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International Journal of Scientific Research and Management Studies (IJSRMS)
ISSN: 2349-3771 Volume 1 Issue 1, pg: 1-6
http://www.ijsrms.com ©IJSRMS pg. 1
SOLAR PANEL CONTROL USING SLIDING MODE
Akshata Upare, Priyanka Kumbhar, Jaydeep Patel, Pawan Chilka, S.L.Chavan
Department of Electronics & Telecommunications, Rajarshi Shahu College of Engineering
Affiliated to University of Pune, Pune, Maharashtra, India
ABSTRACT
In this paper, a new sliding mode controller is proposed as the indirect control method and compared to a
simple direct control method in order to control a buck converter in photovoltaic applications. The solar arrays
are dependent power sources with nonlinear voltage-current characteristics under different environmental
conditions. From this point of view, the DC/DC converter is particularly suitable for the application of the
sliding mode control in photovoltaic application, because of its controllable states. Solar tracking allows more
energy to be produced because the solar array is able to remain aligned to the sun. This method has the
advantage that it will guarantee the maximum output power possible by the array configuration. Problems and
possible improvements will also be presented.
KEYWORDS— PV Model, Sliding Mode Controller, Buck Converter, LDR comparison, Maximum Power
Point Tracker.
I. INTRODUCTION
In remote areas the sun is a cheap source of electricity because instead of hydraulic generators it uses
solar cells to produce electricity. While the output of solar cells depends on the intensity of sunlight
and the angle of incidence. It means to get maximum efficiency; the solar panels must remain in front
of sun during the whole day. But due to rotation of earth those panels can’t maintain their position
always in front of sun. This problem results in decrease of their efficiency. Thus to get a constant
output, an automated system is required which should be capable to constantly rotate the solar panel.
The SLIDING MODE CONTROL (SMC) was made as a prototype to solve the problem, mentioned
above. It is completely automatic and keeps the panel in front of sun until that is visible. “The unique
feature of this system is that instead of taking the earth as its reference, it takes the sun as a guiding
source. Its active sensors constantly monitor the sunlight and rotate the panel towards the direction
where the intensity of sunlight is maximum.”
The rest of the paper is organized as follows: Section II explains the proposed system. Section III
describes the analysis of system. Section IV explains the pertaining theory required for lucid
understanding of the proposed system. Section V concludes the work with results and also throws a
light towards the future work.
II. PROPOSED SYSTEM
Our proposed system for solar panel control using sliding mode is represented by the block diagram
shown in Fig. 1.
The various stages of operation in our system are:
International Journal of Scientific Research and Management Studies (IJSRMS)
ISSN: 2349-3771 Volume 1 Issue 1, pg: 1-6
http://www.ijsrms.com ©IJSRMS pg. 2
Figure 1. Block Diagram of the Proposed System
III. SYSTEM ANALYSIS
IV. THEORETICAL BACKGROUND
A. PV Model
This system use a PV system composed of N in series cells and P in parallel cells. It is connected to a
converter in order to increase or decrease the desired voltage. After that, is connected directly to the
load. The switching frequency is controlled by a sliding mode controller.
In the past, there have been different types of models to estimate the non linear equations of the
photovoltaic module. Models like Anderson’s, Blesser and the most common the one diode model.
All these models present a good approach into estimating the solar cell voltage and currents but most
Buck
Converter
(PWM)
Battery
Slide Mode
Controller
International Journal of Scientific Research and Management Studies (IJSRMS)
ISSN: 2349-3771 Volume 1 Issue 1, pg: 1-6
http://www.ijsrms.com ©IJSRMS pg. 3
of them need too much computational power or need information not available in the manufacturer’s
sheet. A more suitable equation will be used where all the information needed can be found in the
manufacturer’s sheet. The PVM model is the following four equations.
The first two equations (1) and (2) describe the relationship of the current and power with respect to
the voltage. The PVM model takes into consideration temperature, T, and effective irradiance, Ei,
over the PVM and the Standard Test Conditions, STC, i.e. TN is 25o
C and EiN is 1000 W/m2. The
manufacturer data sheet will provide the temperature constant for the voltage, TCV, the temperature
constant for the current, TCi, the open circuit voltage under STC, Voc, short circuit current under
STC, Isc, and the PVM characteristic constant, b. Also, most of the manufacturers will provide the
open circuit voltage, Vmax, when Ei is more than 1200 W/m2 and T is 25 o C and the open circuit
voltage, Vmin, when Ei is less than 200 W/m2 and T is 25 o C[1] Vmax is approximately 1.03.Voc and
Vmin is approximately 0.85.Voc.This model considers the useful data given by the manufacturer while
no additional parameters are required, i.e. thermal voltage, diode reverse saturation current, band gap
for the material, etc. Also, the PVM model is continuous and differentiable with respect to the
voltage. The open circuit voltage at any T or Ei, Vx is given by (3) and is calculated when the current
of operation is zero. Ix, the short circuit current at any T or Ei, is calculated when the voltage of
operation is zero and is given by (4).
B. Sliding Mode Controller Surface
A sliding mode controller is a variable structure control where the dynamics of a non linear system is
altered via the application of a high frequency switching control. In sliding mode control, the
trajectories of the system are forced to reach a sliding manifold of surface, where it exhibit desirable
features, in finite time and to stay on the manifold for all future time. It is achieved by suitable control
strategy. To apply sliding mode control we have to know if the system can reach the sliding manifold.
Once the systems reach the sliding manifold, the controller has to force the system to stay in the
manifold for all future time. To design the sliding mode controller we have to select the desired
surface. We want to obtain the maximum power that can be extracted from the PV module at the
given factors. A typical P-V curve for a PVM is given by Fig. 2.
A sliding mode controller is a variable structure control where the dynamics of a non linear system is
altered via the application of a high frequency switching control. In sliding mode control, the
trajectories of the system are forced to reach a sliding manifold of surface, where it exhibit desirable
features, in finite time and to stay on the manifold for all future time.
International Journal of Scientific Research and Management Studies (IJSRMS)
ISSN: 2349-3771 Volume 1 Issue 1, pg: 1-6
http://www.ijsrms.com ©IJSRMS pg. 4
Figure 2.Power vs. Voltage
Clearly, Fig. 2 shows that the maximum power occurs at a given optimal voltage, Vop, which it
smaller that the open circuit voltage, Vx. If we derivate the power with respect to the voltage we
obtain the following equation [1]:
(5)
At the knee of the P-V curve is the maximum power of the PVM. Also at the knee, the derivative of
power with respect to voltage is zero. Solving (5) for V we obtain the optimal voltage, Vop.
Unfortunately, (5) is a transcendental function that cannot be solve for V. To solve this problem the
Linear Reoriented Coordinates Method will be used to approximate the optimal value for the voltage
to obtain the maximum power as given by (6).
Vop = Vx + Vx*b* ln( b – b*exp(-1/b)) (6)
Where Vx is the open circuit voltage, b is the characteristic constant for the PVM. To obtain the
optimal current, Iop, (6) is substituted by (1). Finally, knowing that we can formulate our sliding
manifold as the following:
S=1/2 -1/2sign (Vop-V) (7)
C. Buck Converter
The buck-converter is similar for both the AT90S4433 and the ATtiny15. They consist of one P-
channel MOSFET switching transistor driven by the AVR via one bipolar NPN transistor. The
switching transistor is connected to an inductor, a diode and a capacitor (see Figure 3). An additional
diode prevents the battery from supplying voltage into the microcontroller when the power is
disconnected. When the switching transistor is on (illustrated by a switch on the figures below) the
current will flow like Figure 3(A) illustrates. The capacitor is charged from the input via the inductor
(the inductor is also charged up). When the switch is opened (Figure 3(B)), the inductor will try to
maintain its current-flow by inducing a voltage. The current flows through the diode and the inductor
will charge the capacitor. Then the cycle repeats itself. If the duty cycle is decreased, by shorter on
time, longer off time, the voltage will decrease. If the duty cycle is increased (longer on timer, shorter
off time), the voltage will increase. The buck-converter is most efficient running on a duty cycle of
50%.
Figure 3. Buck Converter Switching Principle
International Journal of Scientific Research and Management Studies (IJSRMS)
ISSN: 2349-3771 Volume 1 Issue 1, pg: 1-6
http://www.ijsrms.com ©IJSRMS pg. 5
V. CONCLUSION AND FUTURE SCOPE
The proposed algorithm uses a non-inverting Buck converter in order to easily change the operation
mode of the converter that can be necessary if the optimal voltage of the PV module is lower than the
battery voltage. The proposed algorithm is capable of calculating the optimal voltage with little error.
The proposed controller only requires the array output voltage and the optimal voltage which is
continuously computed.
From the simulation results is evident that a maximum power is tracked and achieved by the proposed
sliding mode controller under constant and varying ambient temperature and solar irradiance and
delivered, with the losses in the converter, to the battery increasing the current that is charging the
battery which, eventually, will reduce the charging time.
Solar power improves energy efficiency and is therefore very beneficial for Third World countries.
Solar power electricity reduces the costs of conventional power for built up cities, and is cheaper for
industrial and commercial purposes
to run their operations. This leaves the use of PV systems to generate power for most of the
developing world's population in rural areas.
1. RTC Based:-Interfacing RTC will automate the project. The street lights will turn ON at the
specified time set in it.
2. All DC operating device can run on solar power.
This project will be beneficial in:-
1.Conserving Non Renewable Energy Resources.
2.Reduction of Energy usage.
3.Perfect for supplying power to remote radio and communication posts and water pumps.
4.Perform well as mounts for residential PV system.
ACKNOWLEDGMENT
We would like to thank the support centre of MathworksInc and all its bloggers for their prompt
support to answer our questions and doubts unconditionally. We would also like to thank our teacher
and guide Prof. Mr S. L. Chavan for his continuous help regarding our paper. Furthermore, we also
thank the IEEE associates for providing a large collection of papers based on image processing, which
were of great help in studying, analysing and selecting the right path towards our goal in the project.
REFERENCES
[1]. A.M. Sharaf, Liang Yang, ‘An efficient Photovoltaic DC Village Electricity Scheme Using a Sliding
Mode Controller’, IEEE Conference on Control Applications, 2005, pp 1325-1330.
[2]. Midya, P., Kerin, P. T., Turnbull, R. J., Reppa, R. And Kimball, J., “Dynamic Maximum Power Point
Tracker for Photovoltaic Applications,” Proceedings of the IEEE Power Electronics Specialists
Conference, PESC, Vol. 2, pp. 1710-1716 (1996).
[3]. Koutroulis, E. And Voulgaris N. C., “Development of a Microcontroller-based photovoltaic Maximum
power point tracking control system”, IEEE Transactions on Power Electronic, Vol. 16, No. 1, January
2001.
[4]. Song Kim, ‘Robust Maximum power point tracker using sliding mode controller for the three-phase
grid-connected photovoltaic system’. Solar Energy 81(2007) pag 415-414.
[5]. 1.HanifiGuldemir, ‘Sliding Mode Control of DC/DC Boost Converter’, Journal of Applied Sciences
5(3), ISSN 1812-5654.
[6]. Sobczuk, Dariusz; Malinowski, Mariusz; IECON 2006 - 32nd
Annual Conference on IEEE Industrial
Electronics, Feedback Linearization Control of Inverter Fed Induction Motor – with Sliding Mode
Speed and Flux Observers Nov. 2006 Page(s):1299
[7]. Wai, R.-J.; Wang, W.-H.; Lin, C.-Y.;High-Performance Stand-Alone Photovoltaic Generation System
IEEE Transactions on Industrial Electronics, Volume 55, Issue 1, Jan. 2008 Page(s):240 – 250
[8]. Trishan Esram, Jonathan W. Kimball, PhilipT. Krein,PatrickL.Chapman , and Pallab Midya ,“Dynamic
Maximum Power Point Tracking of Photovoltaic Arrays Using Ripple Correlation Control” IEEE
TRANSL , On Power Electronics, Vol.21,No.5,September 2006.
International Journal of Scientific Research and Management Studies (IJSRMS)
ISSN: 2349-3771 Volume 1 Issue 1, pg: 1-6
http://www.ijsrms.com ©IJSRMS pg. 6
[9]. Simple Photovoltaic Solar Cell Dynamic Sliding Mode Controlled Maximum Power Point Tracker for
Battery Charging Applications “Emil A. Jimenez Brea, Eduardo I. Ortiz-Rivera, IEEE Member, Andres
Salazar-Llinas, Jesus Gonzalez-Llorente” (Electrical Engineering Department).IEEE Transaction on
Power Electronics, VOL.NO.978-1-4244-4783-1,pp.666-671
[10]. A.Rhif, “Stabilizing Sliding Mode Control Design and Application for a DC Motor: Speed Control”,
International Journal of Instrumentation and Control Systems, Vol.2, pp.25-33, 2012.
[11]. Hammoud Saari, Bernard Caron, Mohamed Tadjine,” On the Design of Discrete Time Repetitive
Controllers in Closed Loop Configuration”, AUTOMATIKA,vol. 51, pp.333-344, 2010.
[12]. A.Rhif, Z.Kardous, N.Ben Hadj Braiek, “A High Order Sliding Mode Observer: Torpedo Guidance
Application,” Journal of Engineering & Technology, vol. 2, pp. 13-18, 2012.
[13]. M.Flota, R Alvarez-Salas, H Miranda, E Cabal-Yepez, R J Romero-Troncoso, “Nonlinear
observerbased control for an active rectifier”, Journal of Scientific & Industrial Research, Vol.70, pp.
1017-1025, 2011.
[14]. N. Benhadj Braiek and F. Rotella, “State observer design for analytical nonlinear systems”, IEEE Syst.
Man and Cybernetics Conference, vol. 3, pp. 2045–2050, October 1994.
[15]. Y. Yorozu, M. Hirano, K. Oka, and Y. Tagawa, “Electron spectroscopy studies on magneto-optical
media and plastic substrate interface,” IEEE Transl. J. Magn. Japan, vol. 2, pp. 740-741, August 1987
[Digests 9th Annual Conf. Magnetics Japan, p. 301, 1982].

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Sliding Mode Control of Solar Panels Using a Buck Converter

  • 1. International Journal of Scientific Research and Management Studies (IJSRMS) ISSN: 2349-3771 Volume 1 Issue 1, pg: 1-6 http://www.ijsrms.com ©IJSRMS pg. 1 SOLAR PANEL CONTROL USING SLIDING MODE Akshata Upare, Priyanka Kumbhar, Jaydeep Patel, Pawan Chilka, S.L.Chavan Department of Electronics & Telecommunications, Rajarshi Shahu College of Engineering Affiliated to University of Pune, Pune, Maharashtra, India ABSTRACT In this paper, a new sliding mode controller is proposed as the indirect control method and compared to a simple direct control method in order to control a buck converter in photovoltaic applications. The solar arrays are dependent power sources with nonlinear voltage-current characteristics under different environmental conditions. From this point of view, the DC/DC converter is particularly suitable for the application of the sliding mode control in photovoltaic application, because of its controllable states. Solar tracking allows more energy to be produced because the solar array is able to remain aligned to the sun. This method has the advantage that it will guarantee the maximum output power possible by the array configuration. Problems and possible improvements will also be presented. KEYWORDS— PV Model, Sliding Mode Controller, Buck Converter, LDR comparison, Maximum Power Point Tracker. I. INTRODUCTION In remote areas the sun is a cheap source of electricity because instead of hydraulic generators it uses solar cells to produce electricity. While the output of solar cells depends on the intensity of sunlight and the angle of incidence. It means to get maximum efficiency; the solar panels must remain in front of sun during the whole day. But due to rotation of earth those panels can’t maintain their position always in front of sun. This problem results in decrease of their efficiency. Thus to get a constant output, an automated system is required which should be capable to constantly rotate the solar panel. The SLIDING MODE CONTROL (SMC) was made as a prototype to solve the problem, mentioned above. It is completely automatic and keeps the panel in front of sun until that is visible. “The unique feature of this system is that instead of taking the earth as its reference, it takes the sun as a guiding source. Its active sensors constantly monitor the sunlight and rotate the panel towards the direction where the intensity of sunlight is maximum.” The rest of the paper is organized as follows: Section II explains the proposed system. Section III describes the analysis of system. Section IV explains the pertaining theory required for lucid understanding of the proposed system. Section V concludes the work with results and also throws a light towards the future work. II. PROPOSED SYSTEM Our proposed system for solar panel control using sliding mode is represented by the block diagram shown in Fig. 1. The various stages of operation in our system are:
  • 2. International Journal of Scientific Research and Management Studies (IJSRMS) ISSN: 2349-3771 Volume 1 Issue 1, pg: 1-6 http://www.ijsrms.com ©IJSRMS pg. 2 Figure 1. Block Diagram of the Proposed System III. SYSTEM ANALYSIS IV. THEORETICAL BACKGROUND A. PV Model This system use a PV system composed of N in series cells and P in parallel cells. It is connected to a converter in order to increase or decrease the desired voltage. After that, is connected directly to the load. The switching frequency is controlled by a sliding mode controller. In the past, there have been different types of models to estimate the non linear equations of the photovoltaic module. Models like Anderson’s, Blesser and the most common the one diode model. All these models present a good approach into estimating the solar cell voltage and currents but most Buck Converter (PWM) Battery Slide Mode Controller
  • 3. International Journal of Scientific Research and Management Studies (IJSRMS) ISSN: 2349-3771 Volume 1 Issue 1, pg: 1-6 http://www.ijsrms.com ©IJSRMS pg. 3 of them need too much computational power or need information not available in the manufacturer’s sheet. A more suitable equation will be used where all the information needed can be found in the manufacturer’s sheet. The PVM model is the following four equations. The first two equations (1) and (2) describe the relationship of the current and power with respect to the voltage. The PVM model takes into consideration temperature, T, and effective irradiance, Ei, over the PVM and the Standard Test Conditions, STC, i.e. TN is 25o C and EiN is 1000 W/m2. The manufacturer data sheet will provide the temperature constant for the voltage, TCV, the temperature constant for the current, TCi, the open circuit voltage under STC, Voc, short circuit current under STC, Isc, and the PVM characteristic constant, b. Also, most of the manufacturers will provide the open circuit voltage, Vmax, when Ei is more than 1200 W/m2 and T is 25 o C and the open circuit voltage, Vmin, when Ei is less than 200 W/m2 and T is 25 o C[1] Vmax is approximately 1.03.Voc and Vmin is approximately 0.85.Voc.This model considers the useful data given by the manufacturer while no additional parameters are required, i.e. thermal voltage, diode reverse saturation current, band gap for the material, etc. Also, the PVM model is continuous and differentiable with respect to the voltage. The open circuit voltage at any T or Ei, Vx is given by (3) and is calculated when the current of operation is zero. Ix, the short circuit current at any T or Ei, is calculated when the voltage of operation is zero and is given by (4). B. Sliding Mode Controller Surface A sliding mode controller is a variable structure control where the dynamics of a non linear system is altered via the application of a high frequency switching control. In sliding mode control, the trajectories of the system are forced to reach a sliding manifold of surface, where it exhibit desirable features, in finite time and to stay on the manifold for all future time. It is achieved by suitable control strategy. To apply sliding mode control we have to know if the system can reach the sliding manifold. Once the systems reach the sliding manifold, the controller has to force the system to stay in the manifold for all future time. To design the sliding mode controller we have to select the desired surface. We want to obtain the maximum power that can be extracted from the PV module at the given factors. A typical P-V curve for a PVM is given by Fig. 2. A sliding mode controller is a variable structure control where the dynamics of a non linear system is altered via the application of a high frequency switching control. In sliding mode control, the trajectories of the system are forced to reach a sliding manifold of surface, where it exhibit desirable features, in finite time and to stay on the manifold for all future time.
  • 4. International Journal of Scientific Research and Management Studies (IJSRMS) ISSN: 2349-3771 Volume 1 Issue 1, pg: 1-6 http://www.ijsrms.com ©IJSRMS pg. 4 Figure 2.Power vs. Voltage Clearly, Fig. 2 shows that the maximum power occurs at a given optimal voltage, Vop, which it smaller that the open circuit voltage, Vx. If we derivate the power with respect to the voltage we obtain the following equation [1]: (5) At the knee of the P-V curve is the maximum power of the PVM. Also at the knee, the derivative of power with respect to voltage is zero. Solving (5) for V we obtain the optimal voltage, Vop. Unfortunately, (5) is a transcendental function that cannot be solve for V. To solve this problem the Linear Reoriented Coordinates Method will be used to approximate the optimal value for the voltage to obtain the maximum power as given by (6). Vop = Vx + Vx*b* ln( b – b*exp(-1/b)) (6) Where Vx is the open circuit voltage, b is the characteristic constant for the PVM. To obtain the optimal current, Iop, (6) is substituted by (1). Finally, knowing that we can formulate our sliding manifold as the following: S=1/2 -1/2sign (Vop-V) (7) C. Buck Converter The buck-converter is similar for both the AT90S4433 and the ATtiny15. They consist of one P- channel MOSFET switching transistor driven by the AVR via one bipolar NPN transistor. The switching transistor is connected to an inductor, a diode and a capacitor (see Figure 3). An additional diode prevents the battery from supplying voltage into the microcontroller when the power is disconnected. When the switching transistor is on (illustrated by a switch on the figures below) the current will flow like Figure 3(A) illustrates. The capacitor is charged from the input via the inductor (the inductor is also charged up). When the switch is opened (Figure 3(B)), the inductor will try to maintain its current-flow by inducing a voltage. The current flows through the diode and the inductor will charge the capacitor. Then the cycle repeats itself. If the duty cycle is decreased, by shorter on time, longer off time, the voltage will decrease. If the duty cycle is increased (longer on timer, shorter off time), the voltage will increase. The buck-converter is most efficient running on a duty cycle of 50%. Figure 3. Buck Converter Switching Principle
  • 5. International Journal of Scientific Research and Management Studies (IJSRMS) ISSN: 2349-3771 Volume 1 Issue 1, pg: 1-6 http://www.ijsrms.com ©IJSRMS pg. 5 V. CONCLUSION AND FUTURE SCOPE The proposed algorithm uses a non-inverting Buck converter in order to easily change the operation mode of the converter that can be necessary if the optimal voltage of the PV module is lower than the battery voltage. The proposed algorithm is capable of calculating the optimal voltage with little error. The proposed controller only requires the array output voltage and the optimal voltage which is continuously computed. From the simulation results is evident that a maximum power is tracked and achieved by the proposed sliding mode controller under constant and varying ambient temperature and solar irradiance and delivered, with the losses in the converter, to the battery increasing the current that is charging the battery which, eventually, will reduce the charging time. Solar power improves energy efficiency and is therefore very beneficial for Third World countries. Solar power electricity reduces the costs of conventional power for built up cities, and is cheaper for industrial and commercial purposes to run their operations. This leaves the use of PV systems to generate power for most of the developing world's population in rural areas. 1. RTC Based:-Interfacing RTC will automate the project. The street lights will turn ON at the specified time set in it. 2. All DC operating device can run on solar power. This project will be beneficial in:- 1.Conserving Non Renewable Energy Resources. 2.Reduction of Energy usage. 3.Perfect for supplying power to remote radio and communication posts and water pumps. 4.Perform well as mounts for residential PV system. ACKNOWLEDGMENT We would like to thank the support centre of MathworksInc and all its bloggers for their prompt support to answer our questions and doubts unconditionally. We would also like to thank our teacher and guide Prof. Mr S. L. Chavan for his continuous help regarding our paper. Furthermore, we also thank the IEEE associates for providing a large collection of papers based on image processing, which were of great help in studying, analysing and selecting the right path towards our goal in the project. REFERENCES [1]. A.M. Sharaf, Liang Yang, ‘An efficient Photovoltaic DC Village Electricity Scheme Using a Sliding Mode Controller’, IEEE Conference on Control Applications, 2005, pp 1325-1330. [2]. Midya, P., Kerin, P. T., Turnbull, R. J., Reppa, R. And Kimball, J., “Dynamic Maximum Power Point Tracker for Photovoltaic Applications,” Proceedings of the IEEE Power Electronics Specialists Conference, PESC, Vol. 2, pp. 1710-1716 (1996). [3]. Koutroulis, E. And Voulgaris N. C., “Development of a Microcontroller-based photovoltaic Maximum power point tracking control system”, IEEE Transactions on Power Electronic, Vol. 16, No. 1, January 2001. [4]. Song Kim, ‘Robust Maximum power point tracker using sliding mode controller for the three-phase grid-connected photovoltaic system’. Solar Energy 81(2007) pag 415-414. [5]. 1.HanifiGuldemir, ‘Sliding Mode Control of DC/DC Boost Converter’, Journal of Applied Sciences 5(3), ISSN 1812-5654. [6]. Sobczuk, Dariusz; Malinowski, Mariusz; IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics, Feedback Linearization Control of Inverter Fed Induction Motor – with Sliding Mode Speed and Flux Observers Nov. 2006 Page(s):1299 [7]. Wai, R.-J.; Wang, W.-H.; Lin, C.-Y.;High-Performance Stand-Alone Photovoltaic Generation System IEEE Transactions on Industrial Electronics, Volume 55, Issue 1, Jan. 2008 Page(s):240 – 250 [8]. Trishan Esram, Jonathan W. Kimball, PhilipT. Krein,PatrickL.Chapman , and Pallab Midya ,“Dynamic Maximum Power Point Tracking of Photovoltaic Arrays Using Ripple Correlation Control” IEEE TRANSL , On Power Electronics, Vol.21,No.5,September 2006.
  • 6. International Journal of Scientific Research and Management Studies (IJSRMS) ISSN: 2349-3771 Volume 1 Issue 1, pg: 1-6 http://www.ijsrms.com ©IJSRMS pg. 6 [9]. Simple Photovoltaic Solar Cell Dynamic Sliding Mode Controlled Maximum Power Point Tracker for Battery Charging Applications “Emil A. Jimenez Brea, Eduardo I. Ortiz-Rivera, IEEE Member, Andres Salazar-Llinas, Jesus Gonzalez-Llorente” (Electrical Engineering Department).IEEE Transaction on Power Electronics, VOL.NO.978-1-4244-4783-1,pp.666-671 [10]. A.Rhif, “Stabilizing Sliding Mode Control Design and Application for a DC Motor: Speed Control”, International Journal of Instrumentation and Control Systems, Vol.2, pp.25-33, 2012. [11]. Hammoud Saari, Bernard Caron, Mohamed Tadjine,” On the Design of Discrete Time Repetitive Controllers in Closed Loop Configuration”, AUTOMATIKA,vol. 51, pp.333-344, 2010. [12]. A.Rhif, Z.Kardous, N.Ben Hadj Braiek, “A High Order Sliding Mode Observer: Torpedo Guidance Application,” Journal of Engineering & Technology, vol. 2, pp. 13-18, 2012. [13]. M.Flota, R Alvarez-Salas, H Miranda, E Cabal-Yepez, R J Romero-Troncoso, “Nonlinear observerbased control for an active rectifier”, Journal of Scientific & Industrial Research, Vol.70, pp. 1017-1025, 2011. [14]. N. Benhadj Braiek and F. Rotella, “State observer design for analytical nonlinear systems”, IEEE Syst. Man and Cybernetics Conference, vol. 3, pp. 2045–2050, October 1994. [15]. Y. Yorozu, M. Hirano, K. Oka, and Y. Tagawa, “Electron spectroscopy studies on magneto-optical media and plastic substrate interface,” IEEE Transl. J. Magn. Japan, vol. 2, pp. 740-741, August 1987 [Digests 9th Annual Conf. Magnetics Japan, p. 301, 1982].