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ANALYSIS OF RACETRACK RESONATOR USING SIGNAL PROCESSING TECHNIQUE

Authors:

Sabitabrata Dey

DOI NO:

https://doi.org/10.26782/jmcms.2022.02.00001

Abstract:

Optical double racetrack resonator (ODRR) and optical quadruple racetrack resonator (OQRR) made of Silicon-on-insulator (SOI) with their effective refractive indices changing with respect to frequency have been analyzed for obtaining optical filter with wider ranges of free spectral range (FSR). FSR expansion is based on the Vernier principle. Delay line signal processing in Z- domain and Mason’s gain formula is being used for analyzing these ODRR and OQRR. A free spectral range of 4.87THz is obtained for the drop port. Further, the change in the dimensions of the racetrack resonators produced an enhanced FSR of 5.77THz for ODRR. Combining both this model of ODRR we obtained an OQRR model that produces FSR as much as 6.86THz. Apart from obtaining wider FSR, this architecture exhibits interstitial spurious transmission of almost -50dB with negligible resonance loss. Group delay, dispersion characteristics, and finesse have also been determined for the architecture.

Keywords:

Racetrack resonator,Mason’s gain formula,free spectral range,Vernier principle,Resonance loss,Group delay,Dispersion,

Refference:

I. A. Wirth L, M.G da Silva, D.M.C Neves, A.S.B Sombra, “Nanophotonicgraphene-basedracetrack- resonatoradd/drop filter”, Optics Communications, 366(2016) 210-220, Elsevier.
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VIII. J. T. Robinson, L. Chen, and M. Lipson, “On-chip gas detection in silicon optical microcavities,” Opt. Express, vol. 16, pp. 4296–4301, March 2008.
IX. Landobasa Y.M. Tobing, Dumon Pieter, “Fundamental principles of operation and notes on fabrication of photonic microresonators, Photonic Microring Research and Application”, 156, Springer, 2010 chap-1.
X. Otto Schwelb, „Transmission, Group Delay, and Dispersion in Single-Ring Optical Resonators and Add/Drop Filters- A Tutorial Overview‟, IEEE journal of Lightwave technology 22 (5) (2004).
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XII. R. Boeck, W. Shi, L. Chrostowski, N.A.F Jaeger, “FSR-Eliminated Vernier racetrack Resonators using Grating-Assisted Couplers”, IEEE Photonics journal, DOI: 10.1109/JPHOT.2013.2280342, IEEE.
XIII. Robi Boeck, Nicolas A. F. Jaeger, Nicolas Rouger, Lukas Chrostowski “Series-coupled silicon racetrack resonators and the Vernier effect: theory and measurement” Optics Express (2010). OCIS codes: (130.0130) Integrated optics; (130.7408) Wavelength filtering devices; (230.5750) Resonators.
XIV. Robi Boeck, Jonas Flueckiger, Nicolas Rouger, Lukas Chrostowski ” Experimental performance of DWDM quadruple Vernier racetrack resonators ” OSA (2013) OCIS codes (230.7408) Wavelength filtering devices; (230.5750) Resonators.
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XVI. S. Dey, S. Mandal, “Modeling and analysis of quadruple optical ring resonator performance as optical filter using Vernier principle”, Optics Communications 285 (2012) 439–446.
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XVIII. Yurii A. Vlasov, “Silicon CMOS-Integrated Nano-Photonics for Computer and Data Communications Beyond 100G”, IEEE Communications Magazine, February 2012.

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MINIMIZATION OF TORQUE RIPPLES IN A SWITCHED RELUCTANCE MACHINE BY AN OPTIMAL SWITCHING ANGLE WITHIN A LOW INDUCTANCE REGION

Authors:

Sadam Hussain Lashari, Ali Asghar Memon

DOI NO:

https://doi.org/10.26782/jmcms.2022.02.00002

Abstract:

     Because of its high starting torque and improved performance in a variety of operating situations, the switched reluctance machine (SRM) has emerged as a potential challenger in the family of electrical machines. SRM has been a new addition to the industrial market in recent years. Drawbacks of SRMs are the torque ripple and acoustic noise. This research focuses on the minimization of torque ripples in a Switched Reluctance Machine by optimal switching angle in a low inductance region for a range of speed. For this, simulation is performed with the aim that SRM operation in a low inductance region will take place with low torque ripples. The finding of this research will help in better performance of the machine when operated at the desired angle.

Keywords:

Experimental Validation,Switched Reluctance Machine,Static Torque,Torque Ripples,

Refference:

I. A. A. Memon (2012). Prediction of compound losses in a switched reluctance machine and inverter (Doctoral dissertation) University of Leeds (School of Electronic and Electrical Engineering)
II. Ghousia, Syeda Fatima. “Impact analysis of dwell angles on current shape and torque in switched reluctance motors.” International journal of power electronics and drive systems 2, no. 2 (2012): 160.
III. Xu, Y.Z., Zhong, R., Chen, L. and Lu, S.L., 2012. Analytical method to optimise turn-on angle and turn-off angle for switched reluctance motor drives. IET Electric Power Applications, 6(9), pp.593-603.
IV. Suryadevara, R. and Fernandes, B.G., 2013, December. Control techniques for torque ripple minimization in switched reluctance motor: An overview. In 2013 IEEE 8th International Conference on Industrial and Information Systems (pp. 24-29).
V. Nashed, M.N., Mahmoud, S.M., El-Sherif, M.Z. and Abdel-Aliem, E.S., 2014. Optimum change of switching angles on switched reluctance motor performance. International Journal of Current Engineering and Technology, 4(2).
VI. Wei, Ye, Ma Qishuang, Zhang Poming, and Guo Yangyang. “Torque ripple reduction in switched reluctance motor using a novel torque sharing function.” In 2016 IEEE International Conference on Aircraft Utility Systems (AUS), pp. 177-182. IEEE, 2016.
VII. Memon, Ali Asghar, Syed Asif Ali Shah, Wajiha Shah, Mazhar Hussain Baloch, Ghulam Sarwar Kaloi, and Nayyar Hussain Mirjat. “A Flexible Mathematical Model for Dissimilar Operating Modes of a Switched Reluctance Machine.” IEEE Access 6 (2018): 9643-9649.
VIII. Üstün, O. and Önder, M., 2020. An Improved Torque Sharing Function to Minimize Torque Ripple and Increase Average Torque for Switched Reluctance Motor Drives. Electric Power Components and Systems, 48 (6-7), pp.667-681.
IX. Keerthana, C. and Sundaram, M., 2020, June. State of Art of Control Techniques adopted for Torque Ripple Minimization in Switched Reluctance Motor Drives. In 2020 4th International Conference on Trends in Electronics and Informatics (ICOEI) (48184) (pp. 105-110).
X. Touati, Z., Mahmoud, I. and Khedher, A., 2021, March. Torque Ripple Minimization Approach of a 3-phase Switched Reluctance Motor. In 2021 18th International Multi-Conference on Systems, Signals & Devices (SSD) (pp. 533-538).
XI. Ren, P., Zhu, J., Jing, Z., Guo, Z. and Xu, A., 2021. Minimization of torque ripple in switched reluctance motor based on MPC and TSF. IEEJ Transactions on Electrical and Electronic Engineering, 16(11), pp.1535-1543.

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SPATIAL DYNAMICS IN A PREDATOR-PREY MODEL WITH BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE

Authors:

Dridhiti Roy, Paritosh Bhattacharya

DOI NO:

https://doi.org/10.26782/jmcms.2022.02.00003

Abstract:

The dynamical behavior between predator and prey has been a dominant theme in ecology and mathematical ecology for a long time. In this paper, we look into the dynamics of the Beddington-DeAngelis predator-prey model. We reduce the equations by nondimensionalizing them and combining the spatial factor. Then we incorporate a prey refuge into the system. The model system is then subjected to homogeneous Neumann boundary conditions and the homogeneous equilibria of the full spatial model are being found.

Keywords:

Beddington-DeAngelis functional response,Beddington-DeAngelis predator-prey model,prey refuge,stability,reaction-diffusion predator-prey model,

Refference:

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III. F. Chen, L. Chen and X. Xie, On a Leslie–Gower predator–prey model incorporating a prey refuge, Nonlinear Anal. Real World Appl. 10 (2009) 2905–2908.

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VII. M. R. Garvie, Finite difference schemes for reaction–diffusion equations modeling predator–prey interactions in MATLAB, Bull. Math. Biol. 69 (2007) 931–956.

VIII. P. H. Crowley and E. K. Martin, Functional responses and interference within and between year classes of a dragonfly population, J. North Amer. Benthol. Soc. 8 (1989) 211–221.

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X. X.-C. Zhang, G.-Q. Sun and Z. Jin, Spatial dynamics in a predator–prey model with Beddington–DeAngelis functional response, Phys. Rev. E 85 (2012) 021924

XI. X. Guan, W. Wang and Y. Cai, Spatiotemporal dynamics of a Leslie–Gower predator–prey model incorporating a prey refuge, Nonlinear Anal. Real World Appl. 12 (2011) 2385–2395.

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NEW CONCEPTS OF T2 SEPARATION AXIOMS IN SUPRA FUZZY TOPOLOGICAL SPACE USING QUASI COINCIDENCE SENSE

Authors:

Lalin Chowdhury, Sudipto Kumar Shaha, Ruhul Amin

DOI NO:

https://doi.org/10.26782/jmcms.2022.02.00004

Abstract:

Sometimes we need to minimize the conditions of topology for different reasons such as obtaining more convenient structures to describe some real-life problems or constructing some counterexamples which show the interrelations between certain topological concepts or preserving some properties under fewer conditions of those on topology. To contribute to this research area, in this paper, we establish some notions of  separation axioms in supra fuzzy topological space in a quasi-coincidence sense. Also, we investigate some of its properties and establish certain relationships among them and other such concepts. Moreover, some of their basic properties are examined. The concept of separation axioms is one of the most important parts of fuzzy mathematics, mainly modern topological mathematics, which plays an important role in modern networking systems.

Keywords:

Fuzzy Set,Fuzzy Topology,Supra Fuzzy Topology,Quasi-coincidence,Initial and Final Supra Fuzzy Topology,

Refference:

I. Azad K. K., On Fuzzy Semi-continuous, Fuzzy Almost Continuity and Fuzzy Weakly Continuity, J. Math. Anal. Appl. 82 (1), (1981), pp 14-32.
II. Chang C. L., Fuzzy Topological Space, J. Math. Anal. Appl., 24 (1968), pp 182-192.
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IV. Fora Ali Ahmd, Separations Axioms for Fuzzy Spaces, Fuzzy Sets and Systems, 33 (1989), pp 59-75.
V. Goguen T. A., Fuzzy Tychonoff Theorem, J. Math. Anal. Appl., 43 (1973), pp 734-742.
VI. Hossain M. S., and D. M. Ali, On T_2 Fuzzy Topological Space, J. Bangladesh Academy of Science, 29 (2) (2005), pp 201-208.
VII. Lowen R., Fuzzy Topological Space and Fuzzy Compactness, J. Math. Anal. Appl., 56 (1976), pp 621-633.
VIII. Ming Pao Pu and Ming Ying Liu, Fuzzy Topology II. Product and Quotient Spaces, J. Math. Anal. Appl., 77 (1980), pp 20-37.
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RSRW DATA, CSP AND CYCLONE TRACK PREDICTION

Authors:

Indrajit Ghosh, Sukhen Das, Nabajit Chakravarty

DOI NO:

https://doi.org/10.26782/jmcms.2022.02.00005

Abstract:

Tropical cyclones are gradually becoming an increasing menace to the coastal human civilization throughout the World. This is due to their increased frequency and intensity of occurrence nowadays. With the global increase of sea surface temperature a marked increase in the percentage of their formation from depression happening especially in the tropical oceans of the World. The Coromandel Coast of India is not an exception to these. To mitigate their devastation effect on mankind we need to study the details of their dynamics governing equations and hence develop suitable solutions. In this paper the numerical value of a stability parameter, viz. CSP is determined employing the RSRW data of one tropical cyclone that has hit the Coromandel Coast of India in 2010. CSP is a dimensionless parameter that we obtained from the analytic solution of cyclone dynamics governing equations.

Keywords:

CSP,Radial velocity,Cross-radial velocity,RSRW,Cyclone eye,Tropical cyclone,

Refference:

I. Baisya H, Pattanaik S, Chakraborty T (2020) A coupled modeling approach to understand ocean coupling and energetics of tropical cyclones in the Bay of Bengal basin. Atmospheric Research, 246, 105092. https://doi.orgII/10.1016/j.atmosres.2020.105092.
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VI. Lala S, Chakravarty N, Das MK (2014) Mathematical explanation of earlier dissipation of the energy of tilted cyclone. Journal of Climatology & Weather Forecasting, 2, 113. https://doi.org/10.4172/2332-2594.1000115.
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TIME SERIES ANALYSIS MODELING AND FORECASTING OF GROSS DOMESTIC PRODUCT OF PAKISTAN

Authors:

Nasir Saleem, Atif Akbar, A. H. M. Rahmatullah Imon, Abu Sayed Md Al Mamun

DOI NO:

https://doi.org/10.26782/jmcms.2022.02.00006

Abstract:

The purpose of this study was to forecast the Gross Domestic Product (GDP) of Pakistan. GDP of Pakistan was observed and analyzed by using time series analysis techniques and Box-Jenkins methodology. These methods were used for analysis, estimation, and forecasting purposes. Data of GDP of Pakistan was collected from (1961-2020). The model selected had the lowest Akaike Information Criteria (AIC), Root Mean Square Error (RMSE), Mean Absolute Error (MAE), Mean Absolute Percentage Error (MAPE), Mean Error (ME), Mean Percentage Error (MPE), Schwarz Bayesian Information Criteria (SBIC), Schwarz Bayesian Criteria (SBC), values and high R2. It was used for forecasting the GDP of Pakistan for the next 55 years from 2021-to 2075. Data were analyzed by using SPSS-21, Eviews-3, and Statgraphics-16. We have found that the best model is the Linear trend model. Based on this selected model, we have found that the GDP of Pakistan would become 2.51199 in 2035 and would become less in 2075 as compared to 2025.

Keywords:

AIC,Linear Trend Model,Time Series Models,Gross,Domestic Product,Forecasting,

Refference:

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