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Journal for Research | Volume 03 | Issue 12 | February 2018
ISSN: 2395-7549
All rights reserved by www.journal4research.org 43
Design a Two Stage Grid Connected PV Systems
with Constant Power Generation and Input
Output Linearizer Controller
B. Noorul Hamitha S. Rajavinitha
Assistant Professor PG Scholar
Department of Electrical and Electronics Engineering Department of Electrical and Electronics Engineering
Kamaraj College of Engineering & Technology,
Virudhunagar, India
Kamaraj College of Engineering & Technology,
Virudhunagar, India
K. Lavanya
PG Scholar
Department of Electrical and Electronics Engineering
Kamaraj College of Engineering & Technology, Virudhunagar, India
Abstract
The many Different techniques for Maximum Power Point Tracking of Photovoltaic arrays are discussed. This constant power
generation is produced by limiting to a set limit around the MPPT, which makes the panel to reach around the MPPT, this makes
the voltage and the current to stabilize so oscillations are reduced. These methods provide a better efficiency but suffer from
sudden solar irradiance changes. Hence to alleviate the issues of the variation power a robust controller based on the Input
Output Linearizer along with the constant power control is introduced. This controller can ensure a fast transition between
maximum power point tracking regardless of the solar irradiance levels, high performance and stable operation are always
achieved by the proposed control strategy. It can regulate the PV output power according to any set point and force the PV
systems to operate around MPPT which enhances the efficiency.
Keywords: Active Power Control, Constant Power Control, Maximum Power Point Tracking (MPPT), Power
Converters, PV Systems, Linear Current Controller
_______________________________________________________________________________________________________
I. INTRODUCTION
Residential Photo Voltaic (PV) installations exceeded 21 GW by the end of 2011. It was estimated that the rate of increase in the
last year (2012) would be 60%, and over 85% of the added power would come from units below 20 kW [1]. This study is
concerned with the control of small-scale PV installations, to provide fast maximum power point tracking (MPPT) during
normal operation as well as to limit the power level when it becomes excessive. This paper is a continuation in building a hybrid
wind–PV generation system [2]–[4]. The main enhancement of the study is a solution regarding the overloading of the system
which has happened in many occasions.
The problem directed to this research is the high-power, low-frequency oscillations that can happen during wind turbine soft
stalling, overloading the system upto 1.5 times of the rated power. The reduced power mode (RPM) of operation as proposed in
this study can be used to suppress the oscillation due to the fast response of the PV generator. Furthermore, excessive solar
radiation at a low temperature can also overload the power electronics in the system. Therefore, RPM is essential to limit the
power extracted from the PV array to avoid damaging the downstream circuit [5].
Power limiting may also be called upon in islanded, small-scale hybrid systems when the energy storage is full. The PV
generator should normally operate in the MPPT mode. Methods for MPPT include “open circuit voltage,” “short circuit current,”
“pilot cell,” and “hill climbing” [6]–[7]. Because of the low cost and simplicity in using a dc/dc boost converter, “hill climbing”
is perhaps the most widely used and is often implemented in a “perturb–observe” algorithm [8]–[10]. However, the searching
process for the maximum power point can easily fail to converge if the radiation changes rapidly and frequently. Incremental
conductance (IC) is another interesting method which has previously been verified [11].
To improve convergence, a variable-step incremental conductance method was proposed [12]–[14]. A similar algorithm is
proposed in this study with direct duty ratio adjustment. The two key parameters to design such an MPPT controller are: the time
interval between two consecutive perturbations (δTp) and the magnitude of each perturbation to the duty ratio of the dc/dc boost
converter (δdp). This study attempts to establish a design methodology based on a dynamical model of the system for these two
parameters, and as a consequence, to optimize the performance of the adopted controller.
Maximum power point tracking (MPPT) operation is mandatory for grid-connected PV systems in order to maximize the
energy yield. Catering for more PV installations requires advancing the power control schemes as well as the regulations in order
to avoid adverse impacts from PV systems like overloading the power grid [15]. Such an active power control is referred to as a
Design a Two Stage Grid Connected PV Systems with Constant Power Generation and Input Output Linearizer Controller
(J4R/ Volume 03 / Issue 12 / 009)
All rights reserved by www.journal4research.org 44
constant power generation (CPG) control or an absolute power control like described in the Danish grid code [16]. Photo Voltaic
(PV) power supplied to the utility grid is gaining more and more visibility, while the world’s power demand is increasing [17].
Not many PV systems have so far been placed into the grid due to the relatively high cost, compared with more traditional
energy sources such as oil, gas, coal, nuclear, hydro, and wind. Solid-state inverters have been shown to be the enabling
technology for putting PV systems into the grid.
Fig. 1: Operational Principle of the P&O-CPG Algorithm, where the Operating Point is Regulated to the Left side of the MPP Considering
Stability Issues
II. OPERATIONAL PRINCIPLE
The operational principle of the conventional P&O-CPG algorithm is illustrated in Fig. 1. 1) MPPT mode (Ppv ≤ Plimit), where the
P&O algorithm should track the maximum power and 2) CPG mode (Ppv > Plimit), where the PV output power is limited at Plimit
[18 19]. During the MPPT operation, the behavior of the algorithm is similar to the conventional P&O MPPT algorithm—the
operating point will track and oscillate around the MPP. In the case of the CPG operation, the PV voltage vpv is continuously
perturbed toward a point referred to as constant power point (CPP), i.e. Ppv = Plimit. After a number of iterations, the operating
point will reach and oscillate around the CPP. Although the PV system with the P&O-CPG control can operate at both CPPs,
only the operation at the left side of the MPP (CPP-L) is focused for the stability concern. The control structure of the algorithm
is shown in Fig. 2, where v pv can be expressed as vpv = vMPPT, when Ppv ≤ Plimit vpv,n − vstep, when Ppv > Plimit. Where vMPPT is the
reference voltage from the MPPT algorithm. vpv,n is the measured PV voltage, and vstep is the perturbation step size [20].
Fig. 2: Control Structure of the P&O-CPG Algorithm, where a PI is adopted
III. ISSUES OF THE P&O- CPG ALGORITHM
The P&O- CPG algorithm has a satisfied performance under slow changing irradiance conditions. During a clear day, when the
operating point is at the left side of the MPPT, as shown in Fig. 3(a). However, irradiance fluctuation that may happen in a
cloudy day will result in overshoots and power losses as shown in Fig. 3(b). Assuming that the PV system is operating in MPPT
mode initially and the irradiance level suddenly increases, the PV power Ppv is basically lifted by the change in the irradiance as
it can be seen from the black arrow trajectory (i.e.,A→B→C) P&O Algorithm Shown in Table 1.As a consequence, large power
overshoots may occur [21]. Similarly, if the PV system is operating in the CPG operation (e.g., at CPPL) and the irradiance
suddenly drops, the output power Ppv will make a sudden decrease. So Some Energy is wasted in this process.
Table 1: Summary of hill climbing and p&o algorithm
Design a Two Stage Grid Connected PV Systems with Constant Power Generation and Input Output Linearizer Controller
(J4R/ Volume 03 / Issue 12 / 009)
All rights reserved by www.journal4research.org 45
Fig. 3: Experimental Results of the P&O-CPG Algorithm under Two Daily Conditions: (a) Clear Day and (b) Cloudy Day.
IV. INPUT OUTPUT FEEDBACK LINEARIZATION THEORY
The main idea of the input output linearization approach is to design a nonlinear control, which transforms a nonlinear system
dynamics into fully or partially decoupled linear subsystems, so that linear control techniques can be easily applied
[22,23].Consider a nonlinear multi input multi output system as follows:
𝑋 = 𝑓(𝑥) + 𝑔(𝑥). 𝑢; 𝑌 = ℎ(𝑥) (1)
Where x is the n x1 state vector, u is the m x 1 control input vector, y is the m x 1 vector of system outputs, f and h are vector
fields, and g is an n x m matrix whose columns are vector fields gi. For obtaining the exact input output feedback linearization,
the system outputs yi must be differentiated until the inputs appear.
Assume that ri is the smallest integer in a way. In this paper, the current control has been implemented in a rotating
synchronous reference frame d, q because the controller can eliminate a steady-state error and has fast transient response by
decoupling control Fig [4].A number of techniques are available in the literature for designing the MPPT. Perturb and observe
(PO), and incremental conductance method are commonly used techniques in the area of photovoltaic systems. Among the
MPPT techniques, the perturbation and observation (P&O) method is the most popular because of the simplicity of its control
structure. Yet, in the presence of rapidly changing atmospheric conditions, the P&O MPPT algorithm can be confused due to the
fact that it is not able to distinguish the variations of the output power caused by the tracker perturbation from those caused by
the irradiance variation. Recently, improved P&O MPPT algorithms for rapidly changing environmental conditions have been
proposed by Sera et al. The signal error was designed to reflect the change in power caused by the irradiation variation. Hence,
with this information, the proposed algorithm can greatly reduce the power losses caused by the dynamic tracking errors under
rapid weather changing conditions [24].
The superiority of the newly proposed method is supported by simulation results. Finally, the stability of the system with the
proposed control scheme is investigated by considering the environmental changes. The rest of the paper is organized as follows.
Section VI shows the simulation results with the proposed controller under different circumstances. Finally, the paper is
concluded in Section VII.
Fig. 4:
PI Controller
PI controller is widely used in conjunction with dq control, but its implementation in abc frame is also possible as described in
[25]. The transfer function of the controller in this case and the complexity of the controller matrix in this case, due to the
significant off-diagonal terms representing the cross coupling between the phases, is noticeable.
Design a Two Stage Grid Connected PV Systems with Constant Power Generation and Input Output Linearizer Controller
(J4R/ Volume 03 / Issue 12 / 009)
All rights reserved by www.journal4research.org 46
Advantages
Using this control method, changes of solar irradiation and temperature do not affect the power factor of the grid [26].It also
Regulate the Input Output Current and Voltage.
Fig. 5: Linearizing Current Control
V. SIMULATION RESULT
This section presents the simulation results of the conventional PI and PID method in order to validate the performance of the
control scheme. Computer simulation has been done using MATLAB/PLECS.PLECS is used for Renewable Sources. It
Simulation running time is low When compared the other Software. The full diagram of the control methodology and the
modulation is shown in Fig. 6, 7.
Fig. 6: Input Output Voltage and Current.
Fig. 7: Input Output Power
Design a Two Stage Grid Connected PV Systems with Constant Power Generation and Input Output Linearizer Controller
(J4R/ Volume 03 / Issue 12 / 009)
All rights reserved by www.journal4research.org 47
VI. CONCLUSION
The control problem of grid-connected photovoltaic arrays is stated as to provide the maximum of power irrespective of the solar
irradiance conditions. The main objective of this paper is, to avoid possible mistakes of the classical P&O algorithm due to the
fast-changing irradiation. This paper has proposed an improved MPPT controller without PV array power measurement. This
MPPT method permits one to differentiate the contribution of increment perturbation and irradiation change in power variation,
hence identifying the correct direction of the MPP. The steady-state and dynamic responses illustrated the perfect desired
reference tracking controller. Moreover, the output power losses caused by the dynamic tracking errors are significantly reduced,
particularly under fast changing irradiation. The proposed control algorithm is simple, robust and easy to implement in real time
applications. The MATLAB/ PLECS numerical simulations have shown that the proposed scheme is quite effective at tracking
strongly variable irradiance Conditions.
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DESIGN A TWO STAGE GRID CONNECTED PV SYSTEMS WITH CONSTANT POWER GENERATION AND INPUT OUTPUT LINEARIZER CONTROLLER | J4RV3I12015

  • 1. Journal for Research | Volume 03 | Issue 12 | February 2018 ISSN: 2395-7549 All rights reserved by www.journal4research.org 43 Design a Two Stage Grid Connected PV Systems with Constant Power Generation and Input Output Linearizer Controller B. Noorul Hamitha S. Rajavinitha Assistant Professor PG Scholar Department of Electrical and Electronics Engineering Department of Electrical and Electronics Engineering Kamaraj College of Engineering & Technology, Virudhunagar, India Kamaraj College of Engineering & Technology, Virudhunagar, India K. Lavanya PG Scholar Department of Electrical and Electronics Engineering Kamaraj College of Engineering & Technology, Virudhunagar, India Abstract The many Different techniques for Maximum Power Point Tracking of Photovoltaic arrays are discussed. This constant power generation is produced by limiting to a set limit around the MPPT, which makes the panel to reach around the MPPT, this makes the voltage and the current to stabilize so oscillations are reduced. These methods provide a better efficiency but suffer from sudden solar irradiance changes. Hence to alleviate the issues of the variation power a robust controller based on the Input Output Linearizer along with the constant power control is introduced. This controller can ensure a fast transition between maximum power point tracking regardless of the solar irradiance levels, high performance and stable operation are always achieved by the proposed control strategy. It can regulate the PV output power according to any set point and force the PV systems to operate around MPPT which enhances the efficiency. Keywords: Active Power Control, Constant Power Control, Maximum Power Point Tracking (MPPT), Power Converters, PV Systems, Linear Current Controller _______________________________________________________________________________________________________ I. INTRODUCTION Residential Photo Voltaic (PV) installations exceeded 21 GW by the end of 2011. It was estimated that the rate of increase in the last year (2012) would be 60%, and over 85% of the added power would come from units below 20 kW [1]. This study is concerned with the control of small-scale PV installations, to provide fast maximum power point tracking (MPPT) during normal operation as well as to limit the power level when it becomes excessive. This paper is a continuation in building a hybrid wind–PV generation system [2]–[4]. The main enhancement of the study is a solution regarding the overloading of the system which has happened in many occasions. The problem directed to this research is the high-power, low-frequency oscillations that can happen during wind turbine soft stalling, overloading the system upto 1.5 times of the rated power. The reduced power mode (RPM) of operation as proposed in this study can be used to suppress the oscillation due to the fast response of the PV generator. Furthermore, excessive solar radiation at a low temperature can also overload the power electronics in the system. Therefore, RPM is essential to limit the power extracted from the PV array to avoid damaging the downstream circuit [5]. Power limiting may also be called upon in islanded, small-scale hybrid systems when the energy storage is full. The PV generator should normally operate in the MPPT mode. Methods for MPPT include “open circuit voltage,” “short circuit current,” “pilot cell,” and “hill climbing” [6]–[7]. Because of the low cost and simplicity in using a dc/dc boost converter, “hill climbing” is perhaps the most widely used and is often implemented in a “perturb–observe” algorithm [8]–[10]. However, the searching process for the maximum power point can easily fail to converge if the radiation changes rapidly and frequently. Incremental conductance (IC) is another interesting method which has previously been verified [11]. To improve convergence, a variable-step incremental conductance method was proposed [12]–[14]. A similar algorithm is proposed in this study with direct duty ratio adjustment. The two key parameters to design such an MPPT controller are: the time interval between two consecutive perturbations (δTp) and the magnitude of each perturbation to the duty ratio of the dc/dc boost converter (δdp). This study attempts to establish a design methodology based on a dynamical model of the system for these two parameters, and as a consequence, to optimize the performance of the adopted controller. Maximum power point tracking (MPPT) operation is mandatory for grid-connected PV systems in order to maximize the energy yield. Catering for more PV installations requires advancing the power control schemes as well as the regulations in order to avoid adverse impacts from PV systems like overloading the power grid [15]. Such an active power control is referred to as a
  • 2. Design a Two Stage Grid Connected PV Systems with Constant Power Generation and Input Output Linearizer Controller (J4R/ Volume 03 / Issue 12 / 009) All rights reserved by www.journal4research.org 44 constant power generation (CPG) control or an absolute power control like described in the Danish grid code [16]. Photo Voltaic (PV) power supplied to the utility grid is gaining more and more visibility, while the world’s power demand is increasing [17]. Not many PV systems have so far been placed into the grid due to the relatively high cost, compared with more traditional energy sources such as oil, gas, coal, nuclear, hydro, and wind. Solid-state inverters have been shown to be the enabling technology for putting PV systems into the grid. Fig. 1: Operational Principle of the P&O-CPG Algorithm, where the Operating Point is Regulated to the Left side of the MPP Considering Stability Issues II. OPERATIONAL PRINCIPLE The operational principle of the conventional P&O-CPG algorithm is illustrated in Fig. 1. 1) MPPT mode (Ppv ≤ Plimit), where the P&O algorithm should track the maximum power and 2) CPG mode (Ppv > Plimit), where the PV output power is limited at Plimit [18 19]. During the MPPT operation, the behavior of the algorithm is similar to the conventional P&O MPPT algorithm—the operating point will track and oscillate around the MPP. In the case of the CPG operation, the PV voltage vpv is continuously perturbed toward a point referred to as constant power point (CPP), i.e. Ppv = Plimit. After a number of iterations, the operating point will reach and oscillate around the CPP. Although the PV system with the P&O-CPG control can operate at both CPPs, only the operation at the left side of the MPP (CPP-L) is focused for the stability concern. The control structure of the algorithm is shown in Fig. 2, where v pv can be expressed as vpv = vMPPT, when Ppv ≤ Plimit vpv,n − vstep, when Ppv > Plimit. Where vMPPT is the reference voltage from the MPPT algorithm. vpv,n is the measured PV voltage, and vstep is the perturbation step size [20]. Fig. 2: Control Structure of the P&O-CPG Algorithm, where a PI is adopted III. ISSUES OF THE P&O- CPG ALGORITHM The P&O- CPG algorithm has a satisfied performance under slow changing irradiance conditions. During a clear day, when the operating point is at the left side of the MPPT, as shown in Fig. 3(a). However, irradiance fluctuation that may happen in a cloudy day will result in overshoots and power losses as shown in Fig. 3(b). Assuming that the PV system is operating in MPPT mode initially and the irradiance level suddenly increases, the PV power Ppv is basically lifted by the change in the irradiance as it can be seen from the black arrow trajectory (i.e.,A→B→C) P&O Algorithm Shown in Table 1.As a consequence, large power overshoots may occur [21]. Similarly, if the PV system is operating in the CPG operation (e.g., at CPPL) and the irradiance suddenly drops, the output power Ppv will make a sudden decrease. So Some Energy is wasted in this process. Table 1: Summary of hill climbing and p&o algorithm
  • 3. Design a Two Stage Grid Connected PV Systems with Constant Power Generation and Input Output Linearizer Controller (J4R/ Volume 03 / Issue 12 / 009) All rights reserved by www.journal4research.org 45 Fig. 3: Experimental Results of the P&O-CPG Algorithm under Two Daily Conditions: (a) Clear Day and (b) Cloudy Day. IV. INPUT OUTPUT FEEDBACK LINEARIZATION THEORY The main idea of the input output linearization approach is to design a nonlinear control, which transforms a nonlinear system dynamics into fully or partially decoupled linear subsystems, so that linear control techniques can be easily applied [22,23].Consider a nonlinear multi input multi output system as follows: 𝑋 = 𝑓(𝑥) + 𝑔(𝑥). 𝑢; 𝑌 = ℎ(𝑥) (1) Where x is the n x1 state vector, u is the m x 1 control input vector, y is the m x 1 vector of system outputs, f and h are vector fields, and g is an n x m matrix whose columns are vector fields gi. For obtaining the exact input output feedback linearization, the system outputs yi must be differentiated until the inputs appear. Assume that ri is the smallest integer in a way. In this paper, the current control has been implemented in a rotating synchronous reference frame d, q because the controller can eliminate a steady-state error and has fast transient response by decoupling control Fig [4].A number of techniques are available in the literature for designing the MPPT. Perturb and observe (PO), and incremental conductance method are commonly used techniques in the area of photovoltaic systems. Among the MPPT techniques, the perturbation and observation (P&O) method is the most popular because of the simplicity of its control structure. Yet, in the presence of rapidly changing atmospheric conditions, the P&O MPPT algorithm can be confused due to the fact that it is not able to distinguish the variations of the output power caused by the tracker perturbation from those caused by the irradiance variation. Recently, improved P&O MPPT algorithms for rapidly changing environmental conditions have been proposed by Sera et al. The signal error was designed to reflect the change in power caused by the irradiation variation. Hence, with this information, the proposed algorithm can greatly reduce the power losses caused by the dynamic tracking errors under rapid weather changing conditions [24]. The superiority of the newly proposed method is supported by simulation results. Finally, the stability of the system with the proposed control scheme is investigated by considering the environmental changes. The rest of the paper is organized as follows. Section VI shows the simulation results with the proposed controller under different circumstances. Finally, the paper is concluded in Section VII. Fig. 4: PI Controller PI controller is widely used in conjunction with dq control, but its implementation in abc frame is also possible as described in [25]. The transfer function of the controller in this case and the complexity of the controller matrix in this case, due to the significant off-diagonal terms representing the cross coupling between the phases, is noticeable.
  • 4. Design a Two Stage Grid Connected PV Systems with Constant Power Generation and Input Output Linearizer Controller (J4R/ Volume 03 / Issue 12 / 009) All rights reserved by www.journal4research.org 46 Advantages Using this control method, changes of solar irradiation and temperature do not affect the power factor of the grid [26].It also Regulate the Input Output Current and Voltage. Fig. 5: Linearizing Current Control V. SIMULATION RESULT This section presents the simulation results of the conventional PI and PID method in order to validate the performance of the control scheme. Computer simulation has been done using MATLAB/PLECS.PLECS is used for Renewable Sources. It Simulation running time is low When compared the other Software. The full diagram of the control methodology and the modulation is shown in Fig. 6, 7. Fig. 6: Input Output Voltage and Current. Fig. 7: Input Output Power
  • 5. Design a Two Stage Grid Connected PV Systems with Constant Power Generation and Input Output Linearizer Controller (J4R/ Volume 03 / Issue 12 / 009) All rights reserved by www.journal4research.org 47 VI. CONCLUSION The control problem of grid-connected photovoltaic arrays is stated as to provide the maximum of power irrespective of the solar irradiance conditions. The main objective of this paper is, to avoid possible mistakes of the classical P&O algorithm due to the fast-changing irradiation. This paper has proposed an improved MPPT controller without PV array power measurement. This MPPT method permits one to differentiate the contribution of increment perturbation and irradiation change in power variation, hence identifying the correct direction of the MPP. The steady-state and dynamic responses illustrated the perfect desired reference tracking controller. Moreover, the output power losses caused by the dynamic tracking errors are significantly reduced, particularly under fast changing irradiation. The proposed control algorithm is simple, robust and easy to implement in real time applications. The MATLAB/ PLECS numerical simulations have shown that the proposed scheme is quite effective at tracking strongly variable irradiance Conditions. REFERENCES [1] U.S. Energy Information Administration. International Energy Outlook 2011. (Sep. 2011). [Online]. Available: www.eia.doe.gov/oiaf/ieo/index.html [2] A. Ahmed, L. Ran, and J. Bumby, “Simulation and control of a hybrid PVwind system,” presented at IET 4th Conf. Power Electron. Mach. Drives,York,2008 [3] A. Ahmed, L. Ran, and J. Bumby, “New constant electrical power softstalling control for small-scale VAWTs,” IEEE Trans. Energy Convers., vol. 25, no. 4, pp. 1152–1161, Apr. 2010. [4] A. Ahmed, L. Ran, and J. Bumby, “Stalling region instability compensation for constant power soft stalling control,” presented at IETPEMD 2010, Brighton, UK, 2010. [5] F Giraud and Z Salameh, “Steady-state performance of a grid-connected rooftop hybrid wind–photovoltaic power system with battery storage,”IEEE Trans. Energy Convers., vol. 16, no. 1, pp.1–7, Feb.2001. [6] T. Esram and P. Chapman, “Comparison of photovoltaic array maximum power point tracking techniques,” IEEE Trans. Energy Convers., vol. 22, no. 2, pp. 439–449, Jun. 2007. [7] D. Hohm and M. Ropp, “Comparative study of maximum power point tracking algorithms using an experimental, programmable, maximum power point tracking test bed,” presented at IEEE 28th Photovoltaic Spec. Conf., Anchorage, AL, USA, 2000. [8] N. Femia, G. Petrone, G. Spagnuolo, and M. Vitelli, “A technique for improving P&O MPPT performances of double-stage grid-connected photovoltaic systems,” IEEE Trans. Ind. Electron., vol. 56, no. 11, pp. 4473–4482, Nov. 2009. [9] E. 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