design of a planar inductor for a low-profile dc-dc converter...imola | midterm workshop – ghent...
TRANSCRIPT
IMOLA | Midterm Workshop – Ghent – 15.04.2013. | J. Kundrata and A. Baric
Slide 1
Design of a planar inductor for
a low-profile DC-DC converter
J. Kundrata and A. Baric
Midterm Workshop
IMOLA | Midterm Workshop – Ghent – 15.04.2013. | J. Kundrata and A. Baric
Slide 2
Outline
Inductor design challenges
Planar inductor designs:
Single layer design
Double layer designs:
● Parallel
● Serial
Layer stack up designs:
OLED cathode influence
Ferrite (FPC) layer application
Inductor design in geometrical parameter space
Electrical inductor modelling
Conclusion
IMOLA | Midterm Workshop – Ghent – 15.04.2013. | J. Kundrata and A. Baric
Slide 3
Design challenges – OLED module geometry
The foil geometry requires a planar inductor structure
The OLED tile limits the available inductor area
The maximum inductance is determined by the inductor area
The OLED cathode is a conductive plane in proximity to the
inductor
It represents a GND plane mirroring the inductor currents
EXAMPLE
OLED SIZE
30 x 30 mm2
IMOLA | Midterm Workshop – Ghent – 15.04.2013. | J. Kundrata and A. Baric
Slide 4
Design challenges – Inductor requirements
Operating frequency 10 MHz
Input voltage 40 V
Output voltage 7,4 V
Output current 340 mA
The driver chip characteristics
Inductance 3 – 5 µH
Resistance < 1 Ω
Port capacitance < 50 pF
Resonant frequency > 50 MHz
The inductor requirements
Electrical π-network model
IMOLA | Midterm Workshop – Ghent – 15.04.2013. | J. Kundrata and A. Baric
Slide 5
Planar inductor design (I)
DESIGN CHALLENGE
Planar structure
Limited area
Spiral inductor design
Single layer design Double layer design
Parallel design
Serial design
Standard design
Alternating design
A reference design
IMOLA | Midterm Workshop – Ghent – 15.04.2013. | J. Kundrata and A. Baric
Slide 6
Planar inductor design (II)
Single layer design
Double layer design
Serial, standard design
fr = 52,7 MHz
Ls = 0,582 µH Rs = 2,72 Ω
C1 = 15,1 pF
C1 = 43,2 pF
fr = 176 MHz
Ls = 0,232 µH Rs = 1,02 Ω
C1 = 15,3 pF
C1 = 15,4 pF
Double layer design
Parallel design
fr = 162 MHz
Ls = 0,235 µH Rs = 0,552 Ω
C1 = 25,1 pF
C1 = 23,2 pF
The second layer
inductor in series
The second layer
inductor in parallel
IMOLA | Midterm Workshop – Ghent – 15.04.2013. | J. Kundrata and A. Baric
Slide 7
Planar inductor design (III)
fr = 99,4 MHz
Ls = 0,525 µH
Double layer design
Serial, alternate design
Rs = 2,15 Ω
C1 = 28,7 pF
C1 = 36,6 pF
Single layer design
fr = 176 MHz
Ls = 0,232 µH Rs = 1,02 Ω
C1 = 15,3 pF
C1 = 15,4 pF
Each turn of the first
and second layer
inductor in series
IMOLA | Midterm Workshop – Ghent – 15.04.2013. | J. Kundrata and A. Baric
Slide 8
Layer stack up design (I)
DESIGN CHALLENGE
OLED cathode
near the inductor
Layer stack up design
Without the ground plane With the ground plane
Without the ferrite layers
With the ferrite layers A reference design
IMOLA | Midterm Workshop – Ghent – 15.04.2013. | J. Kundrata and A. Baric
Slide 9
Layer stack up design (II)
FPC layer ([50 100] µm)
PET layer (200 µm)
FPC layer ([50 100] µm)
Adhesive layer (50 µm)
PET layer (200 µm) &
2 metallization layers
PET layer (200 µm)
Adhesive layer (50 µm)
+ OLED cathode
+ FPC layers
IMOLA | Midterm Workshop – Ghent – 15.04.2013. | J. Kundrata and A. Baric
Slide 10
Layer stack up design (III)
“Ferrite Polymer Compound” FPC
Layer of ferrite granules (D ~ 10 µm) and polymer filler compound
Applicable ferrite materials:
NiZn
MnZn
CoZrO
CoNiFe
Fe/SiO2 compounds
Brandon et al., 2003
IMOLA | Midterm Workshop – Ghent – 15.04.2013. | J. Kundrata and A. Baric
Slide 11
Layer stack up design (IV)
FPC application effects FPC thickness effects
OLED
cathode FPC
FPC
IMOLA | Midterm Workshop – Ghent – 15.04.2013. | J. Kundrata and A. Baric
Slide 12
Inductor design in geom. parameter space (I)
1. Rectangular grid in w-s-R space
2. Identifying the basic
mathematical relationships
3. Mathematical modelling
4. Modelling analysis in DC-DC converter specific context
The modelling workflow:
IMOLA | Midterm Workshop – Ghent – 15.04.2013. | J. Kundrata and A. Baric
Slide 13
Inductor design in geom. parameter space (II)
Qmax
high Q
C3,min
C3,min low C3 low C3
fr,min limit
Modelling results:
IMOLA | Midterm Workshop – Ghent – 15.04.2013. | J. Kundrata and A. Baric
Slide 14
Electrical inductor modelling (I)
Simple π-network models
• Interport resistance
• Interport inductance
• Port capacitances
Expanded π-network models
• Interport resistance
• Interport inductance
• Port capacitances
+
• Resonant behavior
• Skin effect
IMOLA | Midterm Workshop – Ghent – 15.04.2013. | J. Kundrata and A. Baric
Slide 15
Electrical inductor modelling (II)
Interport resistance Interport inductance
Simple
π-model
Expanded
π-model
IMOLA | Midterm Workshop – Ghent – 15.04.2013. | J. Kundrata and A. Baric
Slide 16
Conclusion
The foil structure of the IMOLA concept substantially restricts
the inductor design options
The foil structure implies a planar inductor structure and the
OLED tile size limits the maximum available inductor area
The OLED cathode degrades the inductor inductance
The DC-DC converter sets a number of inductor requirements
Besides the single layer inductor designs, numerous double
layer designs are available with differing electrical properties
Application of ferrite to layer stack up can shield the inductor
from the OLED cathode
A procedure for inductor design in geometrical parameter
space is presented
A simple and an expanded π-models are presented