Lion Swarm Optimization For Grid Connected PV System With Improved SEPIC
Lion Swarm Optimization For Grid Connected PV System With Improved SEPIC
Lion Swarm Optimization For Grid Connected PV System With Improved SEPIC
Corresponding Author:
P. Annapandi
Department of Electrical and Electronics Engineering, Francis Xavier Engineering College
Tirunelveli, Tamil Nadu, India
Email: annapandian2001@gmail.com
1. INTRODUCTION
In recent days, the energy crisis is considered as a rising problem due to its influence on economic
growth of all sectors [1]. Moreover, the fossil fuel burning results in greenhouse gas emission and global
warming leading to environmental pollution. All these factors paved for the need of renewable energy
resources (RESs) [2]. The photovoltaic (PV) systems are regarded as significant clean and popular renewable
energy resource and is applied for both grid integration and power generation. The factors related to PV
system including grid integration, efficiency, grid stability, and quality of uninterrupted power are a serious
concern. Hence, the improvement of PV system efficiency and reduction of installation costs are focused by
Rodriguez et al. [3].
Generally, dozens of PV panels are used for improving the voltage at the terminals [4]. The number
of PV panels adopted for a particular application is reduced with the use of converter [5]. It is an important
component used for a removal of the power from the photovoltaic array and it maintains low current
ripples [6], [7]. Added to improved efficiency and reduced cost, the DC-DC converters provide fast current
and voltage control along with wide range of input/output voltage change ratios [8]. The conventional
converters are boost and buck-boost converters that perform enlarging of input voltage range obtained from
the PV array [9]. However, achieving conversion gain beyond six practically is not feasible in these
converters. The increased duty cycle operation compromises an efficiency of boost converter but generate
current ripples and electromagnetic interference [10]. Conventional Cuk converters have reduced switching
losses, better efficiency, and superior voltage moderation, yet they showed restrictions in delivering sharp
speed up/down voltage [11]. The single ended primary inductor converter (SEPIC) is used in various
applications related to power electronics due to its unique properties and many works concentrate on
improving its step-up voltage gain. The possibility of soft-switching performance without the addition of
auxiliary elements is a unique feature of SEPIC [12]–[14]. Generally, an increased voltage gain is attained in
SEPIC by coupled inductor as well as isolated transformer approaches. These approaches in turn exhibit the
drawbacks of isolated and coupled inductors whereas converters with non-coupled inductor have reduced
voltage gain [15]. Considering the aforementioned shortcomings, the SEPIC requires further improvement to
enhance its performance and generate improved voltage gain ratio.
In order to sustain a constant DC link voltage, a closed loop control is preferred which employs
proportional-integral (PI) controller. It is the most feasible and simplest controller used for wide operating
conditions [16]. The settling time requirement is satisfied by the proportional gain and steady state error is
decreased by an integral gain. The PI controllers track the reference values and hence a satisfactory steady
and dynamic response is determined by the fine-tuning of PI controller [17]. Considering uncertain, non-
linear and complex systems, tuning of PI controller parameters is challenging with the adopting of traditional
approaches like linear programming [18]. Initially, trial and error, conventional Ziegler-Nichols approaches
are utilized for the tuning of polarization index controller parameters but they are not appropriate for random
load variations [19]. The optimization approaches are alternate methods for tuning PI controllers in which the
PI gains are estimated by these approaches [20]. The selection of the PI controller parameters is crucial and
recently, several nature inspired algorithms are employed for the optimization process [21], [22]. The power
obtained from DC link is distributed to the grid by means of a voltage source inverter which injects an AC
output to grid with reduced total harmonic distortion (THD) [23]. Due to grid disturbances and voltage
distortion at point of common coupling (PCC) by nonlinear loads, grid synchronization is considered as a
challenging task [24]. The significant focus of grid synchronization is to enhance the control performance
thereby injecting a high-quality power in the grid [25].
Therefore, the contributions of this research are concluded as below: An efficient grid-connected PV
system is designed with improved SEPIC for boosting the input power from PV array. A novel lion swarm
optimization is proposed for the tuning of PI controller parameters which in turn effectively controls the
converter operation for maintaining a constant DC link voltage. The obtained power with reduced harmonics
is fed to a grid through a 1𝜙 VSI for providing effective grid synchronization by delivering appropriate
reactive power.
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The obtained solar power from photovoltaic system relies on the intensity and illumination of the
light which necessitates the usage of a converter. Hence, improved SEPIC is employed to improve the lower
photovoltaic output voltage and also buck the output voltage at times of huge intensity. A constant output is
maintained at the DC link by a PI controller which adopts lion swarm optimization for tuning its gain
parameters. The algorithm provides superior results with improved convergence speed and robustness
thereby generating enhanced proportional and integral gains. The DC voltage is further supplied to grid
through a 1𝜙 VSI with LC filter which in turn provides effective synchronization and reduced THD with the
help of conventional polarization index controller. A whole setup provides a stable power supply to the grid
in an effective manner.
2.1. PV system
In case of a PV connected to grid, the generated power is uploaded to grid for the process of direct
transmission, distribution and consumption. Generally, operating temperature and irradiance of the PV cell
influence an output characteristic of a photovoltaic. Figure 2 depicts the PV system's equivalent circuit.
The equations for current and voltage are given by (1) and (2).
𝑉𝐷
𝐼𝑝ℎ = 𝐼𝐷 + 𝐼 + ( ) (1)
𝑅𝑠ℎ
𝑉 = 𝑉𝐷 − (𝐼 ∗ 𝑅𝑠 ) (2)
𝐼𝐷 = 𝐼 + (𝑒 (𝑉𝐷/𝑉𝑇 ) − 1) (3)
The characteristics of voltage and current which aids in the analysis of irradiance variation and temperature
effect is predict in (1) and (2). When the irradiance shows variations, the fluctuations of open circuit voltage
is small whereas short circuit current exhibits sharp fluctuations. These factors affect the output voltage of
photovoltaic system and this demands the adopting of an efficient DC-DC converter for enhancing the
photovoltaic output.
2.2.1. Mode 1
The mode 1 operation of improved SEPIC in which switch 𝑆 is turned off at time 𝑡0 as represent in
Figure 4. An input inductor 𝐿1 transfers stored energy to the output side through diode 𝐷0 and capacitor 𝐶𝑠 .
Moreover, the stored energy of 𝐿1 is moved to a capacitor 𝐶1 through the diode 𝐷1 . Similarly, the inductor 𝐿2
transfers the stored energy to the output through a diode 𝐷0 .
2.2.2. Mode 2
In Figure 5 the equivalent circuit of mode 2 operation in which switch 𝑆 is turned on at time 𝑡1 is
represented. The diodes 𝐷0 and 𝐷1 are blocked in this mode and the inductors 𝐿1 , 𝐿2 continues to store
energy. The inductor 𝐿1 gets supplied with the input voltage and the inductor 𝐿2 gets supplied with 𝑉𝐶𝑠 and
𝑉𝐶1 in which 𝑉𝐶1 is greater than 𝑉𝐶𝑠 . A voltage across 𝐶1 is similar to the maximum voltage across all diodes
Lion swarm optimization for grid connected PV system with improved SEPIC (P. Annapandi)
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and the switch. The total voltage across the capacitors 𝐶1 and 𝐶𝑠 indicate the output of a converter. The
average current of an inductor 𝐿1 and average current of an inductor 𝐿2 are equivalent to the input current
and output current respectively. During steady state condition, an average voltage over inductor is zero.
𝑇𝑜𝑛 (𝑉𝑐1 −𝑉𝐼 )
= (4)
𝑇𝑜𝑓𝑓 𝑉𝐼
Consider,
𝑇𝑜𝑛
𝛼= (5)
𝑇𝑜𝑓𝑓
where, 𝛼 indicates the duty cycle, 𝑇𝑜𝑛 represents the on time, 𝑇𝑜𝑓𝑓 represents the off time. The relation
between voltage across the capacitor 𝑉𝑐𝑠 and input voltage 𝑉𝐼 is given by (6).
𝑉𝑐1 1
= (1−𝛼) (6)
𝑉𝐼
At turned-off condition of the switch 𝑆, the diodes 𝐷0 and 𝐷1 are in on state, the output voltage 𝑉0 is
mentioned as (7).
The gain of the improved SEPIC which clearly indicates that the output gain highly relies on duty
cycle value is represents in (9). The obtained output DC voltage from converter is further fed to DC link at
which a constant voltage has to be maintained. In order to accomplish this, a closed loop control based on PI
controller is needed, as explained below.
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associated to the lion cubs and are protected by the lion king. Lion cubs are taught about hunting by the lioness
and they seek lion king for food at times of hunger. Considering the swarm, the lions coordinate among
themselves as a team for searching food. The optimization algorithm shown in Figure 6 relies on the hunting
behavior of the swarm and the lion king is the one with best fitness value. On identifying a prey, the lion king
moves towards the prey's position whereas the lion cubs follow the lioness for learning the hunting process.
The adult lion’s proportional factor is given by 𝛽 which is a random positive number within [0,1]
range and in this work 𝛽 is set as 0.5. The term 𝛼𝑓 is used to represent the disturbance factor in moving range
of the lioness, which enhances the convergence speed by balancing the global exploration as well as local
exploitation. It is given by (10).
𝑡 10
𝛼𝑓 = 𝑠𝑡𝑒𝑝1 . 𝑒𝑥𝑝 [−30. ] (10)
𝑇
Here, 𝑇- maximum iteration, 𝑡 - current iteration, value of step within lionesses’ range of activity 𝑠𝑡𝑒𝑝1 is
provided as (11).
Here, for every dimension, the maximal and minimal mean value is represented by 𝑥̅𝑚𝑎𝑥 and 𝑥̅𝑚𝑖𝑛
respectively, 𝛼1 denotes the control factor. The lion cubs' moving range disturbance factor is denoted by the
symbol 𝛼𝑐 and is determined by (12).
𝑇−𝑡
𝛼𝑐 = 𝑠𝑡𝑒𝑝2 . (12)
𝑇
Where,
Here, 𝛼2 denotes the control factor and is any number within the scale [0,1]. The position of all lions is
denoted by (14).
x1,1 x1,2 ⋯ x1,D
𝑥=[ ⋮ ⋮ ⋮ ] (14)
xn,1 xn,2 ⋯ xn,D
Here 𝑥𝑖,𝑗 denotes 𝑗𝑡ℎ dimension related to 𝑖 𝑡ℎ lion, each 𝐷 dimensional vector 𝑥𝑖 = (𝑥𝑖,1 , 𝑥𝑖,2 , … . . 𝑥𝑖,𝐷 )
denote the state of 𝑖 𝑡ℎ lion and is provided by (15).
Here, 𝑖 = 1,2, … 𝑛 and 𝑗 = 1,2, … 𝐷, 𝑟𝑎𝑛𝑑 (0,1) specifies a random number which is uniformly distributed
in range [0,1], 𝑥𝑚𝑎𝑥,𝑗 denotes upper bound and 𝑥𝑚𝑖𝑛,𝑗 denotes lower bound of 𝑗𝑡ℎ dimension. The number of
the adult lions is given as below.
And the number of lion cubs is given by 𝑛 − 𝑛𝐿𝑒𝑎𝑑𝑒𝑟 the appropriate fitness values are below.
Quality of prey sought by each lion is represented by the fitness value of its position. As a result,
their chances of survival are likewise increased. Each lion’s place in lion swarm optimization (LSO) is
modified based on its own experience as well as that of its neighbors. As previously stated, the hunting
mechanisms of each lion is different during the hunting phase. Around the prey, a circle shaped
neighborhood is created in order to support lions coming from various directions, thus the problem of
trapping in local optima is successfully avoided. The increase in population diversity is also possible using
this scheme.
Lion swarm optimization for grid connected PV system with improved SEPIC (P. Annapandi)
608 ISSN: 2252-8792
The position with the least fitness value is the destination of the lion king, to increase that he has
priority for catch over the other lions. New status of lion king, as in (18).
Where, 𝑡 =present iteration value, 𝑔𝑏𝑒𝑠𝑡(𝑡)= at 𝑡, the globally best position of catch, γ = random number lies
between [0, 1] 𝑝𝑏𝑒𝑠𝑡𝑖 (𝑡)=at 𝑡, best position of 𝑖 𝑡ℎ lion.
Lionesses often hunt by recognizing their prey's position, encircling them, and then attacking them.
When a lioness engages in hunting behavior, she usually does so with the help of another lioness. The
collaboration lioness is the lioness who was chosen from the lioness group by someone other than herself.
How the new lioness position might be obtained in this case is shown in (19).
Where, ∝𝑓 -, moving range disturbance factor of lioness. 𝑝𝑏𝑒𝑠𝑡𝑐 (𝑡)-, at t, cooperation lioness best position.
The new position of lion cub is given by (20).
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𝑔𝑏𝑒𝑠𝑡(𝑡)+𝑝𝑏𝑒𝑠𝑡𝑖 (𝑡) 1
. (1 + 𝛼𝑐 . 𝛾), 𝑞 ≤
2 3
𝑝𝑏𝑒𝑠𝑡𝑚 (𝑡)+𝑝𝑏𝑒𝑠𝑡𝑖 (𝑡) 1 2
𝑥𝑖 (𝑡 + 1) = . (1 +∝𝑐 . 𝛾), < 𝑞 < (20)
2 3 3
̅̅̅̅̅̅̅̅ (𝑡)+𝑝𝑏𝑒𝑠𝑡𝑖 (𝑡)
𝑔𝑏𝑒𝑠𝑡 2
{ . (1 +∝𝑐 . 𝛾), ≤ 𝑞 ≤ 1
2 3
̅̅̅̅̅̅̅̅
𝑔𝑏𝑒𝑠𝑡 (𝑡) - Position of 𝑖 𝑡ℎ lion cub
̅̅̅̅̅̅̅̅
𝑔𝑏𝑒𝑠𝑡 (𝑡) = ̅̅̅̅̅̅
𝑥𝑚𝑎𝑥 + ̅̅̅̅̅̅
𝑥𝑚𝑖𝑛 − 𝑔𝑏𝑒𝑠𝑡(𝑡) (21)
∝𝑐 – moving range disturbance factor, 𝑞-random number range [0, 1]. Based on the values of 𝑔𝑏𝑒𝑠𝑡
and 𝑝𝑏𝑒𝑠𝑡, optimal outputs are obtained which are used for the efficient tuning of the 𝐾𝑝 and 𝐾𝑖 parameters.
The obtained values of PI controller parameters outperform the existing methods which in turn efficiently
controls the operation of improved SEPIC for maintaining a constant DC link voltage.
Initially, the input solar irradiance is maintained at 980 W/m 2 for 0.1s and then it is increased to
1000 W/m2 as indicated in Figure 8(a). The solar irradiance is varied to evaluate the dynamic nature of the
Lion swarm optimization for grid connected PV system with improved SEPIC (P. Annapandi)
610 ISSN: 2252-8792
suggested control technique in non-linear operating conditions. In accordance to the increase in irradiance,
the PV voltage also increases from 79 V to 80 V at 0.1 sec as depicted in Figure 8(b).
Figures 9(a) and 9(b) specifies an input current and output power waveform of a PV panel. As
demonstrated by Figure 9(a), the photo generated current from the PV is 17.2 A till 0.1s and it increases to
18.8 A corresponding to the change in irradiance. Similar to this, Figure 9(b) shows that the PV power which
is initially 1360 W, becomes 1500 W at 0.1s in response to the increase in irradiance.
(a) (b)
(a) (b)
Figure 9. Waveforms of PV: (a) input current and (b) output power
The output of the improved SEPIC for different control techniques is illustrated in Figure 10. The
converter output with the employment of PI controller seen in Figure 10(a) is affected by peak overshoot
condition at first and then it delivers a voltage of 270 V from 0.12 s. However, the output that is obtained is
unstable and is affected by fluctuations. Figure 10(b) illustrates GWO based PI controller output, where
peak overshoot condition arises as like PI controller, but it is able to provide a stable voltage at a quicker time
of 0.1 s. Finally, the proposed lion swarm optimized PI is successful in providing an output without peak
overshoot condition in quickest settling time of 0.08s, which is evident from Figure 10(c). Moreover, the
change in operating conditions does not have an impact on the output of the lion swarm optimized PI based
improved SEPIC. A stable voltage and current of 230 V, 5 A is obtained from the single-phase grid as shown
in Figure 11. Additionally, as Figure 12 indicates, the suggested control approach is successful in minimizing
THD at 2.9%.
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(a) (b)
(c)
Figure 10. Output voltage of improved SEPIC: (a) with PI controller, (b) GWO-PI,
and (c) lion swarm-PI
Figure 11. Grid output voltage and current Figure 12. THD output
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The hardware validation of the proposed work generates the following outputs which indicates
the efficacy of the proposed system. The corresponding waveforms are presented below with a detailed
analysis. The input solar irradiance is presented in Figure 14, where a slight increase in value of solar
irradiance is seen at one point. This definitely influences the operation of PV panel which in turn generates
varying outputs.
Figure 15 demonstrates a photovoltaic panel current waveform and output voltage, which highly
relies on available temperature, solar irradiation and other environmental conditions. So, a variation in
voltage output with the change in solar irradiation is observed from the waveform, seen in Figure 15(a).
Similar to the PV voltage output, Figure 15(b) depicts the output current also increases in line with the rise in
solar irradiation. As seen in Figure 16, the improved SEPIC converter produces a stable, controlled output
with less amount of ripple contents. By boosting efficiency and decreasing input current ripples, the
improved SEPIC solves the shortcomings of regular SEPIC.
(a) (b)
Figure 15. Photovoltaic panel: (a) output voltage and (b) output current
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Figures 17(a) and 17(b) show a timeline of the voltage and current variations on the grid. These
graphs provide information about the dynamic voltage and current behaviour inside the grid system. This
indicates an enhanced grid synchronization by the proposed topology.
The THD value is to be kept as low as possible for the system's stability and improved power
quality. The implementation of the proposed approach yields a lower THD value, and Figure 18 illustrates
the corresponding output. Figure 19(a) displays the efficacy comparison between improved SEPIC and
conventional converters such as buck-boost, Cuk, boost, and SEPIC. From figure it is observed that improved
SEPIC has a better efficiency of 96% respectively. The improved SEPIC converter's performance is then
displayed in Figure 19(b), where the voltage gain value is 1:10, which is relatively higher than state of art
converter topologies.
(a) (b)
(a) (b)
Figure 19. DC-DC converter: (a) efficiency comparison and (b) voltage gain comparison
The obtained THD values for current are compared with Cuk and SEPIC as shown in Figure 20(a).
The proposed converter generates an improved THD of 2.9% and 3.9% for simulation and hardware
implementation respectively. The settling time of lion swarm optimized PI controller is contrasted with
conventional PI controller and GWO based PI controller in Figure 20(b). From given comparison chart, it is
determined the proposed control technique offers the fastest settling time of 0.08s in case of simulation and
0.09s in case of hardware validation.
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(a) (b)
Figure 20. Performance measure of (a) current THD and (b) settling time of controllers
4. CONCLUSION
An optimum control strategy for grid connected photovoltaic systems is presented in this study,
since grid-connected PV systems account for the vast majority of installed capacity worldwide when
compared to battery-based standalone systems. The voltage derived from the photovoltaic panel is
transformed to the desired level using improved SEPIC of high voltage gain and an efficiency of 96%. The
improvement of dynamic performance indices of converter in terms of over shoot and settling time is
achieved using lion swarm optimized PI controller. Thus, from the obtained outcomes, it is noted that the
suggested control technique is successful in eliminating the overshoot problem in the converter and provides
a quick settling time of 0.08𝑠 for simulation and 0.09𝑠 for hardware validation.
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BIOGRAPHIES OF AUTHORS
Lion swarm optimization for grid connected PV system with improved SEPIC (P. Annapandi)