Teaching of SwitchMode Power Electronics Using BuildingBlock pproach, ssisted by PSpice Modeling [, 2] Ned Mohan Email: mohan@ece.umn.edu Department of ECE University of Minnesota Minneapolis, MN 55455 US William P. Robbins Email: robbins@ece.umn.edu Please click on the udio button, making sure that speakers are turned on. udio
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 mohan@ece.umn.edu. 2. NSFSponsored Faculty Workshops on Teaching of Power Electronics and Electric Drives, held at the University of Minnesota, 99, 994, 997 and 998.
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
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
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, http://www.mnpere.com.
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
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
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
5a Reference 6. N. Mohan, Electric Drives: n Integrative pproach, year 2 edition, http://www.mnpere.com. review of this book appears in the IEEE Industrial Electronics Newsletter, Vol. 47, No. 3, September 2, http://sant.bradley.edu/ienews/_3/edrives.html.
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
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
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
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
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
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
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
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 R2 8. 2 U TCLOSE =.5ms R3 8. 8 Inductor Current () 7 6 5 4 3 2 Inductor current switching waveform Inductor current obtained from average model [7] Cyclebycycle average of the switching waveform 4 4. 4.2 4.3 4.4 4.5 4.6 4.7 4.8 Time (secs) x 3 Fig. 6b. Inductor current profile for a load change udio
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, http://www.mnpere.com. 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 2. 8. N. Mohan, Power Electronics Modeling Simplified using PSpice (Release 9), http://www.mnpere.com.
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
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
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
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
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 mohan@ece.umn.edu. 2. NSFSponsored Faculty Workshops on Teaching of Power Electronics and Electric Drives, held at the University of Minnesota, 99, 994, 997 and 998. 3. Mohan, Undeland and Robbins, Power Electronics: Converters, pplications and Design, 2 nd Edition 995, http://www.wiley.com. 4. N. Mohan, Tutorials on BuildingBlock pproach to SwitchMode Power Electronics at IEEEPEC, IEEEPESC and PCIM conferences. Continued
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, http://www.mnpere.com. 6. N. Mohan, Electric Drives: n Integrative pproach, year 2 edition, http://www.mnpere.com. review of this book appears in the IEEE Industrial Electronics Newsletter, Vol. 47, No. 3, September 2, http://sant.bradley.edu/ienews/_3/edrives.html. 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 2. 8. N. Mohan, Power Electronics Modeling Simplified using PSpice (Release 9), http://www.mnpere.com. 9