SOLAR POWERED SPEED CONTROL OF BRUSHLESS ......standalone system, but also suits for hybrid...
Transcript of SOLAR POWERED SPEED CONTROL OF BRUSHLESS ......standalone system, but also suits for hybrid...
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International Journal of Mechanical Engineering and Technology (IJMET) Volume 8, Issue 8, August 2017, pp. 1135–1147, Article ID: IJMET_08_08_113
Available online at http://www.iaeme.com/IJMET/issues.asp?JType=IJMET&VType=8&IType=8
ISSN Print: 0976-6340 and ISSN Online: 0976-6359
© IAEME Publication Scopus Indexed
SOLAR POWERED SPEED CONTROL OF
BRUSHLESS DC MOTOR DRIVE USING PID
FUZZY CONTROLLER
K. Vishnu Murthy
Assistant Professor, Sri Krishna College of Technology, Coimbatore, TamilNadu, India
L. Ashok Kumar, N. Sampathraja
Professor, PSG College of Technology, Coimbatore, Tamil Nadu, India
Y. Dhayaneswaran
R&D Team Manager, Lakshmi Machine Works Limited, Coimbatore, TamilNadu, India
ABSTRACT
In this article, harvesting of renewable energy using artificial intelligence
embedded method analysis has been performed. Since the usage of solar becoming
more popular in recent times and attractive price competitions made viable energy
resources both commercial as well as domestic generation. By adopting artificial
intelligence based methods, the solar energy can be harvested at its maximum
potential. By having soft computing technique based input to the drive train
mechanism, the effective utilization of the solar energy has been performed. In this
paper, the solar energy is used to feed the Brushless DC motor which is operated
using four switch models instead of conventional six switches using PID fuzzy logic
controller to have better speed accuracy. The nerve centre of the PID Fuzzy controller
is to obtain better performance with regard to speed of the controller and to minimize
the computational load torque. In this method, without controlling the signals directly,
function of fuzzy system made to monitor a low level controller and the decision taken
by supervisor can be based on current control performance or operating conditions
depending on the control strategies. The MATLAB/Simulink results have been given
to understand the efficiency of the system and the obtained results from the simulation
shows reduction in using current sensor with better efficiency with minimized
computation load.
Keywords: Brushless DC Motor, PID, Fuzzy Controller, Inverter Drives, Artificial
Intelligence.
Cite this Article: K. Vishnu Murthy, L. Ashok Kumar, N. Sampathraja and
Y. Dhayaneswaran, Solar Powered Speed Control of Brushless DC Motor Drive using
PID Fuzzy Controller, International Journal of Mechanical Engineering and
Technology 8(8), 2017, pp. 1135–1147.
http://www.iaeme.com/IJMET/issues.asp?JType=IJMET&VType=8&IType=8
Solar Powered Speed Control of Brushless DC Motor Drive using PID Fuzzy Controller
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1. INTRODUCTION
Now a day’s machinery technologies have attained a high peak usage, efficiency and cost
analysis shoots up and it is of main concerns in the development of low-power motor drives
used in both industry as well as domestic purpose. The high usage of electrical systems
requires to control the losses to rectify the power wastages. Instead of going conventional
power sources, if the adopted technology is towards renewable energy, then it may be
extended to use its full potential and betterment of the society. Since solar radiation provides
most promising and everlasting gist of sources which we have, tapping its better output using
artificial intelligence may have best possible output from it. Based on the solar radiation,
analysing its sunshine, temperature, duration of sunshine, the solar radiation inherent
capabilities to use soft computing methods stands out to be good one of the various types of
methods Radial Basis Function [RBF], Neuro Fuzzy Inference System [ANFIS], and
Multilayer Perceptron MLP, ANFIS stands out to have better results compared to other
methods. Depending on the solar data predicted, ANFIS model may be incorporated to have
better foresee of solar radiation and with its predicted data, it can be used to find out the
efficiency of the PV output. Advent of soft computing techniques paved the way for using
neuro fuzzy model, which is newer techniques for predict the data with ease and convenience
even in an island of geographical location. This typical approach not only confined to
standalone system, but also suits for hybrid system.So, to achieve the maximum power output
at the PV panel or PV array, Maximum power point tracker (MPPT)[1][2] using soft
computing algorithm may be used to gain maximum efficiency at the PV output. MPPT is a
technique used to get maximum power output from PV system by matching the load
resistance and achieves maximum power. According to the field survey, most of the MPPT
algorithm let down in tracking the MPP, which results in reduced efficiency of operation. The
following Figure 1 shows the uniform/varying irradiation curve with respect to
Voltage/Current vs Power Graph and determining the MPP.
Figure 1 P-V and I-V curve of uniform irradiation condition
Figure 2 P-V and I-V curve of varying irradiation condition.
This solar output is then feed on to the Brushless DC motor drive which is controlled by
PID based fuzzy controller.[3][4] In the developed economy countries, almost 1/3rd is mostly
runs at fixed speed operation. If that’s the case, the flow rate is constant, then the throttling or
recirculation losses are often excessive and similar scenario in control of airflow by adjustable
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baffles in air-moving plant and in many other constant speed operations there is excessive loss
is been observed. Since the increasing use of Brushless DC motors in both domestic and
industry needs, because of reduced noise, low speed efficiency, long life time, pleasing weight
to power ratio.[5][6] In this drive mechanism, in this voltage control methods, initial current
flow is made such a way that, it should not flow too high on starting, so ultimately initial
surge current is eliminated and smooth pick of acceleration is maintained in the motor.
In conventional control of speed in Brushless DC motor, either normal voltage regulation
or sensor less control employed or PI/PID control is employed. Of all these methods, PI
controlled system causes steady state error and is less responsive to fast changing
environment. [1, 2] Normal PID system when used alone give poor performance to the set
point. So, by incorporating fuzzy login controllers in the same will give better response to the
closed loop control. Since fuzzy controllers don’t need exact model of the system, set of
linguistic may be used to derive the control strategy.[7] These rules may be derived from the
knowledge and properties of system. This interspersed model can be more capable of tackling
plants with parameter uncertainties than conventional controllers. Also the fuzzy controllers d
[38, 39]
2. SOFT COMPUTING TECHNIQUES FOR PV PANEL
Normally, while fixing the PV panel, two types of shade pattern are predominantly used in
GA algorithm. Since partial shading is main issues in solar system because of large number of
panel configured in series and parallel fashion. The panel reconfiguration is the area in which
soft computing techniques may be used for. Su do Ku and total cross tied (TCT) are the two
largely used configuration and with the help of Su do Ku, without the electrical connection
changed, it can reposition the location physically. Its shading pattern is shown below in Fig.3.
Genetic algorithm (GA) employed to array configuration without any shift in physical
connections by interchanging electrical connections to get high output from the panel
string.[5] GA can be applied with proper procreation of population and fitness design function
and shade pattern as shown in Fig. 4.
a) TCT Shade Pattern
b) Su do Ku Shade Pattern
Figure 3 Su Do Ku and TCT Shade pattern of PV Panel.
Solar Powered Speed Control of Brushless DC Motor Drive using PID Fuzzy Controller
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a) Block diagram of MMPT SOLAR PV
b) GA method Shade Pattern
Figure 4 TCT and SU DO Ku GA Employed Solar PV Configuration
The main task of GA can be defined by following functions
Max(F(i)) = Sum (T) + (Sq/Fq)+ (Sr × Fb) (1)
Where Sum (T) =
Fq =
In – Maximum possible current while bypassing and a – number sod patterns.
3. SOFT COMPUTING TECHNIQUES
With regard to MPPT algorithm, the two regular methods are Perturb and Observe Method
(PO) and Incremental Conductance Method(IC). PO algorithm changes periodically by
varying the voltage or current depending on the external condition and tract the power point.
IC is used to detect the direction of the MPP and small increment is added to find MPP. Both
this conventional MPPT have drawbacks such as steady oscillations, accuracy, convergence
etc. to overcome this problem, Soft computing based fuzzy logic controller is been used to get
better efficiency from MPPT tracker.
3.1. Fuzzy Logic Controller:
In fuzzy logic controllers, the measurement of the input signal is interpreted as a fuzzy
singleton and depending on the type of reasoning linguistic variables can be fuzzified in two
ways, 1. both the input and output linguistic variables will take fuzzy variables as values, 2.
the input linguistic variables are fuzzified as fuzzy variables, while the output linguistic
variables take fuzzy singletons as values. The fuzzification should cover the entire universe of
discourse, and there exists a fuzzy number to represent the fuzzy variable “around zero”. As
for a certain shape of a membership function, narrower membership functions, despite
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superiority in faster response and lower steady-state error, may incur larger oscillation, and
thus the system will be unstable especially in noisy environment
It is a set of membership function, is adequate to use empirical methods or knowledge to
determine the mathematical model of the system. It is based on I/O parameter. The formal
structure of controller is given in Figure.5.
Figure 5 Soft Computing Techniques Distribution.
Figure 6 Fuzzy Logic Block Diagram
Figure 7 General Fuzzy Membership Functions.
The voltage and current will be the input to fuzzy controller and duty cycle remains to be
output. Using this presumption, the FLC variable error and its change can be analyzed by
following equation. The membership function for islanding detection is seen in Figure.7. S is
assigned zero, NL around -1, PL to 1 and NM of –0.5 PM of +0.5
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Where C(t) and are error and change in error respectively. Once error is computed,
it is then changed to linguistic variables and fuzzy rule table based on the parameters. The one
case study fuzzy table can be created if error is NB and is as follows.
C(t)/∆C(t) NB Z PB
NB NB NB Z
Z NB Z PB
PB Z PB PB
Table 1 Fuzzy Rule Table:
4. CONVENTIONAL SPEED CONTROL OF BRUSHLESS DC MOTOR.
The demanded speed is achieved using the motor controller and it measures the speed of the
motor. Feedback system is good, but more complicated, and may not be required for a simple
robot design. Motors comes in different forms and the speed controller's motor drive output
will be different dependent on these forms [5]-[6].
Commutation assures appropriate rotation of Brushless DC motor, while the speed
depends on the magnitude of the applied voltage. The magnitude is adjusted by PWM
technique and the required speed is achieved by speed controller. The difference between the
actual and required speed is input to the PI controller and, based on this difference, the PI
controller controls the duty cycle of PWM pulses, which corresponds to the voltage amplitude
required to keep the required speed [7].
Figure 8 Conventional Closed Loop Speed control of Brushless DC Motor
The speed controller calculates a Proportional-Integral (PI) algorithm according to the
following equations:
(5)
Conventional six - switch inverter used in Brushless DC motor as illustrated in Fig 2. The
power stage applies in independent mode or complementary mode. In all the modes, three
phase power excites the 2 motor phases simultaneously and the 3rd one is unpowered. Hence,
6 credible voltage vectors are employed to Brushless DC motor [9] [10] using PWM
technique. Fig. 10 shows the configuration of a four-switch inverter for the three-phase
Brushless DC motor as shown in Fig. 10, 2 Capacitors neutrally are used, and other one c
phase is taken beyond the control because it is connected to the midpoint of capacitors. A
conventional PWM scheme for the six-switch inverter is used for the four-switch inverter
topology of the Brushless DC motor drive.
K. Vishnu Murthy, L. Ashok Kumar, N. Sampathraja and Y. Dhayaneswaran
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Figure 9 Conventional six - switch inverter used for Brushless DC motor
Figure 10 Four-switch inverter for the three-phase Brushless DC Motor
From Fig.9, the phase current Ic cannot hold at zero, and it causes an additional and
unexpected current, resulting in current distortion in phases a and b, and even in the
breakdown of the system.[20][21][22] The similar complications are rooted by the four-
switch mode, and it causes the voltage vectors to be limited and asymmetric, Table 1 shows
the basic operating principle Brushless DC Motor [11].
5. PROPOSED MODEL FOR SPEED CONTROL OF BRUSHLESS DC
MOTOR.
A. PID Controller
The PID controller is a linear controller. The Proportional value determinates the reaction to
the error, the Integral value determinates the reaction based on the sum of recent errors, and
the Derivative value determinates the reaction based on the rate at which the error has been
changing [5][13].
The packed sum of the above reactions is used to adjust control valve or the power supply
of a heating element. Due to its merits such as simple structure, high efficiency, and easy
implementation, the PID controller is widely used in most servo applications such as
actuation, robotics, machine tools, and so on [16][17].
B. Control System
The control system adopts the double-loop structure. The inner current loop maintains the
rectangular current waveforms, limits the maximum current, and ensures the stability of the
system.[23] The outer speed loop is designed to improve the static and dynamic
characteristics of the system. As the system performance is decided by the outer loop, the
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disturbance caused by the inner loop can be limited by the outer loop [18][19]. Thus, the
current loop adopts the conventional PID controller, and the speed loop adopts fuzzy logic
controller. Then, the parameter can be regulated online, and the system is adaptable to
different working conditions. The whole system is shown in Figure 11.
Figure 11a Proposed controller diagram
To implement the fuzzy control strategy, a fuzzy control with 5 rules was selected. The
input is the load current. The output is the amplitude of the auxiliary supply. The membership
function is shown Figure 11 b [1][2]
The membership functions of error are stable, min, max and membership functions of
error variance are no change, speed_re, speed_low, speed_slow, speed_inc.
The rules are,
1) if (Iq is stable) then (u1 is no change)(1)
2) if (Iq is min) then (u1 is speed_re)(1)
3) if (Iq is max) then (u1 is speed_low)(1)
4) if (Iq is stable) then (u1 is speed_slow)(1)
5) if (Iq is stable) then (u1 is speed_inc)(1)
Input
Output
Figure 11b Membership Function for Input and Output
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Mode Hall
Values
Working
Phase Current
Conducting
Devices
Mode 1 101 +a,-b ia= I*, ib= -I* VS1, VS4
Mode 2 100 +a,-c ia= I* VS1
Mode 3 110 +b,-c ia= -I* VS3
Mode 4 010 +b,-a ib= I*, ia= -I* VS2, VS3
Mode 5 011 +c,-a ia= -I* VS2
Mode 6 001 +c,-b Ib= -I* VS4
Table 2 Operating Modes of Four Switch Three Phase Brushless DC motor
According to Hall signals, controller 1 works when the motor runs at modes 2, 3, 5, and 6.
The fuzzy logic controller is taken as a speed controller. The speed difference can be
represented as
e(t) = v × − v(t) (6)
Where v∗ is the given speed value and v(t) is the measured speed value at time t. The
output of the fuzzy logic controller I∗ (t) is the threshold value of the current regulator. For
the safety of the system, I∗ (t) cannot pass beyond the maximum setting value. Then, the input
of the current regulator is
ei (t) = I × (t) − ic(t) (7)
A PID controller is used here as a current regulator.
6. SIMULATION OF PROPOSED MODEL
The simulation diagram for speed control of Brushless DC Motor using Fuzzy and PID
control is shown in the Figure 12.
Figure 12a Simulation model of Brushless DC Motor using fuzzy and PID control.
The Simulation Diagram for Pulse Width Modulation inverter is shown in the Fig .13.a
Figure.13a Simulation model using MATLAB for pwm Inverter
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The simulation diagram for dq to abc controller circuit is shown in the Fig 13.b
Figure 3b dq to abc Converter
7. SIMULATION RESULT AND ANALYSIS
An experimental setup was made to verify the simulated results under identical conditions.
The input voltage is shown in Fig.14 such that the fundamental voltage Vs = 98V. Similarly,
Fig.15 shows the waveform of Switching Pulses for IGBT.
Figure 14 Input voltage of 98V
Figure 15 Switching pulses for IGBT
The stator voltage of the Brushless DC motor is shown in the Fig. 16.a and the amplitude
is 100V, the stator current of Brushless DC Motor is shown in Fig.16.b
Figure 16a Stator Voltage of Brushless DC Motor
K. Vishnu Murthy, L. Ashok Kumar, N. Sampathraja and Y. Dhayaneswaran
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Figure 16b Stator Current of Brushless DC Motor
The Simulation result of torque and speed are shown in the Figure.17.and Figure.18. and
the speed attains steady state at 0.1ms.
Figure 17 Torque curve for Brushless DC motor
Figure 18 Speed curve for Brushless DC Motor
8. CONCLUSION
In this paper, the Soft Computing based GA for MPPT in solar panel configuration coupled
with PID based Fuzzy controller for Brushless DC Motor is employed. A PID controller is
used by the outer loop to develop the performance of speed control. Since only one current
sensor is being used, financial management also gets better with desired output. By inferring
the simulation results, the steady state condition attained in 0.1ms which will be great boost to
the application point of view. Finally, qualified performance was verified by simulation
results under different work conditions, at different speeds, and under different loads.
It should be noted that reducing the quantity of current sensor surely brings some negative
impacts to the control system, such as maximum current limitation in certain modes.
Additionally, the program tends to be complicated because a special algorithm is necessary as
compensation on the reduction of current sensor. Consequently, the software overhead is
increased. For further research, how to improve system reliability and optimize software
design should be the key point to implement the proposed strategy in industrial application
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REFERENCES
[1] S. Sumathi, L. Ashok Kumar, Surekha, Computational Intelligence Paradigms for
Optimization Problems Using MATLAB®/SIMULINK®, CRC Press, Taylor & Francis
Group, USA, ISBN 9781498743709, 2015 Edition.
[2] S. Sumathi, L. Ashok Kumar, P. Surekha, Solar PV and Wind Energy Conversion
Systems - An Introduction to Theory, Modelling with MATLAB/SIMULINK, and the
Role of Soft Computing Techniques – Green Energy and Technology, Springer; 2015
edition (20 April 2015), ISBN-10: 3319149407, ISBN-13: 978-3319149400.
[3] Caricchi.F ,Giulii Capponi.F, Crescimbini.F and Solero.L Sinusoidal Brushless Drive with
Low-Cost Linear Hall Effect Position Sensors IEEE Conf. pp.799-804, 2001.
[4] Changliang Xia, Zhiqiang Li, and Tingna Shi A Control Strategy for Four-Switch Three-
Phase Brushless DC Motor Using Single Current Sensor IEEE Trans. Ind. Electron, Vol.
56, no. 6, pp 2058 – 2066, June 2009.
[5] Chun-Liang Lin, Horn-Yong Jan, and Niahn-Chung Shieh GA-Based Multi objective PID
Control for a Linear Brushless DC Motor IEEE Trans. MECH, Vol. 8, No. 1, pp. 56 – 65,
March 2003.
[6] Gui-Jia Su, and John W. McKeever Low-Cost Sensorless Control of Brushless DC Motors
With Improved Speed Range IEEE Trans. Pow. Electron, Vol. 19, no. 2, pp. 296– 302,
March 2004.
[7] J.-H. Lee, T.-S. Kim, and D.-S. Hyun, A study for improved of speed response
characteristic in four-switch three-phase BLDC motor, in Proc. IEEE Ind. Electron. Soc.
Conf., 2004, vol. 2, pp. 1339–1343.
[8] Microchip Technology, Brushless DC (BLDC) motor fundamentals, Application note,
AN885, 2003.
[9] P. Pillay and R. Krishnan, Modeling, simulation and analysis of permanent-magnet motor
drives. II. The brushless DC motor drive, IEEE Trans. Ind. Appl., vol. 25, no. 2, pp. 274–
279, Mar./Apr. 1989.
[10] Q. Fu, H. Lin, and H. T. Zhang, Single-current-sensor sliding mode driving strategy for
four-switch three-phase brushless DC motor, in Proc. IEEE Ind. Technol. Conf., 2006, pp.
2396–2401.
[11] S.-H. Park, T.-S. Kim, S.-C. Ahn, and D.-S. Hyun, A simple current control algorithm for
torque ripple reduction of brushless DC motor using four-switch three-phase inverter, in
Proc. IEEE Power Electron. Spec. Conf., 2003, vol. 2, pp. 574–579.
[12] Y.F.Li and C.C.Liu, Development of fuzzy algorithms for servo systems. Control Syst
Mag, Vol.9, No.3, pp.65-72 I989
[13] B.-K. Lee, T.-H. Kim, and M. Ehsani, On the feasibility of four-switch three-phase BLDC
motor drives for low cost commercial applications: Topology and control, IEEE Trans.
Power Electron., vol. 18, no. 1, pp. 164–172, Jan. 2003.
[14] Balamurugan.M, Sarat Kumar Sahoo, Sukruedee Sukchai Application of soft computing
methods for grid connected PV system: Atechnological and status review”, Renewable
and Sustainable Energy Reviews Nov 2016.
[15] S. Singh and B. Singh, A voltage-controlled PFC Cuk converter based PMBLDCM drive
for air-conditioners, IEEE Trans. Ind. Appl, vol. 48, no. 2, pp. 832–838, Mar./Apr. 2012.
[16] B. Singh, S. Singh, A. Chandra, and K. Al-Haddad, Comprehensive study of single-phase
ac-dc power factor corrected converters with high-frequency isolation, IEEE Trans. Ind. In
format, vol. 7, no. 4, pp. 540–556, Nov. 2011.
[17] S. Singh and B. Singh, Power quality improved PMBLDCM drive for adjustable speed
application with reduced sensor buck-boost PFC converter, in Proc. 4th ICETET, Nov.
18–20, 2011, pp. 180–184.
K. Vishnu Murthy, L. Ashok Kumar, N. Sampathraja and Y. Dhayaneswaran
http://www.iaeme.com/IJMET/index.asp 1147 [email protected]
[18] T. Gopalarathnam and H. A. Toliyat, A new topology for unipolar brush-less dc motor
drive with high power factor, IEEE Trans. Power Electron., vol. 18, no. 6, pp. 1397–1404,
Nov. 2003.
[19] Y. Jang and M. M. Jovanovic, Bridgeless high-power-factor buck converter, IEEE Trans.
Power Electron., vol. 26, no. 2, pp. 602–611, Feb. 2011.
[20] L. Huber, Y. Jang, and M. M. Jovanovic, Performance evaluation of bridgeless PFC boost
rectifiers, IEEE Trans. Power Electron., vol. 23, no. 3, pp. 1381–1390, May 2008.
[21] A. A. Fardoun, E. H. Ismail, M. A. Al-Saffar, and A. J. Sabzali, New real bridgeless high
efficiency ac-dc converter, in Proc. 27th Annu. IEEE APEC Expo., Feb. 5–9, 201.
[22] W. Wei, L. Hongpeng, J. Shigong, and X. Dianguo, “A novel bridgeless buck-boost PFC
converter, in IEEE PESC/IEEE Power Electron. Spec. Conf., Jun. 15–19, 2008,
pp. 1304–1308.
[23] A. A. Fardoun, E. H. Ismail, A. J. Sabzali, and M. A. Al-Saffar, New efficient bridgeless
Cuk rectifiers for PFC applications, IEEE Trans. Power Electron., vol. 27, no. 7,
pp. 3292–3301, Jul. 2012.
[24] Sudhanshu G Chouhan, Sameer Ahmed Shaik, K Vamshi Krishna Reddy, Sai Rohith
Bandaru and Leela Krishnan Vaidyabhushan, Design of a Power Autonomous Solar
Powered Lawn Mower. International Journal of Mechanical Engineering and Technology,
8(5), 2017, pp. 113–123.
[25] Ramesh Batakurki, Chandra Prasad B S, Sunil S. Studies on Performance of Solar
Powered Vapour Absorption Refrigeration. International Journal of Mechanical
Engineering and Technology, 8(1), 2017, pp. 100–109.
[26] Lopamudra Mitra and Ullash Kumar Rout, Solar Powered Synchronous Buck Converter
for Low Voltage Applications, International Journal of Electrical Engineering and
Technology (IJEET), Volume 5, Issue 5, May (2014), pp. 74-88