198,957 research outputs found
Quantization of the dynamics of a particle on a double cone by preserving Noether symmetries
No full textThe classical quantization of the motion of a free particle and that of an harmonic oscillator on a double cone are achieved by a quantization scheme [M. C. Nucci, Theor. Math. Phys. 168 (2011) 994], that preserves the Noether point symmetries of the underlying Lagrangian in order to construct the Schrödinger equation. The result is different from that given in [K. Kowalski, J. Rembielński, Ann. Phys. 329 (2013) 146]. A comparison of the different outcomes is provided
Il sistema del verde: componente del disegno progettuale della città contemporanea in Fare Ricerca per il progetto.
No full textIl contributo illustra i contenuti della Tesi di Dottorato.
L'intero del volume riunisce 40 contributi esito di venti anni di ricerche del Dottorato in Urbanistica di Pescara Coord. A. Clementi.
Il contributo Nucci si inserisce nell'ampio quadro di problemi contemporanei dell’urbanistica e di soluzioni proposte dalle tesi
Noether symmetries and the quantization of a Liénard-type nonlinear oscillator
No full textThe classical quantization of a Liénard-type nonlinear oscillator is achieved by a quantization scheme (M. C. Nucci. Theor. Math. Phys., 168:994–1001, 2011) that preserves the Noether point symmetries of the underlying Lagrangian in order to construct the Schrödinger equation. This method straightforwardly yields the Schrödinger equation in the momentum space as given in (V. Chithiika Ruby, M. Senthilvelan, and M. Lakshmanan. J. Phys. A: Math. Gen., 45:382002, 2012), and sheds light on the apparently remarkable connection with the linear harmonic oscillator
An automatic system to locate phase-to-ground faults in medium voltage cable networks based on the wavelet analysis of high-frequency signals
No full textThe paper presents a microcontroller-based automatic system that applies the continuous wavelet analysis to the measured fault-originated electromagnetic transients in order to locate phase-to-ground faults in power distribution networks composed by coaxial cables. The paper describes the numerical procedure conceived to: (i) detect the presence of fault-originated transients superimposed to steady-state voltage waveforms, (ii) identify the faulted phase-conductor and (iii) identify the part of the fault transient that can be used to build a specific mother wavelet so to improve the fault location accuracy. The paper also describes the implementation of the procedure into an embedded microcontroller as well as its experimental validation carried out by means of analog real-time generated fault waveforms obtained from EMTP simulations. © 2011 IEEE.DESLDepartment of Electrical Engineering, University of Bologna, Bologna, Italy, Conference code: 86744, Export Date: 25 April 2012, Source: Scopus, Art. No.: 6019280, doi: 10.1109/PTC.2011.6019280, Language of Original Document: English, Correspondence Address: Paolone, M.; Department of Electrical Engineering, University of Bologna, Bologna, Italy; email: [email protected], References: Radial distribution test feeders (1991) IEEE Trans. Power Syst., 6 (3), pp. 975-985. , IEEE Distribution Planning Working Group, Aug; (1998) CIRED WG03 Fault Management, , Fault Management in Electrical Distribution Systems; (2004) IEEE Guide for Determining Fault Location on AC Transmission and Distribution Lines, , IEEE Std C37.114; Sachdev, M.S., Agarwal, R., TECHNIQUE FOR ESTIMATING TRANSMISSION LINE FAULT LOCATIONS FROM DIGITAL IMPEDANCE RELAY MEASUREMENTS. (1988) IEEE Transactions on Power Delivery, 3 (1), pp. 121-129. , DOI 10.1109/61.4237; Srinivasan, K., St-Jacques, A., New fault location algorithm for radial transmission lines with loads (1989) IEEE Transactions on Power Delivery, 4 (3), pp. 1676-1682. , DOI 10.1109/61.32658; Girgis, A.A., Hart, D.G., Peterson, W.L., A new fault location technique for two- and three-terminal lines (1992) IEEE Trans. on PWRD, 7 (1), pp. 98-107. , Jan; Magnago, F.H., Abur, A., Fault location using wavelets (1998) IEEE Trans. on PWRD, 13 (4), pp. 1475-1480. , Oct; Magnago, F.H., Abur, A., A new fault location technique for radial distribution systems based on high frequency signals (1999) Proc. IEEE-Power Eng. Soc. Summer Meeting, 1, pp. 426-431. , Jul. 18-22; Izykowski, J., Rosolowski, E., Saha, M.M., Locating faults in power transmission lines under availability of complete measurements at one end (2004) IEE Proc. Gener. Transm. Distrib., 151 (2), pp. 268-273. , Mar; Borghetti, A., Corsi, S., Nucci, C.A., Paolone, M., Peretto, L., Tinarelli, R., On the use of continuous-wavelet transform for fault location in distribution power systems (2006) International Journal of Electrical Power and Energy Systems, 28 (9 SPEC. ISS.), pp. 608-617. , DOI 10.1016/j.ijepes.2006.03.001, PII S0142061506000792; Borghetti, A., Bosetti, M., Di Silvestro, M., Nucci, C.A., Paolone, M., Continuous-Wavelet Transform for Fault Location in Distribution Power Networks: Definition of Mother Wavelets Inferred from Fault Originated Transients (2008) IEEE Trans. on PWRS, 23 (2), pp. 380-388. , May; Borghetti, A., Bosetti, M., Nucci, C.A., Paolone, M., Abur, A., Integrated Use of Time-Frequency Wave-let Decompositions for Fault Location in Distribution Networks: Theory and Experimental Validation (2010) IEEE Trans. on PWRD, 25 (4), pp. 3139-3146. , Oct; Strang, G., Nguyen, T., (1996) Wavelets and Filter Banks, , Wellesley Cambridge Press; Mahseredjian, J., Lefebvre, S., Do, X.-D., A new method for time-domain modelling of nonlinear circuits in large linear networks Proc. of 11th Power Systems Computation Conference PSCC, August 1993; Mahseredjian, J., Dennetiere, S., Dube, L., Khodabakhchian, B., Gerin-Lajoie, L., On a new approach for the simulation of transients in power systems (2007) Electric Power Systems Research, 77 (11), pp. 1514-1520. , DOI 10.1016/j.epsr.2006.08.027, PII S0378779606002094; Greenwood, A., (1991) Electrical Transients in Power Systems, , John Wiley and Sons, New York; Clarke, E., (1943) Circuit Analysis of AC Power Systems 1, , John Wiley & Sons, New York; Peretto, L., Rinaldi, P., Sasdelli, R., Tinarelli, R., Fioravanti, A., Implementation and Characterization of a System for the Evaluation of the Starting Instant of Lightning-Induced Transients (2007) IEEE Trans. on Instrumentation and Measurement, 56 (5), pp. 1955-1960. , Oct; Yamabuki, K., Borghetti, A., Napolitano, F., Nucci, C.A., Paolone, M., Peretto, L., Tinarelli, R., Vitale, R., A Distributed Measurement System for Correlating Faults to Lightning in Distribution Networks Proc. of the International Symposium on High Voltage Engineering (ISH), Ljubljana, Slovenia, Aug. 27-31, 2007; Kunt, M., (1980) Traitement Numérique des Signaux, Traité D'électricité, 20. , EPFL, Switzerland; Grandke, T., INTERPOLATION ALGORITHMS FOR DISCRETE FOURIER TRANSFORMS OF WEIGHTED SIGNALS. (1983) IEEE Transactions on Instrumentation and Measurement, IM-32 (2), pp. 350-355; Graps, A., An introduction to wavelets (1995) IEEE Computational Science and Engineering, 2 (2), pp. 50-61; De Boor, C.A., (1978) A Practical Guide to Splines, , Springer-Verlag; Lobos, T., Sikorski, T., Schegner, P., Joint time-frequency representation of non-stationary signals in electrical power engineering Proc. of the 15th Power Systems Computation Conference (PSCC'05), Liege, Belgium, 22-26 August 2005, , paper fp 97; Borghetti, A., Morched, A.S., Napolitano, F., Nucci, C.A., Paolone, M., Lightning-Induced Overvoltages Transferred Through Distribution Power Transformers (2009) IEEE Trans. on PWRD, 24 (1), pp. 360-372. , Jan; Marti, L., Simulation of transients in underground cables with frequency-dependent modal transformation matrices (1988) IEEE Trans. on PWRD, 3 (3), pp. 1099-1110. , July; Dommel, H.W., Digital computer solution of Electromagnetic Transients in single and multiphase networks (1969) IEEE Transactions on PAS, 88, pp. 388-399. , April, Sponsors: IEEE; IEEE Power and Energy Society (PES
Quantization of quadratic Liénard-type equations by preserving Noether symmetries
No full textThe classical quantization of a family of a quadratic Liénard-type equation (Liénard II equation) is achieved by a quantization scheme (Nucci 2011) [28] that preserves the Noether point symmetries of the underlying Lagrangian in order to construct the Schrödinger equation. This method straightforwardly yields the Schrödinger equation as given in Choudhury and Guha (2013) [6]
Lie point symmetries and first integrals: the Kowalevsky top
No full textWe show how the Lie group analysis method can be used in order to obtain first integrals of any system of ordinary differential equations. The method of reduction/increase of order developed by Nucci [J. Math. Phys. 37, 1772-1775 (1996)] is essential. Noether's theorem is neither necessary nor considered. The most striking example we present is the relationship between Lie group analysis and the famous first integral of the Kowalevski top. (C) 2003 American Institute of Physics
Lie symmetries of a Painleve'-type equation without Lie symmetries
No full textWe use a method inspired by the Jacobi last multiplier [M. C. Nucci, Jacobi last multiplier and Lie symmetries: a novel application of an old relationship, J. Nonlinear Math. Phys. 12, 284-304 (2005)] in order to find Lie symmetries of a Painleve-type equation without Lie point symmetries
Nonclassical symmetries for a class of reaction-diffusion equations: the method of heir-equations
No full textThe nonclassical symmetries method is applied to a class of reaction-diffusion equations with nonlinear source,
i.e. ut = uxx +cux +R(u, x). Several cases are obtained by using suitable solutions of the heir-equations as
described in [M.C. Nucci, Nonclassical symmetries as special solutions of heir-equations, J. Math. Anal. Appl.
279 (2003) 168–179]
Maximally superintegrable systems in flat three-dimensional space are linearizable
No full textAll maximally superintegrable Hamiltonian systems in three-dimensional flat space derived in the work of Evans [Phys. Rev. A 41, 5666-5676 (1990)] are shown to possess hidden symmetries leading to their linearization, likewise the maximally superintegrable Hamiltonian systems in two-dimensional flat space as shown in the work of Gubbiotti and Nucci [J. Math. Phys. 58, 012902 (2017)]. We conjecture that even minimally superintegrable systems in three-dimensional flat space have hidden symmetries that make them linearizable
Reduction of the classical MICZ-Kepler problem to a two-dimensional linear isotropic harmonic oscillator
No full textThe classical MICZ-Kepler problem is shown to be reducible to an isotropic two-dimensional system of linear harmonic oscillators and a conservation law in terms of new variables related to the Ermanno-Bernoulli constants and the components of the Poincare vector. An algorithmic route to linearization is shown based on Lie symmetry analysis and the reduction method [Nucci, J. Math. Phys. 37, 1772 (1996) ]. First integrals are also obtained by symmetry analysis and the reduction method [Marcelli and Nucci,J. Math. Phys. 44, 2111 (2002) ]
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