysisofis,calculateitsharmoniccomponentsasaratioofIs1.
FOURIERCOMPONENTSOFTRANSIENTRESPONSEI(L_Ls1a)
DCCOMPONENT=3.027748E-05
HARMONICFREQUENCYFOURIERNORMALIZEDPHASENORMALIZED
NO(HZ)COMPONENTCOMPONENT(DEG)PHASE(DEG)
16.000E+012.591E+011.000E+00-4.756E+010.000E+00
21.200E+026.800E-032.624E-04-9.772E+01-2.597E+00
31.800E+021.475E-045.693E-06-8.097E+016.172E+01
42.400E+027.200E-032.778E-041.695E+023.598E+02
53.000E+025.977E+002.306E-01-5.762E+011.802E+02
63.600E+021.650E-046.369E-061.730E+024.583E+02
74.200E+022.701E+001.042E-01-1.537E+021.793E+02
84.800E+026.615E-032.553E-041.562E+025.366E+02
95.400E+025.425E-052.094E-061.753E+026.034E+02
106.000E+026.756E-032.607E-046.227E+015.379E+02
116.600E+022.233E+008.615E-02-1.635E+023.597E+02
127.200E+021.348E-045.200E-066.503E+016.358E+02
137.800E+021.521E+005.869E-021.013E+027.196E+02
148.400E+025.914E-032.282E-044.837E+017.142E+02
159.000E+024.640E-051.791E-066.686E+007.201E+02
169.600E+026.088E-032.349E-04-4.516E+017.158E+02
171.020E+031.298E+005.009E-029.093E+018.995E+02
181.080E+031.663E-046.415E-06-3.839E+018.177E+02
191.140E+031.011E+003.900E-02-4.139E+008.995E+02
201.200E+034.938E-031.906E-04-5.981E+018.914E+02
211.260E+038.547E-053.298E-06-8.519E+019.136E+02
221.320E+035.071E-031.957E-04-1.526E+028.937E+02
231.380E+038.592E-013.316E-02-1.462E+011.079E+03
241.440E+031.707E-046.586E-06-1.261E+021.015E+03
251.500E+037.160E-012.763E-02-1.096E+021.079E+03
261.560E+033.641E-031.405E-04-1.692E+021.067E+03
271.620E+037.340E-052.832E-06-1.730E+021.111E+03
281.680E+033.752E-031.448E-049.800E+011.430E+03
291.740E+035.972E-012.304E-02-1.202E+021.259E+03
301.800E+031.324E-045.111E-061.355E+021.562E+03
TOTALHARMONICDISTORTION=2.852178E+01PERCENT
Is5/Is1=5.977/25.91=0.231
Is7/Is1=2.701/25.91=0.104
Is11/Is1=2.701/25.91=0.086
Is13/Is1=1.521/25.91=0.059
4.CalculateIs,%THDintheinputcurrent,theinputdisplacementpowerfactorandtheinputpowerfactor.
THD=28.52%,DPF==cos(-47.56)=0.675,Is1=18.32A,Idisp=5.15A,Is(rms)=19.03A
PF=0.650
5.Verifythefollowingequation:
Displacementpowerfactor
α=45°,,μ=10.22°,
=0.6742
DPF=0.675
6.Atthepointofcommoncoupling,obtainthefollowingfromthevoltagevpccwaveform:
(a)Line-notchdepthρ(%)
ρ(%)=273.996-258.096=15.9
(b)Line-notchareaand,
[(255.811-266.899)+15.9]*(12.043-11.800)/2=3.279(V*ms)
(c)voltageTHD%
THD%=3.013%
7.ObtaintheaveragedcvoltageVd.Verifythat
.
ForId,usetheaveragevalueofidoritsvalueatthestartofthecommutation.
Vd(avg)=DCCOMPONENT=1.875908E+02=187.59V
averagevalueofid=23.459A
=1.35*208*cos(45)-3*2*60*0.0012*23.459=188.42V
Problems
1.(a)Obtainva,vdandidwaveformsusingThyinv3
(b)Obtainvaandiawaveforms
2.CalculateIs,%THDintheinputcurrent,theinputdisplacementpowerfactorandtheinputpowerfactor.
FOURIERCOMPONENTSOFTRANSIENTRESPONSEI(L_Lsa_L)
DCCOMPONENT=-1.354084E-02
HARMONICFREQUENCYFOURIERNORMALIZEDPHASENORMALIZED
NO(HZ)COMPONENTCOMPONENT(DEG)PHASE(DEG)
16.000E+011.620E+011.000E+002.945E+010.000E+00
21.200E+021.344E-028.298E-04-1.757E+02-2.346E+02
31.800E+025.968E-033.684E-041.757E+028.736E+01
42.400E+027.628E-034.709E-04-1.080E+02-2.258E+02
53.000E+024.149E+002.562E-01-2.815E+01-1.754E+02
63.600E+027.563E-044.669E-051.583E+02-1.844E+01
74.200E+021.389E+008.573E-023.144E+00-2.030E+02
84.800E+026.237E-033.851E-04-1.416E+02-3.772E+02
95.400E+021.971E-031.217E-041.583E+02-1.068E+02
106.000E+025.717E-033.529E-04-8.280E+01-3.773E+02
116.600E+021.445E+008.918E-02-4.308E+01-3.671E+02
127.200E+023.834E-042.367E-051.373E+02-2.162E+02
137.800E+028.324E-015.139E-027.811E+00-3.751E+02
148.400E+025.678E-033.506E-04-1.290E+02-5.414E+02
159.000E+021.185E-037.315E-051.427E+02-2.991E+02
169.600E+025.486E-033.387E-04-7.260E+01-5.439E+02
171.020E+038.556E-015.282E-02-5.098E+01-5.517E+02
181.080E+032.623E-041.619E-051.162E+02-4.139E+02
191.140E+035.942E-013.668E-023.584E+00-5.560E+02
201.200E+035.547E-033.425E-04-1.218E+02-7.108E+02
211.260E+038.490E-045.242E-051.273E+02-4.912E+02
221.320E+035.452E-033.366E-04-6.627E+01-7.142E+02
231.380E+035.984E-013.695E-02-5.816E+01-7.356E+02
241.440E+032.041E-041.260E-059.540E+01-6.115E+02
251.500E+034.572E-012.823E-02-2.319E+00-7.387E+02
261.560E+035.562E-033.434E-04-1.161E+02-8.819E+02
271.620E+036.631E-044.094E-051.121E+02-6.832E+02
281.680E+035.507E-033.400E-04-6.119E+01-8.859E+02
291.740E+034.533E-012.799E-02-6.519E+01-9.193E+02
301.800E+031.707E-041.054E-057.492E+01-8.087E+02
TOTALHARMONICDISTORTION=3.010848E+01PERCENT
THD=30.11%
DPF=0.869
Is1=11.48AIsdisp=3.40AIs(rms)=11.97A
PF=0.832
3.Studythestartupoftheinverteroperation.Increasethedelayangletoavaluecloseto180︒andlookattheva,vdandidwaveforms.Repeattheaboveprocedureby
reducingαslowlytoitsnominalvalueof160︒.PlottheaveragedccurrentIdversus
α.
α=178°
α=178°I=558.91Aα=176°I=569.56A
α=174°I=558.33Aα=172°I=561.50A
α=170°I=557.65Aα=168°I=522.79A
α=166°I=0α=164°I=300.01A
α=162°I=511.80Aα=160°I=14.64A
Figure:
I=f(α)
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