Innovative Systems Design and Engineering ISSN (Paper) ISSN (Online) Vol.4, No.15, 2013

Similar documents
Lecture 20. Measuring Pressure and Temperature (Chapter 9) Measuring Pressure Measuring Temperature MECH 373. Instrumentation and Measurements

Finite Element Analysis of Piezoelectric Cantilever

NON-CONVENTIONAL ENERGY SOURCE USING PIEZOELECTRIC MATERIALS

INTRODUCTION TO PIEZO TRANSDUCERS

Lecture 19. Measurement of Solid-Mechanical Quantities (Chapter 8) Measuring Strain Measuring Displacement Measuring Linear Velocity

10 Measurement of Acceleration, Vibration and Shock Transducers

PIEZOELECTRIC MATERIALS USED FOR PORTABLE

DAMPING CONTROL OF A PZT MULTILAYER VIBRATION USING NEGATIVE IMPEDANCE CIRCUIT

Piezoelectric Resonators ME 2082

The secondary winding have equal no. of turns. The secondary windings are placed identically on either side of the primary winding.

Finite Element Modeling of Ultrasonic Transducers for Polymer Characterization

A Method of Measurement of Permittivity and Opacity of Fluid

Principles of Active Vibration Control: Piezoelectric materials

Control of Rectified Direct Current Using Low Series Capacitance

Enhancement of buckling load of thin plates using Piezoelectric actuators

7. CONCLUSIONS & SCOPE

Piezo materials. Actuators Sensors Generators Transducers. Piezoelectric materials may be used to produce e.g.: Piezo materials Ver1404

PERFORMANCE OF HYDROTHERMAL PZT FILM ON HIGH INTENSITY OPERATION

Piezoactuators. Jiří Tůma

Temperature Dependence of the Dielectric, Elastic and Piezoelectric Material Constants of Lead Zirconate Titanate Ceramics

Piezo Theory: Chapter 1 - Physics & Design

I. INTRODUCTION II. SAMPLE PREPARATION JOURNAL OF APPLIED PHYSICS VOLUME 92, NUMBER 5 1 SEPTEMBER

Introduction. Energy Generation with the Piezo Effect

COURSE OUTLINE. Introduction Signals and Noise Filtering Sensors: Piezoelectric Force Sensors. Sensors, Signals and Noise 1

ME 515 Mechatronics. Overview of Computer based Control System

Sensor Measurements For Diagnostic Equipment

PIEZOELECTRIC TECHNOLOGY PRIMER

1. Distinguish the important characteristics of instrument that are totally electrical and totally electronic in nature. [16]

Piezoelectric Vibration Energy Harvesting Device Combined with Damper

ACTIVE VIBRATION CONTROL PROTOTYPING IN ANSYS: A VERIFICATION EXPERIMENT

BENCHMARKING OF PIEZOCERAMIC MATERIALS FOR GENERATOR APPLICATION

AE60 INSTRUMENTATION & MEASUREMENTS DEC 2013

PIEZOELECTRIC HARVESTER MODEL AND PROPOSED NEW APPLICATIONS

Degradation of Piezoelectric Materials for Energy Harvesting Applications

Proceedings of Meetings on Acoustics

Hybrid Energy Generation from Acoustic and Pressure Waves using Piezoelectric Transducers

IJREAS Volume 3, Issue 4 (April 2013) ISSN: SIMULATION OF SELF POWERED PIEZOELECTRIC ENERGY HARVESTING SHOE ABSTRACT

MAS.836 PROBLEM SET THREE

Use of reciprocity calibrated accelerometer standards for performing routine laboratory comparison calibrations. Technical paper 226

HYBRID ENERGY HARVESTING FROM VIBRATION AND TEMPERATURE GRADIENT BY PZT AND PMN-0.25PT CERAMICS

DESIGN AND FABRICATION OF THE MICRO- ACCELEROMETER USING PIEZOELECTRIC THIN FILMS

Design and simulation of piezotyres using comsol multiphysics 4.3b software tool

Magneto-Mechanical Modeling and Simulation of MEMS Sensors Based on Electroactive Polymers

Energy balance in self-powered MR damper-based vibration reduction system

e453.eps 1 Change (or the absolute value) in the measured physical variable 2 Change in the sensor property is translated into low-power-level

Piezoelectric Fabrics for Energy Harvesting F06-GT05

19 th INTERNATIONAL CONGRESS ON ACOUSTICS MADRID, 2-7 SEPTEMBER 2007 A METHOD FOR THE AUTOMATIC CHARACTERIZATION OF PIEZOELECTRIC CERAMIC ELEMENTS

ELECTRIC POWER GENERATION USING PIEZOELECTRIC DEVICES

Electrostatic Microgenerators

ScienceDirect. Effect of Heat on the Performance of Novel Energy Harvester by using PZT-5H Transducers

Appendix A Fundamentals of Piezoelectricity

Single-phase driven ultrasonic motor using two orthogonal bending modes of sandwiching. piezo-ceramic plates

INF5490 RF MEMS. LN03: Modeling, design and analysis. Spring 2008, Oddvar Søråsen Department of Informatics, UoO

Modelling of Different MEMS Pressure Sensors using COMSOL Multiphysics

Analysis and Experiments of the Linear Electrical Generator in Wave Energy Farm utilizing Resonance Power Buoy System

Addition 1. Shear Stack Piezoelectric Elements and Shear Effect Basics

Testing and analysis of high frequency electroelastic characteristics of piezoelectric transformers

STRAIN GAUGES YEDITEPE UNIVERSITY DEPARTMENT OF MECHANICAL ENGINEERING

Module 2 Mechanics of Machining. Version 2 ME IIT, Kharagpur

Thickness Optimization of a Piezoelectric Converter for Energy Harvesting

Investigation on the Selection of Piezoelectric Materials for the Design of an Energy Harvester System to Generate Energy from Traffic

Effect of Strain Nodes and Electrode Configuration on Piezoelectric Energy Harvesting From Cantilevered Beams

ABSTRACT I. INTRODUCTION

CHAPTER 6 FRICTION AND WEAR ANALYSIS FOR BUSHING

Published by: PIONEER RESEARCH & DEVELOPMENT GROUP(

FINITE ELEMENT MODELLING OF COMPOSITES USING PIEZOELECTRIC MATERIAL

Supplementary Figure 1. Theoretical calculation results to optimize the FEP layer thickness

DYNAMIC ROTARY TORQUE MEASUREMENT USING SURFACE ACOUSTIC WAVES

Chapter 3. Lecture 3 Chapter 3 Basic Principles of Transducers. Chapter 3 - Definitions. Chapter 3. Chapter 3 7/28/2010. Chapter 3 - Definitions.

Brief Steady of Power Factor Improvement

Lecture 6: Piezoelectricity & Piezoresistivity

Design and Simulation of Various Shapes of Cantilever for Piezoelectric Power Generator by Using Comsol

SENSORS AND TRANSDUCERS

HOMOGENEOUS ELECTRORHEOLOGICAL FLUIDS APPLIED TO VIBRATION CONTROL

Design and Test of a PZT Wind Generator Excited by Rotary Magnet

ANALYSIS AND NUMERICAL MODELLING OF CERAMIC PIEZOELECTRIC BEAM BEHAVIOR UNDER THE EFFECT OF EXTERNAL SOLICITATIONS

VIBRATION CONTROL OF RECTANGULAR CROSS-PLY FRP PLATES USING PZT MATERIALS

Transducer. A device to which change or converts physical quantity in a more easily measurable quantity. Transducer. (Input) Sensor.

Piezoresistive sensors

Smart elastomers a touch of robotics

Microsensors. G.K. Ananthasuresh Professor, Mechanical Engineering Indian Institute of Science Bangalore, , India

Fabrication and performance of d 33 -mode lead-zirconate-titanate (PZT) MEMS accelerometers

7.Piezoelectric, Accelerometer and Laser Sensors

Design and Analysis of Various Microcantilever Shapes for MEMS Based Sensing

DEVELOPMENT OF HIGH-STRAIN LOW-HYSTERESIS ACTUATORS USING ELECTROSTRICTIVE LEAD MAGNESIUM NIOBATE (PMN)

(Refer Slide Time: 03:41)

SENSORS and TRANSDUCERS

Non-linear Properties of Piezoelectric Ceramics

Unit 3 Transducers. Lecture_3.1 Introduction to Transducers

Highly piezoelectric, thermal stable ferroelectrets from cyclic olefin copolymer. Yan Li, Hui Wang, Changchun Zeng ANTEC 2015, Orlando

Mathematical Modelling of an 3 Phase Induction Motor Using MATLAB/Simulink

Technical Report PZT-Silicon Cantilever Benders

Applicability of Self-Powered Synchronized Electric Charge Extraction (SECE) Circuit for Piezoelectric Energy Harvesting

EAP - ElectroActive Polymers

Design Optimization of Mems Based Piezoelectric Energy Harvester For Low Frequency Applications

Institute for Electron Microscopy and Nanoanalysis Graz Centre for Electron Microscopy

CIRCUIT ELEMENT: CAPACITOR

Wheatstone Bridge Nonlinearity

Lecture - 2A Instruments-I

Piezoelectric Vibration Energy Harvesting. Characteristics of Barium Titanate Laminates

Transcription:

A Study on Piezoelectric Elements and Its Utility in Designing of Electronic Scale Nilotpal Manna Department of Electronics and Instrumentation Engineering JIS College of Engineering, Kalyani, Nadia 741235, India email: nmanna324@gmail.com ABSTRACT All the electrical or electronic equipment need electrical power supply to operate. Most of these equipments are powered by conventional electricity resources. Conventional energy resource in form of electricity is most economic and cost effective. However this may not be suitable for some applications like portable instruments or the equipments used at remote areas. Therefore there is always search for alternate energy sources and solar energy, biogas, windmill etc. are the results of such searches. They may not be cost effective and there are several disadvantages in these sources. Piezoelectric generator (PEG) is one type of non-conventional energy source that can convert mechanical energy to electrical energy. Though their energy conversion is very low, but they may be used in some typical applications of portable and low power consuming devices. In this paper some investigation has been made how energy can be extracted from piezoelectric generators and efficiency can be improved which is applied as the power source to operate an Electronic Scale. Keywords: Piezoelectricity, Piezoelectric generators, Transversal, Shear, Display driver. 1. INTRODUCTION Any type of electronic or electrical or electromechanical equipment requires electricity to operate. Most of them are powered by conventional source of electricity, where generation of electricity is cost effective. But conventional electrical energy may not be suitable for some applications like portable instruments or equipments used in remote areas. Scientists are always looking for alternate source of energy which should be cost effective as well as efficient in operation. Piezoelectricity is one such type of source of non-conventional energy where electricity is generated from mechanical vibration. Mechanical vibration is observed in daily life and can be generated whenever necessory by individuals. Energy from mechanical vibration can conceivably be obtained from piezoelectric generators (PEG). Therefore PEGs have recently regained interest in the power generation field for portable and low power consuming devices. The merit of applying PEG s to these devices is that they can reduce the battery weight and possibly make the device self-powered by harvesting mechanical energy. However energy conversion from piezoelectric elements is normally very low. To maximize the advantages of piezoelectricity and to optimize its electrical energy production, the electro-mechanical characteristics of piezoelectric materials must be revisited. Electronic scale or electronic weighing machine is one of the electronic apparatus which has enormous commercial utility or otherwise. This requires low power and with the advent of technology its power consumption has been reduced drastically. In this paper, investigations has been made for different possible configurations of piezoelectric energy generators, with mathematical modeling that result in relationships between applied force (or pressure) and generated electrical energy. This is followed by the analysis to determine the factors that lead to maximum electrical energy generation in relation to a given volume of material or applied mechanical force, pressure, or stress. An analysis of electrical characteristics is made to enhance the power output and efficiency. Finally the design idea of an Electronic Scale has been provided which is powered by the energy generated by piezoelectric elements. 2. BACKGROUND As a word described by itself, Piezo means pressure, while electric refers to electricity. When crystals are pressurized, an electric field is generated. The piezoelectric effect was first discovered long before by Pierre and Jacques Curie, where they observed the presence of electricity with the application of pressure on the crystals. This is called the piezoelectric effect. The electric field generated by piezoelectric effect is quite small and not very useful until the LiTiBa ceramic was found. After the introduction of the LiTiBa ceramic, the piezoelectricity performance was increased and widely used as an electric device. One of the most common areas is resonators. Piezoelectric material works both ways. The electric power can be used to generate force or deflection and also, deflection or force can generate electric power. With a usual piezoelectric ceramic, the deflection with an electrical energy is almost invisible to the naked eye. To increase the deflection, a stacked device, or bender device, is used. In the sensor application, conventional diaphragm designs or sometimes spring mass damper designs are used. They are only used to measure the voltage generation. 1

Until recently, the piezoelectric generator (PEG) was not popular as a power generator because of its small power generation. Modern electrical devices are getting smaller and require smaller amounts of electrical energy. With current technology, the power requirement for low power microprocessors is only about 1 mw, which is possible to be delivered by PEGs. Unfortunately, design problems still remain. 3. PRINCIPLE OF OPERATION OF PIEZO-ELEMENTS Piezoelectricity is the electric charge that accumulates in certain solid materials (notably crystals, certain ceramics, and biological matter such as bone, DNA and various proteins) in response to applied mechanical stress. The word piezoelectricity means electricity resulting from pressure. In these materials the centers of the negative and positive charges of each molecule coincide, and the external effects of the charges are reciprocally cancelled. As a result, an electrically neutral molecule appears as in figure 1. Figure 1: Without Force Figure 2: With Force Figure 3: Redistribution of Dipoles With the application of external force the internal structure of material s surface is deformed, resulting in the separation of the positive and negative centers of the molecules and thus little dipoles are generated. It is illustrated in figure 2. The material is polarized as a distribution of a linked charge appears in the material s surfaces. The facing poles inside the material are mutually cancelled. The polarization generates an electric field from the material s deformation as shown in figure 3, which can be utilized in several applications. Depending on the way a piezoelectric material is cut, three main types of operations can be distinguished: (i) Transversal, (ii) Longitudinal and (iii) Shear. A gallium phosphate crystal is shown with different modes (arrows indicate the direction where the load is applied). Charges are generated on both sides of the element. The positive charges on the front side are accompanied by negative charges on the back. 3.1 Transverse effect A force is applied along a neutral axis and the charges are generated along the d11 direction as in figure 4. The amount of charge depends on the geometrical dimensions of the respective piezoelectric element. The charge generated is: where a is the dimension in line with the neutral axis and b is in line with the charge generating axis, d11 is piezoelectric coefficient and F y is applied force in y-direction. 3.2 Longitudinal effect The amount of charges produced is strictly proportional to the applied force and is independent of size and shape of the piezoelectric element. Using several elements that are mechanically in series and electrically in parallel is the only way to increase the charge output. The resulting charge is: where d 11 is piezoelectric coefficient [pc/n] F x is applied Force in x-direction and n is the number of elements. Figure5 illustrates the longitudinal effect. 2

Figure 4: Transversal effect Figure 5: Longitudinal inal effect ect Figure 6: Shear effect fect 3.3 Shear effect Again, the charges produced are strictly proportional to the applied forces and are independent of the element s size and shape. It is illustrated at figure 6. For n elements mechanically in series and electrically in parallel the charge is: 4. POWER GENERATION The voltage and power generation by piezo-elements is not very high, though instantaneous power generated from piezo with application of vibration or mechanical strain is moderate. To extract power, the piezo output voltage is rectified and then placed across a capacitive load to provide smooth DC voltage as shown in the figure 7. PIEZO- ELEMENT C V Figure 7: Power extraction circuit 3

The capacitor value is to be chosen using the following equation for average power, where C is the capacitance in Farads, V is the open circuit voltage piezo, and Δt is a reasonable time interval (~ 10 seconds). Electronic circuits generally operate at the power supply of ±3V to ±15V. Therefore, for application of electricity generated from piezoelectric generators to the low power electronic circuits, it is required that the generated voltage level is to be around 3V and this voltage is to be sustained for 15 to 20 sec for processing and display after the removal of mechanical stress. A study has been presented here in this respect where the piezo material is chosen as FT-20T-6.8E Piezo disc which is commercially available. 5. EXPERIMENTAL STUDY AND ANALYSIS ON PIEZO-ELEMENTS The study on piezo-material has been performed to determine the amount of voltage or power generated with respect to time. One commercially available piezo-material FT-20T-6.8E is placed as shown in the circuit of figure 7. With the output capacitor as 1000 MFD, the voltage versus time observation is noted at table 1. It was observed that voltage output initially increased with the application of mechanical stress but became steady at 1750 mv. To increase the output voltage two piezo elements, each followed by bridge rectifier, are kept in series with similar capacitive load of 1000 MFD. The output voltage became steady at 2150 mv with almost similar rise time Output voltage is further increased to 2760 mv and 3800 mv, resulted by respectively three and four piezo elements are in series with output capacitance of 1000 MFD. All the results are tabulated at table 1. The results are further presented in graphical form at figure 8. These results clearly indicate that the steady output voltage is obtained by using multiple numbers of piezo elements in series. It is to be noted that each piezo element is followed by bridge rectifier. However these observations were obtained at no load condition. To check the performance at loaded condition, four piezo elements are placed in series (each piezo element is followed by bridge rectifier) with capacitor of 1000MFD and 1 KΩ at output, which is tabulated at table 2. It is noted that output voltage became steady at 3000 mv. Further observation was made to see the effect of output capacitance. Capacitance value is increased to 2200 MFD. There is marginal improvement of steady output voltage as noted at table 2. However advantage of using higher capacitance is that the voltage output remains steady for longer time after removal of mechanical stress. Both the observations are presented at figure 9 in graphical form. and 4

Table 1: Voltage generation by different numbers of piezo-elements in respect of time Voltage (mv) Voltage (mv) Voltage (mv) Time (ms) One Piezo Two Piezos Three Piezos Voltage (mv) Four Piezos 1 100 125 150 215 370 2 200 220 220 395 495 3 300 300 300 500 600 4 400 395 400 580 695 5 500 490 500 670 800 6 700 600 620 810 1070 7 900 715 800 1000 1300 8 1000 810 920 1180 1400 9 1200 920 1040 1300 1600 10 1500 1000 1260 1450 2000 11 1800 1080 1420 1600 2320 12 2000 1140 1500 1780 2550 13 2200 1200 1570 1900 2790 14 2500 1260 1720 2000 3020 15 2800 1380 1790 2080 3200 16 3000 1480 1820 2130 3300 17 3200 1530 1850 2215 3400 18 3500 1600 1880 2310 3500 19 3800 1650 1920 2400 3600 20 4000 1700 2045 2480 3700 21 4500 1750 2090 2590 3800 22 5000 1750 2150 2760 3800 23 5500 1750 2150 2760 3800 24 6000 1750 2150 2760 3800 5

4000 3500 Four Piezos 3000 VOLTAGE (mv) 2500 2000 1500 Three Piezos Two Piezos One Piezo 1000 500 0 0 1000 2000 3000 4000 5000 6000 TIME (msec) Figure 8: Voltage vs Time performances of Piezo-elements Table 2: Voltage generated by four piezo-elements with variation of output capacitance Time (ms) Voltage (mv) with C=1000MF Voltage (mv) with C=2200MF 1 200 80 80 2 400 170 180 3 600 290 295 4 800 415 420 5 1000 550 560 6 1200 730 745 7 1500 1040 1050 8 1800 1250 1260 9 2000 1410 1490 10 2200 1600 1700 11 2500 1870 1920 12 2800 2100 2200 13 3000 2260 2480 14 3200 2460 2650 15 3500 2790 2955 16 3800 2900 3240 17 4000 3000 3300 18 4500 3000 3300 19 5000 3000 3300 6

3500 3000 2500 CAPACITANCE = 2200 MFD CAPACITANCE = 1000 MFD VOLTAGE (mv) 2000 1500 1000 500 0 0 1000 2000 3000 4000 5000 TIME (msec) Figure 9: Voltage vs Time with four piezos and 1K load with different output capacitances It is evident from above experimental study that piezo elements can deliver desired power supply for low voltage electronic applications. To improve current/power requirement, two or three sets of piezo element can be used in parallel, where each set of piezos comprised of four piezo elements with bridge rectifiers in series as illustrated at figure 10. The above experimental study on piezo-electricity generation is applied as circuit power supply of electronic scale. V Figure 10: Piezoelectric power generation 6. DESIGN IDEA OF ELECTRONIC SCALE The electronic scale developed in laboratory is meant for low cost and low weight measurement up to 1Kg. Load cell strain gauges are used as sensor elements that are mounted on a weighing platform. According to the weight of material, the weight sensing elements strain gauges, when biased, convert weight to electrical signal. The sensor output signal is passed through a signal conditioner circuit followed by an amplifier circuit and finally fed to the display unit. The schematic diagram is given at the figure 11. 7

Strain Gauge Weighing platform Signal Conditioner Display Amplifier Piezoelectricity generating unit as figure 10 Figure 11: Schematic Diagram of an electronic scale Piezo generated power Strain Gauges Figure12: Circuit Diagram of Electronic Scale The complete circuit diagram of the electronic scale is presented at figure 12. Load cell strain gauges are mounted at the weighing platform such that any load kept on the platform yields mechanical stress resulting in changes of resistances of the strain gauges. Strain gauges are placed in Wheatson bridge configuration. When any load is placed on the platform, the resistances of the arms of Wheatson bridge are changed to create an unbalanced condition, resulting in difference in voltage. The signal conditioning of voltage difference from wheatson bridge is accomplished by passing through unity gain amplifiers followed a differential amplifier. The output of differential amplifier is fed to another stage of amplifier. Zero and Span adjustments are provided by variable resistances. Quad operational amplifier LM 324 may be employed for above operation. Zenner diode of 2.7V is used for biasing the Wheatson bridge to stabilize and to avoid any minor fluctuation in the supply voltage which is generated by piezo-elements. The amplifier output is equivalent to the load kept at the weighing platform which is analog in nature. This amplified signal is fed to an integrated circuit ICL7136 that performs the tasks of 3½ digit analog to digital 8

conversion and LCD display driver. The outputs of LCD driver are connected to the LCD display unit. LCD display has the advantage of low power consumption, which is necessory for piezoelectricity driven equipments. The operation amplifiers are powered by the piezoelectricity as discussed above. However to meet the supply voltage requirement of ICL7136, a voltage doubler circuit is employed. The scheme as described above has been experimentally tried in the laboratory producing satisfactory results with good accuracy. The hardware set up is shown at figure 13. Weighing platform Piezo-elements are placed under this movable sheet mounted with springs Figure 13: Hardware set up 7. DISCUSSION AND CONCLUSION As observed from the experimental study above, the piezoelectric elements can deliver a good amount of power that may be useful for low power electronic devices or portable instruments. It is proved at the successful implementation of low power weighing machine in the laboratory. The hardware structure for energy extraction from piezo-elements is done in prototype by placing the elements in between two non-metallic sheets with spring arrangement. The mechanical stress is achieved by vibrating one the sheets by hand. However this arrangement may be improvised to generate more mechanical vibration with little effort. Though this laboratory model is intended for weighing up to 1Kg, the same circuit idea can be applied for higher weight measurement by selecting proper load cell and calibration. Piezoelectric elements offer a unique set of capabilities- inherent temperature stability, the amplitude range and the signal quality. This experimental study was made on commercially available piezo-elements. However there is lot of researches to improve the performance of piezoelectric elements and manufacturers offer wide range piezoelectric elements of higher performance. Cadmium Sulphide, Gallium Arsenide, Tellurium Dioxide, Aluminum Nitride etc. are the few among high performance piezoelectric materials. Integrated circuits are also available for efficient energy harvesting from piezoelectric materials. Using proper mechanism piezoelectric elements can be used as replacement of battery. However one disadvantage in above design idea is that continuous display is not possible as the piezoelectric power deceases with the withdrawal of mechanical stress. With proper selection of capacitance at piezoelectric power generation circuit, the display time duration may be adjusted so that a person can read. Piezoelectric power generators (PEG) have many advantages over other conversion methods.. Because of their simplicity, PEG s can even be made small enough to fit inside of micro electromechanical systems (MEMS). Another advantage is that the lifetime of the system is almost unlimited if the applied force and external temperature are within the operational range. Unlike the power generation methods that rely on heat conversion, a PEG presents no problems such as heat isolation. In addition, much of energy is being lost different vibrational environments like running of machineries, moving vehicles, moving staircases etc. PEGs can be employed to extract energy from these nonconventional sources. Even with these advantages, PEGs have been neglected for power generation because of the small electrical output. 9

8. REFERENCES [1] ANSI/IEEE, IEEE standard on piezoelectricity. IEEE Standard 176-1987 (1987). [2] L.F. Brown, Design consideration for piezoelectric polymer ultrasound transducers. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 47, 1377 1396 (2000). [3] S.A. Morris, C.G. Hutchens, Implementation of Mason s model on circuit analysis programs. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 33, 295 298 (1986). [4] W.M. Leach, Controlled-source analogous circuits and SPICE models for piezoelectric transducers. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 41, 60 66 (1994). [5] A. Püttmer, P. Hauptmann, R. Lucklum, O. Krause, B. Henning, SPICE models for lossy piezoceramics transducers. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 44, 60 66 (1997). [6] K.W. Kwok, H.L.W. Chan, C.L. Choy, Evaluation of the material parameters of piezoelectric materials by various methods. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 44, 733 742 (1997). [7] A.M. Vinogradov, V.H. Schmidt, G.F. Tuthill, G.W. Bohannan, Damping and electromechanical energy losses in the piezoelectric polymer PVDF. Mech. Mater. 36, 1007 1016 (2004) [8] S. Sherrit, H.D.Wiederick, B.K. Mukherjee, Non-iterative evaluation of the real and imaginary material constants of piezoelectric resonators. Ferroelectrics 134, 111 119 (1992). [9] TASI Technical Software Inc. Ontario, Canada (2007). Available at: http://www. tasitechnical.com. [10] R.S. Dahiya, M. Valle, G. Metta, L. Lorenzelli, S. Pedrotti, Deposition processing and characterization of PVDF-TrFE thin films for sensing applications, in IEEE Sensors: The 7th International Conference on Sensors, Lecce, Italy (2008), pp. 490 493. [11] Internet site http://www.ti.com. [12] Internet site http:// www.intersil.com. [13] Internet site http://www.linear.com. [14] Internet site http://mide.com. [15] Performance of PZT-Based Piezoelectric Ceramics, IEEE 1996, pp. 967-970. [16] Millman J, Halkias Christos C. Operational Amplifiers, McGraw-Hill, ISBN0070446636, 9780070446632. [17] Singh K, A thesis on Study on Solar/Biogas Hybrid Power Generation. Thapar University. ACKNOWLEDGEMENT The Author acknowledges the Technical Education Quality Improvement Program (TEQIP) for the support to precede the publication. ABOUT THE AUTHOR Nilotpal Manna obtained B.E. degree in Electronics and Telecommunication Engineering in 1979 from Bengal Engineering College, Sibpore, Kolkata, now renamed as Bengal Engineering and Science University and received M Tech degree in 1981from Indian Institute of Technology Madras (Chennai). He has wide industrial experience of twenty-two years from semi- government sectors like Instrumentation Ltd, Kota and several private industries like Toshniwal Instruments Manufacturing Pvt Ltd and others. He served mostly in the Research and Development wings and was associated in development of various electronic and communication instruments meant for military application as well as development of analytical instruments. At present he is Head of the Department of Electronics and Instrumentation Engineering of JIS College of Engineering, Kalyani, West Bengal, India. He has several research publications in national and international journals and conferences, and authored four technical books. E-mail: nmanna324@gmail.com 10