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32 International Journal for Modern Trends in Science and Technology
Volume: 2 | Issue: 09 | September 2016 | ISSN: 2455-3778IJMTST
Grid-Connected Photovoltaic System
without using Boost Converter
Swathi N. Wankhede1
| Girish K. Mahajan2
| Ajit P. Chaudhari3
1,2,3Department of Electrical Engineering, SSGBCOE, Bhusaval, Maharashtra, India.
This paper presents operation and control for improving the efficiency and size of a photovoltaic generation
system using a current-source inverter. This system is directly connected utility grid to a solar cell without
using a boosting converter. In proposed grid connected PV system the single phase CSI converter used with a
double tuned resonant filter circuit. The system uses transformer-less single-stage transformation for
tracking the most extreme power point and interfacing the photovoltaic array to the grid. The greatest power
point is kept up with a fuzzy logic controller. A proportional-resonant controller is used to control the current
injected into the grid. A modified carrier based modulation technique for the current source inverter is
proposed to magnetize the dc-link inductor by shorting one of the bridge converter legs after every active
switching cycle.
KEYWORDS: Doubled tuned resonant filter, Fuzzy Logic Controller, Current source inverter (CSI), grid, and
photovoltaic array
Copyright © 2016 International Journal for Modern Trends in Science and Technology
All rights reserved.
I. INTRODUCTION
Renewable energy resources are gaining more
importance these days owing to the increasing
energy demand, rising fuel cost, depletion of fossil
fuels, and global warming. Among all the
renewable energy resources, solar energy is very
popular because sunlight is available throughout
the year. Every day, the sun delivers light energy to
earth at free of cost. PV plant is used to convert the
sun light energy into electricity. PV modules or
panels are made of semiconductor material that
allows sunlight to be converted directly into
electricity and provides electrical power for long
time. PV systems are categorized into three types
such as standalone, hybrid systems, and
grid-connected systems. The type of system is
selected based on the needs, location, and budget.
The grid-connected system which generates the
power and it is directly connected to local grid, the
part of generated power is utilized through local
loads which are connected to grid and the
remaining excess power is fed to the grid and hence
batteries are not required. The grid connected solar
PV system requires the power converters. This
power converter is used to convert the direct
current from the PV plant to the desired values of
AC with the highest possible efficiency and provide
quality power to the utility grid.
Single-stage and two-stage grid-connected
systems are commonly used topologies in single-
and three-phase PV applications. In a single-stage
grid-connected system, the PV system utilizes a
single conversion unit (dc/ac power inverter) to
track the maximum power point (MPP) and
interface the PV system to the grid. In such a
topology, PV maximum power is delivered into the
grid with high efficiency, small size, and low cost.
However, to fulfill grid requirements, such a
topology requires either a step-up transformer,
which reduces the system efficiency and increases
cost, or a PV array with a high dc voltage.
High-voltage systems suffer from hotspots during
partial shadowing and increased leakage current
between the panel and the system ground though
parasitic capacitances. Moreover, inverter control
is complicated because the control objectives, such
as MPP tracking (MPPT), power factor correction,
and harmonic reduction, are simultaneously
considered.
On the other hand, a two-stage grid-connected
PV system utilizes two conversion stages: a dc/dc
ABSTRACT
33 International Journal for Modern Trends in Science and Technology
Grid-Connected Photovoltaic System without using Boost Converter
converter for boosting and conditioning the PV
output voltage and tracking the MPP, and a dc/ac
inverter for interfacing the PV system to the grid. In
such a topology, a high-voltage PV array is not
essential, because of the dc voltage boosting stage.
However, this two-stage technique suffers from
reduced efficiency, higher cost, and larger size.
From the aforementioned drawbacks of existing
grid connected PV systems, it is apparent that the
efficiency and footprint of the two-stage
grid-connected system are not attractive.
Therefore, single-stage inverters have gained
attention, especially in low voltage applications.
The conventional voltage source inverter (VSI) is
the most commonly used interface unit in
grid-connected PV system technology due to its
simplicity and availability. However, a bulky
transformer and an unreliable electrolytic
capacitor are still required.
The current-source inverter (CSI) has the
potential of becoming a preferred topology for
interfacing a PV system to the ac power grid for the
following reasons.
1) CSI provides a smooth dc-side current, which is
a desirable feature for PV modules.
2) The energy storage element of a CSI has a longer
lifetime than that of a VSI.
3) CSI has an inherent voltage boosting capability,
which allows integration of PV panels of lower
output voltages and reduces the requirements of
the step-up interface transformer.
4) With the evolution of reverse-blocking (RB) IGBT
switches, the series diodes will be eliminated,
resulting in a considerable reduction in the cost
and conduction losses.
Grid-connected PV systems using a CSI have been
proposed and successfully delivered PV power to
the grid, with a low total harmonic distortion
(THD). However, an ac current loop is essential in
the grid connected application in order to limit the
current and quickly recover the grid current
variation during varying weather conditions.
In this paper, a single-stage single-phase
grid-connected PV system-based on a CSI is
proposed. A doubled-tuned parallel resonant
circuit is proposed to eliminate the second- and
fourth order harmonics on the dc side. Moreover, a
modified carrier based modulation technique is
proposed to provide a continuous path for the
dc-side current after each active switching cycle.
The control structure consists of MPPT, an ac
current loop, and a voltage loop. To demonstrate
the effectiveness and robustness of the proposed
system, computer-aided simulation and practical
results are used to validate the system
Fig.1 Proposed System
II. SYSTEM DESCRIPTION
A grid-connected PV system using a single-phase
CSI is shown in Fig. 1. The inverter has four
insulated-gate bipolar transistors (IGBTs) (S1–S4)
and four diodes (D1–D4). Each diode is connected
in series with an IGBT switch for reverse blocking
capability. A doubled-tuned parallel resonant
circuit in series with dc-link inductor Ldc is
employed for smoothing the dc link current. To
eliminate the switching harmonics, a C–L filter is
connected into the inverter ac side
A. Circuit Parameters
Resonant filter inductor,(L1)=5mH
Resonant filter inductor(L2)=10mH
Resonant filter capacitor (C1)=125microfarad
Resonant filter capacitor (C2)=250microfarad
DC link inductor Ldc= 900mH
AC line inductor= 300mH
AC line capacitor= 20microfarad
Fig.2 Interfacing the Photovoltaic Array to the Grid
III. DOUBLE-TUNED RESONANT FILTER
In a single-phase CSI, the pulsating
instantaneous power of twice the system frequency
generates even harmonics in the dc-link current.
These harmonics reflect onto the ac side as low
order odd harmonics in the current and voltage.
Undesirably, these even harmonics affect MPPT in
PV system applications and reduce the PV lifetime.
In order to mitigate the impact of these dc-side
34 International Journal for Modern Trends in Science and Technology
Volume: 2 | Issue: 09 | September 2016 | ISSN: 2455-3778IJMTST
harmonics on the ac side and on the PV, the dclink
inductance must be large enough to suppress the
dc-link current ripple produced by these
harmonics. Practically, large dc-link inductance is
not acceptable, because of its cost, size, weight,
and the fact that it slows MPPT transient response.
To reduce the necessary dc-link inductance, a
parallel resonant circuit tuned to the second-order
harmonic is employed in series with the dc-link
inductor. The filter is capable of smoothing the
dc-link current by using relatively small
inductances. Even though the impact of the
second-order harmonic is significant in the dc-link
current, the fourth-order harmonic can also affect
the dc-link current, especially when the CSI
operates at high modulation indices. Therefore, in
an attempt to improve the parallel resonant circuit,
this paper proposes a double-tuned parallel
resonant circuit tuned at the second- and
fourth-order harmonics, as shown in Fig. 3
Fig. 3. Proposed double-tuned resonant filter
IV. PROPOSED SYSTEM CONTROL TECHNIQUE
To design a grid-connected PV system using a
CSI, the relationship between the PV output
voltage and the grid voltage is derived as follows
By neglecting inverter losses, the PV output
power is equal to the grid power
VPVIPV = 1/2Ig,peakVg,peak cos θ (3.1)
where θ is the phase angle, Vpv and Ipv are the
PV output voltage and current, respectively, while
Vg,peak and Ig,peak are the grid peak voltage and
current, respectively. The grid current is equal to
the PV output current multiplied by the inverter
modulation index M
Ig,peak = MIPV (3.2)
Substituting (3.2) into (3.1), assuming unity
power factor, the equation describing the
relationship between the PVoutput voltage and the
grid voltage is
VPV =1/2MVg,peak. (3.3)
Therefore, in order to interface the PV system to
the grid using a CSI, the PV voltage should not
exceed half the grid peak voltage. The CSI is
utilized to track the PV MPP and to interface the PV
system to the grid. In order to achieve these
requirements, three control loops are employed,
namely MPPT, an ac current loop, and a voltage
loop.
To operate the PV at the MPP, MPPT is used to
identify the optimum grid current peak value. Any
conventional MPPT technique can be used.
However, to prevent significant losses in power, the
tracking technique should be fast enough to
handle any variation in load or weather conditions.
Therefore, a fuzzy logic controller (FLC) is used to
quickly locate the MPP.
The inputs of the FLC are
ΔP = P(k) − P(k − 1) (3.4)
ΔIPV = IPV(k) − IPV(k − 1) (3.5)
and the output equation is
ΔIg,ref = Ig,ref (k) − Ig,ref (k − 1) (3.6)
whereΔP andΔIPV are the PV array output power
and current change, ΔIg,ref is the grid current
amplitude change reference, Ig,ref is the grid
current reference, and k is the sample instant. The
variable inputs and output are divided into four
fuzzy subsets: PB (Positive Big), PS (Positive Small),
NB (Negative Big), and NS (Negative Small).
Therefore, the fuzzy algorithm requires 16 fuzzy
control rules; these rules are based on the
regulation of the hill climbing algorithm, where the
fuzzy rules are shown in Table I.
Fig 4. FLC Membership Functions for ΔP, ΔI and ΔD.
TABLE I; - Fuzzification of modified hillclimbing rules
If ΔP>0
If ΔI>0
D(t)=D(t-1)+
ΔD
If ΔP is PB and ΔI is PB then ΔD is
PB
If ΔP is PB and ΔI is PS then ΔD is
PB
35 International Journal for Modern Trends in Science and Technology
Grid-Connected Photovoltaic System without using Boost Converter
Else
D(t)=D(t-1)+
ΔD
End
If ΔP is PB and ΔI is NB then ΔD is
NB
If ΔP is PB and ΔI is NS then ΔD is
NB
If ΔP is PS and ΔI is PB then ΔD is
PS
If ΔP is PS and ΔI is PS then ΔD is
PS
If ΔP is PS and ΔI is NB then ΔD is
NS
If ΔP is PS and ΔI is PB then ΔD is
NS
elseIf ΔP<0
If ΔI>0
D(t)=D(t-1)-
ΔD
Else
D(t)=D(t-1)+
ΔD
End
If ΔP is NB and ΔI is PB then ΔD is
NB
If ΔP is NB and ΔI is PS then ΔD is
NB
If ΔP is NB and ΔI is NB then ΔD is
PB
If ΔP is NB and ΔI is NS then ΔD is
PB
If ΔP is PS and ΔI is PB then ΔD is
NS
If ΔP is PS and ΔI is PS then ΔD is
NS
If ΔP is PS and ΔI is NB then ΔD is
PS
If ΔP is PS and ΔI is PB then ΔD is
PS
Fig. 5. Block diagram of the FLC-based MPPT.
To operate the fuzzy combination, Mamdani’s
method with Max–Min is used. A center of area
algorithm (COA) is used in the defuzzification stage
to convert the fuzzy subset duty cycle changes into
real numbers.
∆𝑖𝑔. 𝑟𝑒𝑓 = 𝜇𝑛
𝑖 𝐼𝑔. 𝑟𝑒𝑓. 𝑖 𝐼𝑔. 𝑟𝑒𝑓. 𝑖 ÷ 𝜇𝑛
𝑖 𝐼𝑔. 𝑟𝑒𝑓. 𝑖 (3.7)
To ensure synchronization between the grid
current and voltage, a sinusoidal signal generated
by a phase-locked-loop (PLL) is multiplied by the
MPPT output. Fig. 5 shows a block diagram of the
MPPT structure. For precise control of the
single-phase inverter, proportional resonant (PR)
control is employed in the voltage and current loop
controllers. The basic principle of the PR controller
is to introduce an infinite gain at a selected
resonant frequency in order to eliminate
steady-state error at that frequency. The PR
controller transfer function is expressed as
𝑦 = Kpe + Ki
es
s2+ω2
(3.8)
Where Kp is the proportional gain, Ki is the
integral gain, e is the signal error, and ω is the
fundamental angular frequency.
V. SIMULATIONS AND RESULT
In order to validate the theoretical analysis,
closed loop operation of grid connected
photovoltaic system using single phase current
source inverter is simulated on
MATLAB/Simulink. The simulated closed loop
system has taken the circuit parameter values are
shown in (a).
The simulated PV array is connected to the
Double tuned resonant filter which mitigates the
DC side harmonics.
Fig.6. PV Array Structure in Matlab-Simulink
Fig.7. Simulation of grid connected PV system using CSI
The regulated dc power from PV side is fed into
CSI to convert it from dc power to ac power. The
MPPT of this PV plant is controlled by using FLC
and The PV array is simulated by using
matlab/simulink is shown in Fig.6.
To ensure synchronization between the grid
current and voltage, a sinusoidal signal generated
by a phase-locked-loop (PLL) is multiplied by the
MPPT output and produce reference signal will be
sent to the PR controller. The output of the PR
controller is then sent to the PWM block to generate
the pulses for PV inverter. The CSI output current
36 International Journal for Modern Trends in Science and Technology
Volume: 2 | Issue: 09 | September 2016 | ISSN: 2455-3778IJMTST
waveform and the Grid voltage Vg and Grid current
Ig are verified through simulation results.
(a)
(b)
(c)
(d)
Fig.8.output waveforms (a) grid voltage and current ,(b) PV
output power(c) PV current (d)Grid active and reactive
power.
VII. CONCLUSION
A single-stage single-phase grid-connected PV
system using a CSI has been proposed that can
meet the grid requirements without using a high dc
voltage or a bulky transformer. The control
structure of the proposed system consists of MPPT,
a current loop, and a voltage loop to improve
system performance during normal and varying
weather conditions. Since the system consists of a
single-stage, the PV power is delivered to the grid
with high efficiency around 95.95%, low cost, and
small footprint. A modified carrier-based
modulation technique has been proposed to
provide a short circuit current path on the dc side
to magnetize the inductor after every conduction
mode. Moreover, a double-tuned resonant filter has
been proposed to suppress the second- and
fourth-order harmonics on the dc side with
relatively small inductance.The feasibility and
effectiveness of the proposed system has been
successfully evaluated with various simulation
studies.
REFERENCES
[1] W. Fei, J. L. Duarte, and M. A. M. Hendrix,
“Grid-interfacing converter systems with enhanced
voltage quality for microgrid application-concept and
implementation,” IEEE Trans. Power Electron., vol.
26, no. 12, pp. 3501–3513, Dec. 2011
[2] B. N. Alajmi, K. H. Ahmed, S. J. Finney, and B. W.
Williams, “Fuzzy logic- control approach of a
modified hill-climbing method for maximum power
point in microgrid standalone photovoltaic system,”
IEEE Trans. Power Electron., vol. 26, no. 4, pp.
1022–1030, Apr. 2011.
[3] Y. Bo, L.Wuhua, Z. Yi, and H. Xiangning, “Design
and analysis of a grid connected photovoltaic power
system,” IEEE Trans. Power Electron., vol. 25, no. 4,
pp. 992–1000, Apr. 2010.
[4] W. Tsai-Fu, C. Chih-Hao, L. Li-Chiun, and K.
Chia-Ling, “Power loss comparison of single- and
two-stage grid-connected photovoltaic systems,”
IEEE Trans. Energy Convers., vol. 26, no. 2, pp.
707–715, Jun. 2011.
[5] B. Sahan, A. N. Vergara, N. Henze, A. Engler, and P.
Zacharias, “A single stage PV module integrated
converter based on a low-power current-source
inverter,” IEEE Trans. Ind. Electron., vol. 55, no. 7,
pp. 2602–2609, Jul. 2008.
[6] P. P. Dash and M.Kazerani, “Dynamic modeling and
performance analysis of a grid-connected
current-source inverter-based photovoltaic system,”
IEEE Trans. Sustainable Energy, vol. 2, no. 4, pp.
443–450, Oct. 2011.
[7] S. Nonaka, “A suitable single-phase PWM current
source inverter for utility connected residential PV
system,” Sol. Energy Mater. Sol. Cells, vol. 35, pp.
437–444, Sep. 1994.vidmar

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Grid-Connected Photovoltaic System without using Boost Converter

  • 1. 32 International Journal for Modern Trends in Science and Technology Volume: 2 | Issue: 09 | September 2016 | ISSN: 2455-3778IJMTST Grid-Connected Photovoltaic System without using Boost Converter Swathi N. Wankhede1 | Girish K. Mahajan2 | Ajit P. Chaudhari3 1,2,3Department of Electrical Engineering, SSGBCOE, Bhusaval, Maharashtra, India. This paper presents operation and control for improving the efficiency and size of a photovoltaic generation system using a current-source inverter. This system is directly connected utility grid to a solar cell without using a boosting converter. In proposed grid connected PV system the single phase CSI converter used with a double tuned resonant filter circuit. The system uses transformer-less single-stage transformation for tracking the most extreme power point and interfacing the photovoltaic array to the grid. The greatest power point is kept up with a fuzzy logic controller. A proportional-resonant controller is used to control the current injected into the grid. A modified carrier based modulation technique for the current source inverter is proposed to magnetize the dc-link inductor by shorting one of the bridge converter legs after every active switching cycle. KEYWORDS: Doubled tuned resonant filter, Fuzzy Logic Controller, Current source inverter (CSI), grid, and photovoltaic array Copyright © 2016 International Journal for Modern Trends in Science and Technology All rights reserved. I. INTRODUCTION Renewable energy resources are gaining more importance these days owing to the increasing energy demand, rising fuel cost, depletion of fossil fuels, and global warming. Among all the renewable energy resources, solar energy is very popular because sunlight is available throughout the year. Every day, the sun delivers light energy to earth at free of cost. PV plant is used to convert the sun light energy into electricity. PV modules or panels are made of semiconductor material that allows sunlight to be converted directly into electricity and provides electrical power for long time. PV systems are categorized into three types such as standalone, hybrid systems, and grid-connected systems. The type of system is selected based on the needs, location, and budget. The grid-connected system which generates the power and it is directly connected to local grid, the part of generated power is utilized through local loads which are connected to grid and the remaining excess power is fed to the grid and hence batteries are not required. The grid connected solar PV system requires the power converters. This power converter is used to convert the direct current from the PV plant to the desired values of AC with the highest possible efficiency and provide quality power to the utility grid. Single-stage and two-stage grid-connected systems are commonly used topologies in single- and three-phase PV applications. In a single-stage grid-connected system, the PV system utilizes a single conversion unit (dc/ac power inverter) to track the maximum power point (MPP) and interface the PV system to the grid. In such a topology, PV maximum power is delivered into the grid with high efficiency, small size, and low cost. However, to fulfill grid requirements, such a topology requires either a step-up transformer, which reduces the system efficiency and increases cost, or a PV array with a high dc voltage. High-voltage systems suffer from hotspots during partial shadowing and increased leakage current between the panel and the system ground though parasitic capacitances. Moreover, inverter control is complicated because the control objectives, such as MPP tracking (MPPT), power factor correction, and harmonic reduction, are simultaneously considered. On the other hand, a two-stage grid-connected PV system utilizes two conversion stages: a dc/dc ABSTRACT
  • 2. 33 International Journal for Modern Trends in Science and Technology Grid-Connected Photovoltaic System without using Boost Converter converter for boosting and conditioning the PV output voltage and tracking the MPP, and a dc/ac inverter for interfacing the PV system to the grid. In such a topology, a high-voltage PV array is not essential, because of the dc voltage boosting stage. However, this two-stage technique suffers from reduced efficiency, higher cost, and larger size. From the aforementioned drawbacks of existing grid connected PV systems, it is apparent that the efficiency and footprint of the two-stage grid-connected system are not attractive. Therefore, single-stage inverters have gained attention, especially in low voltage applications. The conventional voltage source inverter (VSI) is the most commonly used interface unit in grid-connected PV system technology due to its simplicity and availability. However, a bulky transformer and an unreliable electrolytic capacitor are still required. The current-source inverter (CSI) has the potential of becoming a preferred topology for interfacing a PV system to the ac power grid for the following reasons. 1) CSI provides a smooth dc-side current, which is a desirable feature for PV modules. 2) The energy storage element of a CSI has a longer lifetime than that of a VSI. 3) CSI has an inherent voltage boosting capability, which allows integration of PV panels of lower output voltages and reduces the requirements of the step-up interface transformer. 4) With the evolution of reverse-blocking (RB) IGBT switches, the series diodes will be eliminated, resulting in a considerable reduction in the cost and conduction losses. Grid-connected PV systems using a CSI have been proposed and successfully delivered PV power to the grid, with a low total harmonic distortion (THD). However, an ac current loop is essential in the grid connected application in order to limit the current and quickly recover the grid current variation during varying weather conditions. In this paper, a single-stage single-phase grid-connected PV system-based on a CSI is proposed. A doubled-tuned parallel resonant circuit is proposed to eliminate the second- and fourth order harmonics on the dc side. Moreover, a modified carrier based modulation technique is proposed to provide a continuous path for the dc-side current after each active switching cycle. The control structure consists of MPPT, an ac current loop, and a voltage loop. To demonstrate the effectiveness and robustness of the proposed system, computer-aided simulation and practical results are used to validate the system Fig.1 Proposed System II. SYSTEM DESCRIPTION A grid-connected PV system using a single-phase CSI is shown in Fig. 1. The inverter has four insulated-gate bipolar transistors (IGBTs) (S1–S4) and four diodes (D1–D4). Each diode is connected in series with an IGBT switch for reverse blocking capability. A doubled-tuned parallel resonant circuit in series with dc-link inductor Ldc is employed for smoothing the dc link current. To eliminate the switching harmonics, a C–L filter is connected into the inverter ac side A. Circuit Parameters Resonant filter inductor,(L1)=5mH Resonant filter inductor(L2)=10mH Resonant filter capacitor (C1)=125microfarad Resonant filter capacitor (C2)=250microfarad DC link inductor Ldc= 900mH AC line inductor= 300mH AC line capacitor= 20microfarad Fig.2 Interfacing the Photovoltaic Array to the Grid III. DOUBLE-TUNED RESONANT FILTER In a single-phase CSI, the pulsating instantaneous power of twice the system frequency generates even harmonics in the dc-link current. These harmonics reflect onto the ac side as low order odd harmonics in the current and voltage. Undesirably, these even harmonics affect MPPT in PV system applications and reduce the PV lifetime. In order to mitigate the impact of these dc-side
  • 3. 34 International Journal for Modern Trends in Science and Technology Volume: 2 | Issue: 09 | September 2016 | ISSN: 2455-3778IJMTST harmonics on the ac side and on the PV, the dclink inductance must be large enough to suppress the dc-link current ripple produced by these harmonics. Practically, large dc-link inductance is not acceptable, because of its cost, size, weight, and the fact that it slows MPPT transient response. To reduce the necessary dc-link inductance, a parallel resonant circuit tuned to the second-order harmonic is employed in series with the dc-link inductor. The filter is capable of smoothing the dc-link current by using relatively small inductances. Even though the impact of the second-order harmonic is significant in the dc-link current, the fourth-order harmonic can also affect the dc-link current, especially when the CSI operates at high modulation indices. Therefore, in an attempt to improve the parallel resonant circuit, this paper proposes a double-tuned parallel resonant circuit tuned at the second- and fourth-order harmonics, as shown in Fig. 3 Fig. 3. Proposed double-tuned resonant filter IV. PROPOSED SYSTEM CONTROL TECHNIQUE To design a grid-connected PV system using a CSI, the relationship between the PV output voltage and the grid voltage is derived as follows By neglecting inverter losses, the PV output power is equal to the grid power VPVIPV = 1/2Ig,peakVg,peak cos θ (3.1) where θ is the phase angle, Vpv and Ipv are the PV output voltage and current, respectively, while Vg,peak and Ig,peak are the grid peak voltage and current, respectively. The grid current is equal to the PV output current multiplied by the inverter modulation index M Ig,peak = MIPV (3.2) Substituting (3.2) into (3.1), assuming unity power factor, the equation describing the relationship between the PVoutput voltage and the grid voltage is VPV =1/2MVg,peak. (3.3) Therefore, in order to interface the PV system to the grid using a CSI, the PV voltage should not exceed half the grid peak voltage. The CSI is utilized to track the PV MPP and to interface the PV system to the grid. In order to achieve these requirements, three control loops are employed, namely MPPT, an ac current loop, and a voltage loop. To operate the PV at the MPP, MPPT is used to identify the optimum grid current peak value. Any conventional MPPT technique can be used. However, to prevent significant losses in power, the tracking technique should be fast enough to handle any variation in load or weather conditions. Therefore, a fuzzy logic controller (FLC) is used to quickly locate the MPP. The inputs of the FLC are ΔP = P(k) − P(k − 1) (3.4) ΔIPV = IPV(k) − IPV(k − 1) (3.5) and the output equation is ΔIg,ref = Ig,ref (k) − Ig,ref (k − 1) (3.6) whereΔP andΔIPV are the PV array output power and current change, ΔIg,ref is the grid current amplitude change reference, Ig,ref is the grid current reference, and k is the sample instant. The variable inputs and output are divided into four fuzzy subsets: PB (Positive Big), PS (Positive Small), NB (Negative Big), and NS (Negative Small). Therefore, the fuzzy algorithm requires 16 fuzzy control rules; these rules are based on the regulation of the hill climbing algorithm, where the fuzzy rules are shown in Table I. Fig 4. FLC Membership Functions for ΔP, ΔI and ΔD. TABLE I; - Fuzzification of modified hillclimbing rules If ΔP>0 If ΔI>0 D(t)=D(t-1)+ ΔD If ΔP is PB and ΔI is PB then ΔD is PB If ΔP is PB and ΔI is PS then ΔD is PB
  • 4. 35 International Journal for Modern Trends in Science and Technology Grid-Connected Photovoltaic System without using Boost Converter Else D(t)=D(t-1)+ ΔD End If ΔP is PB and ΔI is NB then ΔD is NB If ΔP is PB and ΔI is NS then ΔD is NB If ΔP is PS and ΔI is PB then ΔD is PS If ΔP is PS and ΔI is PS then ΔD is PS If ΔP is PS and ΔI is NB then ΔD is NS If ΔP is PS and ΔI is PB then ΔD is NS elseIf ΔP<0 If ΔI>0 D(t)=D(t-1)- ΔD Else D(t)=D(t-1)+ ΔD End If ΔP is NB and ΔI is PB then ΔD is NB If ΔP is NB and ΔI is PS then ΔD is NB If ΔP is NB and ΔI is NB then ΔD is PB If ΔP is NB and ΔI is NS then ΔD is PB If ΔP is PS and ΔI is PB then ΔD is NS If ΔP is PS and ΔI is PS then ΔD is NS If ΔP is PS and ΔI is NB then ΔD is PS If ΔP is PS and ΔI is PB then ΔD is PS Fig. 5. Block diagram of the FLC-based MPPT. To operate the fuzzy combination, Mamdani’s method with Max–Min is used. A center of area algorithm (COA) is used in the defuzzification stage to convert the fuzzy subset duty cycle changes into real numbers. ∆𝑖𝑔. 𝑟𝑒𝑓 = 𝜇𝑛 𝑖 𝐼𝑔. 𝑟𝑒𝑓. 𝑖 𝐼𝑔. 𝑟𝑒𝑓. 𝑖 ÷ 𝜇𝑛 𝑖 𝐼𝑔. 𝑟𝑒𝑓. 𝑖 (3.7) To ensure synchronization between the grid current and voltage, a sinusoidal signal generated by a phase-locked-loop (PLL) is multiplied by the MPPT output. Fig. 5 shows a block diagram of the MPPT structure. For precise control of the single-phase inverter, proportional resonant (PR) control is employed in the voltage and current loop controllers. The basic principle of the PR controller is to introduce an infinite gain at a selected resonant frequency in order to eliminate steady-state error at that frequency. The PR controller transfer function is expressed as 𝑦 = Kpe + Ki es s2+ω2 (3.8) Where Kp is the proportional gain, Ki is the integral gain, e is the signal error, and ω is the fundamental angular frequency. V. SIMULATIONS AND RESULT In order to validate the theoretical analysis, closed loop operation of grid connected photovoltaic system using single phase current source inverter is simulated on MATLAB/Simulink. The simulated closed loop system has taken the circuit parameter values are shown in (a). The simulated PV array is connected to the Double tuned resonant filter which mitigates the DC side harmonics. Fig.6. PV Array Structure in Matlab-Simulink Fig.7. Simulation of grid connected PV system using CSI The regulated dc power from PV side is fed into CSI to convert it from dc power to ac power. The MPPT of this PV plant is controlled by using FLC and The PV array is simulated by using matlab/simulink is shown in Fig.6. To ensure synchronization between the grid current and voltage, a sinusoidal signal generated by a phase-locked-loop (PLL) is multiplied by the MPPT output and produce reference signal will be sent to the PR controller. The output of the PR controller is then sent to the PWM block to generate the pulses for PV inverter. The CSI output current
  • 5. 36 International Journal for Modern Trends in Science and Technology Volume: 2 | Issue: 09 | September 2016 | ISSN: 2455-3778IJMTST waveform and the Grid voltage Vg and Grid current Ig are verified through simulation results. (a) (b) (c) (d) Fig.8.output waveforms (a) grid voltage and current ,(b) PV output power(c) PV current (d)Grid active and reactive power. VII. CONCLUSION A single-stage single-phase grid-connected PV system using a CSI has been proposed that can meet the grid requirements without using a high dc voltage or a bulky transformer. The control structure of the proposed system consists of MPPT, a current loop, and a voltage loop to improve system performance during normal and varying weather conditions. Since the system consists of a single-stage, the PV power is delivered to the grid with high efficiency around 95.95%, low cost, and small footprint. A modified carrier-based modulation technique has been proposed to provide a short circuit current path on the dc side to magnetize the inductor after every conduction mode. Moreover, a double-tuned resonant filter has been proposed to suppress the second- and fourth-order harmonics on the dc side with relatively small inductance.The feasibility and effectiveness of the proposed system has been successfully evaluated with various simulation studies. REFERENCES [1] W. Fei, J. L. Duarte, and M. A. M. Hendrix, “Grid-interfacing converter systems with enhanced voltage quality for microgrid application-concept and implementation,” IEEE Trans. Power Electron., vol. 26, no. 12, pp. 3501–3513, Dec. 2011 [2] B. N. Alajmi, K. H. Ahmed, S. J. Finney, and B. W. Williams, “Fuzzy logic- control approach of a modified hill-climbing method for maximum power point in microgrid standalone photovoltaic system,” IEEE Trans. Power Electron., vol. 26, no. 4, pp. 1022–1030, Apr. 2011. [3] Y. Bo, L.Wuhua, Z. Yi, and H. Xiangning, “Design and analysis of a grid connected photovoltaic power system,” IEEE Trans. Power Electron., vol. 25, no. 4, pp. 992–1000, Apr. 2010. [4] W. Tsai-Fu, C. Chih-Hao, L. Li-Chiun, and K. Chia-Ling, “Power loss comparison of single- and two-stage grid-connected photovoltaic systems,” IEEE Trans. Energy Convers., vol. 26, no. 2, pp. 707–715, Jun. 2011. [5] B. Sahan, A. N. Vergara, N. Henze, A. Engler, and P. Zacharias, “A single stage PV module integrated converter based on a low-power current-source inverter,” IEEE Trans. Ind. Electron., vol. 55, no. 7, pp. 2602–2609, Jul. 2008. [6] P. P. Dash and M.Kazerani, “Dynamic modeling and performance analysis of a grid-connected current-source inverter-based photovoltaic system,” IEEE Trans. Sustainable Energy, vol. 2, no. 4, pp. 443–450, Oct. 2011. [7] S. Nonaka, “A suitable single-phase PWM current source inverter for utility connected residential PV system,” Sol. Energy Mater. Sol. Cells, vol. 35, pp. 437–444, Sep. 1994.vidmar