High efficiency multi power source control constant current/constant voltage charger lithium-ion battery based on the buck converter

International Journal of Electrical and Computer Engineering (IJECE)
Vol. 13, No. 1, February 2023, pp. 207~217
ISSN: 2088-8708, DOI: 10.11591/ijece.v13i1.pp207-217  207
Journal homepage: http://ijece.iaescore.com
High efficiency multi power source control constant
current/constant voltage charger lithium-ion battery based on
the buck converter
Ismail Boumedra1
, Abdelamin Diani1
, Karim El Khadiri2
, Ahmed Tahiri2
,
Mohammed Ouazzani Jamil3
, Hassan Qjidaa1
1
Department of Physics FSDM, Sidi Mohamed Ben Abdellah University Fez, Fez, Morocco
2
Laboratory of Computer Science and Interdisciplinary Physics, ENS, Sidi Mohamed Ben Abdellah University Fez, Fez, Morocco
3
Faculty of Engineering Sciences,Private University of Fez, Fez, Morocco
Article Info ABSTRACT
Article history:
Received Oct 29, 2021
Revised Aug 10, 2022
Accepted Aug 22, 2022
This paper proposes the design and simulation of a constant current/constant
voltage (CC/CV) multi-power source lithium-ion (Li-ion) battery charging
system based on the Buck typology. The aim of this new design that uses the
Buck converter with multiple numbers of sources, is to provide sufficient
energy for battery charging, with an analog switch to select the active source
that has priority to guarantee the continuity of the charging without
interruption. As well as the transition between the charging modes is smooth
that is provided by a multiplexed switcher. At the same time is increases the
efficiency of the system by using fewer power dissipation components and
low output ripple. The obtained results show that the Li-ion battery can be
successfully charged without reducing its life cycle. In the global, those
technics allow reducing financial costs. This allows such a solution to be
well-positioned in the industrial market (electric vehicles (EV) and medical).
Keywords:
Battery lithium-ion charging
Buck converter
Constant current
Constant voltage
Multi power source control
This is an open access article under the CC BY-SA license.
Corresponding Author:
Ismail Boumedra
Department of physics FSDM, Sidi Mohamed Ben Abdellah University Fez
Fez, Morocco
Email: ismail.boumedra@usmba.ac.ma
1. INTRODUCTION
The so-called “lithium-ion” batteries have become ubiquitous in our daily lives. They can be small
in a mobile phone or assembled by the dozens in an electric car or medical equipment. They are the subject
of intense research in the industrial sphere, given the challenge that represents electricity storage. The
proposed solution will cover the problem of the switching between the sources and its transition flexibility to
avoid any undesired interruption during charging or equipment operation which will also increase the
efficiency and overall performance of the system and use fewer components to achieve those functionalities.
Therefore, the design of a multi-power source is recommended to guarantee and offer the continuity of the
operation of the equipment.
The challenge of our design lies in switching between sources of different types with priority
conditions according to active or the available source, and at the same time keeping the efficiency of
charging without creating noisy response at the transition between the constant current/constant voltage
(CC/CV) charging method, Figure 1 showing the voltage and current of charging for a lithium-ion (Li-ion)
battery by using this method [1], [2]. it will charge a battery with a constant current firstly until the battery
voltage increases to the constant voltage limit. After the CC charging regime, the charging process goes into
the CV regime to prevent the overcharging [3]–[5].

 ISSN: 2088-8708
Int J Elec & Comp Eng, Vol. 13, No. 1, February 2023: 207-217
208
Our method builds on: i) checking the existence sources by using Hysteresis comparators which
compare the input voltage with a reference voltage Vref, ii) ensuring the switch between sources using a
logical circuit that drives the source to the power stage by priority and iii) modified direct current (DC-DC)
Buck converter allows ensuring the CC/CV charging modes with a proposed mode selector system, while
always avoiding voltage drops due to switching between sources and ensuring high efficiency [6], [7]. This
paper is organized: the second part will cover the descriptions and simulations of the proposed battery
charger that includes the switching solution, so it will present in detail the architecture and functionality of
each block composing the proposed Buck-type converter to charge the Li-ion battery. The results of the
simulations of the circuit will be illustrated in the 4th section and a conclusion will be presented afterwards.
Figure 1. CC/CV modes charging
2. THE PROPOSED BATTERY CHARGER
The industrial market always tends to look for solutions for continuous power supply during
operation of Li-ion batteries used in electric vehicles and medical equipment. Our solution comes to answer
these needs with a circuit comprising a combination of two architectures, each with its own functionalities
aimed at providing uninterrupted power supply even when changing power sources based on renewable
energies. Adding the challenge of keeping the battery charging efficiency.
2.1. Multi power source control
Our proposed multi-source solution offers an uninterrupted power supply to the battery by switching
between three sources by priority according to the availability, while avoiding voltage drops and keeping a
high efficiency and less losses of the system by reducing the number of metal-oxide-semiconductor
field-effect transistors (MOSFETs) transistors. Figure 2 illustrates the blocks that build our method used:
a) Sources: We have three sources classified according to priority. For instance, in electric vehicles (EV)
application we could have these following sources: source 1: sector, source 2: photovoltaic (PV) solar
panel on top side, source 3: wireless charger in bottom side.
b) Comparators: They are Schmitt trigger type that makes the comparison between the input voltage and a
reference voltage Vref in order to verify the existence of the input source. at the output of each
comparator, we have logical signals that specify the active sources (c1, c2, c3) [8].
c) Source selector logical circuit: responsible for meeting the priority conditions of the sources using
AND/NOT logic gates that check those following equations:
En1 = C1 (1)
En2 = C2 × En1 (2)

Int J Elec & Comp Eng ISSN: 2088-8708 
High efficiency multi power source control constant current/constant voltage … (Ismail Boumedra)
209
𝐸𝑛3 = 𝐶3 × 𝐸𝑛2 × 𝐸𝑛1 (3)
When the source 1 is present (C1=High), En1 will be active so the load will be powered by the voltage
Vsource1. For the load to be taken by second source Vsource2, it is necessary the non-existence of the 1st
source (𝐸𝑛1) and the presence of the second source (C2=High). In order the system to be powered by the
third source, of course it is necessary the presence of source 3 (C3=High) and the non-existence of the
primary and second source (𝐸𝑛1, 𝐸𝑛2).
d) Gate driver: This block has as inputs the logical signals En which designate the active sources and a pulse
width modulation (PWM) input with the purpose of driving it to the gates of the P‐channel metal‐oxide‐
semiconductor (PMOS) that related with an active source.
e) Multiple HS half-bridge: The switching part of the power stage, consisting of two elements a three back-
to-back PMOS, each one of them related to a specific input voltage, represents a power source, and a low
side N-type metal-oxide-semiconductor (NMOS) for the synchronous type. The dual structure of the
PMOS protects the circuit against reverse currents and keeps a good efficiency using fewer number of
transistors [9]–[11].
Figure 2. Diagram of multi power source control
2.1.1. Schematic
The design of the proposed model predictive speed control (MPSC) solution is made using a
combination of digital and analog components well-chosen according to their performance. As already
mentioned, the operation of our MPSC is to check the existence of sources by comparison with reference
voltage and choose the right source by priority. The challenge is always to cancel the load current and
voltage errors when changing the voltage sources.
2.1.2. Enables signals vs output voltage waveform
In this simulation shown in Figure 3, we used three sources of the same type with an input voltage
Vin=12 V and a delay in time in order to observe the output voltage Vout being switched between the
sources. Taking for instance when t=2 ms, we notice the non-existence of Vin1, the deactivation of Vin2 and
the activation of Vin3, so Vout will switch between second and third source. This is illustrated in the
Figure 4, the system made a switch between the sources without undergoing any undershoot on Vout and
even disturbances. After visualizing the Vout signal by applying all the possible switching cases, we can
conclude that our system is well efficient and has met all the specification requirements. The following
equations describes the conditions of simulation show in (4), (5). Open loop control by pulse-width
modulation (PWM) signal which has the following specification (Fsw=200 KHz, D=50%).
𝐷 =
𝑡𝑜𝑛
𝑡𝑜𝑛+𝑡𝑜𝑓𝑓
=
𝑡𝑜𝑛
𝑇
= 1/2 (4)
𝑉𝑜𝑢𝑡
𝑉𝑖𝑛
= 𝐷(𝑑𝑢𝑡𝑦 𝑐𝑦𝑐𝑙𝑒) ⬄ 𝑉𝑜𝑢𝑡 =
𝑉𝑖𝑛
2
=
12
2
= 6𝑉 (5)

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210
Figure 3. Simulation
Figure 4. Block diagram of the proposed MPSC Li-ion battery
2.2. Proposed CC/CV Buck converter typology battery charging with modes
The technique of using the pulse source and no dissipative output filter allows the transfer of energy
with high efficiency. That is, less power is lost in the converter itself. In order to regulate the output voltage,
a voltage reference and an error amplifier are added to the circuit. The four basic blocks (the pulse generator,
the modulator, the output filter, and the compensator) are combined to form a complete feedback control
DC/DC converter as shown in Figure 5. The design of the circuit begins by selecting various operating
Logic
Level
(V)
Output
Voltage
(V)
Time (s)

211
parameters and component values, largely determined by the basic operating requirements, namely: input
voltage range, output voltage, output current range, operating frequency [12]–[14]. The proposed charging
CC/CV modes using buck converter with blocks: power stage, compensator, PWM comparator, CC/CV
mode switcher and finally voltage and current Schmitt trigger comparator is represented in Figure 6. The
system was designed block by block to ensure that each one worked properly, and then the system blocks
were assembled so that the impedance between the output and the input was matched.
Figure 5. Buck converter typology
2.2.1. Schematic
The design of this circuit was made according to the desired load specifications aiming at a load in
CC/CV mode with a high efficiency by using components known in the market. The difficult constraints that
make this circuit complex with its parameters is the grouping of output and input impedances between two
linked blocks. Figure 6 illustrates the composition of the proposed Li-ion battery CC/CV charging with a
Buck converter by block each with its functionality:
Figure 6. Block diagram of the proposed CC/CV charger for Li-ion battery

 ISSN: 2088-8708
212
a. Power stage
Consisting of a low-pass LC filter that converts the square signal (situated at the common point of
switching) to a continuous signal, the values of the inductor L and its resistance series DC resistance (DCR),
are well chosen so that the response of the loop is fast and, in a way, to allow the use of fewer capacities on
the account of the less of the root mean square (RMS) current. Also, they are chosen to allow fewer energy
losses in the core. The following (6) represents the transfer function of the lossy LC filter with an output
capacitor, and the bode diagram is shown in Figure 7 [15], [16].
𝐻𝐹𝑖𝑙𝑡𝑒𝑟(𝑠) =
(1+𝐶𝑅𝑠)𝑠
1+
𝑅𝐿
𝑅
+(
𝐿
𝑅
+𝑅𝑐𝐶+𝑅𝐿𝐶+
𝑅𝐿𝑅𝑐𝐶
𝑅
)𝑠+(
𝑅+𝑅𝑐
𝑅
)𝐿𝐶𝑠2
(6)
Figure 7. Voltage control open loop frequency response
b. Compensator (voltage and current)
We used a Type III compensator can have a phase plot going above zero degree at some
frequencies, and therefore it can provide the required phase boost to maintain a reasonable phase margin. The
Type III compensator has three poles (one at the origin) and two zeros. which arranged to have two zeros and
two poles, and the loop crossover frequency is placed somewhere between the zeros and poles. For this kind
of design, the transfer function can be rewritten as [17]–[19]:
𝐶(𝑠) =
𝑉𝑜
𝑉𝑖
= −
(𝑠𝐶2𝑅2+1)[𝑠𝐶3(𝑅1+𝑅3)+1]
𝑅1(𝐶1+𝐶2)𝑠(𝑠𝐶12𝑅2+1)(𝑠𝐶3𝑅3+1)
(7)
Using the frequency analysis by matrix laboratory (MATLAB) software, we find the values of the
capacitive and resistive components included in the compensator by the choice of a crossover frequency fxover
based on the switching frequency and with placing the poles and zeros in the reason to boost the phase
margin up to 180° and have a critically damped transient response. The founded values are: For the voltage
compensator components:
C1=8.548 pF, C2=2.3411 nF, C3=1.1307 nF
R1=31.59 KΩ, R2=15.26 KΩ, R3=1.15 KΩ
For the voltage divider: Rdiv=5.11 KΩ
And for the current compensator: C1=11.57 pF, C2=1.75 nF, C3=4.81 nF
R1=5 KΩ, R2=13.75 KΩ, R3=330.3 Ω
The results obtained are the following: The estimated phase margin is 102.2° at the frequency of 86.5 Khz for
the voltage control, which is sufficiently high compared to the rule of thumb value 45°, and for the current
control loop which has an additional block upstream of the filter stage block, such as a feedback control
current measurement gain, the obtained value is 78.62° at 56.48 Khz which is also a satisfactory value.

213
c. PWM comparator
It makes the comparison between the output of the compensator (CC_error/CV_error) and a
sawtooth signal to generate the signal (CC_PWM/CV_PWM) of control. The latter is responsible for having
the desired current or voltage according to the active mode of charge CC/CV using a fast comparator (high
bandwidth) capable of catching up the switching frequency [20]. In our circuit, we have chosen LTC6752
which belongs to the family of high-speed comparators.
d. CC/CV mode switcher
It is represented by a multiplexer (MUX) with inputs CC_PWM and CV_PWM operating under the
conditions seen in Table 1. The operation of this MUX is controlled by the selector described in (8) which
ensures the change of mode between CC and CV. From the Table 1, we can see that the load voltage and
current are the main conditioning elements for the mode change.
Selector:
S = Vcomp ∗ Icomp (8)
Table1. Modes of operation in accordance with the combinations of the comparators
Output Conditions Output Comparator Mode
Voltage Current Vcomp Icomp Out (MUX)
Vout>Vcharge Iout>Icharge ‘0’ ‘1’ CV
Vout>Vcharge Iout<Icharge ‘0’ ‘0’ CV
Vout<Vcharge Iout>Icharge ‘1’ ‘1’ CC
Vout<Vcharge Iout<Icharge ‘1’ ‘0’ CV
e. V/C hysteresis comparator and lowpass ﬁlters (LPFs)
In noisy environments specifically with switching power supplies that generate electromagnetic
interferences disturbing the acquisition and the measures taken by the circuit. We manage to use low-pass
filters and hysteresis type comparators to eliminate the noise. In our circuit and optimization purposes, we
used this technique of voltage comparison and filtering shown in Figure 8 to avoid disturbances due to
changes in CC/CV charging modes and allowing to have a good functionality during the charging of the
Li-Ion battery [21], [22].
Figure 8. Hysteresis comparator
3. RESULTS OF COMBINATION OF THE TWO SOLUTIONS
The block diagram of the proposed Li-ion battery CC/CV charging with the proposed multi power
source control is shows in Figure 9. The combination of the two solutions was a bit complex to keep the high
charging efficiency in CC/CV modes and to avoid errors when switching between the voltage sources. The
simulation of the circuit illustrated below clearly shows the stability and efficiency of our design and the
good choice of the components used.

 ISSN: 2088-8708
214
Figure 9. Circuit diagram of the proposed charger with MPSC
The simulation of the proposed charger is shows in Figure 10. The brown curve: charging voltage of
the battery; The green curve: charging current of the battery; The blue curve: voltage signal of the mode of
charging selector, 5 V represents the CC and 0 V represents the CV mode. By noticing Figure 10, we can see
that there are CC/CV charging modes controlled by the selection voltage. The latter allows to change the
charging mode from constant current to constant voltage by performing a state change from ‘1’ to ‘0’ with a
creation of a little spike in current and voltage due to the compensation delay.
The power conversion efficiency of the proposed battery charger is presented in Figure 11. The
maximum efficiency of our charger is higher than the stated architectures that can reach its maximum 97%
between 3 A to 7 A [23]–[26]. As expected, the obtained results are much better compared to other work.
Table 2 summarizes the performance characteristics of the proposed Li-ion battery CC/CV charging with the
proposed multi power source control.

215
Figure 10. Charging battery
Figure 11. Power efficiency of the proposed Li-ion battery charger
Table 2. Performance summary and comparison
[23] 2015 [24] 2017 [25] 2019 [26] 2021 This work
Method LDO-
Based
Current-Mode
Smooth Transition
Dual Switching Control
(buck-booster converter)
charge mode selection
based 0.18 um CMOS
Multi source control
(Buck converter)
Supply Voltage (V) 4.8-5 4.5-5.5 13.5 2.7-4.5 12
Output voltage (V) 2.5-4.2 4.194 4.5 4.2 4.4
Current charge(A) 448 m 600 m 4 1 4
Efficiency (%) 87 92.49 - 90.9 95
4. CONCLUSION
To conclude, the proposed architecture presents a good choice for Li-ion batteries in different
domains as efficient charger for limited energy sources like renewable energies. Therefore, this solution will
minimize the power dissipation during charging to maximize the charged capacity of the battery in different
Output Voltage
CC/CV selector
Output Current

 ISSN: 2088-8708
216
conditions. Using CC and CV modes can also increase the state of healthy for its sustainability’s. The result
of the simulation presents a power efficiency up to 95% and better performance in terms of current charge
than can reach 4,000 mA in short time and low output ripples. Based on this performance, we see that our
solution can be well imposed on medical applications or electrical vehicles.
ACKNOWLEDGEMENTS
This work was supported by the National Center for Scientific and Technical Research (CNRST
Morocco) under the APR&D 2020 program.
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BIOGRAPHIES OF AUTHORS
Ismail Boumedra received his Master degree since 2019 in Micro-Electronics in
FSDM, USMBA, Fez, Morocco. He is now a Ph.D. student in LISAC, Department of Physics,
FSDM, USMBA, Fez, Morocco. His research interests include Li-Ion battery charger interface
(BCI) and BMS for Electric Vehicles, power converters, CMOS mixed mode integrated circuit
design and renewable energy. He can be contacted at email: Ismail.boumedra@usmba.ac.ma.
Abdelamin Diani received his Master degree in Micro-Electronics from Sidi
Mohammed Ben Abdellah University, Fez, Morocco. He is currently pursuing his Ph.D. in
Electrical Engineering and working in LEAR Corporation as Hardware Design Engineer, his
research interests include Multi Power Source Level II/II Charger Station for Electric Vehicles,
Renewable energy transfer. He can be contacted at email: Abdelamin.diani@usmba.ac.ma.
Karim El Khadiri is now a Professor in Superior Normal School, ENS-FEZ,
Morocco. He received his Master degree since 2011 in Micro-Electronics and Ph.D. degrees
since 2017 in FSDM, USMBA, Fez, Morocco. His research interests include Li-Ion battery
charger interface (BCI) and BMS, RFID passive and active tags, CMOS mixed mode
integrated circuit design, Integrated Class-D power output stage and renewable energy. He can
be contacted at email: Karim.elkhadiri@usmba.ac.ma.
Ahmed Tahiri is now a Professor in Superior Normal School, ENS-FEZ,
Morocco. He received his graduate degree DES and Ph.D. degree in Department of Physics,
FSDM, USMBA, Fez, Morocco. And He has a doctoral in Didactics of Science in the
University of Sherbrooke in Canada in 2010. His research interests include didactics of
scientific disciplines, computer science and image processing. He can be contacted at email:
Ahmed.tahiri@usmba.ac.ma.
Mohammed Ouazzani Jamil is currently a Professor in Private university of Fez
(UPF). He does research in Condensed Matter Physics, Hamiltonian system, chaos, renewable
energy and artificial intelligence. Their current project is dynamic systems. He can be
contacted at email: Ouazzani@upf.ac.ma.
Hassan Qjidaa is now a Professor in Department of Physics, FSDM, USMBA,
Fez, Morocco. He received his Master degree since 1984 and Ph.D. degrees since 1987 in
Electrical Engineering from Nuclear Physics Institute of Lyon, France. His research interests
include Li-Ion battery charger interface (BCI) and BMS, RFID passive and active tags, CMOS
mixed mode integrated circuit design, Integrated Class-D power output stage, renewable
energy and image processing. He can be contacted at email: qjidah@yahoo.fr.

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