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A REVIEW ON OPTIMAL PLACEMENT AND SIZING METHODS OF DISTRIBUTION GENERATION SOURCES

Authors:

Smrutirekha Mahanta, Manoj Kumar Moharana

DOI NO:

https://doi.org/10.26782/jmcms.2024.05.00004

Abstract:

This manuscript outlines various work carried out in the field of Distributed Generation (DG). Increase in power consumption and shortage in transmission capabilities are addressed by DGs. In order to maximize the potential benefits, it is imperative to place the DGs at optimal locations and the DGs should have optimal size pertaining to that location. There are several research works that are carried out on the placement and sizing of DGs. Nonetheless, the methodical principle for this issue is still unsettled. Various optimization strategies can be used to obtain the appropriate placement and sizing of distributed generation (DG) in grids. This study provides a comprehensive overview of several DG placement approaches, including stochastic fractal search algorithms, particle swarm optimization, symbiotic search algorithms, opposition-based tuneable chaotic differential evaluation, and more. The benefits and potential uses of each method are briefly covered in this study. The study sheds light on the efforts made to determine the best location and size of DGs.

Keywords:

Distributed Generation,DG Placement Techniques,Optimal Locations,Optimal Size,

Refference:

I. Abou El-Ela, Adel A., Ragab A. El-Sehiemy, and Ahmed Samir Abbas. “Optimal placement and sizing of distributed generation and capacitor banks in distribution systems using water cycle algorithm.” IEEE Systems Journal 12.4 (2018): 3629-3636.
II. Acharya, Naresh, Pukar Mahat, and Nadarajah Mithulananthan. “An analytical approach for DG allocation in primary distribution network.” International Journal of Electrical Power & Energy Systems 28.10 (2006): 669-678.
III. Alam, Afroz, Bushra Zaheer, and Mohammad Zaid. “Optimal placement of DG in distribution system for power loss minimization and voltage profile improvement.” 2018 International Conference on Computing, Power and Communication Technologies (GUCON). IEEE, 2018.
IV. Ali, E. S., S. M. Abd Elazim, and A. Y. Abdelaziz. “Ant Lion Optimization Algorithm for optimal location and sizing of renewable distributed generations.” Renewable Energy 101 (2017): 1311-1324.
V. Aman, M. M., et al. “A new approach for optimum simultaneous multi-DG distributed generation Units placement and sizing based on maximization of system loadability using HPSO (hybrid particle swarm optimization) algorithm.” Energy 66 (2014): 202-215.
VI. Angalaeswari, S., et al. “Hybrid pipso-sqp algorithm for real power loss minimization in radial distribution systems with optimal placement of distributed generation.” Sustainability 12.14 (2020): 5787.
VII. Das, Bikash, V. Mukherjee, and Debapriya Das. “DG placement in radial distribution network by symbiotic organisms search algorithm for real power loss minimization.” Applied Soft Computing 49 (2016): 920-936.
VIII. Devi, Sudha, and M. Geethanjali. “Optimal location and sizing determination of Distributed Generation and DSTATCOM using Particle Swarm Optimization algorithm.” International Journal of Electrical Power & Energy Systems 62 (2014): 562-570.
IX. Devi, S., and M. Geethanjali. “Application of modified bacterial foraging optimization algorithm for optimal placement and sizing of distributed generation.” Expert Systems with Applications 41.6 (2014): 2772-2781.
X. Fandi, Ghaeth, et al. “Voltage regulation and power loss minimization in radial distribution systems via reactive power injection and distributed generation unit placement.” Energies 11.6 (2018): 1399.
XI. Ganthia, B. P., Barik, S., & Nayak, B. (2020). Application of hybrid facts devices in DFIG based wind energy system for LVRT capability enhancements. J. Mech. Cont. Math. Sci, 15(6), 245-256.
XII. Ganthia, B. P., Barik, S. K., & Nayak, B. (2020). Transient Analysis of Grid Integrated Stator Voltage Oriented Controlled Type-Iii DFIG Driven Wind Turbine Energy System. Journal of Mechanics of Continua and Mathematical Sciences, 15(6), 139-157.
XIII. Hung, Duong Quoc, Nadarajah Mithulananthan, and Kwang Y. Lee. “Optimal placement of dispatchable and nondispatchable renewable DG units in distribution networks for minimizing energy loss.” International Journal of Electrical Power & Energy Systems 55 (2014): 179-186.
XIV. Hung, Duong Quoc, Nadarajah Mithulananthan, and R. C. Bansal. “Analytical strategies for renewable distributed generation integration considering energy loss minimization.” Applied Energy 105 (2013): 75-85.
XV. Jordehi, Ahmad Rezaee. “Allocation of distributed generation units in electric power systems: A review.” Renewable and Sustainable Energy Reviews 56 (2016): 893-905.
XVI. Kaushal, Pawan Kumar, and Minal Tomar. “Real and reactive power loss minimization of IEEE-33 bus by optimal DG placement using LSO in RDS.” 2017 International Conference on Energy, Communication, Data Analytics and Soft Computing (ICECDS). IEEE, 2017.
XVII. Kumar, Sajjan, Kamal K. Mandal, and Niladri Chakraborty. “A novel opposition-based tuned-chaotic differential evolution technique for techno-economic analysis by optimal placement of distributed generation.” Engineering Optimization 52.2 (2020): 303-324.
XVIII. Nguyen, Tri Phuoc, and Dieu Ngoc Vo. “A novel stochastic fractal search algorithm for optimal allocation of distributed generators in radial distribution systems.” Applied Soft Computing 70 (2018): 773-796.
XIX. Niknam, Taher, et al. “Optimal operation management of fuel cell/wind/photovoltaic power sources connected to distribution networks.” Journal of Power Sources 196.20 (2011): 8881-8896.
XX. Niknam, T., A. M. Ranjbar, and A. R. Shirani. “Impact of distributed generation on volt/var control in distribution networks.” 2003 IEEE Bologna Power Tech Conference Proceedings,. Vol. 3. IEEE, 2003.
XXI. Prabha, D. Rama, and T. Jayabarathi. “Optimal placement and sizing of multiple distributed generating units in distribution networks by invasive weed optimization algorithm.” Ain Shams Engineering Journal 7.2 (2016): 683-694.
XXII. Prasad, C. Hari, K. Subbaramaiah, and P. Sujatha. “Cost–benefit analysis for optimal DG placement in distribution systems by using elephant herding optimization algorithm.” Renewables: Wind, Water, and Solar 6.1 (2019): 1-12.
XXIII. Prakash, D. B., and C. Lakshminarayana. “Multiple DG placements in radial distribution system for multi objectives using Whale Optimization Algorithm.” Alexandria engineering journal 57.4 (2018): 2797-2806.
XXIV. Raut, Usharani, Sivkumar Mishra, and Debani Prasad Mishra. “An adaptive NSGA II for optimal insertion of distributed generators in radial distribution systems.” 2019 International Conference on Information Technology (ICIT). IEEE, 2019.
XXV. Raut, Usharani, and Sivkumar Mishra. “An improved Elitist–Jaya algorithm for simultaneous network reconfiguration and DG allocation in power distribution systems.” Renewable Energy Focus 30 (2019): 92-106.
XXVI. Reddy, P. Dinakara Prasad, VC Veera Reddy, and T. Gowri Manohar. “Whale optimization algorithm for optimal sizing of renewable resources for loss reduction in distribution systems.” Renewables: wind, water, and solar 4.1 (2017): 1-13.
XXVII. Siahbalaee, Jafar, Neda Rezanejad, and Gevork B. Gharehpetian. “Reconfiguration and DG sizing and placement using improved shuffled frog leaping algorithm.” Electric Power Components and Systems 47.16-17 (2019): 1475-1488.
XXVIII. Teimourzadeh, Hamid, and Behnam Mohammadi-Ivatloo. “A three-dimensional group search optimization approach for simultaneous planning of distributed generation units and distribution network reconfiguration.” Applied Soft Computing 88 (2020): 106012.
XXIX. Tran, Tung The, Khoa Hoang Truong, and Dieu Ngoc Vo. “Stochastic fractal search algorithm for reconfiguration of distribution networks with distributed generations.” Ain Shams Engineering Journal 11.2 (2020): 389-407.
XXX. Truong, Khoa H., et al. “A quasi-oppositional-chaotic symbiotic organisms search algorithm for optimal allocation of DG in radial distribution networks.” Applied Soft Computing 88 (2020): 106067.
XXXI. Yuvaraj, T., K. R. Devabalaji, and K. Ravi. “Optimal allocation of DG in the radial distribution network using bat optimization algorithm.” Advances in power systems and energy management. Springer, Singapore, 2018. 563-569.
XXXII. Zongo, Oscar Andrew, and Anant Oonsivilai. “Optimal placement of distributed generator for power loss minimization and voltage stability improvement.” Energy Procedia 138 (2017): 134-139.

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COMPARISON MRCD AND ORACLE FOR ESTIMATING THE DETERMINANT OF HIGH DIMENSIONAL COVARIANCE MATRIX

Authors:

Fatimah Abdul – Hammeed Jawad Al – Bermani, Mohammad Huseen Abdul – Hammeed Jawad Al – Bermani

DOI NO:

https://doi.org/10.26782/jmcms.2024.05.00005

Abstract:

Estimating the variance matrix has an important role in statistical applications and conclusions, in high–dimensional matrices if the number of variables is greater than the number of observations P > n, the traditional statistical methods are not reliable because they give uncontrolled estimates. Shrinkage methods are used to estimate the high–dimensional variance matrix. In this research, the high–dimensional variance matrix was estimated using the robust Nonparametric method Minimum Regularized Covariance Determinant (MRCD), which is based on Mahalanobis distance, and compared with the variance matrix estimated by the Oracle method, which is based on the Frobenius criterion.

Keywords:

Frobenius,High–Dimensional,Minimum Regularized Covariance Determinant,Mahalanobis,Oracle,Parameter regulation,Shrinkage,

Refference:

I. F. Abdul–Hammeed, and M. Sabah, : ‘Compared with genetic algorithm Fast-MCD-Nested Extension and neural network multilayer Back propagation’. JOURNAL OF ECONOMIC & ADMINISTRATIVE SCIENCE. Jun. No 22(89), 381-395, (2016).
II. F. Virgile, V. Gael, T. Benjamin, and Bertrand Thirion. : ‘Detecting outlying Subjects in High-Dimensional Neuroimaging Datasets with Regularized Minimum Covariance Determinant’. pp. 264-271. https://hal.inria.fr/inria-00626857. 10.1007/978-3-642-23626-6_33
III. I. Clifferd, : ‘High Dimensional Covariance Matrix Estimation’. Department of Statistics, London School. http://stats.lse.ac.uk.
IV. J. Brian Williamson, : ‘Shrinkage Estimators for high-dimensional Covariance matrices’. POMONA COLLEGE , April 4, (2014). 10.1109/ICASSP.2009.4960239
V. K. Jan, and H. Jaroslav, : ‘Robust Regularized Discriminant Analysis Based on Implicit Weighting’. Technical report No.v-1241. December (2016). http://www.nusl.cz/ntk/nusl-262425
VI. K. Jan, T. Jurjen Duintjer, and S. Anna, : ‘Robustness of High-Dimensional Data’.
Mining.Kalina@cs.cas.cz. https://www.semantis/scholarory
VII. L. Olivier, W. Michael, : ‘Shrinkage Estimation of large covariance
matrices: keep it simple’. statistician. university of Zurich . Journal of Multivariate Analysis. 186, (2021) 104796. 10.1016/j.jmva.2021.104796
VIII. M. Abdul – Hammeed,and F. Abdul – Hammeed, : ‘Estimated between the two-stage summation shrinkage for the variance of a normal distribution and for equal sizes of the two samples’. Baghdad science journal. Jun. No 1009, (2011).
IX. M. Hubert, and M. Debruyne, : ‘Minimum Covariance Determinant’. Wiley Interdisciplinary Reviews:Computional Statistics. 2(2010). Pp.- 36-34. https://wis.kuleuven.be/stat/robust/papers/2010/wire-mcd.pdf
X. O. Ledoit ,and M. Wolf , : ‘Quadratic Shrinkage for Large Covariance Matrices’. University of Zurich , November (2019). http://dx.doi.org/10.2139/ssrn.3486378
XI. O. Ledoit ,and M. Wolf. : ‘A well-conditioned estimator for large-dimensional covariance matrices’. Journal of Multivariate Analysis. 88(2) (2004), pp. 365-411. 10.1016/S0047-259X(03)00096-4
XII. R. Maronnan, and R.H. Zamar. : ‘Robust Estimates of Location and Dispersion for High-Dimensional Datasets’. Technometrics. 44(4), 307-317 (2002). https://www.jstor.org/stable/1271538
XIII. P. Rousseeuw , S . Vanduffel and T. Verdonckl. : ‘Minimum Regularized Covariance Determinant Estimatimater’. june 1. (2018). **
XIV. P. Rousseeuw, V. Steven, and V. Tim. : ‘The Minimum Regularized Covariance Determinant Estimator’. ar Xiv:1701.07086v3, November 29 (2018). 10.2139/ssrn.2905259
XV. P. Rousseeuw, and D. Van. : ‘Afast algorithm for the Minimum Covariance Determinant estimator’. Technometrics. 41(3), (1991), pp. 212-223. doi.org/10.2307/1270566
XVI. Won J. H, Lim J. Kim S., J. Rajaratnan. : ‘Condition-number regularized covariance estimation’. J. R. Stat. Ser B (stat.Methodol) 75 (3), (2013) 427-450. doi.org/10.1111/j.1467-9868.2012.01049.x
XVII. Yilun C., Ami wiesel, Alfred O. Hero III. : ‘Shrinkage Estimtion of high Dimensional Covariance Matrices’. International Conference on Acoustics, Speech and Signal Processing. April (2009) 10.1109/ICASSP.2009.4960239
XVIII. Yilun C., Ami Wiesel, Alfredo. : ‘Robust Shrinkage Estimtion of high Dimensional Covariance Matrices’. arXiv:1009.5331v1 [stat.ME]. 27 sep (2010). 10.1109/TSP.2011.2138698
XIX . Zongliang Hu, Kai Dong, Wenlin Dai and Tiejan Tong. : ‘Acomparison of Methods for Estimating the Determinent of High-Dimensional Covariance Matrix’. The International Journal of Biostatistics. September, (2017). doi.org/10.1515/ijb-2017-0013

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EVOLUTION AND ANALYSIS OF SINGLE-DEGREE-OF-FREEDOM WALKING MECHANISMS IN LEGGED ROBOTS: A BIBLIOMETRIC STUDY

Authors:

Papatla Rajesh, Rega Ragendra, Ponugoti Gangadhara Rao

DOI NO:

https://doi.org/10.26782/jmcms.2024.05.00006

Abstract:

This study conducts a bibliometric analysis to explore the evolution and practical applications of legged robots equipped with single-degree-of-freedom mechanisms from 2010 to 2023. Through comprehensive methodologies involving renowned academic databases such as Scopus, the research examines 127 relevant articles, employing statistical analysis and network assessments to discern trends and contributors in the field. Results indicate a peak in publication volume in 2019, with India emerging as the leading contributor, followed by Romania and China. The findings provide valuable insights into the global research landscape of legged robotics, highlighting key advancements and contributors and paving the way for future developments in the field.

Keywords:

Citation,Co-occurrences,Degrees of Freedom,Legged Robots,Walking Mechanisms,

Refference:

I. Armada, M. A., de González Santos, P., Ottaviano, E., Ceccarelli, M., & Tavolieri, C. (2005). Kinematic and dynamic analyses of a pantograph-leg for a biped walking machine. In Climbing and Walking Robots: Proceedings of the 7th International Conference CLAWAR 2004 (pp. 561-568). Springer Berlin Heidelberg.
II. Desai, Shivamanappa G., Anandkumar R. Annigeri, and A. TimmanaGouda. “Analysis of a new single degree-of-freedom eight link leg mechanism for walking machine.” Mechanism and machine theory 140 (2019): 747-764. 10.1016/j.mechmachtheory.2019.06.002
III. Frank, C. Modern Robotics-Mechanics, Planning, and Control. Cambridge University Press, 2017.
IV. Fukuoka, Y., Kimura, H., & Cohen, A. H. (2003). Adaptive dynamic walking of a quadruped robot on irregular terrain based on biological concepts. The International Journal of Robotics Research, 22(3-4), 187-202. 10.1177/0278364903022003004
V. Godoy, J. C., Campos, I. J., Pérez, L. M., & Muñoz, L. R. (2018). Nonanthropomorphic exoskeleton with legs based on eight-bar linkages. International Journal of Advanced Robotic Systems, 15(1), 1729881418755770. 10.1177/1729881418755770

VI. Ishihara, Hidenori, and Kiyoshi Kuroi. “A four-leg locomotion robot for heavy load transportation.” 2006 IEEE/RSJ International Conference on intilligent and robots and systems .IEEE,2006. 10.1109/IROS.2006.282379
VII. Jansen, Theo. The great pretender. 010 Publishers, 2007.
VIII. Jansen, Theo. The great pretender. 010 Publishers, 2007.
IX. Kashem, Saad Bin Abul, et al. “An experimental study of the amphibious robot inspired by biological duck foot.” 2018 IEEE 12th International Conference on Compatibility, Power Electronics and Power Engineering (CPE-POWERENG 2018). IEEE, 2018. 10.1109/CPE.2018.8372507
X. Kashem, Saad Bin Abul, et al. “Design and implementation of a quadruped amphibious robot using duck feet.” Robotics 8.3 (2019): 77. 10.3390/robotics8030077
XI. Kim, H., Lee, D., Jeong, K., & Seo, T. (2015). Water and ground-running robotic platform by repeated motion of six spherical footpads. IEEE/ASME Transactions on Mechatronics, 21(1), 175-183. 10.1109/TMECH.2015.2435017
XII. Kulandaidaasan Sheba, J., Elara, M. R., Martínez-García, E., & Tan-Phuc, L. (2016). Trajectory generation and stability analysis for reconfigurable klann mechanism based walking robot. Robotics, 5(3), 13. 10.3390/robotics5030013
XIII. Liang, C., Ceccarelli, M., Takeda, Y. “Operation Analysis of a Chebyshev-Pantograph Leg Mechanism for a Single DOF Biped Robot.” Frontiers of Mechanical Engineering, vol. 7, no. 4, 2012, pp. 357–370. 10.1007/s11465-012-0340-5
XIV. Lockhande, N. G., and V. B. Emche. “Mechanical spider by using klann mechanisms.” International Journal of Mechanical Engineering and Computer Applications 1.5 (2013): 13-16.
XV. McCarthy, J. M., & Chen, K. Design of Mechanical Walking Robots. MDA, Press, 2021.
XVI. Núñez-Altamirano, Diego A., Felipe J. Torres, and Ignacio Juárez-Campos. “Kinematics of a Reconfigurable Robotic Leg based on the inverse Peaucellier-Lipkin mechanism.” 2019 IEEE International Autumn Meeting on Power, Electronics and Computing (ROPEC). IEEE, 2019. 10.1109/ROPEC48299.2019.9057073
XVII. Patnaik, Lalit, and Loganathan Umanand. “Kinematics and dynamics of Jansen leg mechanism: A bond graph approach.” Simulation Modelling Practice and Theory 60 (2016): 160-169. 10.1016/j.simpat.2015.10.003
XVIII. Rajkumar, A. “A microcontroller based spider bot using Klann mechanism.” AIP Conference Proceedings. Vol. 2460. No. 1. AIP Publishing, 2022. 10.1063/5.0096353
XIX. Regulan, Gopi Krishnan, Ganesan Kaliappan, and M. Santhakumar. “Development of an amphibian legged robot based on Jansen mechanism for exploration tasks.” Advancements in Automation, Robotics and Sensing: First International Conference, ICAARS 2016, Coimbatore, India, June 23-24, 2016, Revised Selected Papers. Springer Singapore, 2016.10.1007/978-981-10-2845-8_7
XX. Shah, Rushil, et al. “Advancement and application of Theo Jansen linkages: A review.” AIP Conference Proceedings. Vol. 2855. No. 1. AIP Publishing, 2023. 10.1063/5.0169581
XXI. Sheba, Jaichandar Kulandaidaasan, et al. “Design and evaluation of reconfigurable Klann mechanism based four legged walking robot.” 2015 10th International Conference on Information, Communications and Signal Processing (ICICS). IEEE, 2015. 10.1109/ICICS.2015.7459939
XXII. Silva, Manuel Fernando, and JA Tenreiro Machado. “A literature review on the optimization of legged robots.” Journal of Vibration and Control 18.12 (2012): 1753-1767.
XXIII. Varma, DS Mohan. “Synthesis and Analysis of Jansen’s Leg-Based Mechanism for Gait Rehabilitation.” Mechanism and Machine Science: Select Proceedings of Asian MMS 2018. Springer Singapore, 2021. 10.1007/978-981-15-4477-4_22

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THE TIME-FRACTIONAL PERTURBED NONLINEAR SCHRÖDINGER EQUATION WITH BETA DERIVATIVE

Authors:

Md. Al Amin, M. Ali Akbar, M. Ashrafuzzaman Khan

DOI NO:

https://doi.org/10.26782/jmcms.2024.05.00007

Abstract:

In this article, we extract the diverse solitary wave solutions to the time-fractional perturbed nonlinear Schrödinger equation describing the dynamics of optical solitons travelling through nonlinear optical fibers. The nonlinear fractional differential equation is transformed into a nonlinear differential equation using a traveling wave transformation relating to the beta derivative. After that, the resulting equation is explained using the extended Riccati equation method. Abundant soliton and soliton-type solutions are extracted, comprising trigonometric and hyperbolic functions. The nature of the solutions varies qualitatively depending on distinct parameters. Additionally, graphical representations of the constructed solutions exhibit various physical forms, including kink, bell-shaped, periodic, anti-coupon etc. Moreover, the achieved solutions play a significant role in interpreting wave propagation studies and are essential for validating numerical and experimental findings in the fields of nonlinear optics, quantum mechanics, engineering, etc.

Keywords:

Beta Derivative,Extended Riccati Equation method,Optical Solitons,Time-fractional Perturbed Nonlinear Schrödinger Equation,Traveling Wave Transformation,

Refference:

I. Akbar, M. A., & Khatun, M. M. (2023). Optical soliton solutions to the space–time fractional perturbed Schrödinger equation in communication engineering. Optical and Quantum Electronics, 55(7), 645. 10.1007/s11082-023-04911-9
II. Ali, A., Ahmad, J., & Javed, S. (2023). Solitary wave solutions for the originating waves that propagate of the fractional Wazwaz-Benjamin-Bona-Mahony system. Alexandria Engineering Journal, 69, 121-133. 10.1016/j.aej.2023.01.063
III. Atangana, A., & Alqahtani, R. T. (2016). Modelling the spread of river blindness disease via the Caputo fractional derivative and the beta-derivative. Entropy, 18(2), 40. 10.3390/e18020040
IV. Atangana, A., Baleanu, D., & Alsaedi, A. (2016). Analysis of time-fractional Hunter-Saxton equation: a model of neumatic liquid crystal. Open Physics, 14(1), 145-149. 10.1515/phys-2016-0010
V. Beghami, W., Maayah, B., Bushnaq, S., & Abu Arqub, O. (2022). The Laplace optimized decomposition method for solving systems of partial differential equations of fractional order. International Journal of Applied and Computational Mathematics, 8(2), 52. 10.1007/s40819-022-01256-x
VI. Bekir, A., Aksoy, E., & Cevikel, A. C. (2015). Exact solutions of nonlinear time fractional partial differential equations by sub‐equation method. Mathematical Methods in the Applied Sciences, 38(13), 2779-2784. 10.1002/mma.3260
VII. Bekir, A., Guner, O., & Cevikel, A. (2016). The exp-function method for some time-fractional differential equations. IEEE/CAA Journal of Automatica Sinica, 4(2), 315-321. 10.1109/JAS.2016.7510172
VIII. Bilal, M., & Ren, J. (2022). Dynamics of exact solitary wave solutions to the conformable time-space fractional model with reliable analytical approaches. Optical and Quantum Electronics, 54, 1-19. 10.1007/s11082-021-03408-7
IX. Bilal, M., Ren, J., Inc, M., & Alhefthi, R. K. (2023). Optical soliton and other solutions to the nonlinear dynamical system via two efficient analytical mathematical schemes. Optical and Quantum Electronics, 55(11), 938. 10.1007/s11082-023-05103-1
X. Chen, W., Sun, H., & Li, X. (2022). Fractional derivative modeling in mechanics and engineering. Beijing, China: Springer.
XI. Esra Köse, G., Oruç, Ö., & Esen, A. (2022). An application of Chebyshev wavelet method for the nonlinear time fractional Schrödinger equation. Mathematical Methods in the Applied Sciences, 45(11), 6635-6649. 10.1002/mma.8196
XII. Islam, T., Akbar, M. A., & Azad, A. K. (2018). Traveling wave solutions to some nonlinear fractional partial differential equations through the rational (G′/G)-expansion method. Journal of Ocean Engineering and Science, 3(1), 76-81. 10.1016/j.joes.2017.12.003
XIII. Islam, M. T., Akter, M. A., Gómez-Aguilar, J. F., & Akbar, M. A. (2022). Novel and diverse soliton constructions for nonlinear space–time fractional modified Camassa–Holm equation and Schrodinger equation. Optical and Quantum Electronics, 54(4), 227. 10.1007/s11082-022-03602-1

XIV. Khater, M. M., Attia, R. A., & Lu, D. (2018). Modified auxiliary equation method versus three nonlinear fractional biological models in present explicit wave solutions. Mathematical and Computational Applications, 24(1), 1. 10.3390/mca24010001
XV. Kudryashov, N. A., & Biswas, A. (2022). Optical solitons of nonlinear Schrödinger’s equation with arbitrary dual-power law parameters. Optik, 252, 168497. 10.1016/j.ijleo.2021.168497
XVI. Laskin, N. (2002). Fractional Schrödinger equation. Physical Review E, 66(5), 056108. 10.1103/PhysRevE.66.056108
XVII. Lu, D., Wang, J., Arshad, M., & Ali, A. (2017). Fractional reduced differential transform method for space-time fractional order heat-like and wave-like partial differential equations. Journal of Advanced Physics, 6(4), 598-607. 10.1166/jap.2017.1383
XVIII. Odabasi, M., & Misirli, E. (2018). On the solutions of the nonlinear fractional differential equations via the modified trial equation method. Mathematical Methods in the Applied Sciences, 41(3), 904-911. 10.1002/mma.3533
XIX. Okposo, N. I., Veeresha, P., & Okposo, E. N. (2022). Solutions for time-fractional coupled nonlinear Schrödinger equations arising in optical solitons. Chinese Journal of Physics, 77, 965-984. 10.1016/j.cjph.2021.10.014
XX. Owyed, S., Abdou, M. A., Abdel-Aty, A., & Dutta, H. (2020). Optical solitons solutions for perturbed time fractional nonlinear Schrodinger equation via two strategic algorithms. Aims Math, 5(3), 2057-2070. 10.3934/math.2020136
XXI. Riaz, M. B., Atangana, A., Jahngeer, A., Jarad, F., & Awrejcewicz, J. (2022). New optical solitons of fractional nonlinear Schrodinger equation with the oscillating nonlinear coefficient: A comparative study. Results in Physics, 37, 105471. 10.1016/j.rinp.2022.105471
XXII. Rizvi, S. T. R., Seadawy, A. R., Younis, M., Ahmad, N., & Zaman, S. (2021). Optical dromions for perturbed fractional nonlinear Schrödinger equation with conformable derivatives. Optical and Quantum Electronics, 53(8), 477. 10.1007/s11082-021-03126-0
XXIII. Sarwar, A., Gang, T., Arshad, M., Ahmed, I., & Ahmad, M. O. (2023). Abundant solitary wave solutions for space-time fractional unstable nonlinear Schrödinger equations and their applications. Ain Shams Engineering Journal, 14(2), 101839. 10.1016/j.asej.2022.101839
XXIV. Valentim, C. A., Rabi, J. A., & David, S. A. (2021). Fractional mathematical oncology: On the potential of non-integer order calculus applied to interdisciplinary models. Biosystems, 204, 104377. 10.1016/j.biosystems.2021.104377
XXV. Wang, F., Salama, S. A., & Khater, M. M. (2022). Optical wave solutions of perturbed time-fractional nonlinear Schrödinger equation. Journal of Ocean Engineering and Science. 10.1016/j.joes.2022.03.014
XXVI. Wazwaz, A. M. (2022). Bright and dark optical solitons of the (2+ 1)-dimensional perturbed nonlinear Schrödinger equation in nonlinear optical fibers. Optik, 251, 168334. 10.1016/j.ijleo.2021.168334
XXVII. Younis, M., ur Rehman, H., Rizvi, S. T. R., & Mahmood, S. A. (2017). Dark and singular optical solitons perturbation with fractional temporal evolution. Superlattices and Microstructures, 104, 525-531. 10.1016/j.spmi.2017.03.006
XXVIII. Zaman, U. H. M., Arefin, M. A., Akbar, M. A., & Uddin, M. H. (2023). Utilizing the extended tanh-function technique to scrutinize fractional order nonlinear partial differential equations. Partial Differential Equations in Applied Mathematics, 8, 100563. 10.1016/j.padiff.2023.100563
XXIX. Zhu, S. D. (2008). The generalizing Riccati equation mapping method in non-linear evolution equation: application to (2+1)-dimensional Boiti-Leon-Pempinelle equation. Chaos, Solitons & Fractals, 37(5), 1335-1342. 10.1016/j.chaos.2006.10.015

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ANOMALY DETECTION IN SMART HOME ELECTRICAL APPLIANCES USING MACHINE LEARNING WITH STATISTICAL ALGORITHMS AND OPTIMIZED TIME SERIES ALGORITHMS

Authors:

Basim Galeb, Haider Saad, Haitham Bashar, Kadhum Al-Majdi, Aqeel Al-Hilali

DOI NO:

https://doi.org/10.26782/jmcms.2024.05.00008

Abstract:

Over the last several years, there has been a significant increase in the amount of focus placed on the infrastructure development of smart cities. The primary issue that academics are attempting to address is the issue of energy efficiency. One of these issues was the identification of anomalies in energy usage, which was an essential component that needed to be taken into consideration when managing energy-saving systems that were efficient, hence lowering the total energy consumption and carbon emissions. Therefore, the proposal of a strong approach that is based on the Internet of Things (IoT) might provide more relevance for the identification of abnormal consumption in buildings and the provision of this information to customers and governments so that it can be handled in an appropriate manner to minimize payments. Consequently, the purpose of this work is to explore three different optimization methods, namely ADAM, AadMax, and Nadam, and to advocate for an optimization approach that makes use of the LSTM algorithm to identify anomalies. Statistical modelling techniques such as ARIMA and SARIMAX are used for the purpose of time series forecasting. The findings of the anomaly detection system reveal that the best results are obtained by using LSTM in conjunction with Nadar. The MSE and RMSE values reached were 0.15348 and 0.02356 respectively. Additionally, the ARIMA model yields the best overall results, with the AIC value being 0.13859 and the MSE value being 300.94365 correspondingly. Confirmation of the suggested model's dependability and flexibility in optimizing anomaly detection is provided by this particular fact.

Keywords:

Anomaly Detection System,Abnormal Consumption,Energy-saving Systems,Statistical Modelling Techniques,Time Series Forecasting.,

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A NOVEL CONCEPT OF THE BHATTACHARYYA’S THEOREM: √{-(x2+ y2)}= – √( x2+ y2 ) TO FIND THE SQUARE ROOT OF ANY NEGATIVE NUMBER INTRODUCING FERMAT’S LAST THEOREM IN REAL NUMBERS WITHOUT USING THE CONCEPT OF COMPLEX NUMBERS

Authors:

Prabir Chandra Bhattacharyya

DOI NO:

https://doi.org/10.26782/jmcms.2024.05.00009

Abstract:

In this paper, the author stated and proved Bhattacharyya’s Theorem: √{-(x2 + y2 )} = -√(x2 + y2). With the help of this theorem, the author finds the square root of any negative number introducing Fermat’s last theorem without using the concept of complex numbers. The author has introduced Fermat’s Last Theorem in Bhattacharyya’s Theorem to find the square root of any negative number in real numbers in a very simple way. Indeed it is a new invention in mathematics in this era.

Keywords:

Extended form of Pythagoras Theorem,Fermat’s Last Theorem,Pythagoras Theorem,Rectangular Bhattacharyya’s Co-ordinate System,Theory of Dynamics of Numbers,

Refference:

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ANALYSIS OF STRUCTURAL CHANGES OF THE BALANCE SHEET ECOLOGICAL-ECONOMIC MODELS OF THE “INPUT-OUTPUT” TYPE

Authors:

V. Kudin, A. Onyshchenko, E. Rostomian

DOI NO:

https://doi.org/10.26782/jmcms.2024.06.00001

Abstract:

The purpose of the research is to develop methods, algorithms, and computational procedures of analysis, and solution (subsolution) of problems during changes at the stages of ecological and economic modelling of processes. Metaheuristics are proposed, which take into account the experimentally obtained knowledge about the properties of the model. A computational experiment was conducted to analyze the properties of the improved "input-output" model (linear system) using the method of basic matrices. This method has several software implementations of the corresponding algorithms in "exact" and "long" numbers. It includes the ability to both solve the problem (from beginning to end) and resolve the problem with changes in the model (without re-solving at first). Hence, using the example of calculations based on the speed criterion, decision-making on choosing the "best" algorithm for solving the problem is demonstrated.

Keywords:

Basic Matrices,Ecological and Economic System,Method of Exact Calculations,Sustainable Development,Ill-Conditioned System of Linear Equations,

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STUDY OF IMAGE SEGMENTATION METHODS WITH MRI IMAGES

Authors:

Mohanapriya G., Muthukumar S., Santhosh Kumar S.

DOI NO:

https://doi.org/10.26782/jmcms.2024.06.00002

Abstract:

Digital image processing is the use of a digital computer to process digital images. Image processing transforms input images into digital form for certain operations to obtain useful information. Segmentation is a well-known process used in image processing that partitions input images into different regions. Image segmentation is a sub-area of computer vision and digital image processing for grouping similar segments of an image under respective class labels. Several methods were performed with neutrosophic sets on dissimilar image-processing domains. However, the denoising and segmentation were not carried out accurately with minimal time complexity. To address these issues, many image segmentation methods are reviewed.

Keywords:

Computer Vision,Denoising,Digital image processing,Neutrosophic set,Segmentation,

Refference:

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IV. Dhar, Soumyadip, and Malay K. Kundu. : ‘Accurate multi-class image segmentation using weak continuity constraints and neutrosophic set’. Applied Soft Computing. Vol. 112, 107759, 2021. 10.1016/j.asoc.2021.107759
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SUSTAINABLE INVESTIGATION ON POND ASH-INDUCED COMPRESSED INTERLOCKING BRICKS

Authors:

Gaurav Udgata, Kirtikanta Sahoo, Dipti Ranjan Biswal, Subham Sahoo

DOI NO:

https://doi.org/10.26782/jmcms.2024.06.00003

Abstract:

Investigating the sustainability of using pond ash in compressed interlocking bricks is a multi-faceted process that requires assessing environmental, economic, and social aspects. India churns out more than 200 million tonnes of untapped coal ash every year. Stone crusher plants and thermal power plants are exhibiting huge amounts of unutilized by-products which have started invading our environment negatively and could soon create hazardous impacts. This paper focuses on investigating a new emerging sustainable brick constituting all these waste substances. Unutilized stone dust from crushers of the Khordha Industrial Area and Ash (Pond ash and Fly ash) were collected from the NALCO Power Plant situated at Angul, Odisha, India. Pond ash Induced Compressed Interlocking Bricks (PAICIB) were fabricated having parent mix with pond ash & fly ash levels of 35% and 40% stone dust by weight, which was fixed after several trial mix experiments. Variation was done with the proportion of lime and cement to the parent mix. Compressive strength tests were conducted on day 7 and 28. The parent mix of 30cmx15cmx10cm PAICIB containing no cement and 10% hydrated lime by weight of parent mix sustained a compressive strength up to 5.5 N/mm2 (failure load of 204KN) and the water absorption was 17% after 28 days. The primary focus of this investigation is to utilize the waste materials for creating an eco-friendly brick that can meet the demand of the current rising population of populated countries like India. This work becomes a part of the “fly ash management and utilization mission” by NGT as the bricks are formed here using the disposed pond ash in rivers reducing water pollution too.

Keywords:

CIB,Failure load,Fly ash management,Parent mix,Pozzolona,

Refference:

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VI. Bhavsar, Jay K., and Vijay Panchal. : ‘Ceramic waste powder as a partial substitute of fly ash for geopolymer concrete cured at ambient temperature’. Civil Engineering Journal. Vol. 8(7), 2022. 10.28991/CEJ-2022-08-07-05
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XXII. Vijay Adhithya A., Kalpana V. G., and Malavan K., : ‘Development and performance evaluation of interlocking bricks using industrial waste materials’. International Journal of Advance Research, Ideas and Innovations in Technology. Vol. 7(4), V7I4-1207, 2021.

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INFLUENCE OF CULTURAL INTELLIGENCE ON WORK ADJUSTMENT: A REGRESSION-BASED STUDY

Authors:

Nepoleon Prabakaran, Harold Andrew Patrick, K. Sankar Ganesh, V.P. Sriram

DOI NO:

https://doi.org/10.26782/jmcms.2024.06.00004

Abstract:

Globalization has led to an increase in cultural diversity in the software business, meaning that workers need to be culturally intelligent (CQ) to communicate with coworkers from various backgrounds and successfully navigate various organizational cultures. However, there is a lack of research on the influence of CQ on work adjustment among Indian software professionals working in culturally different states. Additionally, the relationship between CQ, job characteristics, and work adjustment remains unclear. This study aims to investigate the impact of CQ on job satisfaction and performance and identify areas for improvement in creating equitable and multicultural work environments. The findings will contribute to enhancing employees' cultural intelligence and promoting better work adjustment in the context of increasing cultural diversity and globalization. The purpose of this study was to examine the extent to which cultural intelligence can enhance work adjustment by exploring its impact on employees' job satisfaction and job performance. The study's ultimate sample size of 485 respondents was obtained using standardized instruments in a quantitative and cross-sectional methodology. Google Forms software was utilized to distribute the questionnaires online. The findings of this study provide valuable insights into effective strategies for enhancing employees' cultural intelligence and promoting better work adjustment in the context of globalization and increasing cultural diversity in the workplace.

Keywords:

Cultural intelligence,Job performance,Job satisfaction,Software professionals,Work adjustment,

Refference:

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ANISOTROPIC PICONE IDENTITIES FOR HALF LINEAR CONFORMABLE ELLIPTIC EQUATIONS

Authors:

N. Sasikala, V. Sadhasivam

DOI NO:

https://doi.org/10.26782/jmcms.2024.06.00005

Abstract:

This study is devoted to investigating the anisotropic picone identities for half-linear Conformable elliptic equations and the Hardy-type inequality. Further, we provide some results for the nonlinear analogue to Picone identity.

Keywords:

Anisotropic picone identities,Conformable elliptic equations,Half-linear Conformable elliptic equations,Hardy-type inequality,

Refference:

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A COMPREHENSIVE DESIGN AND SIMULATION OF QUADRUPOLE ELECTROMAGNETIC LINEAR SYSTEMS FOR PRECISE POSITIONING IN AEROSPACE

Authors:

Kintali Manohar, Kondamudi Srichandan

DOI NO:

https://doi.org/10.26782/jmcms.2024.06.00006

Abstract:

For linear motion applications, particularly in aerospace, this study outlines the creation of an essential Quadrupole Electromagnetic System (QES) as a substitute for a four-track electromagnetic launcher. The QES design is compared with a four-track system to address concerns regarding rail-armature contact sliding. In a QES, four coils provide a homogeneous electromagnetic field, resulting in a Lorentz force on the slider. The QES was designed using the three-dimensional modeling capabilities of the ANSYS software. The results of the magnetic properties show a high potential for scaling this model to various levels. Additionally, the QES power circuit was simulated using ANSYS Simplorer. The circuit uses silicon-controlled rectifiers (SCR) and a pulse-width modulation (PWM) pulse generator. A force of 4kN was achieved, and this paper presents the current and force plots in detail. The study includes finite element analysis, electromagnetic and current characteristics simulation, and monitoring of the skin and proximity effects. Performance is increased by optimizing the QES design parameters using Particle Swarm Optimization (PSO). The simulation results demonstrate the feasibility and scalability of the QES design.

Keywords:

Electromagnetics,Finite element analysis,Four-track electromagnetic launcher,Particle Swarm Optimization (PSO),

Refference:

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IMPLEMENTATION OF AN EFFECTIVE FSO WDM SYSTEM UNDER DIFFERENT ATMOSPHERIC CONDITIONS WITH DIFFERENT CODING SCHEMES

Authors:

Basim Galeb, Dalal Abdulmohsin, Haitham Bashar, Kadhum Al-Majdi, Aqeel Al-Hilali

DOI NO:

https://doi.org/10.26782/jmcms.2024.06.00007

Abstract:

In different atmospheric conditions, Free Space Optical (FSO) transmission is vital because it sends data via light beams through the atmosphere. This technique transmits data quickly and efficiently with low signal attenuation in clear weather. This makes it ideal for short- to medium-range communication, especially in urban areas where cables or radio frequency spectrum are impractical. However, fog, rain, and snow can absorb or disperse the light signal, reducing transmission range and reliability for FSO. This research creates an effective FSO system that supports many channels and transmission distances. The suggested system will be tested in four weather conditions (light air, light rain, medium rain, and heavy rain) with attenuation values of 0.47, 1.988, 5.844, and 9.29 dB/km. Optisystem program version 21 designs and evaluates system performance based on QF, BER, and other criteria. In this research, multiple modulation formats are evaluated for best performance. QF exhibited a reversal relationship with distance, while BER showed a direct one. The suggested system can transmit for 25 km, 12 km, 10 km, and less than 6 km in light air, light rain, medium rain, and severe rain. This research also examines system performance under NRZ and RZ modulation formats. NRZ modulation is better for light air and clear weather transmission than RZ modulation since it requires less equipment and is easier to install. Since NRZ modulation requires no clock recovery overhead, bandwidth efficiency is usually higher. In light rain, RZ modulation minimizes optical fiber dispersion, extending transmission distances and improving signal quality. NRZ excels within 10 kilometers. NRZ works for 6 km and 4 km in medium and severe rain, although RZ's dispersion tolerance and synchronization make it better for longer transmission distances. For short distances, NRZ is suitable, but for longer distances, RZ is more resilient due to its better dispersion management and signal transmission.

Keywords:

FSO,NRZ,Optisystem,RZ,Radio Frequency,WDM,

Refference:

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CYCLONE STABILITY PARAMETER: ITS NUMERICAL VALUE AND SIGNIFICANCE IN THE PERSPECTIVE OF TRACK DETERMINATION

Authors:

Indrajit Ghosh, Sukhen Das, Nabajit Chakravarty

DOI NO:

https://doi.org/10.26782/jmcms.2024.06.00008

Abstract:

The study of the dynamics of tropical cyclones constitutes a major portion of the curriculum for atmospheric science throughout the world. This is due to its enormous significance on the coastal human civilization all over the world. The increase in sea surface temperature globally has led to an increase in the frequency of tropical cyclones. As many as ten deadly tropical cyclones have hit the Coromandel Coast of the Bay of Bengal Coastline after generating depressions from the Bay of Bengal in the last decade. The most challenging part lies in the early detection of tropical depressions in the ocean bed, the consequent intensity prediction of the generated tropical cyclone, and the forecasting of the resulting path of propagation of the cyclone in landmass. For these a detailed analytic study of the related cyclone dynamics governing equations, their corresponding solution, propounding of the cyclone analytic solution model, and estimation of some critical parameters based on real cyclone data for the validation of the analytic model is of utmost importance. Radio Sonde Radio Wind (RSRW) data analysis for 5 cyclones and subsequent Cyclone Stability Parameter (CSP)determination, simplification of the complicated expression of  and its subsequent significance is the main work of this paper. The  is the representative of the entire analysis of the governing equations of tropical cyclones in the applicable coordinate system of a previously performed important work. So this work is also a validation of the previously performed analytic work. We have also analytically simplified the expression of  through some approximations and chalked out a more lucid expression which is a function of  only. This work effectively unites analytic and numerical performances for more effective prediction of tropical cyclone path of propagation in landmass after their formation in tropical oceans.

Keywords:

Cyclone Stability Parameter (CSP),Cross Radial Velocity,Radio Sonde Radio Wind (RSRW),Track Determination,Transverse Velocity,Tropical Cyclone,

Refference:

I. Baisya H., Pattanaik S., Chakraborty T., : ‘A coupled modeling approach to understand ocean coupling and energetics of tropical cyclones in the Bay of Bengal basin’. J. Atmos. Res., Vol. 246, 105902, 2020 10.1016/j.atmosres.2020.105092
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IV. Ghosh I., Chakravarty N., : ‘Tropical cyclones: expressions for velocity components and stability parameter’. J. Nat. Haz., Vol. 94, pp. 1293-1304, 2018. 10.1007/s11069-018-3477-7
V. Ghosh I., Das S., Chakravarty N., : ‘A review on tropical cyclones’. Journal of Mechanics of Continua and Mathematical Sciences, Vol. 16(12), pp. 20-48, 2021. 10.26782/jmcms.2021.12.00003
VI. Ghosh I., Das S., Chakravarty N.,: ‘RSRW Data, CSP and cyclone track prediction’. Journal of Mechanics of Continua and Mathematical Sciences, Vol. 17(2), pp. 41-51, 2022 10.26782/jmcms.2022.02.00005
VII. Ghosh I., Das S., Chakravarty N., : ‘Anomaly temperature in the genesis of tropical cyclone’. J. Nat. Haz., Vol. 114, pp. 1477-1503, 2022. 10.1007/s11069-022-05434-4
VIII. Jung B. J., Kim H. M., Kim Y. H., Jeon E., H., Kim K. H., : ‘Observation system experiments for typhoon Jangmi (200815); observed during T-Parc’. Asia. Pac. J. Atmos. Sci, Vol. 46, pp. 305-316, 2010. 10.1007/s1314: 010-1007-y
IX. Köhle M. P., Promper C., Glade T., : ‘A common methodology for risk assessment and mapping of climate change related hazards- implications for climate change adaptation policies’. MDPI Article Climate, Vol. 4(1), 8, 2016. 10.3390/cli4010008
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XVIII. Rezapour M., : ‘A new methodology of classification of tropical cyclones: the importance of rainfall’. PhD Thesis, The University of Queensland, Australia. 2015.
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THE EFFECT OF DEFECTS AND DAMAGES IN REINFORCED CONCRETE LOAD-BEARING STRUCTURES ON FURTHER OPERATING CONDITIONS

Authors:

Okolnikova Galina Erikovna, Ershov Mikhail Evgenevich, Malafeev Alexei Sergeevich

DOI NO:

https://doi.org/10.26782/jmcms.2024.07.00001

Abstract:

This article examines in detail the influence of various types of defects in reinforced concrete structures on the residual bearing capacity. The purpose of this study is to inspect a specific student dormitory with subsequent assessment of the technical condition category of reinforced concrete structures based on the results of identified defects and damage. The objectives of the work are visual inspection of the building with the identification of all defects, assessment of the suitability of the building for further operation, development of recommendations for strengthening reinforced concrete structures, and safe operation of the building. Based on the results of the inspection of reinforced concrete structures, the strength properties of concrete in the structures were determined, the most critical defects in the load-bearing elements were identified and recommendations for their strengthening were given. The relevance of this study for the construction industry is due to the following: 1) such studies are rarely conducted; 2) the issue of strengthening reinforced concrete structures is very relevant when inspecting buildings; 3) defects in reinforced concrete structures can significantly affect their bearing capacity and the assignment of a technical condition category to these load-bearing elements.

Keywords:

Collapse,Corrosion of reinforcement,Cracks in concrete,Defects in reinforced concrete elements,Inspection of buildings and structures,Protective layer of concrete,Strengthening of structures,Waterproofing,

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