Journal Vol – 9 No -1, July 2014

Fault Detection technique of electronic gadgets using Fuzzy Petri net abduction method


Sudipta Ghosh , Arpan Dutta



Fuzzy technique using Petri net is a formal tool for describing a Discrete event system model of an actual system. The advantage of this technique is that concurrent evolutions with various processes evolving simultaneously and partially independently can be easily represented and analyzed. In local control applications conditions /events are used to describe the control sequences of elementary devices. Petri nets are made up of places, transitions and tokens. A state is represented by distribution of tokens in places. Various approaches can be used to combine Petri nets and Fuzzy sets. In this paper the authors speak about the fault finding technique of electronic networks with different illustrations.


Fuzzy sets,Petri nets,control sequences,technique of electronic networks ,


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XVII. Konar, A. and Mandal, A. K., “Stability analysis of a non-monotonic Petrinet for diagnostic systems using fuzzy logic,” Proc. of 33rd Midwest Symp. on Circuits, and Systems, Canada, 1991.

XVIII.Konar, A. and Mandal, A. K., “Non-monotonic reasoning in expert systems using fuzzy Petri nets,” Advances in Modeling & Analysis, B, AMSE Press, vol. 23, no. 1, pp. 51-63, 1992.

XIX. Konar, S., Konar, A. and Mandal, A. K., “Analysis of fuzzy Petri net models for reasoning with inexact data and knowledge-base,” Proc. of Int. Conf. on Control, Automation, Robotics and Computer Vision, Singapore, 1994.

XX. Konar, A., “Uncertainty Management in Expert System using Fuzzy Petri Nets,” Ph. D. dissertation , Jadavpur University, India, 1994.

XXI. Konar, A. and Pal, S., Modeling cognition with fuzzy neural nets, in Fuzzy Theory Systems: Techniques and Applications, Leondes, C. T., Ed., Academic Press, New York, 1999.

XXII. Kosko, B., Neural Networks and Fuzzy Systems, Prentice-Hall, Englewood Cliffs, NJ, 1994.

XXIII. Lipp, H. P. and Gunther, G., “A fuzzy Petri net concept for complex decision making process in production control,” in Proc. First European congress on fuzzy and intelligent technology (EUFIT ’93), Aachen, Germany, vol. I, pp. 290 – 294, 1993.

XXIV. Looney, C. G., “Fuzzy Petri nets for rule-based decision making,” IEEE Trans. on Systems, Man, and Cybernetics, vol. 18, no.1, pp.178-183, 1988.

XXV. McDermott, V. and Doyle, J., “Non-monotonic logic I,” Artificial Intelligence, vol. 13 (1-2), pp. 41-72, 1980.

XXVI. Murata, T., “Petri nets: properties, analysis and applications”, Proceedings of the IEEE, vol. 77, no.4, pp. 541-580,1989.

XXVII. Pal, S. and Konar, A., “Cognitive reasoning using fuzzy neural nets,” IEEE Trans. on Systems , Man and Cybernetics, August, 1996.

XXVIII. Peral, J., “Distributed revision of composite beliefs,” Artificial Intelligence, vol. 33, 1987.

XXIX. Pedrycz, W. and Gomide, F., “A generalized fuzzy Petri net model,” IEEE Trans. on Fuzzy systems, vol . 2, no.4, pp 295-301, Nov 1994.

XXX. Pedrycz, W, Fuzzy Sets Engineering, CRC Press, Boca Raton, FL, 1995.

XXXI. Pedrycz, W., “Fuzzy relational equations with generalized connectives and their applications,” Fuzzy Sets and Systems, vol. 10, pp. 185-201, 1983.

XXXII. Pedrycz, W. and Gomide, F., An Introduction to Fuzzy Sets: Analysis and Design, MIT Press, Cambridge, MA, pp. 85-126, 1998.

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Pressure-Driven Flow Instability with Convective Heat Transfer through a Rotating Curved Channel with Rectangular Cross-section: The Case of Negative Rotation


Md. Zohurul Islam, Md. Sirajul Islam, Muhammad Minarul Islam



Due to engineering applications and its intricacy, the flow in a rotating curved duct has become one of the most challenging research fields of fluid mechanics. A comprehensive numerical study is presented for the fully developed two-dimensional thermal flow of viscous incompressible fluid through a rotating curved rectangular duct of constant curvature1.0=δ. Numerical calculations are carried out by using a spectral method and covering a wide range of the Taylor number 02000<≤−Trand the Dean number 1000100≤≤Dn for the constant Grashof number100=Gr. A temperature difference is applied, that is the outer wall of the duct is heated while the inner wall is cooled. The rotation of the duct about the center of curvature is imposed, and the effects of rotation (Coriolis force) on the unsteady flow characteristics are investigated. Flow characteristics are investigated for the case of negative duct rotation. We investigate the unsteady flow characteristics for the Taylor number02000<≤−Tr and it is found that the unsteady flow undergoes in the scenario ‘steady-state→ periodic→ multi-periodic → steady-state’, if Tr is increased in the negative direction. Contours of secondary flow patterns and temperature profiles are also obtained at several values of Tr, and it is found that there exist two- and multi-vortex solutions if the duct rotation is involved in the negative direction.


thermal flow,viscous incompressible fluid ,duct rotation,Taylor number,Grashof number,


I. Nandakumar, K. and Masliyah, J. H. (1986). Swirling Flow and Heat Transfer in Coiled and Twisted Pipes, Adv. Transport Process., Vol. 4, pp. 49-112.

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VII. Yamamoto, K., Yanase, S. and Alam, M. M. (1999). Flow through a Rotating Curved Duct with Square Cross-section, J. Phys. Soc. Japan, Vol. 68, pp. 1173-1184.

VIII. Mondal, R. N., Alam M. M. and Yanase, S. (2007). Numerical prediction of non- isothermal flows through a rotating curved duct with square cross section, Thommasat Int. J. Sci and Tech., Vol. 12, No. 3, pp. 24-43.

IX. Mondal, R. N., Datta, A. K. and Uddin, M. K. (2012). A Bifurcation Study of Laminar Thermal Flow through a Rotating Curved Duct with Square Cross-section, Int. J. Appl. Mech. and Engg. Vol. 17 (2). (In Press).

X. Mondal, R. N., Islam, M. S., Uddin, M. K. and Hossain, M. A. (2013). “Effects of Aspect Ratio on Unsteady Solutions through a Curved Duct Flow”, Appl. Math. & Mech. (Springer), Vol. 34(9), pp. 1-16

XI. Mondal, R. N., Islam, Md. Zohurul., and Md. saidul Islam, Editors. Transient Heat and Fluid Flow through a Rotating Curved Rectangular Duct: The Case of Positive and Negative Rotation. Proceedings of the 5th BSME International Conference on Thermal Engineering, (2012),December 21-23; IUT, Dhaka.

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State Space Analysis of a Solar Power Array Taking a Higher Degree Of Non-Linearity into Account


Adhir Baran Chattopadhyay, Sunil Thomas, Aliakbar Eski, Ruchira Chatterjee



This paper develops a mathematical technique for the solution of a non linear state variable model of a solar array power system powering a non linear load. The significance of the technique lies in the fact that experimental complexities can be avoided to reach a desired conclusion regarding the design of the controller associated with a solar power array system. An iterative method has been used in which the initiating assumption has been made to consider the system to depend entirely upon its initial values at the instant t = 0 and taking the forcing function to be zero at that instant. In the next step we use the solution at t = 0 and plug it into the equation iteratively while having a non zero value of the forcing equation during the second iteration. The non linearity lies in the fact that the forcing function is a function of the state variable itself. We have applied the Maclaurin series to find the laplace transform of certain mathematical functions containing a singularity at the zero time instant. The time response is obtained and then it is plotted by using MATLAB and various graphs have been obtained.


solar array power system ,non linear state variable model, forcing function,laplace transform,time response,


I. Bae, H. S., J.H. Lee, S.H. Park and B.H. Cho, 2008. “Large-Signal Stability Analysis of Solar Array Power System”. IEEE Transactions on Aerospace and Electronic Systems, 44 Issue-2: 538-547. DOI: 10.1109/TAES.2008.4560205.

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III. Bondar, D., D. Budimir and B. Shelkovnikov, 2008. “A new approach for non-linear analysis of power amplifiers”. In: 18th International Crimean Conference Microwave & Telecommunication Technology, 2008. Sevastopol, Crimea, 8-12 September 2008. IEEE, pp: 125 – 128.

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VI. Chattopadhyay, A.B., S.S. Dubei, A. Bhattacharjee and K. Raman, 2009. “Modelling of DC-DC Boost converter state variable modeling and error analysis”. A.M.S.E Journal, France, Modelling Measurement & Control, 82 Issue-4: 1-16.

VII. Cho, B.H., J.R. Lee and F.C.Y. Lee, 1990. “Large-Signal Stability Analysis of Spacecraft Power Processing System”. IEEE Transactions on Power Electronics, 5 Issue-1: 110 – 116. DOI: 10.1109/63.46005.

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XII. Mourra, O., A. Fernandez and F. Tonicello, 2010. “Buck Boost Regulator (B2R) for Spacecraft Solar Array Power conversion”. In: Twenty-Fifth Annual IEEE Applied Power Electronics Conference and Exposition (APEC), 2010. Palm Springs, CA, USA. 21-25 February 2010. IEEE, pp: 1313 – 1319.

XIII. Paulkovich, John, 1967. “Solar Array Regulators of Explorer Satellites XII, XIV, XV, XVIII, XXI, XXVI, XXVIII and Ariel I”. NASA Technical Note: 1 – 15.

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XV.Siri, K. and K.A. Conner, 2002. “Parallel-Connected Converters with Maximum Power Tracking.” In: Seventeenth Annual IEEE Applied Power Electronics Conference and Exposition 2002. Dallas, TX, USA. 10-14 March 2002. IEEE, pp: 419 – 425.

XVI. Siri, K., 2000a. “Study of System Instability in Solar-Array-Based Power Systems”. IEEE Transactions on Aerospace and Electronics Systems, 36 Issue-3: 957 – 964. DOI: 10.1109/7.869515.

XVII. Siri, K., 2000b. “Study of System Instability in Current-Mode Converter Power Systems Operating in Solar Array Voltage Regulation Mode”. In: Fifteenth Annual IEEE Applied Power Electronics Conference and Exposition 2000. New Orleans, LA, USA. 06-10 February 2000. IEEE, pp: 228—234.

XVIII. Wang, Xiaolei, Pan Yan and Liang Yang, 2010a. “An Engineering Design Model of Multi-cell Series-parallel Photovoltaic Array and MPPT control”. In: The 2010 International Conference on Modelling, Identification and Control (ICMIC). Okayama City, Japan. 17-19 July 2010. Okayama University, Japan, pp: 140 – 144.

XIX. Wang, Xiaolei, Liang Yang and Pan Yan, 2010b. “An Engineering Design Model of Multi-cell Series-parallel Solar Array”. In: 2nd International Conference on Future Computer and Communication (ICFCC), 2010. Wuhan, China. 21-24 May 2010. IEEE, pp: 498 – 502.

XX. Yuen-Haw Chang, 2011, “Design and Analysis of Multistage Multiphase Switched-Capacitor Boost DC–AC Inverter”, Circuits and Systems I: Regular Papers, IEEE Transactions on Volume: 58 , Issue: 1 , Page(s): 205 – 218

XXI. Gu, B.; Dominic, J.; Lai, J.-S.; Zhao, Z.; Liu, C., 2013, “High Boost Ratio Hybrid Transformer DC–DC Converter for Photovoltaic Module Applications”, Power Electronics, IEEE Transactions on Volume: 28 , Issue: 4 Page(s): 2048 – 2058

XXII. Yan Ping Jiao; Fang Lin Luo, 2009,” An improved sliding mode controller for boostconverter in solar energy system”, Industrial Electronics and Applications, 2009. ICIEA 2009. 4th IEEE Conference on, Page(s): 805 – 810

XXIII. Yuncong Jiang; Abu Qahouq, J.A., 2011, “Study and evaluation of load current based MPPT control for PV solar systems”, Energy Conversion Congress and Exposition (ECCE), 2011 IEEE, Page(s): 205 – 210

XXIV.Carvalho, C.; Paulino, N., 2010, A MOSFET only, “Step-up DC-DC micro powerconverter, for solar energy harvesting applications”, Mixed Design of Integrated Circuits and Systems (MIXDES), 2010 Proceedings of the 17th International Conference , Page(s): 499 – 504

XXV. Jianwu Zeng; Wei Qiao; Liyan Qu, 2012, “A single-switch isolated DC-DC converter for photovoltaic systems”, Energy Conversion Congress and Exposition (ECCE), 2012 IEEE, Page(s): 3446 – 3452

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Some Results on Normal meet Semilattices


Momtaz Begum, A.S.A.Noor



In this paper we introduce the concept of normal semilattices in presence of 0-distributivity and include a nice characterization of normal semilattices. We also study the p-ideals in pseudo complemented meet semilattices. Then we give the notion of S-semilattices and prove that every S-semilattice is comaximal, although its converse in not true. Finally, we prove that every S-semilattice is normal, but the converse need not be true.


normal semilattices,0-distributivity, ideals,meet semilattices,


I. P. Balasubramani and P. V. Venkatanarasimhan, Characterizations of the 0-Distributive Lattices, Indian J. Pure appl.Math. 32(3) 315-324, (2001).

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IV. R.M. Hafizur Rahizur Rahman, M. Ayub Ali and A.S.A . Noor, On semi prime ideals in lattices, ISSN 0973-8975, J. Mech. Cont. & Math. Sci., Vol.-7, No.-2, January (2013) Pages 1094-1102.

V.Momtaz Begum and A.S.A. Noor, Semi prime ideals in meet semilattices, Annals of Pure & appl.Math.Vol.1, No.2, 2012, 149-157. Nag , C. Begum S.N. and Taluhder, M.R. Some characterizations of subclasses of P-algebras. Manuscript.

VI. A.S.A. Noor and Momtaz Begum, Some Properties of 0-distributive Meet Semilattices, Annals of Pure & appl. Math.Vol.2, No.1, 2012, 60-66.

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IX. J. C. Varlet, A generalization of the notion of pseudo-complementedness, Bull.Soc.Sci.Liege, 37(1968), 149-158.

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M. A. M. Talukder , D. M. Ali



In this paper , we introduce the concept of partially α– shading ( resp. partially *α– shading ), in ahort, αp– shading ( resp. *αp– shading ) and partially α– compact ( resp. partially *α– compact ), in short, αp– compact ( resp. *αp– compact ) fuzzy sets and study their several features in fuzzy topological spaces.


fuzzy sets,compact fuzzy sets,fuzzy topological spaces,


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Relation Between Lattice and Semiring


Kanak Ray Chowdhury, Abeda Sultana , Nirmal Kanti Mitra , A F M Khodadad Khan



In this paper, connection between lattice and semiring are investigated. This is done by introducing some examples of lattice and semirings. Examples and results are illustrated. In some cases we have used MATLAB.


lattice,semiring, MATLAB,


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XIII. Vasanthi T. and Amala, M. Some special classes of semirings and ordered semirings, Annals of Pure and Applied Mathematics, 4(2) (2013) 145-159.

XIV. Vasanthi T. and Solochona, N. On the additive and multiplicative structure on semirings, Annals of Pure and Applied Mathematics, 3(1) (2013) 78-84.

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Free Convective Mass Transfer Flow Through A Porous Medium In A Rotating System


M. M. Haque, M. Samsuzzoha, M. H. Uddin , A. A. Masud



An analytical investigation on a free convective mass transfer steady flow along a semi-infinite vertical plate bounded by a porous medium with large suction is completed in a rotating system. A mathematical model related to the problem is developed from the basis of studying Fluid Dynamics(FD). Non-dimensional system of equations is obtained by the usual similarity transformation with the help of similar variables. The perturbation technique is used to solve the momentum wiith concentration equations. The chief physical interest of the problem as shear stress and Sherwood number are also calculated here. The numerical values of velocities, concentration, shear stress and Sherwood number are plotted in figures. In order to observe the effects of various parameters on the flow variables, the results are discussed in detailed with the help of graphs. Last of all, some important findings of the problem are concluded in this study.


convective mass transfer,steady flow,shear stress ,Sherwood number ,


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VIII.H.P.Greenspan: The theory of rotating fluids, Cambridge University Press, Cambridge, England (1968).

IX.Raptis A.A. and Perdikis C.P. “Effects of mass transfer and free convection currents on the flow past an infinite porous plate in a rotating fluid’. Astrophysics and Space Sci. Vol. 84, No. 2, pp 457 – 461 (1982).

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