15 research outputs found
Intelligent reactive power control of a renewable integrated hybrid energy system model using static synchronous compensators and soft computing techniques
No full textModern power system faces a severe problem of instability, largely due to inconsistent reactive power. It causes damage to the power grid within a few milliseconds. Therefore, proper management of reactive power under disturbing situations plays a key role in its safe operation. Devices such as flexible alternating current transmission systems (FACTS) accurately manage the system’s reactive power in accordance with the load demand. In this study, a new reactive power control strategy is employed for optimization of the reactive power along with the stability improvement of the system under different small perturbed conditions. Therefore, this study focuses on controlling the reactive power for an isolated wind-diesel hybrid power system model (WDHPSM) with the aid of a static synchronous compensator (STATCOM) together with the use of an integral minus proportional derivative (IPD) controller keeping a derivative-based filter (IPDF) as a secondary controller for better utilization of its purpose. The obtained results are compared when the no-control strategy is applied in the model. Another comparison has been done between the multiple applied soft computing techniques (oppositional harmonic search, ant lion optimization, binary-coded genetic algorithm, and symbiosis organisms search) that optimize the parameters of the controller of WDHPSM
Stabilization of Cart-Pole System-A Linear Quadratic Gaussian Control and Robust H-infinity Control Design and Comparative Approach
No full textA case study of 2019-nCOV cases in Argentina with the real data based on daily cases from March 03, 2020 to March 29, 2021 using classical and fractional derivatives
No full text[EN] In this study, our aim is to explore the dynamics of COVID-19 or 2019-nCOV in Argentina considering the parameter values based on the real data of this virus from March 03, 2020 to March 29, 2021 which is a data range of more than one complete year. We propose a Atangana-Baleanu type fractional-order model and simulate it by using predictor-corrector (P-C) method. First we introduce the biological nature of this virus in theoretical way and then formulate a mathematical model to define its dynamics. We use a well-known effective optimization scheme based on the renowned trust-region-reflective (TRR) method to perform the model calibration. We have plotted the real cases of COVID-19 and compared our integer-order model with the simulated data along with the calculation of basic reproductive number. Concerning fractional-order simulations, first we prove the existence and uniqueness of solution and then write the solution along with the stability of the given P-C method. A number of graphs at various fractional-order values are simulated to predict the future dynamics of the virus in Argentina which is the main contribution of this paper.The third author is supported by MICINN and FEDER, Project PID2019-105011GB-I00.Kumar, P.; Erturk, VS.; Murillo Arcila, M.; Banerjee, R.; Manickam, A. (2021). A case study of 2019-nCOV cases in Argentina with the real data based on daily cases from March 03, 2020 to March 29, 2021 using classical and fractional derivatives. Advances in Difference Equations. 2021(1):1-21. https://doi.org/10.1186/s13662-021-03499-2S12120211Wu, Z., McGoogan, J.M.: Characteristics of and important lessons from the coronavirus disease 2019 (Covid-19) outbreak in China: summary of a report of 72 314 cases from the Chinese center for disease control and prevention. JAMA 323(13), 1239–1242 (2020)Zhang, C., Zheng, W., Huang, X., Bell, E.W., Zhou, X., Zhang, Y.: Protein structure and sequence reanalysis of 2019-ncov genome refutes snakes as its intermediate host and the unique similarity between its spike protein insertions and hiv-1. J. Proteome Res. 19(4), 1351–1360 (2020)Hui, D.S., Azhar, E.I., Madani, T.A., Ntoumi, F., Kock, R., Dar, O., Ippolito, G., Mchugh, T.D., Memish, Z.A., Drosten, C., et al.: The continuing 2019-ncov epidemic threat of novel coronaviruses to global health—the latest 2019 novel coronavirus outbreak in Wuhan, China. Int. J. Infect. Dis. 91, 264–266 (2020)Elfiky, A.A., Mahdy, S.M., Elshemey, W.M.: Quantitative structure-activity relationship and molecular docking revealed a potency of anti-hepatitis C virus drugs against human corona viruses. J. Med. Virol. 89(6), 1040–1047 (2017)Li, X., Zai, J., Zhao, Q., Nie, Q., Li, Y., Foley, B.T., Chaillon, A.: Evolutionary history, potential intermediate animal host, and cross-species analyses of Sars-Cov-2. J. Med. Virol. 92(6), 602–611 (2020)Wrapp, D., Wang, N., Corbett, K.S., Goldsmith, J.A., Hsieh, C.-L., Abiona, O., Graham, B.S., McLellan, J.S.: Cryo-em structure of the 2019-ncov spike in the prefusion conformation. Science 367(6483), 1260–1263 (2020)Villar, J., Zhang, H., Slutsky, A.S.: Lung repair and regeneration in ards: role of pecam1 and wnt signaling. Chest 155(3), 587–594 (2019)Wang, H., Ma, S.: The cytokine storm and factors determining the sequence and severity of organ dysfunction in multiple organ dysfunction syndrome. Am. J. Emerg. Med. 26(6), 711–715 (2008)Wan, Y., Shang, J., Graham, R., Baric, R.S., Li, F.: Receptor recognition by the novel coronavirus from Wuhan: an analysis based on decade-long structural studies of Sars coronavirus. J. Virol. 94(7), e00127-20 (2020)Tang, N.L.-S., Chan, P.K.-S., Wong, C.-K., To, K.-F., Wu, A.K.-L., Sung, Y.-M., Hui, D.S.-C., Sung, J.J.-Y., Lam, C.W.-K.: Early enhanced expression of interferon-inducible protein-10 (cxcl-10) and other chemokines predicts adverse outcome in severe acute respiratory syndrome. Clin. Chem. 51(12), 2333–2340 (2005)Gu, J., Korteweg, C.: Pathology and pathogenesis of severe acute respiratory syndrome. Am. J. Pathol. 170(4), 1136–1147 (2007)Ho, J.C., Chan, K.N., Hu, W.H., Lam, W.K., Zheng, L., Tipoe, G.L., Sun, J., Leung, R., Tsang, K.W.: The effect of aging on nasal mucociliary clearance, beat frequency, and ultrastructure of respiratory cilia. Am. J. Respir. Crit. Care Med. 163(4), 983–988 (2001)Kumar, P., Erturk, V.S., Murillo-Arcila, M.: A new fractional mathematical modelling of Covid-19 with the availability of vaccine. Results Phys. 24, 104213 (2021)Kumar, P., Erturk, V.S.: A case study of Covid-19 epidemic in india via new generalised Caputo type fractional derivatives. Math. Methods Appl. Sci., 1–14 (2021)Kumar, P., Erturk, V.S., Abboubakar, H., Nisar, K.S.: Prediction studies of the epidemic peak of coronavirus disease in Brazil via new generalised Caputo type fractional derivatives. Alex. Eng. J. 60(3), 3189–3204 (2021)Nabi, K.N., Kumar, P., Erturk, V.S.: Projections and fractional dynamics of Covid-19 with optimal control strategies. Chaos Solitons Fractals 145, 110689 (2021)Erturk, V.S., Kumar, P.: Solution of a Covid-19 model via new generalized Caputo-type fractional derivatives. Chaos Solitons Fractals 139, 110280 (2020)Gao, W., Veeresha, P., Baskonus, H.M., Prakasha, D., Kumar, P.: A new study of unreported cases of 2019-ncov epidemic outbreaks. Chaos Solitons Fractals 138, 109929 (2020)Kumar, P., Suat Erturk, V.: The analysis of a time delay fractional Covid-19 model via Caputo type fractional derivative. Math. Methods Appl. Sci., 1–14 (2020)Atangana, A., Araz, S.İ.: Modeling and forecasting the spread of Covid-19 with stochastic and deterministic approaches: Africa and Europe. Adv. Differ. Equ. 2021(1), 1 (2021)Atangana, A.: Modelling the spread of Covid-19 with new fractal-fractional operators: can the lockdown save mankind before vaccination? Chaos Solitons Fractals 136, 109860 (2020)Atangana, A., Araz, S.İ.: Mathematical model of Covid-19 spread in Turkey and South Africa: theory, methods, and applications. Adv. Differ. Equ. 2020(1), 1 (2020)Atangana, A., et al.: A novel Covid-19 model with fractional differential operators with singular and non-singular kernels: analysis and numerical scheme based on Newton polynomial. Alex. Eng. J. 60(4), 3781–3806 (2021)Bulut, H., Kumar, D., Singh, J., Swroop, R., Baskonus, H.M.: Analytic study for a fractional model of hiv infection of cd4+ t lymphocyte cells. Math. Nat. Sci. 2(1), 33–43 (2018)Zhoua, Y.-H., Yang, Y., Zhang, H.: Stability of non-monotone critical waves in a population dynamics model with spatio-temporal delay. Math. Nat. Sci. 2, 8–23 (2018)Musa, S.S., Qureshi, S., Zhao, S., Yusuf, A., Mustapha, U.T., He, D.: Mathematical modeling of Covid-19 epidemic with effect of awareness programs. Infect. Dis. Model. 6, 448–460 (2021)Memon, Z., Qureshi, S., Memon, B.R.: Assessing the role of quarantine and isolation as control strategies for Covid-19 outbreak: a case study. Chaos Solitons Fractals 144, 110655 (2021)Kumar, P., Suat Ertürk, V., Nisar, K.S.: Fractional dynamics of huanglongbing transmission within a citrus tree. Math. Methods Appl. Sci. (2021)Kumar, P., Erturk, V.S., Murillo-Arcila, M.: A complex fractional mathematical modeling for the love story of layla and majnun. Chaos Solitons Fractals 150, 111091 (2021)Kumar, P., Erturk, V.S., Yusuf, A., Kumar, S.: Fractional time-delay mathematical modeling of oncolytic virotherapy. Chaos Solitons Fractals 150, 111123 (2021)Abboubakar, H., Kumar, P., Erturk, V.S., Kumar, A.: A mathematical study of a tuberculosis model with fractional derivatives. Int. J. Model. Simul. Sci. Comput. (2021)Kumar, P., Rangaig, N.A., Abboubakar, H., Kumar, S.: A malaria model with Caputo–Fabrizio and Atangana–Baleanu derivatives. Int. J. Model. Simul. Sci. Comput. 12(2), 2150013 (2020)Kumar, P., Erturk, V.S., Yusuf, A., Nisar, K.S., Abdelwahab, S.F.: A study on canine distemper virus (cdv) and rabies epidemics in the red fox population via fractional derivatives. Results Phys. 25, 104281 (2021)Kumar, P., Erturk, V.S., Almusawa, H.: Mathematical structure of mosaic disease using microbial biostimulants via Caputo and Atangana–Baleanu derivatives. Results Phys. 24, 104186 (2021)Kumar, P., Erturk, V.S.: Environmental persistence influences infection dynamics for a butterfly pathogen via new generalised Caputo type fractional derivative. Chaos Solitons Fractals 144, 110672 (2021)Nabi, K.N., Abboubakar, H., Kumar, P.: Forecasting of Covid-19 pandemic: from integer derivatives to fractional derivatives. Chaos Solitons Fractals 141, 110283 (2020)Van den Driessche, P., Watmough, J.: Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math. Biosci. 180(1–2), 29–48 (2002)Nabi, K.N.: Forecasting Covid-19 pandemic: a data-driven analysis. Chaos Solitons Fractals 139, 110046 (2020)Politologue.com: Coronavirus (Covid19), https://coronavirus.politologue.com/coronavirus-cameroun.CM. 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A theoretical and numerical analysis of a fractal–fractional two-strain model of meningitis
No full textMeningitis is an inflammation of the membranes that surround and protect the brain and spinal cord. Typically, the enlargement is caused by a bacterial or viral infection of the fluid around the brain and spinal cord. For many years, licensed vaccinations against meningococcal, pneumococcal, and Haemophilus influenzae diseases have been accessible. Vaccines are meant to protect against the most dangerous strains of these germs, which are known as serotypes or serogroups. There have been significant increases in strain coverage and vaccine availability throughout time, but there is no universal vaccine against these illnesses. In this study, we explore the mathematical features of a new six-compartmental fractal–fractional two-strain model of meningitis. With the use of compact functions and ϕ−ψ-contractions, we establish the existence of solutions. To study the unique solutions, we employ the Banach principle. On the basis of the Hyers-Ulam definition for the fractal–fractional two-strain model of meningitis, stable solutions are examined. From the numerical simulations, we notice that as the fractal–fractional order decreases, the number of infected individuals with strain 1 of meningitis decreases, while the number of infected individuals with strain 2 rises. This means that all serotypes or serogroups need to be controlled effectively for the disease to be closed up
