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CURRENT
PROGRAMMED MODE
OF BUCK CONVERTER
PRESENTED BY: SWATHI M NAIR
IDK18EEPC16
GUIDED BY : VISHAL M J
SYNOPSIS
•Current Programmed Mode(CPM)
•Buck converter
•Circuit and Design
•Closed loop control
•Bode plot
•Controlled waveform
•Advantages
•Conclusion
•Reference
23/06/2019 CPM OF BUCK CONVERTER 2
INTRODUCTION
•CPM : By limiting the inductor current or switch
current.
•Two control loops voltage mode control and current
mode control
•Inductor current is sensed and compared with
reference voltage.
•Switch off and switch on is based on this comparison.
•Voltage mode has a disadvantage of small frequency
band width.
•CPM is simple , robust and has wide frequency
band width output voltage.
23/06/2019 CPM OF BUCK CONVERTER 3
CIRCUIT AND DESIGN
23/06/2019 CPM OF BUCK CONVERTER 4
Contd..
• Power ,P =50W
• Input Voltage ,Vin =16-24V
• Output voltage, Vout=12V
• Switching Frequency =50kHz
• Output current Io=
50
12
= 4.125𝐴
• Load resistance R=
12
4.125
= 2.909𝑜ℎ𝑚
• ΔIL=10% of IL=0.4125A
• Δvo=1% of Vo=0.12V
• L=
𝑉𝑂 (1−𝐷)
Δ𝐼𝐿 𝑓𝑠
=300µH with ESR=0.1Ω
• C=
Δ𝐼𝐿
8𝑓𝑠 𝑉𝑜
=100µF with ESR=0.1Ω
23/06/2019 CPM OF BUCK CONVERTER 5
Contd..
• MOSFET- IRFZ44
• DIODE- STPS2045CT
• CURRENT SENSOR-ACS712 Hall effect current sensor
• PIC16F877A-Digital PID controller
• Transfer function
• A avg=
−𝑟𝑙+
𝑅 𝑟𝑐
𝑅+𝑟𝑐
𝐿
−𝑅
𝐿(𝑅+𝑟𝑐)
𝑅
𝑅+𝑟𝑐 𝐿
−1
𝐶(𝑟𝑐+𝑅)
23/06/2019 CPM OF BUCK CONVERTER 6
Contd..
• B avg= {[
1
𝐿
0]𝐷} 𝑇
• C avg = [
𝑅 𝑟𝑐
𝑅+𝑟𝑐
𝑅
(𝑅+𝑟𝑐)
]
• Transfer function =C[SI−A]−1
B
=
319.99𝑆+32192308.07
𝑆2+6235.8𝑆+40893466.6
=
319.9(𝑆+100604.10)
(𝑆+ 3117.9+5583𝑖 )(𝑆+(3117.9−5583𝑖))
• PI controller design
• Phase margin=29.2
• Kp=2
• Ki=2340*2
23/06/2019 CPM OF BUCK CONVERTER 7
INDUCTOR DESIGN
• L=300µH
• Area product=
𝐿𝐼2
2
• Ap=Aw Ac=
2𝐸
𝐾𝑤𝐾𝑐𝐵𝑚
=21039.6𝑚𝑚2
• Kw=0.3
• Kc=1.01
• J=4*106
A/MM^2
• B=0.2T For ferrite
• By choosing ferrite core characteristcs P 32/22
• Ac=201𝑚𝑚2
𝑎𝑛𝑑 𝐴𝑤 = 101𝑚𝑚2
• N=
𝐿𝐼
𝐴𝑐𝐵𝑚
=31 turns
• Wire gauge=
𝐼
𝐽
: SWG 16 is proper chice
• Air gap length=
µ0𝑁2 𝐴𝑐
𝐿
=0.809mm
23/06/2019 CPM OF BUCK CONVERTER 8
Bode plot
23/06/2019 CPM OF BUCK CONVERTER 9
Closed loop simulation
23/06/2019 CPM OF BUCK CONVERTER 10
Waveform
23/06/2019 CPM OF BUCK CONVERTER 11
Advantages
• Simple dynamics
• Simple compensation network,robust
• Wide band width output voltage control
• Output current is proportional to the control voltage, the
output current can be limited simply by clamping the control
voltage.
• Higher power applications, power stages can be connected
in parallel. Since the output currents are proportional to the
control voltages.
• Automatic feed forward from the line voltage
23/06/2019 CPM OF BUCK CONVERTER 12
Conclusion
• Current programmed mode is the simple model of control.
• Over current does not flow through the circuit, so the circuit never
gets damaged due to over current.
• The disadvantage of this circuit is susceptibility to noise, which can
be over comes by adding a artificial ramp signal.
• Turn on and turn off are determined by the times at which switch
current reaches threshold value.
23/06/2019 CPM OF BUCK CONVERTER 13
Reference
• Fundamentals of Power Electronics SECOND EDITION, Robert W.
Erickson University of Colorado
• Boulder, Colorado State Space Modelling of a BUCK Converter and
Designing a Controller A thesis report submitted to the department
of electrical engineering of BARC university .
• State Space Modelling Of Current-mode Control And Its Application
To Input Impedance Shaping Of Power Electronic Constant-power
Loads :Sean C. Smithson
• Course Material On Switched Mode Power Conversion --V.
Ramanarayanan
• VENABLE TECHNICAL PAPER : Current Mode Control
• Design of magnetic components for switch mode converters-
Umanand
23/06/2019 CPM OF BUCK CONVERTER 14
THANKYOU.!
23/06/2019 CPM OF BUCK CONVERTER 15

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Current programmrd mode of buck converter

  • 1. CURRENT PROGRAMMED MODE OF BUCK CONVERTER PRESENTED BY: SWATHI M NAIR IDK18EEPC16 GUIDED BY : VISHAL M J
  • 2. SYNOPSIS •Current Programmed Mode(CPM) •Buck converter •Circuit and Design •Closed loop control •Bode plot •Controlled waveform •Advantages •Conclusion •Reference 23/06/2019 CPM OF BUCK CONVERTER 2
  • 3. INTRODUCTION •CPM : By limiting the inductor current or switch current. •Two control loops voltage mode control and current mode control •Inductor current is sensed and compared with reference voltage. •Switch off and switch on is based on this comparison. •Voltage mode has a disadvantage of small frequency band width. •CPM is simple , robust and has wide frequency band width output voltage. 23/06/2019 CPM OF BUCK CONVERTER 3
  • 4. CIRCUIT AND DESIGN 23/06/2019 CPM OF BUCK CONVERTER 4
  • 5. Contd.. • Power ,P =50W • Input Voltage ,Vin =16-24V • Output voltage, Vout=12V • Switching Frequency =50kHz • Output current Io= 50 12 = 4.125𝐴 • Load resistance R= 12 4.125 = 2.909𝑜ℎ𝑚 • ΔIL=10% of IL=0.4125A • Δvo=1% of Vo=0.12V • L= 𝑉𝑂 (1−𝐷) Δ𝐼𝐿 𝑓𝑠 =300µH with ESR=0.1Ω • C= Δ𝐼𝐿 8𝑓𝑠 𝑉𝑜 =100µF with ESR=0.1Ω 23/06/2019 CPM OF BUCK CONVERTER 5
  • 6. Contd.. • MOSFET- IRFZ44 • DIODE- STPS2045CT • CURRENT SENSOR-ACS712 Hall effect current sensor • PIC16F877A-Digital PID controller • Transfer function • A avg= −𝑟𝑙+ 𝑅 𝑟𝑐 𝑅+𝑟𝑐 𝐿 −𝑅 𝐿(𝑅+𝑟𝑐) 𝑅 𝑅+𝑟𝑐 𝐿 −1 𝐶(𝑟𝑐+𝑅) 23/06/2019 CPM OF BUCK CONVERTER 6
  • 7. Contd.. • B avg= {[ 1 𝐿 0]𝐷} 𝑇 • C avg = [ 𝑅 𝑟𝑐 𝑅+𝑟𝑐 𝑅 (𝑅+𝑟𝑐) ] • Transfer function =C[SI−A]−1 B = 319.99𝑆+32192308.07 𝑆2+6235.8𝑆+40893466.6 = 319.9(𝑆+100604.10) (𝑆+ 3117.9+5583𝑖 )(𝑆+(3117.9−5583𝑖)) • PI controller design • Phase margin=29.2 • Kp=2 • Ki=2340*2 23/06/2019 CPM OF BUCK CONVERTER 7
  • 8. INDUCTOR DESIGN • L=300µH • Area product= 𝐿𝐼2 2 • Ap=Aw Ac= 2𝐸 𝐾𝑤𝐾𝑐𝐵𝑚 =21039.6𝑚𝑚2 • Kw=0.3 • Kc=1.01 • J=4*106 A/MM^2 • B=0.2T For ferrite • By choosing ferrite core characteristcs P 32/22 • Ac=201𝑚𝑚2 𝑎𝑛𝑑 𝐴𝑤 = 101𝑚𝑚2 • N= 𝐿𝐼 𝐴𝑐𝐵𝑚 =31 turns • Wire gauge= 𝐼 𝐽 : SWG 16 is proper chice • Air gap length= µ0𝑁2 𝐴𝑐 𝐿 =0.809mm 23/06/2019 CPM OF BUCK CONVERTER 8
  • 9. Bode plot 23/06/2019 CPM OF BUCK CONVERTER 9
  • 10. Closed loop simulation 23/06/2019 CPM OF BUCK CONVERTER 10
  • 11. Waveform 23/06/2019 CPM OF BUCK CONVERTER 11
  • 12. Advantages • Simple dynamics • Simple compensation network,robust • Wide band width output voltage control • Output current is proportional to the control voltage, the output current can be limited simply by clamping the control voltage. • Higher power applications, power stages can be connected in parallel. Since the output currents are proportional to the control voltages. • Automatic feed forward from the line voltage 23/06/2019 CPM OF BUCK CONVERTER 12
  • 13. Conclusion • Current programmed mode is the simple model of control. • Over current does not flow through the circuit, so the circuit never gets damaged due to over current. • The disadvantage of this circuit is susceptibility to noise, which can be over comes by adding a artificial ramp signal. • Turn on and turn off are determined by the times at which switch current reaches threshold value. 23/06/2019 CPM OF BUCK CONVERTER 13
  • 14. Reference • Fundamentals of Power Electronics SECOND EDITION, Robert W. Erickson University of Colorado • Boulder, Colorado State Space Modelling of a BUCK Converter and Designing a Controller A thesis report submitted to the department of electrical engineering of BARC university . • State Space Modelling Of Current-mode Control And Its Application To Input Impedance Shaping Of Power Electronic Constant-power Loads :Sean C. Smithson • Course Material On Switched Mode Power Conversion --V. Ramanarayanan • VENABLE TECHNICAL PAPER : Current Mode Control • Design of magnetic components for switch mode converters- Umanand 23/06/2019 CPM OF BUCK CONVERTER 14
  • 15. THANKYOU.! 23/06/2019 CPM OF BUCK CONVERTER 15