Teaching of Switch-Mode Power Electronics Using A Building-Block Approach, Assisted by PSpice Modeling
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1 Teaching of SwitchMode Power Electronics Using BuildingBlock pproach, ssisted by PSpice Modeling [, 2] Ned Mohan Department of ECE University of Minnesota Minneapolis, MN US William P. Robbins Please click on the udio button, making sure that speakers are turned on. udio
2 a References. NSFSponsored Faculty Workshop on Teaching of Power Electronics and Electric Drives, University of Minnesota, to be held in Tempe, rizona January 36, 22. For details, contact 2. NSFSponsored Faculty Workshops on Teaching of Power Electronics and Electric Drives, held at the University of Minnesota, 99, 994, 997 and 998.
3 2 Power Processing Unit (PPU) [3] Efficient conversion of power from line frequency C to appropriate form required by the load utility Rectifier V d Load switch mode converter controller Rectifier: Line frequency C to DC SwitchMode Converter: DC to form required by the Load udio
4 Benefits of BuildingBlock pproach [4, 5] 3 For Practicing Engineers Review material very quickly Learn new topics in a very short time For a First Course in Power Electronics Consistent Systematic nalysis of all converter topologies Clearly shows SwitchMode Synthesis using PWM Extremely Simple verage Model Speeds up Simulations of Large Disturbances by a factor of or more Same verage Model llows SmallSignal Response (Bode Plots) to be obtained using PSpice in CCM and DCM Modes for Feedback Controller Designs llows practical topics to be covered in a singlesemester course udio
5 3a References 4. N. Mohan, Tutorials on BuildingBlock pproach to SwitchMode Power Electronics at IEEEPEC, IEEEPESC and PCIM conferences. 5. N. Mohan, Learn a True BuildingBlock pproach to Power Electronics and Using this Unifying nalysis (ssisted by PSpice Modeling) to Design Feedback Controllers in SwitchMode dc Power Supplies, PowerFactorCorrection Circuits and Motor Drives, 4/2 hour video course,
6 SingleQuadrant Converters for SwitchMode DC Power Supplies 4 V in q Buck V o V o q i o Boost V in V in Buck/Boost q V o Click here for Transformer Isolated Topologies udio
7 SingleQuadrant TransformerIsolated DCDC Topologies 4a i in V in q(t) i in i o Flyback V o V in q(t) N N 2 N 3 v Forward V o FullBridge D T T 3 V in N 2 v V O T 4 T 2 N N 2 D 2 udio
8 5 FourQuadrant Converters for dc and acmotor drives [6] V d B i a M V d B C i a M For DC Drives For C Drives udio
9 5a Reference 6. N. Mohan, Electric Drives: n Integrative pproach, year 2 edition, review of this book appears in the IEEE Industrial Electronics Newsletter, Vol. 47, No. 3, September 2,
10 Implementation of a BiPositional Switch 6 Buck Boost Buck Boost V d i V d i = negative v c, v ramp q q Buck Boost vc, v ramp v tri q q () t i C q V d i ON approx switching trajectory v c, v tri q q () t q V on switching power loss for a very short time udio OFF V CE
11 Pole as a Building Block: Synthesis by PWM 7 V d voltage port i d vn () t i () t current port v control, () t vtri () t PWMIC q () t = or vn () t = q () t V d id() t = q () t i() t udio
12 v tri v control, 8 V(PWM_TRI.Vtri:) V(V2:). Synthesis by PWM SEL>> V d v V(PWR_SWITCH:out) 4 T s = dv N d dt s i i Time I(L).5 i d d SEL>> v = 2 2 Vˆ control, tri I(V) 7.35 i d = v di N () t = d () t Vd Time i () t = d () t i () t d udio
13 9 verage Representation of a Pole as n Ideal Transformer V d id () t voltage port pole i( t) vn () t current port V d id( t) i( t) d( t) vn () t v control, () t v tri () t PWMIC N q() t = or = v control, () t 2V tri Σ 2 / d v = 2 2 Vˆ control, tri v () t = q () t V N d i () t = q () t i () t d v () t = d () t V N d i () t = d () t i () t d udio
14 verage Representation of Quadrant Converters V in Vin q vcontrol v r Buck V o Boost Vin Vo dt s / Vˆ r Vˆr dt () V in vcontrol / Vˆ r v control t i o d() t q = q V o q Vo v dt () = control Vˆ r vcontrol / Vˆ r Buck/Boost udio dt () V in V o V in V o
15 pplication of Building Block Three Phase Inverter [6] Switching Converter verage representation i ( t) e ( t) V d q () t B C i i B i C n V d N id ( t ) idb ( t ) idc ( t) B C d ( t ) db ( t) dc ( t) v ( t) vb ( t ) vc ( t) ib ic ( t) ( t ) eb ec ( t) ( t) n Vˆc f vc, () t PWM vcb, () t IC vcc, () t v tri qb () t qc () t vc, ( t) vc, B( t) vcc, ( t) 2Vˆtri 2Vˆtri 2Vˆtri Σ Σ Σ / 2. v v control, v control, B v controlc, tri. s 4ms 8ms 2ms 6ms 2ms. V(V3:) V(VC_B) V(VC_C) V(PWM_TRI.Vtri:). Time d d B d C.5 s 4ms 8ms 2ms 6ms 2ms V(TWO_PORT:Ncp) V(TWO_PORT2:Ncp) V(TWO_PORT3:Ncp).5 Time udio
16 V in q(t) DiscontinuousConduction Mode in DCDC Converters [5, 7] i vp v v k V o i cp v dt s Ä T s Ä 2 T s Ä T s Ä 2 T s T s v DCM v, CCM,,CCM,crit,DCM 2 v vp i k N 2 vcp v L 2 N vk and i k are both zero in CCM. v control / Vˆ r v dt () = control Vˆ r N: N2= : d Buck, Buck/Boost = :( d) Boost udio
17 Simulation of Large Disturbances Using the verage Model V 8.5V [5, 7, 8] 3 TWO_PORT L R VP Nvp= common CP Ncp.75V uh IC = V2 m uf IC = C R U TCLOSE =.5ms R Inductor Current () Inductor current switching waveform Inductor current obtained from average model [7] Cyclebycycle average of the switching waveform Time (secs) x 3 Fig. 6b. Inductor current profile for a load change udio
18 References 3a 5. N. Mohan, Learn a True BuildingBlock pproach to Power Electronics and Using this Unifying nalysis (ssisted by PSpice Modeling) to Design Feedback Controllers in SwitchMode dc Power Supplies, PowerFactorCorrection Circuits and Motor Drives, 4/2 hour video course, 7. G. Nirgude, R. Tirumala and N. Mohan, New, LargeSignal verage Model for SingleSwitch DCDC Converters operating in both CCM and DCM, IEEEPESC, Vancouver, Canada, June N. Mohan, Power Electronics Modeling Simplified using PSpice (Release 9),
19 Frequency Response for Feedback Controller Design 4 [5, 8] For Buck and BuckBoost VL2 Ncp K VP V(Ncp,)*I(Eout) V(Ncp,) * V(VP, common) Eout GIN = E E CP IF(( ( (V(K,)*(I(Eout)))/(V(VP,VL2)*V(Ncp,)) )< ), ((((V(K,)*(I(Eout)))/(V(VP,VL2)*V(Ncp,))))*V(VL2,common)), ) common IF(( ( (V(K,)*(I(Eout)))/(V(VP,VL2)*V(Ncp,)) )< ), ( ( V(Ncp,)*V(Ncp,)*V(VP,VL2)/V(K,)) (V(Ncp,)*(I(Eout))) ), ) udio
20 Frequency Response for Feedback Controller Design cont. [5, 8] 5 d DB(V(VOUT_VG)) 2d SEL>> 4d Hz Hz.KHz KHz KHz.MHz P(V(VOUT_VG)) Frequency CCM response DCM response udio
21 PowerFactorCorrection (PFC) Circuit Use a boost dcdc converter to shape the rectified current 6 [5] i s i o v s d(t) v s v s V v o s = d( t ) V o load V s sin ω t d( t) = V o a f v s d(t) verage model C = V Inner Current Loop: (s) = o d sl Outer Voltage Loop: Vˆ ˆ s ˆ Vs i(t) ˆ o = IL Icos(2 L ωt) 2Vo 2Vo i ˆ o~ Vs (s) = ˆI 2V L~ o V o udio
22 SUMMRY 7. Consistent Systematic nalysis of switchmode topologies 2. Clearly shows SwitchMode Synthesis using PWM 3. Extremely Simple verage Model Speeds up Simulations of Large Disturbances by a factor of or more 4. Same verage Model llows SmallSignal Response (Bode Plots) to be obtained using PSpice in CCM and DCM Modes for Feedback Controller Designs 5. llows practical topics to be covered in a singlesemester course Ideal For: Practicing Engineers For a First Course in Power Electronics udio
23 8 References. NSFSponsored Faculty Workshop on Teaching of Power Electronics and Electric Drives, University of Minnesota, to be held in Tempe, rizona January 36, 22. For details, contact 2. NSFSponsored Faculty Workshops on Teaching of Power Electronics and Electric Drives, held at the University of Minnesota, 99, 994, 997 and Mohan, Undeland and Robbins, Power Electronics: Converters, pplications and Design, 2 nd Edition 995, 4. N. Mohan, Tutorials on BuildingBlock pproach to SwitchMode Power Electronics at IEEEPEC, IEEEPESC and PCIM conferences. Continued
24 References (contd.) 5. N. Mohan, Learn a True BuildingBlock pproach to Power Electronics and Using this Unifying nalysis (ssisted by PSpice Modeling) to Design Feedback Controllers in SwitchMode dc Power Supplies, PowerFactorCorrection Circuits and Motor Drives, 4/2 hour video course, 6. N. Mohan, Electric Drives: n Integrative pproach, year 2 edition, review of this book appears in the IEEE Industrial Electronics Newsletter, Vol. 47, No. 3, September 2, 7. G. Nirgude, R. Tirumala and N. Mohan, New, LargeSignal verage Model for SingleSwitch DCDC Converters operating in both CCM and DCM, IEEEPESC, Vancouver, Canada, June N. Mohan, Power Electronics Modeling Simplified using PSpice (Release 9), 9
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