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57 International Journal for Modern Trends in Science and Technology
Volume: 2 | Issue: 08 | August 2016 | ISSN: 2455-3778IJMTST
Modeling and Simulation of Cascaded
Multilevel Inverter fed PMSM Drive with PV
Stand-Alone Water Pumping System
S. Sireesha1
| T. Bhavani2
1PG Scholar, Department of Electrical & Electronics Engineering, Sarada Institute of Science
Technology & Management, Srikakulam (Dt), A.P, India.
2Associate Professor & Head, Department of Electrical & Electronics Engineering, Sarada Institute of
Science Technology & Management, Srikakulam (Dt), A.P, India.
In this paper is to present PV system directly coupled to water pumping system for such areas where no
facility for electricity. Solar PV system have, PV Module, non-isolated Boost converter, Sinusoidal Pulse
width modulation inverter and pumping system through PMSM drive. The system is controlled by PI
controller. DC-DC converter is controlled in order to extract the maximum power from Solar PV system. The
implementation of multilevel inverters improved the torque and speed response under various operating
conditions. PI controller is employed as speed controller and PWM technique is used to trigger switches of
multilevel inverter. PV water-pumping is highly competitive compared to traditional energy technologies and
best suited for remote site applications that have small to moderate power requirements. The proposed
system consists of solar PV panel, a boost converter, a three phase VSI (Voltage Source Inverter) and a PMSM
coupled with a centrifugal water pump. By using MATLAB/SIMULINK software.
KEYWORDS: DC to DC boost converter, multi level inverter; PMSM drive; photovoltaic; vector control; water
pumping system.
Copyright © 2016 International Journal for Modern Trends in Science and Technology
All rights reserved.
I. INTRODUCTION
Energy is necessary for economic and social
development of any country. Renewable or
non-conventional energy resources are the used
day by day due to increasing energy demand. Solar
PV system considered as most sustainable
resources among renewable sources [1]. PV used
for water pumping is playing an important role in
agriculture where short of electricity, this system
as a boon for farmer. The advantage of solar
energy, it is free of cost for whole life, but its initial
cost is high. Solar powered pump water volume
depends upon the amount of solar energy in that
time. The main advantage of solar powered water
pumping system are low maintenance, installation
easy, reliability and the matching power generated
and water usage needs[2]. PV module as a PV
energy generation, which output characteristics
depends upon the solar radiation and PV
temperature. PV System has the nonlinear
characteristics, so MPPT required for require for PV
system application. The output of the Solar PV
system is DC voltage but it is not suitable for load
so there is need of a converter, which converts the
DC voltage at desire DC value. So DC- DC Boost
converter is required. Converter fed to SPIM drive
to operate the Water pump. However, this system
suffers from increased motor cost and
maintenance problems due to the presence of a
commutator and brushes [3–5]. Hence, a pumping
system based on brushless motors represents an
attractive alternative due to its merits over DC
motors. Brushless permanent magnet DC motors
have been proposed [4]; however, this solution is
limited to only low-power PV systems. Several
studies have investigated AC systems using either
current source or voltage source inverters [1]. The
PV pumping system based on an induction motor
(IM) offers an alternative motor for more reliable
and maintenance-free systems. The main
advantages of IMs are reduced unit cost,
ruggedness, brushless rotor construction, and
ease of maintenance [1, 3, 6]. The permanent
ABSTRACT
58 International Journal for Modern Trends in Science and Technology
Modeling and Simulation of Cascaded Multilevel Inverter fed PMSM Drive with PV Stand-Alone Water
Pumping System
magnet synchronous motor (PMSM), also called the
brushless DC motor, coupled to a centrifugal pump
is found to be suitable for PV water pumping
systems [7, 8].
In recent years, the use of PMSM (Permanent
Magnet Synchronous Motors) are increased for
drives applications due to its high efficiency, large
torque to weight ratio, longer life and recent
development in permanent magnet technologies
[9]-[10]. It need power processor for effective
control. PMSM become a serious challenger of
induction motors in hybrid electric vehicle
applications. This paper presents a standalone
solar PV supplied PMSM drive for water pumping
system. Pumping water is a universal need for
agriculture and the use of PV panels is a natural
choice for such applications. In the proposed
system, duty cycle of boost converter is controlled
to maintain the DC link voltage at required level.
The speed of a PMSM drive is a function of solar
irradiation. Three phase VSI (Voltage Source
Inverter) is controlled to supply PMSM under
change in irradiation in vector oriented mode.
II. PHOTOVOLTAIC SYSTEM
The PV system considered in this paper contains
single PV array as shown in Fig. 1.In this paper a
PV model is considered. The modeling is attempted
by (1), where, IPV, VPV are the PV array current
and voltage respectively. Rsh and Rs are the
intrinsic shunt and series resistances of the array,
Isc is being the short circuit current of the array, G
is the solar irradiance (W/m2), q = 1.602 ×10−19 C
being the electron charge, Boltzman’s constant (K)
=1.3806 ×10−23 J/K, p-n junction’s ideality factor
(A) = 2 , T is array temperature (in 0K), I0 is diode
reverse saturation current, Tr is cell reference
temperature and Irr is reverse saturation current at
Tr.
Fig.1.PV system
III. SYSTEM CONFIGURATION AND PRINCIPLE OF
OPERATION
Fig.2. shows schematic diagram for the
stand-alone solar PV based PMSM drive for water
pumping system. The proposed system consists of
solar PV panel, a boost converter, a three phase VSI
(Voltage Source Inverter) and a PMSM coupled with
a centrifugal water pump. A PV or solar cell is the
basic building block of a PV system. An individual
PV cell is usually quite small, typically producing
about 1 or 2W of power. To increase the power
output of PV cells, these cells are connected in
series and parallel to assemble larger unit called PV
module. The PV array is connected to the DC to DC
boost converter to increase the output voltage level.
An IGBT (Insulated Gate Bipolar Transistor) based
VSI is used for DC to AC conversion and connected
to the PMSM drive. The constant DC voltage is
converted to the AC output using a VSI. Reference
speed of PMSM is a function of solar irradiation.
A. Design of PV based PMSM Drive
The design of a PV based PMSM drive consists of
PV array, a DC to DC converter, a DC link capacitor
and a VSI. Ratings of selected parameters are
given in Appendix. The designs of various
components of drive system are as follows,
Fig.2. Schematic diagram of standalone solar PV based
PMSM drive for water pumping system
B. Design of Boost Converter
The boost converter is used to feed the active
power from PV array to the DC link capacitor
connected VSI fed PMSM. The design parameters
of the boost converter are given as, The value of a
boost inductor L is given as,
Where D is duty cycle, Vpv is output voltage of PV
array, few is switching frequency, ∆i is ripple in
output current of PV array. Considering
59 International Journal for Modern Trends in Science and Technology
Volume: 2 | Issue: 08 | August 2016 | ISSN: 2455-3778IJMTST
Vpv=198.99V, ∆i=10% of PV current and fsw= 15
kHz, the value of L is obtained as 2.67 mH. The
maximum current through boost converter IGBTs
is obtained as 1.25 (ipp+ Ipv) where ipp is peak to
peak ripple current considering 10% ripple 25 A,
600 V IGBT is used for boost converter.
C. Voltage Source Inverter
The apparent power rating of a VSI is given as,
It is obtained as 1500 VA. The rms current through
a VSI is given as,
Where Vmis stator voltage of PMSM. The maximum
current through IGBTs is obtained as 1.25 (ipp+
IVSI). Considering 7.5% peak-peak ripple current,
25 A, 600 V IGBTs are used in a VSI.
D. Control Scheme
Fig.2 shows the comprehensive control scheme
for a standalone solar PV based PMSM drive. The
control scheme is discussed in two parts, i.e.
control of boost converter to maintain constant DC
link voltage and control of VSI in vector oriented
mode to achieve fast dynamic response under
change in solar irradiances and load conditions.
Basic Eq. Used in control algorithms are as
follows,
E. Control of Boost Converter
The DC bus voltage and the output of the DC PI
controller is used to estimate the DC voltage error
at the kth sampling instant is as,
Where Vdc and V*dcare sensed and reference DC
bus voltages respectively. The output of the DC PI
controller at the kth sampling instant is expressed
as
Where kpa and kia are the proportional and
integral gain constants of the PI controller. Vdce (k)
and Vdce (k-1) are the DC bus voltage errors in the
kth and (k-1)th sampling instant and I*pv (k) and
I*pv (k-1) are output of DC PI controller in the kth
and (k-1)th instant needed for voltage control. The
reference and actual PV bus current are used to
estimate the PV bus current error at the kth
sampling instant as,
The PV bus current error (Ipve) is amplified using
gain K and compared with fixed frequency carrier
signal to generate switching signals for IGBT used
in boost converter.
F. Control of VSI
For the VSI, a VOC (Vector Oriented Control)
scheme is used. Two Hall effect current sensors are
used to sense two phase motor currents ia , ib and
third phase source current ic is estimated
considering that instantaneous sum of three-phase
Currents is zero. Reference motor speed (ω*r) is the
function of solar irradiation and used to track the
maximum power. Irradiation sensor transducer
gives the output in the form of voltage signal which
is fed to the look up table. Reference speed is
compared with the measured rotor speed (ωr) and it
provided speed error ωe. The speed error at the kth
sampling instant is given as,
Speed error is processed using the speed PI
controller, which provide the reference
electromagnetic torque (T*ref). The reference torque
(T*ref) is used to generate reference axis current
(i*q) as follows,
Here kpa and kia are the proportional and
integral gain constants of the PI controller. ωe (k)
and ωe (k-1) are the speed errors in the kth and
(k-1)th sampling instant and i*q (k) and i*q (k-1) is
the output of speed PI controller in the kth and
(k-1)th instant needed for speed control. Similarly,
from the sensed rotor speed of the PMSM,
magnitude of d-axis PMSM current (i*d) is obtained
which is consider zero below rated speed.
For the estimation of three phase PMSM currents
the transformation angle (θre) is obtained as,
Where P is the number of poles of the PMSM.
Three-phase reference PMSM currents (i*a, i*b, i*c)
are obtained using i*d and i*q and the rotor
angular position in electrical rad/sec by inverse
park transformation. Three-phase reference
PMSM currents are as
60 International Journal for Modern Trends in Science and Technology
Modeling and Simulation of Cascaded Multilevel Inverter fed PMSM Drive with PV Stand-Alone Water
Pumping System
Three phase reference currents (i*a, i*b, i*c) are
compared with sensed PMSM currents (ia, ib, ic)
and resulting current errors are fed to the PWM
current controller for generating the switching
signals.
IV. MULTILEVEL INVERTER
The cascaded H-bridge multilevel Inverter uses
separate dc sources (SDCSs). The multilevel
inverter using cascaded-inverter with SDCSs
synthesizes a desired voltage from several
independent sources of dc voltages, which may be
obtained from batteries, fuel cells, or solar cells.
This configuration recently becomes very popular
in ac power supply and adjustable speed drive
applications. This new inverter can avoid extra
clamping diodes or voltage balancing capacitors.
Again, the cascaded multilevel inverters are
classified depending the type of DC sources used
throughout the input.
A single-phase structure of an m-level cascaded
inverter is each separate dc source (SDCS) is
connected to a single-phase full-bridge, or
H-bridge, inverter. Each inverter level can generate
three different voltage outputs, +Vdc, 0, and –Vdc by
connecting the dc source to the ac output by
different combinations of the four switches, S1, S2,
S3, and S4. To obtain +Vdc, switches S1 and S4 are
turned on, whereas –Vdc can be obtained by turning
on switches S2 and S3. By turning on S1 and S2 or S3
and S4, the output voltage is 0. The ac outputs of
each of the different full-bridge inverter levels are
connected in series such that the synthesized
voltage waveform is the sum of the inverter
outputs.
Fig.3.Single phase structures of Cascaded inverter (a)
3-level, (b) 5-level.
One more alternative for a multilevel inverter is
the cascaded multilevel inverter or series H-bridge
inverter. The series H-bridge inverter appeared in
1975. Cascaded multilevel inverter was not fully
realized until two researchers, Lai and Peng. They
patented it and presented its various advantages in
1997. Since then, the CMI has been utilized in a
wide range of applications. With its modularity and
flexibility, the CMI shows superiority in high-power
applications, especially shunt and series
connected FACTS controllers.
The CMI synthesizes its output nearly sinusoidal
voltage waveforms by combining many isolated
voltage levels. By adding more H-bridge converters,
the amount of Var can simply increased without
redesign the power stage, and build-in redundancy
against individual H-bridge converter failure can
be realized. A series of single-phase full bridges
makes up a phase for the inverter.
A three-phase CMI topology is essentially
composed of three identical phase legs of the
series-chain of H-bridge converters, which can
possibly generate different output voltage
waveforms and offers the potential for AC system
phase-balancing. This feature is impossible in
other VSC topologies utilizing a common DC link.
Since this topology consists of series power
conversion cells, the voltage and power level may
be easily scaled. The dc link supply for each full
bridge converter is provided separately, and this is
typically achieved using diode rectifiers fed from
isolated secondary windings of a three-phase
transformer. Phase-shifted transformers can
supply the cells in medium-voltage systems in
order to provide high power quality at the utility
connection.
V. MATLAB/SIMULINK RESULTS
Fig.4.Simulink Circuit for PMSM Drive with PV Cell
61 International Journal for Modern Trends in Science and Technology
Volume: 2 | Issue: 08 | August 2016 | ISSN: 2455-3778IJMTST
Fig.5. Simulation Results During Constant Solar Radiation
For (A) PV Cell Voltage, (B) PV Cell Current, (C) Stator
Currents Of Motor (D) Speed Of Motor (E) Torque (F) Dc Link
Voltage (G) Power.
Fig.6. Simulation Results During Change In Solar Radaition
For (A) PV Cell Voltage, (B) PV Cell Current, (C) Stator
Currents Of Motor (D) Speed Of Motor (E) Torque (F) Dc Link
Voltage (G) Power
Fig.7. Simulation Results During Motor Starting Condition
For (A) PV Cell Voltage, (B) PV Cell Current, (C) Stator
Currents Of Motor (D) Speed Of Motor (E) Torque (F) DC Link
Voltage (G) Power
Fig.8. Simulink Circuit for PMSM Drive with Multilevel
inverter
Fig.9.Simulation Results for (A) Stator Currents of Motor (B)
Speed of Motor (C) Torque (D) theta
VI. CONCLUSION
In this paper vector control has been described in
adequate detail and has been implemented on
62 International Journal for Modern Trends in Science and Technology
Modeling and Simulation of Cascaded Multilevel Inverter fed PMSM Drive with PV Stand-Alone Water
Pumping System
PMSM in combination with multilevel inverter with
three and five levels. This method enables the
operation of the drive at zero direct axis stator
current. The inverter comprising of SPWM, and
filter blocks delivers a sinusoidal ac waveform to
the PMSM drive. The motor needs much smaller
voltage compared to the conventional synchronous
motor. The performance of vector control is quite
satisfactory for achieving fast reversal of PMSM
even at very high speed ranges. The scheme can be
developed for any power requirement and
connecting more PV panels in series.
REFERENCES
[1] Betka, A., Perspectives for the Sake of Photovoltaic
Pumping Development in the South, Doctoral
Thesis, University of Banta, Algeria, 2005.
[2] Elgendy, M. A., Zahawi, B., and Atkinson, D. J.,
“Comparison of directly connected and constant
voltage controlled photovoltaic pumping systems,”
IEEE Trans. Sustain. Energy, Vol. 1, No. 3, pp.
184–192, October 2010.
[3] Raju, A. B., Ramesh Karnik, S., and Jyoti, R.,
“Maximum efficiency operation of a single stage
inverter fed induction motor PV water pumping
system,” First International Conference on Emerging
Trends in Engineering and Technology, pp. 905–910,
Nagur, India, 16–18 July 2008.
[4] Chandrasekaran, N., Ganeshprabu, G., and
Thyagarajah, K., “Comparative study of photovoltaic
pumping system using a DC motor and PMDC
motor,” International Conference on Advances in
Engineering, Science and Management (ICAESM),
pp. 192–132, Nagapattinam, India, March 2012.
[5] Malla, S. G., Bhende, C. N., and Mishra, S.,
“Photovoltaic based water pumping system,”
International Conference on Energy, Automation,
and Signal (ICEAS), pp. 1–4, Bhubaneswar, India,
30–31 March 2012.
[6] Corrêa, T. P., Seleme Jr., S. I., and Silva, S. R.,
“Efficiency optimization in stand-alone photovoltaic
pumping system,” Renew. Energy, Vol. 41, pp.
220–226, May 2012.
[7] Chenni, R., Zarour, L., Bouzid, A., and Kerbach, T.,
“Comparative study of photovoltaic pumping
systems using a permanent magnet synchronous
motor (PMSM) and an asynchronous motor (ASM),”
Rev. Energ. Ren., Vol. 9, pp. 17–28, 2006.
[8] Zarour, L., Chenni, R., Borni, A., and Bouzid, A.,
“Improvement of synchronous and asynchronous
motor drive systems supplied by photovoltaic arrays
with frequency control,” J. Elect.Eng., Vol. 59, No. 4,
pp. 169–177, 2008.
[9] P. Vas, Sensor less Vector and Direct Torque
Control, Oxford University Press, 1998.
[10]R. Krishnan, Permanent Magnet Synchronous and
Brushless DC Motor Drives, CRC Press, New York

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Modeling and Simulation of Cascaded Multilevel Inverter fed PMSM Drive with PV Stand-Alone Water Pumping System

  • 1. 57 International Journal for Modern Trends in Science and Technology Volume: 2 | Issue: 08 | August 2016 | ISSN: 2455-3778IJMTST Modeling and Simulation of Cascaded Multilevel Inverter fed PMSM Drive with PV Stand-Alone Water Pumping System S. Sireesha1 | T. Bhavani2 1PG Scholar, Department of Electrical & Electronics Engineering, Sarada Institute of Science Technology & Management, Srikakulam (Dt), A.P, India. 2Associate Professor & Head, Department of Electrical & Electronics Engineering, Sarada Institute of Science Technology & Management, Srikakulam (Dt), A.P, India. In this paper is to present PV system directly coupled to water pumping system for such areas where no facility for electricity. Solar PV system have, PV Module, non-isolated Boost converter, Sinusoidal Pulse width modulation inverter and pumping system through PMSM drive. The system is controlled by PI controller. DC-DC converter is controlled in order to extract the maximum power from Solar PV system. The implementation of multilevel inverters improved the torque and speed response under various operating conditions. PI controller is employed as speed controller and PWM technique is used to trigger switches of multilevel inverter. PV water-pumping is highly competitive compared to traditional energy technologies and best suited for remote site applications that have small to moderate power requirements. The proposed system consists of solar PV panel, a boost converter, a three phase VSI (Voltage Source Inverter) and a PMSM coupled with a centrifugal water pump. By using MATLAB/SIMULINK software. KEYWORDS: DC to DC boost converter, multi level inverter; PMSM drive; photovoltaic; vector control; water pumping system. Copyright © 2016 International Journal for Modern Trends in Science and Technology All rights reserved. I. INTRODUCTION Energy is necessary for economic and social development of any country. Renewable or non-conventional energy resources are the used day by day due to increasing energy demand. Solar PV system considered as most sustainable resources among renewable sources [1]. PV used for water pumping is playing an important role in agriculture where short of electricity, this system as a boon for farmer. The advantage of solar energy, it is free of cost for whole life, but its initial cost is high. Solar powered pump water volume depends upon the amount of solar energy in that time. The main advantage of solar powered water pumping system are low maintenance, installation easy, reliability and the matching power generated and water usage needs[2]. PV module as a PV energy generation, which output characteristics depends upon the solar radiation and PV temperature. PV System has the nonlinear characteristics, so MPPT required for require for PV system application. The output of the Solar PV system is DC voltage but it is not suitable for load so there is need of a converter, which converts the DC voltage at desire DC value. So DC- DC Boost converter is required. Converter fed to SPIM drive to operate the Water pump. However, this system suffers from increased motor cost and maintenance problems due to the presence of a commutator and brushes [3–5]. Hence, a pumping system based on brushless motors represents an attractive alternative due to its merits over DC motors. Brushless permanent magnet DC motors have been proposed [4]; however, this solution is limited to only low-power PV systems. Several studies have investigated AC systems using either current source or voltage source inverters [1]. The PV pumping system based on an induction motor (IM) offers an alternative motor for more reliable and maintenance-free systems. The main advantages of IMs are reduced unit cost, ruggedness, brushless rotor construction, and ease of maintenance [1, 3, 6]. The permanent ABSTRACT
  • 2. 58 International Journal for Modern Trends in Science and Technology Modeling and Simulation of Cascaded Multilevel Inverter fed PMSM Drive with PV Stand-Alone Water Pumping System magnet synchronous motor (PMSM), also called the brushless DC motor, coupled to a centrifugal pump is found to be suitable for PV water pumping systems [7, 8]. In recent years, the use of PMSM (Permanent Magnet Synchronous Motors) are increased for drives applications due to its high efficiency, large torque to weight ratio, longer life and recent development in permanent magnet technologies [9]-[10]. It need power processor for effective control. PMSM become a serious challenger of induction motors in hybrid electric vehicle applications. This paper presents a standalone solar PV supplied PMSM drive for water pumping system. Pumping water is a universal need for agriculture and the use of PV panels is a natural choice for such applications. In the proposed system, duty cycle of boost converter is controlled to maintain the DC link voltage at required level. The speed of a PMSM drive is a function of solar irradiation. Three phase VSI (Voltage Source Inverter) is controlled to supply PMSM under change in irradiation in vector oriented mode. II. PHOTOVOLTAIC SYSTEM The PV system considered in this paper contains single PV array as shown in Fig. 1.In this paper a PV model is considered. The modeling is attempted by (1), where, IPV, VPV are the PV array current and voltage respectively. Rsh and Rs are the intrinsic shunt and series resistances of the array, Isc is being the short circuit current of the array, G is the solar irradiance (W/m2), q = 1.602 ×10−19 C being the electron charge, Boltzman’s constant (K) =1.3806 ×10−23 J/K, p-n junction’s ideality factor (A) = 2 , T is array temperature (in 0K), I0 is diode reverse saturation current, Tr is cell reference temperature and Irr is reverse saturation current at Tr. Fig.1.PV system III. SYSTEM CONFIGURATION AND PRINCIPLE OF OPERATION Fig.2. shows schematic diagram for the stand-alone solar PV based PMSM drive for water pumping system. The proposed system consists of solar PV panel, a boost converter, a three phase VSI (Voltage Source Inverter) and a PMSM coupled with a centrifugal water pump. A PV or solar cell is the basic building block of a PV system. An individual PV cell is usually quite small, typically producing about 1 or 2W of power. To increase the power output of PV cells, these cells are connected in series and parallel to assemble larger unit called PV module. The PV array is connected to the DC to DC boost converter to increase the output voltage level. An IGBT (Insulated Gate Bipolar Transistor) based VSI is used for DC to AC conversion and connected to the PMSM drive. The constant DC voltage is converted to the AC output using a VSI. Reference speed of PMSM is a function of solar irradiation. A. Design of PV based PMSM Drive The design of a PV based PMSM drive consists of PV array, a DC to DC converter, a DC link capacitor and a VSI. Ratings of selected parameters are given in Appendix. The designs of various components of drive system are as follows, Fig.2. Schematic diagram of standalone solar PV based PMSM drive for water pumping system B. Design of Boost Converter The boost converter is used to feed the active power from PV array to the DC link capacitor connected VSI fed PMSM. The design parameters of the boost converter are given as, The value of a boost inductor L is given as, Where D is duty cycle, Vpv is output voltage of PV array, few is switching frequency, ∆i is ripple in output current of PV array. Considering
  • 3. 59 International Journal for Modern Trends in Science and Technology Volume: 2 | Issue: 08 | August 2016 | ISSN: 2455-3778IJMTST Vpv=198.99V, ∆i=10% of PV current and fsw= 15 kHz, the value of L is obtained as 2.67 mH. The maximum current through boost converter IGBTs is obtained as 1.25 (ipp+ Ipv) where ipp is peak to peak ripple current considering 10% ripple 25 A, 600 V IGBT is used for boost converter. C. Voltage Source Inverter The apparent power rating of a VSI is given as, It is obtained as 1500 VA. The rms current through a VSI is given as, Where Vmis stator voltage of PMSM. The maximum current through IGBTs is obtained as 1.25 (ipp+ IVSI). Considering 7.5% peak-peak ripple current, 25 A, 600 V IGBTs are used in a VSI. D. Control Scheme Fig.2 shows the comprehensive control scheme for a standalone solar PV based PMSM drive. The control scheme is discussed in two parts, i.e. control of boost converter to maintain constant DC link voltage and control of VSI in vector oriented mode to achieve fast dynamic response under change in solar irradiances and load conditions. Basic Eq. Used in control algorithms are as follows, E. Control of Boost Converter The DC bus voltage and the output of the DC PI controller is used to estimate the DC voltage error at the kth sampling instant is as, Where Vdc and V*dcare sensed and reference DC bus voltages respectively. The output of the DC PI controller at the kth sampling instant is expressed as Where kpa and kia are the proportional and integral gain constants of the PI controller. Vdce (k) and Vdce (k-1) are the DC bus voltage errors in the kth and (k-1)th sampling instant and I*pv (k) and I*pv (k-1) are output of DC PI controller in the kth and (k-1)th instant needed for voltage control. The reference and actual PV bus current are used to estimate the PV bus current error at the kth sampling instant as, The PV bus current error (Ipve) is amplified using gain K and compared with fixed frequency carrier signal to generate switching signals for IGBT used in boost converter. F. Control of VSI For the VSI, a VOC (Vector Oriented Control) scheme is used. Two Hall effect current sensors are used to sense two phase motor currents ia , ib and third phase source current ic is estimated considering that instantaneous sum of three-phase Currents is zero. Reference motor speed (ω*r) is the function of solar irradiation and used to track the maximum power. Irradiation sensor transducer gives the output in the form of voltage signal which is fed to the look up table. Reference speed is compared with the measured rotor speed (ωr) and it provided speed error ωe. The speed error at the kth sampling instant is given as, Speed error is processed using the speed PI controller, which provide the reference electromagnetic torque (T*ref). The reference torque (T*ref) is used to generate reference axis current (i*q) as follows, Here kpa and kia are the proportional and integral gain constants of the PI controller. ωe (k) and ωe (k-1) are the speed errors in the kth and (k-1)th sampling instant and i*q (k) and i*q (k-1) is the output of speed PI controller in the kth and (k-1)th instant needed for speed control. Similarly, from the sensed rotor speed of the PMSM, magnitude of d-axis PMSM current (i*d) is obtained which is consider zero below rated speed. For the estimation of three phase PMSM currents the transformation angle (θre) is obtained as, Where P is the number of poles of the PMSM. Three-phase reference PMSM currents (i*a, i*b, i*c) are obtained using i*d and i*q and the rotor angular position in electrical rad/sec by inverse park transformation. Three-phase reference PMSM currents are as
  • 4. 60 International Journal for Modern Trends in Science and Technology Modeling and Simulation of Cascaded Multilevel Inverter fed PMSM Drive with PV Stand-Alone Water Pumping System Three phase reference currents (i*a, i*b, i*c) are compared with sensed PMSM currents (ia, ib, ic) and resulting current errors are fed to the PWM current controller for generating the switching signals. IV. MULTILEVEL INVERTER The cascaded H-bridge multilevel Inverter uses separate dc sources (SDCSs). The multilevel inverter using cascaded-inverter with SDCSs synthesizes a desired voltage from several independent sources of dc voltages, which may be obtained from batteries, fuel cells, or solar cells. This configuration recently becomes very popular in ac power supply and adjustable speed drive applications. This new inverter can avoid extra clamping diodes or voltage balancing capacitors. Again, the cascaded multilevel inverters are classified depending the type of DC sources used throughout the input. A single-phase structure of an m-level cascaded inverter is each separate dc source (SDCS) is connected to a single-phase full-bridge, or H-bridge, inverter. Each inverter level can generate three different voltage outputs, +Vdc, 0, and –Vdc by connecting the dc source to the ac output by different combinations of the four switches, S1, S2, S3, and S4. To obtain +Vdc, switches S1 and S4 are turned on, whereas –Vdc can be obtained by turning on switches S2 and S3. By turning on S1 and S2 or S3 and S4, the output voltage is 0. The ac outputs of each of the different full-bridge inverter levels are connected in series such that the synthesized voltage waveform is the sum of the inverter outputs. Fig.3.Single phase structures of Cascaded inverter (a) 3-level, (b) 5-level. One more alternative for a multilevel inverter is the cascaded multilevel inverter or series H-bridge inverter. The series H-bridge inverter appeared in 1975. Cascaded multilevel inverter was not fully realized until two researchers, Lai and Peng. They patented it and presented its various advantages in 1997. Since then, the CMI has been utilized in a wide range of applications. With its modularity and flexibility, the CMI shows superiority in high-power applications, especially shunt and series connected FACTS controllers. The CMI synthesizes its output nearly sinusoidal voltage waveforms by combining many isolated voltage levels. By adding more H-bridge converters, the amount of Var can simply increased without redesign the power stage, and build-in redundancy against individual H-bridge converter failure can be realized. A series of single-phase full bridges makes up a phase for the inverter. A three-phase CMI topology is essentially composed of three identical phase legs of the series-chain of H-bridge converters, which can possibly generate different output voltage waveforms and offers the potential for AC system phase-balancing. This feature is impossible in other VSC topologies utilizing a common DC link. Since this topology consists of series power conversion cells, the voltage and power level may be easily scaled. The dc link supply for each full bridge converter is provided separately, and this is typically achieved using diode rectifiers fed from isolated secondary windings of a three-phase transformer. Phase-shifted transformers can supply the cells in medium-voltage systems in order to provide high power quality at the utility connection. V. MATLAB/SIMULINK RESULTS Fig.4.Simulink Circuit for PMSM Drive with PV Cell
  • 5. 61 International Journal for Modern Trends in Science and Technology Volume: 2 | Issue: 08 | August 2016 | ISSN: 2455-3778IJMTST Fig.5. Simulation Results During Constant Solar Radiation For (A) PV Cell Voltage, (B) PV Cell Current, (C) Stator Currents Of Motor (D) Speed Of Motor (E) Torque (F) Dc Link Voltage (G) Power. Fig.6. Simulation Results During Change In Solar Radaition For (A) PV Cell Voltage, (B) PV Cell Current, (C) Stator Currents Of Motor (D) Speed Of Motor (E) Torque (F) Dc Link Voltage (G) Power Fig.7. Simulation Results During Motor Starting Condition For (A) PV Cell Voltage, (B) PV Cell Current, (C) Stator Currents Of Motor (D) Speed Of Motor (E) Torque (F) DC Link Voltage (G) Power Fig.8. Simulink Circuit for PMSM Drive with Multilevel inverter Fig.9.Simulation Results for (A) Stator Currents of Motor (B) Speed of Motor (C) Torque (D) theta VI. CONCLUSION In this paper vector control has been described in adequate detail and has been implemented on
  • 6. 62 International Journal for Modern Trends in Science and Technology Modeling and Simulation of Cascaded Multilevel Inverter fed PMSM Drive with PV Stand-Alone Water Pumping System PMSM in combination with multilevel inverter with three and five levels. This method enables the operation of the drive at zero direct axis stator current. The inverter comprising of SPWM, and filter blocks delivers a sinusoidal ac waveform to the PMSM drive. The motor needs much smaller voltage compared to the conventional synchronous motor. The performance of vector control is quite satisfactory for achieving fast reversal of PMSM even at very high speed ranges. The scheme can be developed for any power requirement and connecting more PV panels in series. REFERENCES [1] Betka, A., Perspectives for the Sake of Photovoltaic Pumping Development in the South, Doctoral Thesis, University of Banta, Algeria, 2005. [2] Elgendy, M. A., Zahawi, B., and Atkinson, D. J., “Comparison of directly connected and constant voltage controlled photovoltaic pumping systems,” IEEE Trans. Sustain. Energy, Vol. 1, No. 3, pp. 184–192, October 2010. [3] Raju, A. B., Ramesh Karnik, S., and Jyoti, R., “Maximum efficiency operation of a single stage inverter fed induction motor PV water pumping system,” First International Conference on Emerging Trends in Engineering and Technology, pp. 905–910, Nagur, India, 16–18 July 2008. [4] Chandrasekaran, N., Ganeshprabu, G., and Thyagarajah, K., “Comparative study of photovoltaic pumping system using a DC motor and PMDC motor,” International Conference on Advances in Engineering, Science and Management (ICAESM), pp. 192–132, Nagapattinam, India, March 2012. [5] Malla, S. G., Bhende, C. N., and Mishra, S., “Photovoltaic based water pumping system,” International Conference on Energy, Automation, and Signal (ICEAS), pp. 1–4, Bhubaneswar, India, 30–31 March 2012. [6] Corrêa, T. P., Seleme Jr., S. I., and Silva, S. R., “Efficiency optimization in stand-alone photovoltaic pumping system,” Renew. Energy, Vol. 41, pp. 220–226, May 2012. [7] Chenni, R., Zarour, L., Bouzid, A., and Kerbach, T., “Comparative study of photovoltaic pumping systems using a permanent magnet synchronous motor (PMSM) and an asynchronous motor (ASM),” Rev. Energ. Ren., Vol. 9, pp. 17–28, 2006. [8] Zarour, L., Chenni, R., Borni, A., and Bouzid, A., “Improvement of synchronous and asynchronous motor drive systems supplied by photovoltaic arrays with frequency control,” J. Elect.Eng., Vol. 59, No. 4, pp. 169–177, 2008. [9] P. Vas, Sensor less Vector and Direct Torque Control, Oxford University Press, 1998. [10]R. Krishnan, Permanent Magnet Synchronous and Brushless DC Motor Drives, CRC Press, New York