Archive

Abstract:

This study looks the steady problem which models the behavior of incompressible non-Newtonian viscoelastic Oldroyd-B fluid through a four-to-one abrupt contraction in a bidimensional domain The constitutive equations for the Oldroyd-B fluids consist of highly non-linear system of partial differential equations (PDE) of combined elliptic-hyperbolic type. The numerical results are obtained by a technique of decoupling the system into the Navier-Stokes like problems for the velocity and pressure (elliptic part of the system) and the steady tensorial transport equation for the extra stress tensor (hyperbolic part of the system). To approximate the velocity and pressure,  (Hood-Taylor) finite elements method is used whilethe discontinuous Galerkin finite element method is used to solve the tensorial transport part to approximate the extra stress tensor. Through the flow over four-to-one abrupt contraction domain, the effects of varying the parameters, i.e., i.e., Reynolds number, Weissenberg number, relaxation and retardation time parameter, on the contours of the velocity profile, stream line, pressure and extra stress tensor are presented, analyzed and discussed graphically.   

Keywords:

Viscoelastic fluid,Oldroyd-B fluid,Navier-Stokes equations,tensorial transport equations,finite element method,abrupt contraction,

Refference:

I. A. Ern and J. Guermond, “Discontinuous Galerkin Methods for Friedrichs’ Systems, I. General Theory”, SIAM J. Numer. Anal., Vol. 44, Issue: 2,pp. 753-778, 2006.
II. A. Quarteroni and A. Valli, Numerical Approximation of Partial Differential Equations. Springer-Verlag 1994.
III. B. Q. Li, Discontinuous Finite Elements in Fluid Dynamics and Heat Transfer. Springer-Verlag, 2006.
IV. C. Fetecau and K. Kannan, “A note on an unsteady fow of an Oldroyd-B fluid”, International Journal of Mathematics and Mathematical Sciences, Vol., 19, pp. 3185–3194, 2015.
V. F. Hecht, “New development in FreeFem++”, Journal of numerical mathematics, Vol. 20, Isssue: 3-4pp. 251-266, 2012.
VI. G. F. Carey and J. T. Oden, Finite elements. Vol.VI. Fluid mechanics. The Texas Finite Element Series, VI. Prentice Hall, Inc., Englewood Cliffs, New Jersey, 1986.
VII. H. Brezis, Functional Analysis, Sobolev Spaces and Partial Differential Equations, Springer, 2011.
VIII. J. Hron, Numerical Simulation of Visco-Elastic Fluids, In: WDS’ 97, Freiburg, 1997.
IX. K. M. Helal, “Numerical Solutions of Steady Tensorial Transport Equations Using Discontinuous Galerkin Method Implemented in FreeFem++”, Journal of Scientific Research, Vol. 8, Issue: 1, pp.29-39, 2016.
X. K. M. Helal, “Numerical Study and CFD Simulations of Incompressible Newtonian Flow by Solving Steady Navier-Stokes Equations Using Newton’s Method”, Journal of Mechanics of Continua and Mathematical Sciences,Vol. 9, Issue: 2, pp. 1403-1417, 2015.
XI. K. Najib and D. Sandri, On a decoupled algorithm for solving a finite element problem for the approximation of viscoelastic fluid flow, Numer. Math.,Vol. 72, pp. 223-238, 1993.
XII. K. R. Rajagopal, On boundary conditions for fluids of differential type, A. Sequeira (ed.) Navier-Stokes Equations and Related Non-Linear Problems, Plenum Press, 273-278, 1995.
XIII. M. Jamil, C. Fetecau, and M. Imran, “Unsteady helical flows of Oldroyd-B fluids”, Commun. Nonlinear. Sci. Numer. Simulat.,Vol. 16, pp.1378–1386, 2011.
XIV. M. M. Rhaman and K. M. Helal, “Numerical Simulations of Unsteady Navier-Stokes Equations for incompressible Newtonian Fluids using FreeFem++ based on Finite Element Method”, Annals of Pure and Applied Mathematics, Vol.6, Issue: 1, pp. 70-84, 2014.
XV. M. Sulaiman, A. Ali and S. Islam, “Heat and Mass Transfer in Three-Dimensional Flow of an Oldroyd-B Nanofluid with Gyrotactic Micro-Organisms”, Mathematical Problems in Engineering, Vol. 2018, ID 6790420.
XVI. M. Jamil, C. Fetecau, and M. Imran, “Unsteady helical flows of Oldroyd-B fluids”, Commun. Nonlinear. Sci. Numer. Simulat.,Vol. 16, pp.1378–1386, 2011.
XVII. M. Pires, A. Sequeira, “Flows of Generalized Oldroyd-B Fluids in Curved Pipes”, In: Escher J. et al. (eds) Parabolic Problems. Progress in Nonlinear Differential Equations and Their Applications, vol 80. Springer, Basel, 2011.
XVIII. M. M. Rhaman and K. M. Helal, “Numerical Simulations of Unsteady Navier-Stokes Equations for incompressible Newtonian Fluids using Free Fem++ based on Finite Element Method”, Annals of Pure and Applied Mathematics, Vol.6, Issue: 1, pp. 70-84, 2014.
XIX. M. Sulaiman, A. Ali and S. Islam, “Heat and Mass Transfer in Three-Dimensional Flow of an Oldroyd-B Nanofluid with Gyrotactic Micro-Organisms”, Mathematical Problems in Engineering, Vol. 2018, ID 6790420.
XX. Oldroyd, James, “On the Formulation of Rheological Equations of State”, Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 200, Issue: 1063,pp. 523–541, 1950
XXI. P. Lesaint and P. A. Raviart, On a finite element method for solving the neutron transport equation, C. Boor (editor), Mathematical Aspects of Finite Elements in Partial Differential Equations, 89-123, New York, Academic press, 1974.
XXII. P. Saramito, Simulation numeerique decoulements de fluids visco-elastiquespar elements finis incompressible setune methode de directions alternes Applications, These de l’Institut National Polytechnique de Grenoble, 1990.
XXIII. S. A. Shehzad, A. Alsaedi, T. Hayat, and M. S. Alhuthali, “Three-Dimensional Flow of an Oldroyd-B Fluid with Variable Thermal Conductivity and Heat Generation/Absorption”, PLoSONE,Vol. 8, 2013.
XXIV. T. Hayat and A. Alsaedi, “On thermal radiation and Joule heating effects on MHD flow of an Oldroyd-B fluid with thermophoresis”, Arb. J. Sci. Eng.,Vol. 36, pp.1113–1124, 2011.
XXV. T. Hayat, S. A. Shehzad, M. Mustafa, and A. A. Hendi, “MHD flow of an Oldroyd-B fluid through a porous channel”, Int. J. Chem. Reactor Eng., Vol. 10, Article ID A8, 2012.
XXVI. V. Girault and P. A. Raviart, Finite Element Approximation of the Navier-Stokes Equations, Computational Mathematics. Springer-Verlag, Berlin, 1986.

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Abstract:

In this article, initially we propose a new cryptosystem based on conjugacy using automorphism over non-commutative groups. We applied the proposed cryptosystem to design expert smart meters based on homomorphic encryption with double conjugacy. Smart meters will communicate mostly errorless client electricity consumption readings to suppliers. Although this provides benefits for both entities, it results in a severe loss of privacy for customers. We integrate a monitoring purpose system that preserves customer’s privacy by homomorphically accumulating the consumptions of all n members of a domain. This expert smart system has an proficient linear O(n) communication cost and is proven to protect customer’s privacy even in the presence of a corrupted substation and some malicious smart meters. It need not have any secure communication channels or a trusted third party(except for allotting public key certificates). The security of cryptosystem and smart metering depends on conjugacy and homomorphism. We also demonstrated that the comparison of smart meters with electronic meters by real time data.

Keywords:

Cryptosystem,Homomorphic Encryption,Conjugacy Problem ,Smart Metering,

Refference:

I. Alohali B, Kifayat K, Shi Q, Hurst W, “A survey on cryptography key management schemes for smart grid”, in Journal of Computer sciences and Applications, pp.27-39, 2015.

II. AyanMahalanobis, “A Simple Generalization of Elgamal Cryptosystem to Non-abelian Groups”, in communications in algebra , pp.3878-3889, 2008.

III. Bohli JM, Sorge C, Ugus O, “A Privacy model for smart metering”, in Proceedings of the First IEEEInternational Workshop on Smart Grid Communications(in conjunction with IEEE ICC 2010), 2010.

IV. Busom N , Petrlic R , Sebe F, Sorge C, Valls M., “Efficient smart metering based on homomorphic encryption”, in Computer Communications, pp. 95-101, 2016.

V. Castelluccia C, Mykletun E, Tsudik G, “Efficient aggregation of encrypted data in wireless sensor networks, in Proceedings of the second Annual International conference on Mobile and Ubiquitous systems: Networking and services , pp.109-117, 2015.

VI. Dan Boneh, Eu-Jin Goh, KobbiNissim, “Evaluating 2-DNF formulas on cipher texts”, in Theory of Cryptography Conference, pp. 325-341, 2005.

VII. Danezis G, FournetC, Kohlweiss M, Zanella-BeguelinS, “Smart meter aggregation via secret sharing”, in Proceedings of Smart Energy Grid Security Workshop , pp.75-80, 2013.

VIII. Efthymiou C, Kalogridis G, “Smart grid privacy via anonymization of smart metering data”, in Proceedings of the First IEEE International Conference on smart Grid Communications, pp.238-243, 2010.

IX. Finster S, Baumgart I, “Privacy aware smart metering: a survey”, in IEEECommun.Surv.Tutor, 2014.

X. Garcia F, Jacobs B, “ Privacy friendly energy metering via homomorphic encryption”, in Proceedings of 6thInternational Conference on security and Trust Management, LNCS, pp.226-238, 2011.

XI. Jawurek M, Kerschbaum F, Danezis G, “ Privacy Technologies for smart Grids- a survey of options”, in Technical report, Micro Technical Report 2010.

XII. Joye M, Libert B, “ A scalable scheme for privacy preserving aggregation of time series data”, in Financial Cryptography and Data security, Springer- verlag, Berlin Heidelberg , pp.111-125, 2013.

XIII. Jung T, Li X, “Collusion tolerable privacy preserving sum and product calculation without secure channel, in IEEE Trans. Dependable and Secur. Comput , pp.45-57, 2015.

XIV. Li F, Luo B, liuP, “Secure information aggregation for smart grids using homomorphic encryption”, in Proceedings of the First IEEE International Conference on smart Grid Communications , pp.327-332, 2011.

XV. Lu R, Liang X, Li X, Shen X, Eppa, “ An efficient and privacy preserving aggregation scheme for secure smart grid Communications”, in IEEE Trans.Paralleldistrib. Syst: 2012.

XVI. Petrlic R., “A privacy preserving concept for smart grids”, in Sicherh.Vemetztensyst, 2010.

XVII. Pedersen T, “A threshold cryptosystem without a trusted party”, Proceedings of Advances in Cryptology Eurocrypt 91 LNCS 1991, pp.522-526.

XVIII. Ronald L, RivestLeonardAdleman, Michael L. Dertouzos, “On Data Banks and Privacy Homomorphisms, chapter On Data Banks and Privacy Homomorphisms”, Academic Press 1978, pp. 169-180.

XIX. Shi E, Chow R, Chan T H, Song D, Rieffel E, “Privacy preserving aggregation of time series data”, in Proceedings of Network and Distributed System Security symposium, NDSS, The Internet Society, 2011.

XX. Stephen Haben, Jonathan Ward, DanicaVukadinovicGreetham, Colin singleton, peter Grindrod, “A new error measure for forecasts of household level, high resolution electrical energy consumption”, in International Journal of Forecasting , pp.246-256, 2014.

XXI. Thoma C, Franz Franchetti T C, “Secure multiparty computation based privacy preserving smart metering system”, 2012.

XXII. Vetter B, Ugus O, Westhoff D, SorgeC, “Homomorphic primitives for a privacy friendly smart metering Architecture”, inProceedings of the International Conference on Security and Cryptography, SECRYPT, pp.102-112, 2012.

XXIII. Xie C R, Zhang R Y, “Privacy preserving power consumption data measuring protocol for smart grid”, in Proceedings of International Conference on Computer Information Systems and Industrial applications, CISIA, 2015.

XXIV. Yukun N, Xiaobin T, Shi C, Haifeng W, Kai Y , Zhiyong BU, “A security privacy protection scheme for data collection of smart meters based on homomorphic encryption”, in Eurocon, 2013.

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Abstract:

A variable speed motor is a switched reluctance motor (SRM) most widely used in many number of applications in industries. The major challenge in switched reluctance motor is production of high noise and vibrations due to its double salient design. For this bearingless switched reluctance motor (BSRM) is a feasible solution. It is an electromagnetic device combining conventional motor with active magnetic bearing. Currently, in caseofBSRMthe research have been fastened due to its simple and rugged construction, cost and fault tolerance as compared to conventional motors.This paper gives a comparative analysisonBSRMcomponents, its design considerations and different types of intelligent controllersareexplained in detail.

Keywords:

SRM,BSRM,AMB,Radial force,

Refference:

I. A. Chiba, M. Hanazawa, T. Fukao and M. A. Rahman, M. A., “Effects of magnetic saturation on radial force of bearingless synchronous reluctance motors”, IEEE Transactions on Industry Applications, vol. 32,no. 2,pp. 354-362, 1996.

II. Ahmed Firdausa, et al. “Modelling and analysis of Bearingless Switched Reluctance Motor equipped with Specialized Stator Winding.” IEEE IntConf on Power Electronics, Drives and Energy Systems, 2016.

III. Ahmed Firdausa, Gaurav Kumar et al. “Design Methodology for a Special Single Winding BasedBearingless Switched Reluctance Motor” Journal of Engineering, vol. 1, no. 1, 2017.

IV. Ahmed, Firdausa, et al. “Bridge Configured Wounded Switched Reluctance Motor.” Procedia Engineering, vol. 144, pp. 817-824, 2015.

V. A. Chiba, M. A. Rahman and T. Fukao, “Radial force in a bearingless reluctance motor”, IEEE Transactions on Magnetics, vol. 27,no. 2,pp. 786-790, 1991.

VI. BingkunXae, Huijunwang and JunfangBao., “Design Of Novel 12/14 Bearing-less Permanent Biased Switched Reluctance Motor,” Int. Conf on Electrical Machines and System, October 2014.

VII. Chaithanya, S., Reddy, V.N.B. and Kiranmayi, R., “Modeling & analysis of grid-tied PMA based offshore wind energy system using PSCAD/EMTDC”. Ain Shams Engineering Journal, vol. 10, no. 2, pp.411-417, 2019.

VIII. Guohai,L., Yukun,S.,Yue, S., Hao,Z., Wenxiang,Z.,“Dynamic Decoupling Control of Bearing-less Switched Reluctance Motors Based on Neural Network Inverse System.,”World Journal of Modeling and Simulation, Vol.3, no.1,pp.66-72,2007.

IX. G. Schweitzer, “Active magnetic bearings—chances and limitations,” in Proc. IFTOMM 6thInt. Conf. Rotor Dyn., vol. 1, 2002.

X. Jaeyoon Wang, Sangjo Kim and Naksoo Kim, “A Study on the Bearingless Switched Reluctance Motor with Improved Motor Performance ,” Journal of Mechanical Science and Technology., vol. 27, no. 5, pp. 1407-1414, 2013.

XI. Jianbo Sun, Jianbo Sun and Liming Liu, “Modelling and Control of Bearingless Switched Reluctance Motor based on ArtificialNeuralNetwork”,in Proc. 32nd IEEE IECON, pp. 1638–1643, 2005.

XII. Lee, D., and Ahn, J., “Design and Analysis of Hybrid Stator Bearing-less SRM” Journal of Electrical Engineering & Technology vol. 6, no. 1, pp. 94~103, 2011.

XIII. Lin, F.,Yang, S., “Self-Bearing Control Of ASwitched Reluctance Motor Using Sinusoidal Currents,” Power Electronics, IEEE Transactions on , vol.22, no.6, pp.2518-2526, Nov. 2007.

XIV. Liu, Zeyuan, Xiaoyuan Chen, and Xin Cao. “Decoupling principle, model and rotor design of a novel 12/4 bearingless switched reluctance motor.” Electrical Machines and Systems (ICEMS), 18thInternational Conference on. IEEE, 2015.

XV. M. A. Jabbar, A. M. Khambadkone and Q. Liu, “Design and analysis of exterior and interior type high-speed permanent magnet motors”, Power Electronics Machines and DriveConference Publication, pp. 404-408, 2001.

XVI. M. Takemoto, A. Chiba and T. Fukao, “A Method of Determining the Advanced Angle of Square-Wave Currents in a Bearingless Switched Reluctance Motor,” IEEE Trans. Ind. Appl., vol. 37, no. 6, pp. 1702-1709, 2001.

XVII. M Takemoto, “A Design and Characteristics of Switched Reluctance Type Bearing-less Motors,” Fourth International Symposium on Magnetic Suspension Technology, pp. 49-63, May 01, 1998.

XVIII. M. Takemoto, I Suzuki, A. Chiba, T. Fukao, and M.A.Rahman, “Improved Analysis Of A Bearing-less Switched Reluctance Motor” IEEE Transactions on Industry Applications,vol. 37, no. 1, 2001.

XIX. Q. Liu, M. A. Jabbar and A. M. Khambadkone, “Design optimization of wide-speed permanent magnet synchronous motor”, Power Electronics Machines and Drive Conference, pp. 404-408, 2002.

XX. S. Chaithanya, Reddy, V. N. B., &Kiranmayi, R.“Performance evaluation of PMSG-based LFAC system for offshore wind power”. International Journal of Ambient Energy, pp. 1-6, 2019.

XXI. Sun, Qin, Xin Cao, and Zhiquan Deng. “Direct torque and force control for dual-winding bearingless switched reluctance motor.” Electrical Machines and Systems (ICEMS), 2014 17th International Conference on. IEEE, 2014.

XXII. S.Chaithanya, Reddy, V.N.B. and Kiranmayi, R., “Modeling & analysis of grid-tied PMA based offshore wind energy system using PSCAD/EMTDC”. Ain Shams Engineering Journal, vol. 10, no. 2, pp.411-417, 2019.

XXIII. Takemoto, M., Chiba, A.,Fukao, T,”A Method Of Determining Advanced Angle Of Square-Wave Currents In Bearing-less Switched Reluctance Motors,” IEEE Industry Applications Conference, Conference Record of the 2000, Vol. 1, pp.241- 248, 2000.

XXIV. T.Halmeaho, T. Harnooja, A. Manninen, J. Pippuri, “Magnetic bearing as Switched Reluctance Motor feasibility study for bearinglessSwitchedReluctance Motor”, IEEE International Electric Machines & Drives Conference (IEMDC), 2013.

XXV. Wang, H.; Wang, Y.; Liu, X.; Ahn, J.W., “Design Of Novel Bearing-less Switched Reluctance Motor,” Electric Power – Applications, IET , vol.6, no.2, pp.73-81, February 2012.

XXVI. W. N. Fu, X. Zhang, and S. L. Ho, “A Fast Algorithm for Frequency Domain Solutions of Electromagnetic Field Computation of Electric Devices Using Time-Domain Finite-Element Method,” IEEE Transactions on Magnetics, vol. 49, no. 1, pp. 530-535, 2013.

XXVII. W.K.S. Khoo, “Bridge Configured Winding For Poly-phase Self- Bearing Machines,” IEEE Transactions onMagnetics, vol.41, no.4, pp. 1289- 1295, April 2005.

XXVIII. X. Cao, Z. Deng, G. Yang and X. Wang, “Independent Control of Average Torque and Radial Force in Bearingless Switched-Reluctance Motors with Hybrid Excitations,” IEEE Trans. Power Electron.,vol. 24, no. 5, pp. 1376-1385, 2009.

XXIX. Xin Cao, J. Zhou, C. Liu, and Z. Deng, “Advanced Control Method for a Single Winding BearinglessSwitched Reluctance Motor to Reduce Torque Ripple and Radial Displacement,” IEEE Trans. Energy Conversion., vol. 32, no. 4, pp. 1533–1543, 2017.

XXX. Xu,Z., Lee,D., Zhang,F., Ahn,J.,”Hybrid Pole Type Bearing-less Switched Reluctance Motor With Short Flux Path,” Electrical Machines and Systems (ICEMS), 2011 International Conference, pp.1-6, 20-23 Aug. 2011.

XXXI. Z. Guan, D.-H. Lee, J.-W. Ahn and F. Zhang, “A Compensation Strategy of Suspending Force in Hybrid Type Stator Pole Bearingless Switched Reluctance Motor,” in Proc. International Conference on Electrical Machines and Systems (ICEMS), 2011.

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Abstract:

Suppose  assume that complex numbers  such thatas  well as well as  Where The conditions are satisfactory for analytic function Cauchy’s Riemann equations are satisfied for the functions Here observe that the most excellent  subordinate and best leading. The applications are applied of those results are equivalent;ask as well as results to generalize and number of known results. By using a method based upon the Briot-Bouquet differential subordination, we prove several subordination results involving starlike and convex functions of complex order. Some special cases and consequences of the main subordination results are also indicated [I]. The main object of the present sequel to the aforementioned works is to apply a method based upon the Briot-Bouquet differential subordination in order to derive several subordination results involving starlike and convex functions of complex order[II],[III]. We also indicate some interesting special cases and consequences of our main subordination results.

Keywords:

convex function,Star like function function,Differential subordination,Differential super ordination,

Refference:

I. Ch. Pommerenke, Univalent Functions, Vanderhoeck and Ruprecht, GÄotingen, 1975.
II. H. M. Srivastava, A. A. Attiya, Some applications of di®erential subordination, Appl. Math. Letters, 20, 2007, 1142-1147.
III. J. L. Li, S. Owa, Sufficient conditions for starlikeness, Indian J. Pure appl.Math., 33(3), 2002, 313-318.
IV. K. S. Padmanabhan, On Su±cient conditions for starlikeness, Indian J.pure appl. Math., 32(4), 2001, 543-550.Di®erential subordination and superordination theorems . . . 157
V. L. Brickman, φ-like functions. I, Bull. Amer. Math.Soc., 79,1973, 555-558.
VI. M. S. Robertson, Certain classes of starlike functions, Michigan Math.J.,32, 1985, 135-140.
VII. M. Ali Rosihan , V. Ravichandran, M. Hussain Khan, K. G. Subramanian, Differential Sandwich Theorems for Certain Analytic Functions, Far East J. Math. Sci. 15(1), 2004, 87-94.
VIII. M. Obradovic, N. Tuneski, On the Starlike Criteria defined by Silverman, ZeszytyNauk. Politech. Rzeszowskiej. Mat., 181(24), 2000, 59-64.
IX. M. Obradovic, S. B. Joshi, I. Jovanovic, On Certain su±cient Conditions for Starlikeness and Convexity, Indian J. pure appl. Math., 29(3), 1998, 271-275.
X. N. E. Cho, J.Kim, On a sufficient Condition and as Angular Estimation for φ-likefunctions , Taiwan. J. Math., 2(4), 1998, 397-403.
XI. N. Tuneski, On the quotient of the representations of convexity and starlikeness, Math. Nachr., 248-249(1), 2003, 200-203.
XII. N. Tuneski, On a criteria for starlikeness of analytic functions, Integral Transforms and Special Functions, 14(3), 2003, 263-270.
XIII. N. Tuneski, On certain sufficient conditions for starlikeness, Internat.J.Math. & Math. Sci., 23(8), 2000, 521-527.
XIV. N. Tuneski, On Some Simple Sufficient Conditions for Univalence, MathematicaBohemica, 126(1), 2001, 229-236.
XV. St. Ruscheweyh, A subordination theorem for Á-like functions, J. London Math. Soc., 2(13), 1976, 275-280.
XVI. S. S. Miller, P.T. Mocanu, Differential Superordinations: Theory and Applications, Series on monographs and textbooks in pure and applied mathematics ( No. 225 ), Marcel Dekker, New York and Basel, 2000.
XVII. S. S. Miller, P. T. Mocanu, Di®erential subordination and Univalent functions, Michigan Math. J. 28, 1981, 157-171.
XVIII. T. N. Shanmugam, S. Sivasubramanian, M. Darus, Subordination and Superordination Results for Á-like Functions, J. Inequal. Pure and Appl. Math., 8, 2007, 1, 1-6.158 S. Singh, S. Gupta, S. Singh
XIX. T. Bulboaca, Classes of First-order Differential Superordinations, Demostratio Math., 35 (2), 2002, 287-292.
XX. T. Bulboaca, T.Tuneski, New Criteria for starlikeness and Strongly Starlikeness, Mathematica( Cluj
XXI. V. Ravichandran, Certain applications of ¯rst order di®erential subordination, Far East J. Math. Sci., 12(1), 2004, 41-51.
XXII. V. Ravichandran, N. Magesh, R. Rajalakshmi, On Certain Applications of Di®erential Subordinations for Á-like Functions, Tamkang J. Math.,36(2), 2005, 137-142.
XXIII. V. Ravichandran, C. Selvaraj, R. Rajalaksmi, Su±cient Conditions for Starlike Functions of Order ®, J. Inequal. Pure and Appl. Math. 3(5), 2002, 81, 1-6.
XXIV. V. Ravichandran, M. Darus, On a criteria for starlikeness, International Math. J., 4(2), 2003, 119-125.
XXV. V. Singh, N. Tuneski, On a Criteria for Starlikeness and Convexity of Analytic Functions, ActaMathematicaScientia, 24, 2004, 597-602.
XXVI. V. Singh, On some criteria for univalence and starlikeness, Indian J.Pure. Appl. Math. 34(4), 2003, 569-577.

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Abstract:

The significance of prosthesis and amputation have been presented, then the concept of under-actuation mechanism has been demonstrated, followed by an optimization procedure to get equal force distribution on a Coupling and Self-Adaptive three phalanxes prosthetic finger (iso-forced finger)Developing kinematic-mathematical model to get the required relations, to derive the objective function, then using multi-variable optimization with constraints, to determine the state of iso-forced finger. Discussing the results of the optimization and finding the average of the lengths of each link, finally explaining the stability of the new configuration, and the advantages of the new methodology.

Keywords:

Refference:

I. A NOTE ON GRASHOF’S THEOREM. Wen-Tung Chang*, Chen-Chou Lin**, and Long-Iong Wu***. 2005, Journal of Marine Science and Technology, pp. 239-248.
II. Design and Optimization of a Robotic Finger. Qiang ZHAN, Rui YANG. Beihang University , Beijing, China, 100191 : IEEE, 2011. 2011 6th IEEE Conference on Industrial Electronics and Applications. pp. 1128 – 1133.
III. Effects of amputation on body image and well-being. Mugo, Nellie Njambi. 2010, turku university of applied sciences, pp. 1-2.
IV. Maduri, Prathusha and Akhondi, Hossein. Upper Limb Amputation. NCBI. [Online] may 18, 2019. https://www.ncbi.nlm.nih.gov/books/NBK540962/.
V. mathworks. fmincon. mathworks. [Online] 2019. https://ch.mathworks.com/help/optim/ug/fmincon.html.
VI. Mechanical Design and Development of the. GK Jonesa, R Stopforthb. 2016, R & D Journal of the South African Institution of Mechanical Engineering, pp. 23-34.
VII. On the Design of Underactuated Finger Mechanisms for Robotic Hands, Advances in mechatronics. Martinez-Alfaro, Prof. Horacio. 2011, DiMSAT, University of Cassino,Italy, pp. 131-133.
VIII. Solutions, Advanced Amputee. Amputee Statistics You Ought to Know. Advanced Amputee Solutions. [Online] 2012 . https://advancedamputees.com/amputee-statistics-you-ought-know.
IX. The Freudenstein Equation-Design of Four-Link Mechanisms. Ghosal, Ashitava. 2010, Indian Institute of Science, pp. 699-710.
X. Topology and Analysis of Three-Phalanx COSA Finger. Zhang, Deyang Zhao and Wenzeng. Verlag Berlin Heidelberg : H. Liu, 2010. Springer ICIRA. pp. 465 – 476.
XI. William C. Shiel Jr., MD, FACP, FACR. prosthetic definition. MedicinNet. [Online] 11 12, 2018. https://www.medicinenet.com/disease_prevention_in_women_pictures_slideshow/article.htm.

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Abstract:

The effect of using lubricant oil additives on the dynamic behaviour of rotor bearing system has been studied in this paper; the modified lubricant oil viscosity relation due to adding additives to oil has been used in the Reynolds equation to calculate the lubricant oil pressure and reaction forces and the calculate dynamic coefficients of journal bearings. The response of rotor was determined analytical and verified the results with ANSYS software. The results show that the viscosity ratio is increasing with increase of aggregate and volume fraction. The lubricant oil pressure is increasing with increase of nanoparticles aggregate and volume fraction up to 130^o bearing angular position then decreasing with increase of aggregate and volume fraction. The dynamic response is generally decreasing with increase of aggregate and volume fraction

Keywords:

Rotor,Dynamic Response,Nanoparticles Additives,Dynamic Coefficients,ANSYS,

Refference:

I. Ashutosh Kumar and and Sashindra K Kakoty, “Effect of couple-stress parameter on the steady state performance parameters of two-lobe journal bearing operating with non- Newtonian lubricant”, ScienceDirect, Elsevier, 2018.

II. Ashutosh Kumar and SK Kakoty, “Effect of couple stress parameter on steady-state and dynamic characteristics of three-lobe journal bearing operating on TiO2 Nanolubricants”, Journal of Engineering Tribology 1994-1996 (vols 208-210), DOI: 10.1177/1350650119866028, 2019.

III. Bassim A. Abass, Amal K. A., “Effect of nano-lubrication on the dynamic coefficients of worn journal bearing”, International Journal of Energy and Environment, Issue on applied mechanics research, Volume 8, Issue 6, pp.557-566, 2017.

IV. Binu K.G, Shenoy B.S, Rao D.S and Pai R., “A variable Viscosity Approach for the Evaluation of load Carrying Capacity of oil lubricated Journal Bearing with TiO2 Nanoparticles as lubricant Additives”, Procedia Materials Science 6, 1051 – 1067, ScienceDirect, Elsevier Ltd. 2014.

V. Binu, K. G, Yathish, K, Shenoy, B. S, Rao, D. S.and Pai, R, “Dynamic Performance Characteristics of Finite Journal Bearings Operating on TiO2 based Nanolubricants”, Pertanika, Journal of Science & Technol. 25 (3): 963 – 976, ISSN: 0128-7680, University Putra Malaysia Press, 2017.

VI. Benyebka Bou-Saïd, Hamid Boucherit and Mustapha Lahmar, “On the influence of particle concentration in a lubricant and its rheological properties on the bearing behavior”, Mechanics & Industry, EDP Sciences, DOI: 10.1051/meca/2012006, 2012.
VII. Haisheng Chen, Yulong Ding and Chunqing Tan, “Rheological behaviour of nanofluids”, New Journal of Physics 9, 367, Online at http://www.njp.org/, doi:10.1088/1367-2630/9/10/367, 2007.

VIII. Josua P. Meyer, Saheed A. Adio, Mohsen Sharifpur and Paul N. Nwosu, “The viscosity of Nanofluids: a review of the theoretical, empirical and numerical models”, Nanofluids Research Laboratory, Thermofluids Research Group, Department of Mechanical and Aeronautical Engineering, University of Pretoria, Pretoria 0002, South Africa.2016.

IX. K. Yathish and K. G. Binu, “Static Characteristics of Two-Axial Groove Journal Bearing Operating on TiO2 Nanolubricants Using a Temperature Dependent Viscosity Model”, Journal of Mechanical Engineering and Automation, 7(5): 150-154 DOI: 10.5923/j.jmea.20170705.05, 2017.

X. K. Yathish, K. G. Binu, B. S. Shenoy, D. S. Rao and R. Pai, “Study of TiO2 Nanoparticles as Lubricant Additive in Two-Axial Groove Journal Bearing”, World Academy of Science, Engineering and Technology International Journal of Aerospace and Mechanical Engineering, Vol: 8, No: 11, 2014.

XI. Luis San Andres, “kinematics of journal bearings”, notes 3, online https://rotorlab.tamu.edu/me626/Notes_pdf/Notes03%20Kinematics%20JBs.pdf , 2012.

XII. Maleki Varnoosfaderani, Dashti Rahmatabadi A. and Dehghan A.A, “Analysis of Static Performance of Noncircular Lobed Journal Bearings with Lubricants Containing TiO2 Nanoparticles Using Couple Stress Fluid Model”, ISSN: 2476-6909; Modares Mechanical Engineering;19(1):151-157, Copyright TMU Press, 2019

XIII. Mohammad Yaghoub Abdollahzadeh Jamalabadi, “Effects of Nanoparticle Enhanced Lubricant Films in Dynamic Properties of Plain Journal Bearings at High Reynolds Numbers”, International Journal of Engineering and Technologies, ISSN: 2297-623X, Vol. 13, pp 1-23 doi:10.18052/www.scipress.com/IJET.13.1, SciPress Ltd, Switzerland, 2017.

XIV. S.R. Suryawanshi and J.T. Pattiwar, “Effect of TiO2 Nanoparticle Blended with Lubricating Oil on the Tribological Performance of the Journal Bearing”, Tribology in Industry, Vol. 40, No. 3, p; 370-391, DOI: 10.24874/ti.2018.40.03.04, 2018.

XV. Tariq Mohammad Hammza, “Dynamic analysis and vibration measurements of cracked rotor systems with worn journal bearing”, A Thesis Submitted to the College of Engineering/ University of Baghdad in Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy in Mechanical Engineering/Applied Mechanics, 2016.

XVI. Tushar P. Gundarneeya, “Theoretical Analysis of Journal Bearing With Nanolubricants”, International Journal of Scientific Research in Science, Engineering and Technology, IJSRSET | Volume 1 | Issue 3 | Print ISSN: 2395-1990 | Online ISSN: 2394-4099, 2015.

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Abstract:

In the present world scenario, the Distributed Energy Resources (DERs) were getting importance because of their vital importance to plan out a well-defined scheme of Transmission Cost Allocation to the power system. This study focuses on the allocation of optimal and reliable costs for each generating unit for IEEE 30-bus system. This results in economic power generation in all the units of the distributed Energy Resources (DER). To obtain optimal and reliable cost, a cascaded algorithm combining Lightning Search Algorithm (LSA) and Particle Swarm Optimization (PSO) is employed. The LSA obtains the optimal generation unit whereas the PSO determines the optimal cost of generation. Analysis of the power flow was done using the method of Newton Raphson’s method. Line Outage Distribution Factor, Transmission Reliability Margin, Generation cost and load cost are calculated before and after the line outage. The costvalues obtained for the proposed approach of Transmission Cost Allocation are validated with the existing work of Transmission Cost Allocation. The proposed system results in optimal and reliable cost, with economic power generation when compared to the existing method.

Keywords:

Transmission Cost Allocation,Lightning Search Algorithm,Particle Swarm Optimization,Distributed Energy Resources,Economic Power Generation,

Refference:

I. Bando, S., Watanabe, H., Asano, H., &Tsujita, S. (2009). Impact of various characteristics of electricity and heat demand on the optimal configuration of a microgrid. Electrical Engineering in Japan, 169(2), 6-13.
II. Bando, S., Watanabe, H., Asano, H., &Tsujita, S. (2009). Impact of various characteristics of electricity and heat demand on the optimal configuration of a microgrid. Electrical Engineering in Japan, 169(2), 6-13
III. Basu, A. K., Bhattacharya, A., Chowdhury, S., &Chowdhury, S. P. (2011). Planned scheduling for economic power sharing in a CHP-based micro-grid. IEEE Transactions on Power systems, 27(1), 30-38
IV. Basu, M. (2011). Economic environmental dispatch using multi- objective differential evolution. Applied soft computing, 11(2), 2845- 2853.
V. Duman, S., Güvenç, U., Sönmez, Y., &Yörükeren, N. (2012). Optimal power flow using a gravitational search algorithm. Energy Conversion and Management, 59, 86-95
VI. El Ela, A. A., Abido, M. A., &Spea, S. R. (2010). Optimal power flow using differential evolution algorithm. Electric Power System Research, 80(7), 878- 885.
VII. Galiana, F. D., Kockar, I., & Franco, P. C. (2002). Combined pool/bilateral dispatch. I. Performance of trading strategies. IEEE Transactions on Power Systems, 17(1), 92-99.
VIII. Justo, J. J., Mwasilu, F., Lee, J., & Jung, J. W. (2013). AC-microgrids versus DC-microgrids with distributed energy resources: A review. Renewable and sustainable energy reviews, 24, 387-405.
IX. Li, F., &Tolley, D. L. (2007). Long-run incremental cost pricing based on unused capacity. IEEE Transactions on Power Systems, 22(4), 1683-1689.
X. Monsef, H., &Jaefari, M. (2009). Transmission cost allocation based on the use of reliability margin under contingency conditions. IET generation, transmission & distribution, 3(6), 574-585.
XI. Naderi, E., Seifi, H., &Sepasian, M. S. (2012). A dynamic approach for distribution system planning considering distributed generation. IEEE Transactions on Power Delivery, 27(3), 1313-1322.
XII. Pan, J., Teklu, Y., Rahman, S., & Jun, K. (2000). Review of usage-based transmission cost allocation methods under open access. IEEE transactions on power systems, 15(4), 1218-1224.
XIII. Padhy, N. P., &Kumari, L. (2004, April). Evolutionary programming based economic power dispatch solutions with independent power producers. In 2004 IEEE International Conference on Electric Utility Deregulation, Restructuring and Power Technologies. Proceedings (Vol. 1, pp. 172-177). IEEE.
XIV. Pipattanasomporn, M., Willingham, M., &Rahman, S. (2005). Implications of on-site distributed generation for commercial/industrial facilities. IEEE Transactions on Power Systems, 20(1), 206-212.
XV. S. G. Smitha, P. V. Satyaramesh, P. Sujatha. “Usage Based Transmission Cost Allocation to Wheeling Transactions in Bilateral Markets”, Journal of The Institution of Engineers (India): Series B, 28th July 2018
XVI. Soares, T., Pereira, F., Morais, H., & Vale, Z. (2015). Cost allocation model for distribution networks considering high penetration of distributed energy resources. Electric Power Systems Research, 124, 120- 132.
XVII. Wang, J., Zhong, H., Xia, Q., & Kang, C. (2017). Optimal planning strategy for distributed energy resources considering structural transmission cost allocation. IEEE Transactions on Smart Grid, 9(5), 5236-5248.
XVIII. Wang, J., Zhong, H., Tang, W., Rajagopal, R., Xia, Q., & Kang, C. (2018). Tri-level expansion planning for transmission networks and distributed energy resources considering transmission cost allocation. IEEE Transactions on Sustainable Energy, 9(4), 1844-1856.
XIX. Yang, Z., Zhong, H., Xia, Q., Kang, C., Chen, T., & Li, Y. (2015). structural transmission cost allocation scheme based on capacity usage identification. IEEE Transactions on Power Systems, 31(4), 2876-2884

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Abstract:

Adaptive antenna systems use advanced adaptive signal processing algorithms to generate main beams in the direction of interest and steer the nulls in the desired direction to reduce interferences from incoming signals. These algorithms are implemented in various applications such as channel equalization, object tracking, system identification and also in Radar systems which uses phased array antenna setup. In phased array radar systems, the noise and interference mitigation is a challenging task. The optimization of these algorithms to generate signals at a faster rate, steering nulls in the unwanted directions thereby improving the signal qualityis  very crucial. Few major factors which effect the Adaptive beam forming are complexity, rate of convergence, placing deeper nulls. A novel algorithm is proposed namely Normalized Leaky Variable Step Size-LMS algorithm. The proposed algorithm is applied to a uniform linear array of 8, 12, 16 and 32 elements configurations for different test cases. To demonstrate the efficiency of the proposed algorithm comparison is made with the traditional Least Mean Square, Variable Step Size LMS, and Leaky LMS algorithms. The results show the rate of convergence performance is substantially improved by more than 50% for the proposed algorithm than the existing ones along with providing deeper nulls for interference suppression.

Keywords:

Least Mean Square (LMS) algorithm,Variable Step Size LMS algorithm,Leaky LMS algorithm,Null depth,Rate of Convergence,

Refference:

I. A. P. Rao and N. V. S. N. Sarma, “Performance analysis of kernel based adaptive beamforming for smart antenna systems,” IEEE MTT-S Int. Microw. RF Conf. 2014, IMaRC 2014 – Collocated with InteractionalSymp. Microwaves, ISM 2014, no. 3, pp. 262–265, 2015.
II. C. A. Balanis, Antenna Theory, vol. 3rd. 2005.
III. D. T. M. Slock, “On the Convergence Behavior of the LMS and the Normalized LMS Algorithms,” IEEE Trans. Signal Process., vol. 41, no. 9, pp. 2811–2825, 1993.
IV. E. Eweda, “Transient performance degradation of the LMS, RLS, sign, signed regressor, and sign-sign algorithms with data correlation,” IEEE Trans. Circuits Syst. II Analog Digit. Signal Process, vol. 46, no. 8, pp. 1055–1063, 1999.
V. F. Gross, Smart Antennas for Wireless Communications with MATLAB, Second. McGraw Hill, 2015.
VI. F. Alan J, Adaptive Antennas and Phased Arrays. 2008.
VII. H. Singh and R. M. Jha, “Algorithm for suppression of wideband probing in adaptive array with multiple desired signals,” Def. Sci. J., vol. 61, no. 4, pp. 325–330, 2011.
VIII. J. Liu, H. Li, and B. Himed, “Joint optimization of transmit and receive beamforming in active arrays,” IEEE Signal Process. Lett., vol. 21, no. 1, pp. 39–42, 2014.
IX. L. C. Godara, Smart Antennas. CRC Press Taylor and Francis group, 2004.
X. M. C. Wicks et al., SMART ANTENNAS. John Wiley & Sons, Inc., 2003.
XI. M. Sowjanya, A. K. Sahoo, and S. Kumar, “Distributed Incremental Leaky LMS,” 2015 Int. Conf. Commun. Signal Process. ICCSP 2015, pp. 1753–1757, 2015.
XII. M. Kamenetsky and B. Widrow, “A variable leaky LMS adaptive algorithm,” vol. 1, no. 650, pp. 125–128, 2005.
XIII. N. H. Noordin, T. Arslan, B. Flynn, and A. T. Erdogan, “Adaptive Beamforming Algorithms for 3-faceted Array Antenna,” 2014.
XIV. N. H. Noordin and Z. Khalidin, “Beamforming algorithms for adaptive array antenna,” 2014 2nd Int. Conf. Electron. Des. ICED 2014, pp. 5–9, 2011.
XV. P. R. Jeripotula and B. RajendraNaik, “Performance Analysis of Adaptive Beamforming Algorithms,” 2018 Int. Conf. Circuits Syst. Digit. Enterp. Technol. ICCSDET 2018, pp. 1–4, 2018.
XVI. P. Thapa, M. A. Jeong, and S. R. Lee, “Performance analysis of LMS adaptive beam forming algorithms for smart antennas,” Inf., vol. 18, no. 10, pp. 4175–4181, 2015.
XVII. P. R. Jeripotula, C. A. Kumar, and B. R. Naik, “Modified Leaky LMS Algorithm for Adaptive Beamforming,” Int. J. Eng. Appl. Manag. Sci. Paradig., vol. 54, no. 3, pp. 212–218, 2019.
XVIII. R. Irfan, H. urRasheed, W. A. Toor, and M. Ashraf, “Performance analysis of adaptive algorithms for space-time adaptive processor (STAP) in phased array radar,” J. Eng., vol. 2019, no. Irc 2018, pp. 6313–6317, 2019.
XIX. R. M. Shubair and A. Hakam, “Adaptive beamforming using variable step-size LMS algorithm with novel ULA array configuration,” Int. Conf. Commun. Technol. Proceedings, ICCT, pp. 650–654, 2013.
XX. S. Yong-jiang, Q. Dong-dong, R. Jia-ren, Z. Peng, and D. R. Becerra, “Research on Adaptive Beamforming Algorithm,” no. 10, pp. 2–4, 2012.
XXI. S. Edition, Phased Array Antenna Handbook, vol. 19, no. 2. 2014.
XXII. S. A. Aghdam, J. Bagby, and R. J. Pia, “Adaptive antenna array beamforming using variable-step-size normalized least mean square,” 2016 17th Int. Symp. Antenna Technol. Appl. Electromagn. ANTEM 2016, pp. 5–9, 2016.
XXIII. S. Razia, T. Hossain, and M. A. Matin, “Performance analysis of adaptive beamforming algorithm for smart antenna system,” 2012 Int. Conf. Informatics, Electron. Vision, ICIEV 2012, pp. 946–949, 2012.

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Abstract:

The vehicular ad hoc network (VANET), as a subset of the Mobile Case Network (MANET), provides the necessary platform for communication between vehicles and roadside equipment. One of the most important applications of the VANET network is to provide the necessary security for the passengers of vehicles and to improve the efficiency of resources in order to optimize the traffic flow. Therefore, providing quality of service (QoS) in this network will play an important role in the accuracy of intelligent transport system operation. In this paper, a new solution to improve the quality of service in VANET networks is presented. In the proposed method, the Cuckoo's search multi-objective optimization algorithm (MOCS) is used to optimize MAC layer parameters. In this method, the criteria of throughput, latency, and packet loss are considered as optimization objectives. The evaluation results of the proposed method show a 68% reduction in the time required to discover the optimal system parameters compared to the exhaustive search algorithm.

Keywords:

Ehicular Ad Hoc Network,Service Quality,Multi-Objective Optimization,Cuckoo Search,

Refference:

I. Alam, S., Sulistyo, S., Mustika, I. W., & Adrian, R. (2019, October). Review of Potential Methods for Handover Decision in V2V VANET. In 2019 International Conference on Computer Science, Information Technology, and Electrical Engineering (ICOMITEE) (pp. 237-243). IEEE.
II. Almohammedi, A. A., Noordin, N. K., Sali, A., Hashim, F., Jabbar, W. A., &Saeed, S. (2019). Modeling and analysis of IEEE 1609.4 MAC in the presence of error-prone channels. International Journal of Electrical and Computer Engineering (IJECE), 9(5), 3531-3541.
III. Brendha, R., &Prakash, V. S. J. (2017, January). A survey on routing protocols for vehicular Ad Hoc networks. In 2017 4th International Conference on Advanced Computing and Communication Systems (ICACCS) (pp. 1-7). IEEE.
IV. Hande, R. S., &Muddana, A. (2016, October). Comprehensive survey on clustering-based efficient data dissemination algorithms for VANET. In 2016 International Conference on Signal Processing, Communication, Power and Embedded System (SCOPES) (pp. 629-632). IEEE.
V. Khan, U. A., & Lee, S. S. (2019). Multi-layer problems and solutions in vanets: A review. Electronics, 8(2), 204.
VI. Lim, J. M. Y., Chang, Y. C., Loo, J., & Alias, M. Y. (2015). Improving VANET performance with heuristic and adaptive fuzzy logic scheme. Wireless Personal Communications, 83(3), 1779-1800.
VII. Ramanathan, R. (2018). An Empirical study on MAC layer in IEEE 802.11 p/WAVE based Vehicular Ad hoc Networks. Procedia computer science, 143, 720-727.
VIII. Rawat, D. B., Popescu, D. C., Yan, G., &Olariu, S. (2011). Enhancing VANET performance by joint adaptation of transmission power and contention window size. IEEE Transactions on Parallel and Distributed Systems, 22(9), 1528-1535.
IX. Shankar, K., Ilayaraja, M., Kumar, K. S., &Perumal, E. (2020). Mobility and QoS analysis in VANET using NMP with SALP optimization models. In Emerging Technologies for Connected Internet of Vehicles and Intelligent Transportation System Networks (pp. 15-26). Springer, Cham.
X. Uttarwar, V., Choudhari, E., Deshpande, P., &Chaudhary, P. (2019). A Survey To Improve Quality Of Service For Mobile Ad Hoc Networks. International Journal of Scientific Research And Education, 6(8).
XI. Wahid, I., Ikram, A. A., Ahmad, M., Ali, S., & Ali, A. (2018). State of the art routing protocols in VANETs: A review. Procedia computer science, 130, 689-694.

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Abstract:

Wind energy is increasingly used as renewable energy worldwide. According to grid codes, wind turbines (WT) should essentially be coupled to grid throughout as well as following fault and source reactive power toward the grid with an objective of maintaining grid voltage. Doubly fed induction generator (DFIG), a wind turbine type enabling speed adjustment, is getting established currently in wind industry. Many DFIGs employ crowbar-based system to shelter the converter at the rotor side during disturbed and/or distorted grid voltage circumstances. Although it helps in protecting the generator, it does not warrant an appropriate grid support. This shortcoming led to designing anew coordinated controller that excludes or even cancels the need of a crowbar. This paper proposes fault confrontation controller (FCC) design to augment the feature -of low voltage ride through (LVRT) in this turbine. Considering the system’s nonlinear nature, an attractive FCC was constructed using computational intelligence (CI) techniques, namely fuzzy logic, back propagation network (BPN) and adaptive neuron fuzzy inference system (ANFIS).The simulation study demonstrates that the ANFIS system gives the best results for the proposed system.

Keywords:

Doubly Fed Induction Generator,LVRT,ANFIS,Computational Intelligence,

Refference:

I. Abad. G, López. J, Rodríguez. M, Marroyo. L, Iwanski. G. “Doubly Fed Induction Machine: Modeling and Control for Wind Energy Generation Applications,” Wiley-IEEE Press, 2011.
II. A.Causebrook, D. J. Atkinson, and A. G. Jack, “Fault ride-through of large wind farms using series dynamic braking resistors (March 2007),” IEEE Trans. Power Syst., vol. 22, no. 3, pp.966-975, Aug.2007.
III. Chrstian Wessels, Fabian Gebhardt and Friedrich Wilhelm Fuchs. “Fault Ride Through of DFIG Wind Turbine Using a Dynamic Voltage Restorer During Symmetrical and Asymmetrical Grid Faults,”IEEETrans.Power Electron, vol.26,no.3 pp.807-815, March 2011.
IV. Erlich, H. Wrede, and C. Feltes, “Dynamic behavior of DFIG-based wind turbines during grid faults,” in Proc. Power Convers. Conf, Nagoya, Japan, Apr. 2-5, 2007.
V. GWEC,Global Wind 2014 Report, Technical Report, The Global Wind Energy Council, 2015, Available: http://www.gwec.net/publications/ (online).
VI. http://www.cwet.tn.nic.in/html/information_wcw.html (accessed August 2018)

VII. Hu S, LinX,KangY,ZouX.An improved low-voltage ride through control strategy of doubly fed induction generator during grid faults. IEEE Trans Power Electron 2011;26(12):3653–65.

VIII. Jadhav HT, Roy R. A comprehensive review on the grid integration of doubly fed induction generator, Electr Power Energy Syst 2013:49:8-18.

IX. J. Yang, John E. Fletcher, and J. O’Reilly “A Series-Dynamic-Resistor-Based Converter Protection Scheme for Doubly-Fed Induction Generator During Various Fault Conditions” IEEE Trans. Energy. Conv, vol. 25, NO. 2, June 2010.
X. K. Protsenko and D. Xu, “Modeling and control of brushless doubly-fed induction generators in wind energy applications,” IEEE Trans. Power Electron., vol. 23, no. 3, pp. 1191–1197, May 2008.
XI. M. Liserre, R. Cardenas, M. Molinas, and J. Rodriguez, “Overview of multi-MW wind turbines and wind parks,” IEEE trans.Ind.Electron.,vol.58,no.4,pp.1081-1095,Apr.2011.
XII. M. Tsili and S. Papathanassiou, “A review of grid code Technical requirements for wind farms,” IET Renew.PowerGener., vol.3,no.3,pp.308-332,Sep.2009.
XIII. Noureldeem O. Behavior of DFIG wind turbines with crowbar protection under short circuit. Int J ElectrComputSci, IJECS-IJENS 2012;12(3):32–7.
XIV. Pannel G, Atkinson DJ, Zahawi B. Minimum-threshold crowbar for a fault-ride- through grid-code-compliant DFIG windturbine, IEEETrans Energy Convers 2010;25(3):750–9.
XV. QiaoW, Venayagamoorthy GK, Harley RG. Real-time implementation of a STATCOM on a wind farm equipped with doubly fed induction generators. IEEE TransIndAppl2009; 45(1):98–107.
XVI. Z.Chen, J.M.Guerrero, and F.Blaabjerg, “A review of the state of the art of power electronics for wind turbines,” IEEE Trans.Power Electron., vol.24, no.8,pp.1859-1875, Aug 2009.

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