Journal Paper-Design and Development of Compact DC DC Converter
Journal Paper-Design and Development of Compact DC DC Converter
Journal Paper-Design and Development of Compact DC DC Converter
Volume 5 Issue 1
DOI: https://doi.org/10.5281/zenodo.6656062
K. Umesha
Department of Electrical and Electronics Engineering, Jawaharlal College of Engineering
and Technology, Kerala, Karnataka, India
Corresponding Author
E-Mail Id: umesh_nandhini@yahoo.co.in
ABSTRACT
Efficient conversion of Electrical power is becoming a primary concern to aircrafts.
Switching power supplies (SMPS) offer not only higher efficiencies but also offer greater
flexibility to the designer. This paper depicts an overview of all the issues involved in
designing S.M.P.S. It describes the operation of the fly back topology, its relevant
parameters, circuit design tips, and information to select the most suitable semiconductor
and passive components. Regulation of the output is carried out by the feedback concept.
S.M.P.S. operates on a fixed frequency pulse width modulation basis compensates for
changes in the input and output load. The error voltage is used by dedicated control logic to
terminate the drive pulse to the main power switch at the correct instance. Delays in the
control loop are kept to a minimum, Hence, very high speed components must be selected for
the loop. Electronic isolation is achieved by using an opto-isolator S.M.P.S. topology
contains a power transformer provides isolation, voltage scaling through the turns ratio, and
multiple outputs. In this proposed project, dc-dc converter fly back technology is found as
more effective in terms of cost, size & performance. Converter is specially designed and
developed for tight regulation with special considerations to satisfy the operating conditions
of critical loads in aircrafts. The fly back converter switching power supply is the best choice
for output 10 watts to 120 watts with multiple outputs.
two states, ON or OFF leads to least ongoing streaming with high voltage
power dissipation and power conversion across the gadget. This results in a much
can be accomplished with minimal power lower power being dissipated within the
loss, which equates to high efficiency. supply. The typical exchanging power
supply displays efficiencies of between70
Switching regulator is a switching circuit to 90 percent, no matter what the input
that operates in a closed loop system to voltage.
regulate the power output. Switching
power supplies offer greater flexibility to During the "on" period, energy is being
the designer. put away inside the center material of the
inductor as transition. There is adequate
LINEAR VERSUS SWITCHING energy put away to convey the necessities
POWER SUPPLIES of the heap during the following off
The linear regulator operates by reducing period. The following time frame is the
a higher input voltage down to the lower "off" time of the power switch.
output voltage by linearly controlling the
conductivity of a series pass power device When the power switch turns off, the
in response to changes in its load. xdeinput voltage of the inductor flies
below ground and is clamped at one diode
This outcomes in an enormous voltage drop below ground by the catch
being set across the pass unit with the diode.Current presently starts to move
load current moving through it. This loss through the catch diode in this way
(Vdrop xI load) causes the linear regulator to keeping up with the heap current loop.
only be 30 to 50 percent efficient. Each This eliminates the put away energy from
watt delivered to the load, at least a watt the inductor.
has to be dissipated as heat. The cost of
the heat sinks actually makes the linear Yet again this period closes when the
regulator uneconomical above 10 watts power switch is turned on. Guideline is
for small applications. Underneath that achieved by fluctuating the on-to-off the
point, notwithstanding, they are duty cycle of the power switch. The
financially savvy in step-down relationship which approximately
applications. describes its operation is (∂ = ton/ (ton + t
easy way
The exchanging controller works the to comply with the conference paper
power gadgets in the full-on and cutoff. formatting necessities is to involve this
This then brings about either enormous record as a format and basically type your
flows being gone through the power text into it.
gadgets with a low "on" voltage or no
Resistive drop due to inductor resistance and transformer winding: (Vrl) =10% of Vo
D max: 70%
Window utilization factor: K=0.4
Efficiency: (η) =0.8
V cc min: 18V DC
V cc max: 36V DC
Design Steps
Step 1: To find output power
Where
P02 = (16 × 3 + 6 × 2 + 28 × 1 + 6 × 2)
P02 = 100 watts
It is necessary to calculate the transformer peak primary current first, which is also equal to
transistor peak collector current or (MOSFET’s Drain current).
From the fundamental inductor voltage relationship, the rate of rise is determined by
di
V = L dt (3)
Ipp
Vin = LP [ t ] (4)
c
Taking
1 f
=D (5)
tc max
The output power in complete energy transformer mode is equal to the energy stored per
cycle times the operating frequency,
2
Pout = ½Lp Ipp f (7)
2 × 100
Ipmin = Ic = = 15.87Amps
18 × 0.7
18 × 0.7
Lp(max) =
15.87X90 × 103
Relate minimum and maximum duty cycles. In fly back converter, regulation is accomplished
by varying the duty cycle of the switch through pre-determined limits, which is designated as
D min and D max. If the converter input voltage varies from Vin min to Vin max the
Dmax
Dmin = V (11)
Dmax +(1−Dmax ) ccmax
Vccmin
0.7
Dmin =
36
0.7 + (1 − 0.7) 18
Therefore the converter will operate over the duty ratio range of 0.538<D<0.7 for the input
voltage range of 36 Vdc > V in > 18Vdc.
Now we can select a core and start the design of physical transformer.
1 4D 4(1−D)
P02 [ √ +√ ]
n 3 3
Ap = (12)
KW JBmax fs
Where
fs=switching frequency=90 kHz
Kw=0.2(Window factor)
B max=maximum flux density=0.2 Tesla=0.2wb/m2
D max=0.7
J=current Density=4Amp/mm2=4x10-6 Amp/mt2
For this value of Ap, from Appendix EE 42/15 core is selected. For this core the cross
sectional area is Ac=1.82x100=182 mm2 Window area Aw =2.56×100mm2=256
Step 6: Calculation of Core Air Gap Length Lg
The fly back converter is operating single thus lowering the working flux density for
ended; that is the transformer-choke uses the same dc bias.
just half the flux capacity. Since the
current and flux never go negative. This If an EE type core or similar type is used
fact may drive core into saturation. To to construct the transformer- choke, the
handle this problem two solutions are counter legs may be gapped to the air gap
possible, first use a core with very large length Lg or Lg may be equally divided
volume or second introduce an air gap in between the outside legs of the core if a
the flux path to flatten the hysteresis loop, spacer is used.
Ac = 182mm2
4πx10−7 x8x8x182x10−6
Lg =
9x10−6
Lg=1.626mm
For 27V:n1
(27 + 1.0) [(1 − 0.7)]
n1 = [ ] = 0.667
18 0.7
For 15V:n2
(15 + 1.0) [(1 − 0.7)]
n2 = [ ] = 0.381
18 0.7
For ±5V; n3 =n4
(5 + 1.0) [(1 − 0.7)]
n3 = [ ] = 0.143
18 0.7
36 × 0.7
Npri = = 7.69 ≅ 8turns
182 × 0.2 × 10−6 × 90 × 103
If the calculation result in Non-integer number of turns round off to the closest integer
number.
For bias winding 12 V is required to operate IC3842 therefore 3 turns are taken on secondary
side bias winding.
2Pout
Ipp = Imin = V (17)
in(min) ×Dmax
2 × 100
Ipp = = 15.87Amps
18 × 0.7
To minimize the losses due to skin effect, eight wires of AWG-21(1290C.m) are used in
parallel which corresponds to above 6348C.m to carry 15.37 Amps.
N
Vds(MOSFET) > Vin(max) + N pri (Vout + VD ) + Vspike(est) (18)
sec
8
Vds(MOSFET) > 36 + (27 + 1.0) + 35
6
𝑉𝑑𝑠(𝑀𝑂𝑆𝐹𝐸𝑇) = 109𝑣𝑜𝑙𝑡𝑠
For additional margin let’s use greater than 20A rating MOSFET
The selected MOSFET was IRFP250A which has the following features.
Voltage rating= 27V (VCs)
Current rating=32A (ID)
Power rating =204W (Po)
RDS (on)=0.085Ω@VGS=10V
Low gate charge (typical 95nc)
Low Cress (typical75pf)
𝑑𝑣
Fast switching 100% avalanche tested, & improved 𝑑𝑡
Design Consideration for Driving the frequencies. First minimize all lead
Power MOSFET lengths going to the MOSFET terminals,
There are basically two very simple especially the gate lead. If short leads are
design rules associated with MOSFET not possible, we may use a ferrite bead or
application which will prevent the switch a small resistor R1 in series with the
from oscillating when used in high MOSFET as shown in fig (1)
Second because of the extremely high The resistor R2 in the circuit is used to
input impedance of the MOSFET, the assist transistor turn-off. The rise and fall
driving source impedance must be low in times of the MOSFET depend on the
order to avoid positive feedback which driving generator impedance. An
may lead to oscillations. approximation of the rise and fall times is
given by the following equation:
Where, 𝐼𝐷 =Drain current,𝑉𝐷𝑆 =Drain to source voltage,𝑡𝑟 =Rise time,𝑡𝑓 =Fall time.
Solving equation for capacitance C we get
I (t +tf )
C = [ D Vr ] (25)
DS
𝑉𝐷𝑆𝑚𝑎𝑥 =113
8(240 + 195)
=[ ] = 30nFor0.03µF
113
t
on 4.98×10−6
R = 3C = 3×0.03×10−6 = 55.3Ω (26)
With value calculated for R above, we must check the capacitor discharge current through the
switch at turn-on and restrict to about 0.25Ic using the following formula.
Discharge current
𝑉𝐷𝑆 113
𝐼𝑑𝑖𝑠 = =
𝑅 55.3
If the resistor is too low &𝐼𝑑𝑖𝑠 >0.25ID the R may be arbitrarily raised to fulfill the constraint
𝐶𝐸 𝑉
𝑅 = 0.25𝐼 (28)
𝐷
Select an ultra-fast recovery power diode which has voltage rating of 200V ¤t rating of
20A.The selected diode was BYV-32-200(Philips)
Where
CGS =gate to source capacitance PF,Ciss =input capacitance, PF, Crss =reverse transfer
capacitance, PF,VGS =gate to source voltage, V & t r =input pulse rise time, ns
P = VCE IC t r f (32)
P = 8 × 0.294 × 240 × 10−9 × 100 × 103
= 0.056 watts
Conclusion: The selected transistors for driving the MOSFETS are mps 2907(NPN) & mps
2222A (PNP)
Conclusion:
For 27v output, choose a diode with voltage rating of 100V & current rating 2Amps
For 15v output, choose a diode with voltage rating of 50V & current rating 5Amps
For ±5V output, choose a diode with voltage rating of 50V & current rating 3Amps
Take Bm=0.2TESLAfor ferrite core, J=3A/mm2, Kc=1 for square wave& Kw=0.6
Now
1
E = 2 × 90 × 10−6 × 9 =0.000405
2(0.000405)
Ap = Aw Ac = 0.6×1×3×106 ×0.2
Ap=2.25X10 -9m4=225252.525mm4
Now choose the core from appendix-I which has Ap higher than the value calculated above,
From the appendix-I the selected core is P 26/16
90 × 10−6 × 3
N= ≅ 15turns
94 × 10−6 × 0.2
The gauge of wire can be calculated form equation given below. Taking J=3A/mm2
A=I/J where I=Iout, A=3/3= 1mm2
I(T−ton ) 1(10−4.98)×10−6
V= (39) C0 = = 50.2uF
C0 100×10−3
Then
Iout(max) ×Toffmax For 5 volts (allowing a ripple of 50mV)
C0 = (40)
Vripple(max) Output capacitor
Conclusion:
In general output ripple is limited by the ESR of the capacitors and +the actual capacitance. If
low output ripple is required, an output filter may be a better choice than simply using large
output capacitor.
For 27 volts output C0 =33.467uF
For 15 volts output C0 =50.2uF
For ±5 volts output C0 =100.4uF
K. DESIGN OF OPTO COUPLER
VBE 0.7
R sc = = = 0.175Ω (42)
IP 4
Watt agerating=I2 R = 42 × 0.175Ω = 2.8 watts (43)
Use0.175/5w resistor
The first step in designing the oscillator components is to determine the required circuit dead
time .once obtained graphs on data sheets of PWM IC is used to pinpoint the nearest standard
value of Ct for the given dead time.
Calculate RT and CT from the graphs on the data sheet [at 100 KHz and at required dead
time] from graph at 2uS dead time, the value of CT=2.2nF
Next the approximate RT value is interpolated using parameters for CT and oscillator
frequency.
1.72
Fosc(KHZ) = [R (K)×C (uF)] (44)
T T
1.72
R T (K) = [ ] = 7.81
100 × 103 × 2.2 × 10−9
Use Rstart-up=3.9K/1/2 w
[−Vsense ×RDM ]
R sense = [V --------------------- (45)
sense −IPK ×RDS(on) ]
[−0.7 × 288]
R sense = = 421
[0.7 − 13.87 × 0.085]
R DS(on) &R DM are from data sheet
Vout ×Iout
η=V (48)
in(nominal) ×Iin
(i) For 5v
4.98 × 1.95
η= x100 = 76.2%
28 × 0.455
(ii)For 15v
14.99 × 2.88
η= x100 = 77%
28 × 1.2
(iii)For 27v
26.90 × 0.98
η= x100 = 78.45%
28 × 1.2
Switching Loss: Switching losses of a One reason for the fame of Pspice is the
diode means the sum of reverse recovery accessibility and the ability to share its
losses and reverse leakage current assessment adaptation openly at no
losses. expense. This assessment rendition is
extremely strong for power electronics
Fringing & Leakage Flux Loss: Losses simulations.
of a magnetic component divided into
three part, core losses means the total ac PSpice, presently created towards more
losses including the hysteresis and eddy mind boggling industry necessities, is
current losses. “Conduction losses” coordinated in the total systems
means the dc copper losses. Fringing & configuration stream from OrCAD and
leakage flux losses means the sum of all Cadence Allegro.
ac losses in the copper, e.g. ac losses
caused by skin and proximity effect, It also supports many additional
eddy current losses caused by fringing features, such as analysis with automatic
flux, etc. optimization of a circuit, encryption, a
Model Editor, support of parameterized
Waveform Analysis: Waveform analysis models, several internal solvers, auto-
typically plots voltage and current of convergence and checkpoint restart,
important components at a specific magnetic part editor and Tabrizi core
operating condition model for non-linear cores.
Module. The digital control can be The components used for fabrication
implemented in either block diagram purpose were not available in the
or custom C code. EDA software library.
PowerEsim has a built-in C The different types of simulations
compiler which allows you to enter were required for the comprehensive
your own C code into PowerEsim analysis of proposed technology.
without compiling. This makes it As the actual circuit poses driving
very easy and flexible to implement circuit problem for multiple outputs.
your own function or control The combined simulation analysis
methods. was not possible.
We can use the Thermal Module to The conventional EDA freeware
calculate semiconductor device software was not flexible to use it for
losses (conduction losses and multiple output analysis. For
switching losses) based on the instance, in loop analysis various
device information from compensation techniques are not
manufacturers' datasheet. available. Only there is a limited
scope for temperature based analysis
SELECTION OF CIRCUIT in conventional
STRUCTURE Hence the proposed project was
The schematic arrangement shown in fig analyzed with the help of
(4.2) has been choosen for simulation POWERESIM software, which has
purpose is emphasized with the reasons been developed exclusively for
highlighted as given below. SMPS analysis.
The actual circuit is fabricated for an
ac input, but the design requirement
allows us to use dc input directly.
C7 R10
1n 1k coil
D2
FUSE/SM D5 C1
11kv
R3 100uf/35v
C3 D3 R11 C10
3
100E/2w C16 10uf/63v o/p
1kpf 100uf/400v C8 2k D5
-
C4
mov 4 2 220pf/1kv
I/p
D5 C17
+
1n
47k
1
R1
47k
C2 1kv
1kpf
R2
1kv
PI48
R5 M1
TOP3
22E or
TO220
R7
100k
R4
R6 3W
1k
D4
R8 D5
1k R9
330PF/35V C15 1k L1
C14 10uf/63v C5
1n
R18
C21
10k
UC3842 102
D12 C22
I mode PWM IC BA157 R13
1n
8 1 C19 1k
Vref Comp
7 2 104 C9
VCC VFB 104 4 1
3
6 Isense PC817
GATE
4 3 2
C23 5 GND RTCT
104
C20 102
R17
27k R14
2k
R16
20k
D13 C12
LM135A/TO 1uf/63v
C26
1pf/1kv
R15 R12
2k 2k
Fig. 6: Ch1-M1 drain source voltage waveformCh2-M1 drain current waveform Time Base-4
us/Div [Ta=25 Deg,.Vo1=12.63 V; Vo2=3.875 V; Vo3=23.41 V; Vin=18 V Io1=3 A; Io2=2 A;
Io3=1 A;].
The ripple of prototype is shown in photographic view which is enclosed in appendix part.
The Loop Analysis provides the interface The Bode plot of the proposed system is
to customize the transfer function and plotted and the results are depicted as
shows the gain and phase of the transfer shown in figure (10).The point of
function G(s) intersection of 0dB line with magnitude
plot is called as gain cross over point
which is projected to meet frequency axis gives the phase cross over frequency. In
referred as gain cross over frequency. The the proposed plot the phase crossover
gain cross over frequency of the proposed frequency is 68.72 kHz .The line
converter is 8174.5 Hz. The intersecting projected vertically upwards to meet the
point of -180 degree line to phase plot gain plot at some point say X.
Fig. 10: Gain Cross-over Freq=8174.54 Hz Gain Margin=40 dB, Phase cross over
frequency=68.72 kHz Phase Margin=60.05 Deg.
The difference in gain measured in dB phase margin are positive then the system
between X and 0dB line is taken as gain is said to be stable. If any one of them is
margin .In the proposed plot the gain negative (either gain margin or phase
margin is 40dB.The line projected margin), the system is said to be unstable.
vertically downwards to meet the phase In contrast of the aforesaid conditions the
plot at some point say Y, the difference in proposed system depicts the second
phase between the point Y and the 0 dB condition hence the system is stable. In
line is treated as phase margin in the the due course of the stability analysis
proposed plot it is found as 60degrees.The exercise, the system stability was found
conditions of bode plot says that If gain marginally stable but later it was
cross over frequency is equal to phase compensated in terms of gain to obtain
cross frequency then the system is said to stable system.
be marginally stable. If gain margin and
Power Dissipation
The plot of power dissipation versus input obvious from the plot that there is more
voltage shown in figure (11) reveals that power dissipation at lesser input voltage
as the input voltage varies the dissipation and less dissipation at greater voltage. It is
will linearly descend about 1 watt. It is the fact that, initially greater power is
Efficiency (η)
The plot of efficiency (η) versus input voltage increases more steadily indicating
voltage shown in figure (12) depicts the improved efficiency. It is true that the
information of closed loop performance converter draws more power to accelerate
under different load conditions. The it from initial stage. It is concluded from
efficiency increases steadily as a mirror above discussion that the converter
image of dissipation curve such that becomes more efficient at higher input
initially converter operates at lesser voltages as it does not require more power
efficiency say 84%. Later as the input to maintain in steady state condition.
The plot of flux density (B) in tesla versus the step (8) of design procedure that the
input voltage shown in figure (13) reveals selection of core is made to maintain the
that, once the field is established by field constant and more susceptible. Thus
minimum input supply voltage will the field is constant for change in input
remain undisturbed throughout the twice that of the specified input.
operating conditions .It is evident from
The plot of frequency versus input voltage evident from step (5) in the design
shown in figure (14) leads to the procedure that ferrite core meant for high
following citation. The switching frequency applications exhibit the
frequency remain constant even the input property of greater tolerance in core
voltage varies between Vccmin and Vccmax saturation which is most suitable for
set in the design consideration. It is SMPS .
To emphasize the role of duty cycle for worst case and proportionately decreases
wide variation in input voltage from 18 for greater input voltages to set the output
volts to 36 volts, the simulation has been completely regulated .Step no (4) in
performed and the plot is shown vide design procedure support the above
figure (15).The proposed converter illustration.
requires duty cycle around 70% under
Simulated harmonic
Fig. 16: (b).Input Harmonic Vrms=18 (V), Ii-rms=4.56 (A),I-peak=4.56(A), Crest Factor=1,
I-fund=0.013(A), VA=82.08 (W), Input Power=82.08 (W) Power Factor=1 & THD=0(%)
Vo1 for Analysis Transient Simple Forward DC-DC Ta=25 Deg.Vo1=15 V; Vo2=5.097 V;
Vo3=27.2 V; Vin=18 VIo1=3 A; Io2=2 A; Io3=1 A; Period=0.001s Step
loadingt0=116.8usI0=3 At1=233.6usI1=0.3 At2=584.1usI2=0.3 At3=595.8usI3=3
At4=788.6usI4=3 At5=876.2usI5=3 At6=963.8usIFig4.15. Loading wave form
Fig. 18: Transient O/P Waveform Ch1 - Output Loading Current 1 A/DivCh2 - Output ac
Transient Voltage - 100 V/Div, Time Base - 400 us/Div.