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International Journal of Modern Engineering Research (IJMER)
Vol. 3, Issue. 5, Sep - Oct. 2013 pp-2901-2907
ISSN: 2249-6645

Improving efficiency of Photovoltaic System with Neural Network
Based MPPT Connected To DC Shunt Motor
J. Nagarjuna Reddy, B M Manjunatha*, Mallikarjuna Matam**
Asst Professor, EEE Dept, RGMCET, Nandyal, AP, India.
*Asst Professor, EEE Dept, RGMCET, Nandyal, AP, India.
**Professor, EEE Dept, RYMES, Bellary, Karnataka, India.

ABSTRACT: A photovoltaic generator exhibits nonlinear voltage-current characteristics and its maximum power point
varies with solar radiation. A boost converter is used to match the photovoltaic system to the load of dc shunt motor and to
operate the pv cell array at maximum power point. This paper presents an application of a neural network for the
identification of the optimal operating point of pv module maximum power tracking control. The output power from the
modules depends on the environmental factors such as solar insolation, cell temperature, and so on. Therefore, accurate
identification of optimal operating point and continuous control of boost converter are required to achieve the maximum
output efficiency. The proposed neural network has a quite simple structure and provides a highly accurate identification of
the optimal operating point and also a highly accurate estimation of the maximum power from the PV modules. This model
is simulated in matlab/simulink and results are obtained.

Keywords: photovoltaic (PV) module, solar radiation, neural network, solar insolation maximum power point tracking
(mppt) , boost converter, maximum output efficiency

I.

INTRODUCTION

Recently, as the fossil fuel exhaustion and environmental pollution are aggravated, the concern of the development
of alternative energy systems, which are renewable and pollution free, has been increased continuously. Among them the
photovoltaic (PV) power generation systems standout as an important solution because they produce electric power without
inducing environmental pollution, by directly transforming solar irradiation into electricity. The main drawbacks of PV
systems are high fabrication cost and low energy-conversion efficiency, which are partly caused by their nonlinear and
temperature dependent V–I and P–I characteristics. To overcome these drawbacks, three essential approaches can be
followed:
1. Improving manufacturing processes of solar arrays: many research efforts have been performed with respect to
materials and manufacturing of PV arrays.
2. Controlling the insolation input to PV arrays: the input solar energy is maximized using sun-tracking solar collectors.
3. Utilization of output electric power of solar arrays: the main reasons for the low electrical efficiency are the nonlinear
variations of output voltage and current with solar radiation levels, operating temperature, and load current. To
overcome these problems, the maximum power operating point of the PV system (at a given condition) is tracked using
online or offline algorithms and the system operating point is forced toward this optimal condition.
Many MPPT techniques have been proposed, analyzed, and implemented. They can be categorized as:
A) Look-up table method -- The nonlinear and time-varying nature of pv cells and their great dependency on radiation and
temperature levels as well as degradation (aging, dirt) effects, make it difficult to record and store all possible system
conditions.
B) Perturbation and observation (P&O) method-- Measured cell characteristics (current, power) are employed along with
an online search algorithm to compute the corresponding maximum power point independent of insolation,
temperature, or degradation levels.
C) Computational method -- The nonlinear
V–I characteristics of PV panel is modeled using mathematical equations
or numerical approximations. Based on the modeled V–I characteristics, the corresponding maximum power points are
computed for different load conditions as a function of cell open-circuit voltages or cell short-circuit currents.
This paper presents an alternative method to identify the optimal operating point to achieve the maximum output
efficiency of the PV modules using a neural network. The input signals are solar irradiance and the cell temperature. The
Block diagram of the photovoltaic system with a neural network based maximum power point tracking is shown in Fig.1.

Figure 1. Block diagram of PV system
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International Journal of Modern Engineering Research (IJMER)
Vol. 3, Issue. 5, Sep - Oct. 2013 pp-2901-2907
ISSN: 2249-6645

II.

MODELING OF PHOTOVOLTAIC CELL

Fig.2 shows the typical equivalent circuit of PV-cell. The typical Ipv-Vpv output characteristics of PV-cell are represented as
following Eq. 1.

Figure.2 Equivalent model of photovoltaic cell

IPV = IL βˆ’ IO exp

VPV + IPV R S
βˆ’1 … 1
∝

Where,
IL =

𝐼 π‘œ = 𝐼 π‘‚π‘Ÿπ‘’π‘“

G
I
+ ΞΌIsc TC βˆ’ TCref
Gref Lref

𝑇 πΆπ‘Ÿπ‘’π‘“ + 273
𝑇 𝐢 + 273

3

𝑒π‘₯𝑝

… 2

𝑒 π‘”π‘Žπ‘ π‘ž
𝑇 πΆπ‘Ÿπ‘’π‘“ + 273
1βˆ’
𝑁 𝑠 ∝ π‘Ÿπ‘’π‘“
𝑇 𝐢 + 273

. (3)

IPV and VPV =Cell output current and voltage;
IL= Light-generated current; Io= Cell saturation current at T r; Tc = Cell
Temperature; Tref = 273K reference temperature; q = Charge of an electron;
Rs = Series Resistance; egap = Band gap of
the material; Ξ± = Thermal voltage timing completion factor; Β΅Isc = Temperature coefficient of the short-circuit current.
Fig.3 shows the typical Ipv-Vpv and P-Vpv output characteristic curve of PV-module for a particular irradiation and
cell temperature. In case the irradiation and temperature are varied, respectively from Fig. 3, we observe that the output
characteristics of PV-module are nonlinear and each curve only has one MPP. Additionally, the output current of PV module
is mainly affected by Solar irradiation variation, whereas the output voltage of PV-module is mainly affected by temperature
variation. Therefore, to efficiently use PV module, in case the atmospheric conditions are varied, the MPP tracking of PVmodule should be implemented.

Figure 3 Ipv-Vpv & P-Vpv characteristics of a PV cell

III.

THE NEURAL NETWORK BASED MAXIMUM POWER POINT TRACKING FOR PVSYSTEM

The block diagram for identifying the optimal operating point is shown in Fig.4.

Figure.4 Block Diagram for the identification of optimal operating point
The configuration of 3-layer feed-forward neural network is shown in Fig.5. The network has 3 layers with 3 neurons in
input, 4 neurons in hidden, and 1neuron in output layers [8].

Figure.5 Configuration of a Neural Network
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International Journal of Modern Engineering Research (IJMER)
www.ijmer.com
Vol. 3, Issue. 5, Sep - Oct. 2013 pp-2901-2907
ISSN: 2249-6645
The node in the input layer gets the input insolation, G and Cell temperature, Tc. These signals are directly passed to the
nodes in the hidden layer. The node in the output layer provides the identified maximum Imp. The nodes in the hidden layer
get signals from the input layer and send their output to the node in the output layer. For each node in the hidden and the
output layer, the output Oi(k) is given as follows:
1
𝑂𝑖 π‘˜ =
… 4
1 + 𝑒π‘₯𝑝 βˆ’πΌ 𝑖 π‘˜
Where the sigmoid function is utilized for the I/P-O/P characteristics of the nodes. The term Ii(k) is the input signal given to
the node I at the Kth sampling. The input Ii(k) is given by the weighted sum from the previous nodes as follows:

𝐼𝑖 π‘˜ =

π‘Šπ‘–π‘— π‘˜ 𝑂𝑗 π‘˜ … 5
𝑗

Figure.6: Error back propagation training algorithm flowchart
.In the training process, we need a set of I/P-O/P patterns for the neural network as shown later. All the
computations are performed off-line during the training process. With the training patterns, the connection weights W ij
recursively until the best fit is achieved for the I/P-O/P patterns in the training data. A commonly used approach is the
generalized delta rule, where the sum of the squared error described below is minimized during the training process.
𝑁

𝐸=

𝑇 π‘˜ βˆ’ 𝑂 π‘˜

2

… 6

π‘˜=1

Where N is the total number of training patterns. T(k) is the target output from the output node and O(k) is the computed
one. Fig.6 illustrates the flowchart of the error back-propagation training algorithm for a basic two-layer network as shown
in Fig.5.

IV.

STATE SPACE MODEL OF BOOST CONVERTER

PV cells have relatively low conversion efficiency and the improvement of overall system efficiency is an important factor in
the area of PV systems. This can be partly achieved by using high efficiency intermediate converters. In this paper, a boost
converter coupled with PV array is presented.

Figure.7 Circuit Diagram for Boost Converter
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2903 | Page
International Journal of Modern Engineering Research (IJMER)
www.ijmer.com
Vol. 3, Issue. 5, Sep - Oct. 2013 pp-2901-2907
ISSN: 2249-6645
A state space averaging technique is used to develop linear state space models for dc-dc boost converter. The average state
space model for the boost dc/dc converter can then be obtained as follows:
𝑑𝑖 𝐿
1βˆ’ 𝐷
1
0
βˆ’
𝑖𝐿
𝑑𝑑 =
𝐿
+ 𝐿
𝑉𝑐
𝑑𝑣 𝑐
1βˆ’ 𝐷
1
0
βˆ’
𝑑𝑑
𝐢
𝑅𝐢
𝑖
π‘‰π‘œ = 0 1 𝐿 … 8
𝑉

𝑣𝑐 … 7

𝑐

Where D = Duty ratio of the switch
V. MOTOR MODEL
The schematic diagram of a dc shunt motor is illustrated in fig.8. The fundamental equations
shunt dc motor are
as follows:

governing the operation of the

Figure.8 schematic diagram of dc shunt motor
𝑉1 = 𝑉𝑓 = π‘‰π‘Ž = 𝐸 𝑐 + 𝐼 π‘Ž 𝑅 π‘Ž … . (9)
𝐼1 = 𝐼 π‘Ž + 𝐼 𝑓 … … (10)
𝐸 𝑐 = π‘˜βˆ…π‘› … (11)
Where, VDC= Terminal voltage; Vf = field voltage; Va= armature voltage; Ec= counter emf; k=design constant; Ξ¦= mutual
air-gap flux per pole; n=rotational speed, r /min; Ra= armature resistance; I1= line current; If= field current; Ia= armature
current

V.

SIMULATION RESULTS

Based on the mathematical equations discussed before, a dynamic model for a PV module consisting of 153 cells in
series has been developed using matlab/Simulink. The input quantities
(solar irradiance G and the ambient
temperature Ta) are used to determine the characteristics of a PV module.
A.PV Model Performance
The model Ipv-Vpv characteristic curves under different irradiances are given in Fig.9 at 25 Β°C. It is noted from the
figure that the higher is the irradiance, the larger are the short-circuit current (Isc) and the open-circuit voltage (Voc).
Obviously, the larger will be the maximum power (P), shown in Fig.10.

Figure.9 Vpv-Ipv characteristics for constant Tc and Varying G

Figure 10.P-Vpv characteristics for constant Tc and Varying G
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International Journal of Modern Engineering Research (IJMER)
www.ijmer.com
Vol. 3, Issue. 5, Sep - Oct. 2013 pp-2901-2907
ISSN: 2249-6645
B. Training of a Neural Network
The training of a neural network consists of solar irradiance and cell temperature as the input patterns. The target
pattern is given by measured Imp for training the neural network. This calculated I mp values is given as a training data to the
neural network. Fig.12 shows the convergence of error during training process. During the training process, the convergence
error is taken as 0.01.

Figure.12 Training of a Neural Network
The training function used is TRAINGDX (Gradient descent w/momentum & adaptive linear backpropagation). The graphs
for the Imp of the neural network and the calculated values of the PV model are are combined to show the error between the
two:

Figure 13: Combined graph of Imp for both neural network and calculated
C. Optimal power point tracking for Boost converter And DC shunt motor
A Boost converter supplied by PV system has been shown in fig(1). Comprehensive simulation studies were made
to investigate the influence of a boost converter as an intermediate maximum power point tracker for the PV supplied
system. The PV array is simulated using a neural network as shown in figs. 4&7. As the studies mainly concentrate on
maximum power operation of the PV module, a simulated modeling was developed in the matlab environment, for the PV
supplied converter system employing the mathematical models developed in the preceding sections. The simulated dynamic
maximum power point tracking characteristics are shown in fig.14&15 . The converter parameters considered in this paper
are : L=0.06mH, C=0.4mF and R(equivalent load) =50Ξ©.

Figure.14 Simulated Dynamic characteristics of capacitor voltage to reach maximum power point
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International Journal of Modern Engineering Research (IJMER)
Vol. 3, Issue. 5, Sep - Oct. 2013 pp-2901-2907
ISSN: 2249-6645

Figure.15 Simulated Dynamic characteristics of inductor current to reach maximum power point
Using the control technique discussed in previous sections the simulated waveforms of the integrated dc shunt motor for
Torque and speed under no-load and load conditions are shown in fig.16 & fig.17.

Figure 16 Torque waveform with load of 50 N-m applied at t=5 sec

Figure 17 speed waveform with load applied at t=5 sec

VI.

CONCLUSION

A Neural network based MPPT algorithm has been developed in this paper for the boost converter supplied PV
system. The efficiency of the proposed neural network has been presented for identifying the optimal operating point for the
maximum power tracking control of the PV modules. Despite the small set of patterns utilized for the training of the neural
network, the network gives accurate predictions over a wide variety of operating modes. The accuracy is not degraded
following the seasonal variations of insolation and temperature.

REFERENCES
[1]
[2]
[3]
[4]
[5]
[6]
[7]
[8]
[9]

Oystein Ullberg, β€œStand Alone Power Systems For the future: Optimal Design, Operation & Control of Solar-Hydrogen Systems”,
Ph.D. Dissertation, Norweigan University of science and technology, Trondheim, 1998.
T.U.Townsend, ”A Method for estimating the Long-Term Performance of Direct-coupled Photovoltaic systems’, MS Thesis,
University of Wisconsin, Madison, 1989.
R.D Middle brook, ’Small-Signal modeling of pulse-width modulated switched-mode power converters’, Proceedings of the IEEE,
Vol. 76, No.4, pp.343-354, April 1988.
A.Kisiovski, R.Redl, and N.Sokal, ’Dynamic analysis of switching-mode DC/DC converters, New York: Van No strand Reinhold,
1994.
J.G.Kuschewski, ’Application of feed forward neural networks to dynamical system identification and control”, IEEE Trans.
contr.syst.Tech, vol1, no, 1, pp37-49, Mar1993.
W. Shireen and M. S. Arefeen, β€œAn utility interactive power electronics interface for alternate/renewable energy systems,” IEEE
Trans. EnergyConversion, vol. 11, no. 3, pp. 643–649, Sep. 1996.
M. Tsai and W. I. Tsai, β€œAnalysis and design of three-phase AC-to-DC converters with high power factor and near-optimum feed
forward,” IEEE Trans. Ind. Electron., vol. 46, no. 3, pp. 535–543, Jun. 1999.
IEEE Standard for Interconnecting Distributed Resources with Electric Power Systems, IEEE Standard 1547, 2003.
H W VD Broeck, HC Skudelny, G V Stanke, 1988, β€œAnalysis and realisation of a pulse width modulation based on voltage space
vector modulation”, IEEE Trans Ind, Aual ,24, 142-150

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2906 | Page
International Journal of Modern Engineering Research (IJMER)
www.ijmer.com
Vol. 3, Issue. 5, Sep - Oct. 2013 pp-2901-2907
ISSN: 2249-6645
J.Nagarjuna Reddy was born in 1985 in India. He received the B.Tech from Dr.Paul Raj Engg. College in
2005 and Post graduated from Jawaharlal Nehru Technological University (JNTU), Hyderabad, In 20062008. He is currently working as a assistant professor in the department of electrical and electronics
engineering in RGM college of engineering and technology, Nandyal, Andhra Pradesh, India. He has five
years of teaching experience. His main areas of research include Electrical Drives & Renewable energy
source.
B M Manjunath is born in 1981 in India. He is graduated from Visvwsvaraya Technological university in
2004 and Post graduated from JNTU In 2006-2008. He is currently working as a assistant professor in the
department of electrical and electronics engineering in RGM college of engineering and technology,
Nandyal, Andhra Pradesh, India. He has five years of teaching experience and one year of Industrial
experience. His main areas of research include Renewable Energy Sources, Induction motor drives &
control of special machine.
Sri Mallikarjuna Matam Basava is Working as Head of The Dept of EEE, RYM Engineering College, Bellary Since 2008
till date. He has 27 years of Experience in Teaching Electrical Engineering subjects and has presented Many papers. His
areas of Academic interests are Electrical Machines, Electromagnetic Fields and Networks.

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Improving efficiency of Photovoltaic System with Neural Network Based MPPT Connected To DC Shunt Motor

  • 1. www.ijmer.com International Journal of Modern Engineering Research (IJMER) Vol. 3, Issue. 5, Sep - Oct. 2013 pp-2901-2907 ISSN: 2249-6645 Improving efficiency of Photovoltaic System with Neural Network Based MPPT Connected To DC Shunt Motor J. Nagarjuna Reddy, B M Manjunatha*, Mallikarjuna Matam** Asst Professor, EEE Dept, RGMCET, Nandyal, AP, India. *Asst Professor, EEE Dept, RGMCET, Nandyal, AP, India. **Professor, EEE Dept, RYMES, Bellary, Karnataka, India. ABSTRACT: A photovoltaic generator exhibits nonlinear voltage-current characteristics and its maximum power point varies with solar radiation. A boost converter is used to match the photovoltaic system to the load of dc shunt motor and to operate the pv cell array at maximum power point. This paper presents an application of a neural network for the identification of the optimal operating point of pv module maximum power tracking control. The output power from the modules depends on the environmental factors such as solar insolation, cell temperature, and so on. Therefore, accurate identification of optimal operating point and continuous control of boost converter are required to achieve the maximum output efficiency. The proposed neural network has a quite simple structure and provides a highly accurate identification of the optimal operating point and also a highly accurate estimation of the maximum power from the PV modules. This model is simulated in matlab/simulink and results are obtained. Keywords: photovoltaic (PV) module, solar radiation, neural network, solar insolation maximum power point tracking (mppt) , boost converter, maximum output efficiency I. INTRODUCTION Recently, as the fossil fuel exhaustion and environmental pollution are aggravated, the concern of the development of alternative energy systems, which are renewable and pollution free, has been increased continuously. Among them the photovoltaic (PV) power generation systems standout as an important solution because they produce electric power without inducing environmental pollution, by directly transforming solar irradiation into electricity. The main drawbacks of PV systems are high fabrication cost and low energy-conversion efficiency, which are partly caused by their nonlinear and temperature dependent V–I and P–I characteristics. To overcome these drawbacks, three essential approaches can be followed: 1. Improving manufacturing processes of solar arrays: many research efforts have been performed with respect to materials and manufacturing of PV arrays. 2. Controlling the insolation input to PV arrays: the input solar energy is maximized using sun-tracking solar collectors. 3. Utilization of output electric power of solar arrays: the main reasons for the low electrical efficiency are the nonlinear variations of output voltage and current with solar radiation levels, operating temperature, and load current. To overcome these problems, the maximum power operating point of the PV system (at a given condition) is tracked using online or offline algorithms and the system operating point is forced toward this optimal condition. Many MPPT techniques have been proposed, analyzed, and implemented. They can be categorized as: A) Look-up table method -- The nonlinear and time-varying nature of pv cells and their great dependency on radiation and temperature levels as well as degradation (aging, dirt) effects, make it difficult to record and store all possible system conditions. B) Perturbation and observation (P&O) method-- Measured cell characteristics (current, power) are employed along with an online search algorithm to compute the corresponding maximum power point independent of insolation, temperature, or degradation levels. C) Computational method -- The nonlinear V–I characteristics of PV panel is modeled using mathematical equations or numerical approximations. Based on the modeled V–I characteristics, the corresponding maximum power points are computed for different load conditions as a function of cell open-circuit voltages or cell short-circuit currents. This paper presents an alternative method to identify the optimal operating point to achieve the maximum output efficiency of the PV modules using a neural network. The input signals are solar irradiance and the cell temperature. The Block diagram of the photovoltaic system with a neural network based maximum power point tracking is shown in Fig.1. Figure 1. Block diagram of PV system www.ijmer.com 2901 | Page
  • 2. www.ijmer.com International Journal of Modern Engineering Research (IJMER) Vol. 3, Issue. 5, Sep - Oct. 2013 pp-2901-2907 ISSN: 2249-6645 II. MODELING OF PHOTOVOLTAIC CELL Fig.2 shows the typical equivalent circuit of PV-cell. The typical Ipv-Vpv output characteristics of PV-cell are represented as following Eq. 1. Figure.2 Equivalent model of photovoltaic cell IPV = IL βˆ’ IO exp VPV + IPV R S βˆ’1 … 1 ∝ Where, IL = 𝐼 π‘œ = 𝐼 π‘‚π‘Ÿπ‘’π‘“ G I + ΞΌIsc TC βˆ’ TCref Gref Lref 𝑇 πΆπ‘Ÿπ‘’π‘“ + 273 𝑇 𝐢 + 273 3 𝑒π‘₯𝑝 … 2 𝑒 π‘”π‘Žπ‘ π‘ž 𝑇 πΆπ‘Ÿπ‘’π‘“ + 273 1βˆ’ 𝑁 𝑠 ∝ π‘Ÿπ‘’π‘“ 𝑇 𝐢 + 273 . (3) IPV and VPV =Cell output current and voltage; IL= Light-generated current; Io= Cell saturation current at T r; Tc = Cell Temperature; Tref = 273K reference temperature; q = Charge of an electron; Rs = Series Resistance; egap = Band gap of the material; Ξ± = Thermal voltage timing completion factor; Β΅Isc = Temperature coefficient of the short-circuit current. Fig.3 shows the typical Ipv-Vpv and P-Vpv output characteristic curve of PV-module for a particular irradiation and cell temperature. In case the irradiation and temperature are varied, respectively from Fig. 3, we observe that the output characteristics of PV-module are nonlinear and each curve only has one MPP. Additionally, the output current of PV module is mainly affected by Solar irradiation variation, whereas the output voltage of PV-module is mainly affected by temperature variation. Therefore, to efficiently use PV module, in case the atmospheric conditions are varied, the MPP tracking of PVmodule should be implemented. Figure 3 Ipv-Vpv & P-Vpv characteristics of a PV cell III. THE NEURAL NETWORK BASED MAXIMUM POWER POINT TRACKING FOR PVSYSTEM The block diagram for identifying the optimal operating point is shown in Fig.4. Figure.4 Block Diagram for the identification of optimal operating point The configuration of 3-layer feed-forward neural network is shown in Fig.5. The network has 3 layers with 3 neurons in input, 4 neurons in hidden, and 1neuron in output layers [8]. Figure.5 Configuration of a Neural Network www.ijmer.com 2902 | Page
  • 3. International Journal of Modern Engineering Research (IJMER) www.ijmer.com Vol. 3, Issue. 5, Sep - Oct. 2013 pp-2901-2907 ISSN: 2249-6645 The node in the input layer gets the input insolation, G and Cell temperature, Tc. These signals are directly passed to the nodes in the hidden layer. The node in the output layer provides the identified maximum Imp. The nodes in the hidden layer get signals from the input layer and send their output to the node in the output layer. For each node in the hidden and the output layer, the output Oi(k) is given as follows: 1 𝑂𝑖 π‘˜ = … 4 1 + 𝑒π‘₯𝑝 βˆ’πΌ 𝑖 π‘˜ Where the sigmoid function is utilized for the I/P-O/P characteristics of the nodes. The term Ii(k) is the input signal given to the node I at the Kth sampling. The input Ii(k) is given by the weighted sum from the previous nodes as follows: 𝐼𝑖 π‘˜ = π‘Šπ‘–π‘— π‘˜ 𝑂𝑗 π‘˜ … 5 𝑗 Figure.6: Error back propagation training algorithm flowchart .In the training process, we need a set of I/P-O/P patterns for the neural network as shown later. All the computations are performed off-line during the training process. With the training patterns, the connection weights W ij recursively until the best fit is achieved for the I/P-O/P patterns in the training data. A commonly used approach is the generalized delta rule, where the sum of the squared error described below is minimized during the training process. 𝑁 𝐸= 𝑇 π‘˜ βˆ’ 𝑂 π‘˜ 2 … 6 π‘˜=1 Where N is the total number of training patterns. T(k) is the target output from the output node and O(k) is the computed one. Fig.6 illustrates the flowchart of the error back-propagation training algorithm for a basic two-layer network as shown in Fig.5. IV. STATE SPACE MODEL OF BOOST CONVERTER PV cells have relatively low conversion efficiency and the improvement of overall system efficiency is an important factor in the area of PV systems. This can be partly achieved by using high efficiency intermediate converters. In this paper, a boost converter coupled with PV array is presented. Figure.7 Circuit Diagram for Boost Converter www.ijmer.com 2903 | Page
  • 4. International Journal of Modern Engineering Research (IJMER) www.ijmer.com Vol. 3, Issue. 5, Sep - Oct. 2013 pp-2901-2907 ISSN: 2249-6645 A state space averaging technique is used to develop linear state space models for dc-dc boost converter. The average state space model for the boost dc/dc converter can then be obtained as follows: 𝑑𝑖 𝐿 1βˆ’ 𝐷 1 0 βˆ’ 𝑖𝐿 𝑑𝑑 = 𝐿 + 𝐿 𝑉𝑐 𝑑𝑣 𝑐 1βˆ’ 𝐷 1 0 βˆ’ 𝑑𝑑 𝐢 𝑅𝐢 𝑖 π‘‰π‘œ = 0 1 𝐿 … 8 𝑉 𝑣𝑐 … 7 𝑐 Where D = Duty ratio of the switch V. MOTOR MODEL The schematic diagram of a dc shunt motor is illustrated in fig.8. The fundamental equations shunt dc motor are as follows: governing the operation of the Figure.8 schematic diagram of dc shunt motor 𝑉1 = 𝑉𝑓 = π‘‰π‘Ž = 𝐸 𝑐 + 𝐼 π‘Ž 𝑅 π‘Ž … . (9) 𝐼1 = 𝐼 π‘Ž + 𝐼 𝑓 … … (10) 𝐸 𝑐 = π‘˜βˆ…π‘› … (11) Where, VDC= Terminal voltage; Vf = field voltage; Va= armature voltage; Ec= counter emf; k=design constant; Ξ¦= mutual air-gap flux per pole; n=rotational speed, r /min; Ra= armature resistance; I1= line current; If= field current; Ia= armature current V. SIMULATION RESULTS Based on the mathematical equations discussed before, a dynamic model for a PV module consisting of 153 cells in series has been developed using matlab/Simulink. The input quantities (solar irradiance G and the ambient temperature Ta) are used to determine the characteristics of a PV module. A.PV Model Performance The model Ipv-Vpv characteristic curves under different irradiances are given in Fig.9 at 25 Β°C. It is noted from the figure that the higher is the irradiance, the larger are the short-circuit current (Isc) and the open-circuit voltage (Voc). Obviously, the larger will be the maximum power (P), shown in Fig.10. Figure.9 Vpv-Ipv characteristics for constant Tc and Varying G Figure 10.P-Vpv characteristics for constant Tc and Varying G www.ijmer.com 2904 | Page
  • 5. International Journal of Modern Engineering Research (IJMER) www.ijmer.com Vol. 3, Issue. 5, Sep - Oct. 2013 pp-2901-2907 ISSN: 2249-6645 B. Training of a Neural Network The training of a neural network consists of solar irradiance and cell temperature as the input patterns. The target pattern is given by measured Imp for training the neural network. This calculated I mp values is given as a training data to the neural network. Fig.12 shows the convergence of error during training process. During the training process, the convergence error is taken as 0.01. Figure.12 Training of a Neural Network The training function used is TRAINGDX (Gradient descent w/momentum & adaptive linear backpropagation). The graphs for the Imp of the neural network and the calculated values of the PV model are are combined to show the error between the two: Figure 13: Combined graph of Imp for both neural network and calculated C. Optimal power point tracking for Boost converter And DC shunt motor A Boost converter supplied by PV system has been shown in fig(1). Comprehensive simulation studies were made to investigate the influence of a boost converter as an intermediate maximum power point tracker for the PV supplied system. The PV array is simulated using a neural network as shown in figs. 4&7. As the studies mainly concentrate on maximum power operation of the PV module, a simulated modeling was developed in the matlab environment, for the PV supplied converter system employing the mathematical models developed in the preceding sections. The simulated dynamic maximum power point tracking characteristics are shown in fig.14&15 . The converter parameters considered in this paper are : L=0.06mH, C=0.4mF and R(equivalent load) =50Ξ©. Figure.14 Simulated Dynamic characteristics of capacitor voltage to reach maximum power point www.ijmer.com 2905 | Page
  • 6. www.ijmer.com International Journal of Modern Engineering Research (IJMER) Vol. 3, Issue. 5, Sep - Oct. 2013 pp-2901-2907 ISSN: 2249-6645 Figure.15 Simulated Dynamic characteristics of inductor current to reach maximum power point Using the control technique discussed in previous sections the simulated waveforms of the integrated dc shunt motor for Torque and speed under no-load and load conditions are shown in fig.16 & fig.17. Figure 16 Torque waveform with load of 50 N-m applied at t=5 sec Figure 17 speed waveform with load applied at t=5 sec VI. CONCLUSION A Neural network based MPPT algorithm has been developed in this paper for the boost converter supplied PV system. The efficiency of the proposed neural network has been presented for identifying the optimal operating point for the maximum power tracking control of the PV modules. Despite the small set of patterns utilized for the training of the neural network, the network gives accurate predictions over a wide variety of operating modes. The accuracy is not degraded following the seasonal variations of insolation and temperature. REFERENCES [1] [2] [3] [4] [5] [6] [7] [8] [9] Oystein Ullberg, β€œStand Alone Power Systems For the future: Optimal Design, Operation & Control of Solar-Hydrogen Systems”, Ph.D. Dissertation, Norweigan University of science and technology, Trondheim, 1998. T.U.Townsend, ”A Method for estimating the Long-Term Performance of Direct-coupled Photovoltaic systems’, MS Thesis, University of Wisconsin, Madison, 1989. R.D Middle brook, ’Small-Signal modeling of pulse-width modulated switched-mode power converters’, Proceedings of the IEEE, Vol. 76, No.4, pp.343-354, April 1988. A.Kisiovski, R.Redl, and N.Sokal, ’Dynamic analysis of switching-mode DC/DC converters, New York: Van No strand Reinhold, 1994. J.G.Kuschewski, ’Application of feed forward neural networks to dynamical system identification and control”, IEEE Trans. contr.syst.Tech, vol1, no, 1, pp37-49, Mar1993. W. Shireen and M. S. Arefeen, β€œAn utility interactive power electronics interface for alternate/renewable energy systems,” IEEE Trans. EnergyConversion, vol. 11, no. 3, pp. 643–649, Sep. 1996. M. Tsai and W. I. Tsai, β€œAnalysis and design of three-phase AC-to-DC converters with high power factor and near-optimum feed forward,” IEEE Trans. Ind. Electron., vol. 46, no. 3, pp. 535–543, Jun. 1999. IEEE Standard for Interconnecting Distributed Resources with Electric Power Systems, IEEE Standard 1547, 2003. H W VD Broeck, HC Skudelny, G V Stanke, 1988, β€œAnalysis and realisation of a pulse width modulation based on voltage space vector modulation”, IEEE Trans Ind, Aual ,24, 142-150 www.ijmer.com 2906 | Page
  • 7. International Journal of Modern Engineering Research (IJMER) www.ijmer.com Vol. 3, Issue. 5, Sep - Oct. 2013 pp-2901-2907 ISSN: 2249-6645 J.Nagarjuna Reddy was born in 1985 in India. He received the B.Tech from Dr.Paul Raj Engg. College in 2005 and Post graduated from Jawaharlal Nehru Technological University (JNTU), Hyderabad, In 20062008. He is currently working as a assistant professor in the department of electrical and electronics engineering in RGM college of engineering and technology, Nandyal, Andhra Pradesh, India. He has five years of teaching experience. His main areas of research include Electrical Drives & Renewable energy source. B M Manjunath is born in 1981 in India. He is graduated from Visvwsvaraya Technological university in 2004 and Post graduated from JNTU In 2006-2008. He is currently working as a assistant professor in the department of electrical and electronics engineering in RGM college of engineering and technology, Nandyal, Andhra Pradesh, India. He has five years of teaching experience and one year of Industrial experience. His main areas of research include Renewable Energy Sources, Induction motor drives & control of special machine. Sri Mallikarjuna Matam Basava is Working as Head of The Dept of EEE, RYM Engineering College, Bellary Since 2008 till date. He has 27 years of Experience in Teaching Electrical Engineering subjects and has presented Many papers. His areas of Academic interests are Electrical Machines, Electromagnetic Fields and Networks. www.ijmer.com 2907 | Page