S.M. Perovich

Bio: S.M. Perovich is an academic researcher from University of Montenegro. The author has contributed to research in topics: Transcendental equation & Nonlinear system. The author has an hindex of 10, co-authored 26 publications receiving 248 citations.

The transcendental method in the theory of neutron slowing down

Abstract: The transcendental method for finding the exact analytical closed-form solution to the linear unidimensional integral equation of neutron slowing down with energy-dependent cross-section in an infinite homogeneous medium is studied in some detail. An original method of genesis of the isomorphic integral form of the process, and genesis of the general form of the analytical solution is applied. This, together with the exact solution of the transcendental equation of order one also determined, constitutes the exact solution of the problem. The numerical results obtained for different magnitudes of absorption rates and for different moderator masses show agreement with more conventional solutions, like those of Teichmann (1961) and Sengupta (1974). The conditions for the existence of the exact solutions are discussed.

Transcendental method in nonlinear circuit theory

Abstract: The problem of finding the analytical closed-form solution to the current in the RC diode nonlinear circuit is studied in some detail. The well-known differential equation for this circuit is reduced to the nondimensional transcendental equation of the form Y+A=BY/sup h/, 0

Concerning the analytical solution of the dispersive equation in the linear transport theory

Abstract: The transcendental method for finding the analytical closed-form solution to the dispersive equation in the Linear Transport Theory is studied in some detail. The mathematical genesis of general form of the analytical solution is presented. This solution is exact according to the new closed-form representation of the numbers with desired accuracy in the transcendental method theory. This approach implies the qualitative improvement of the more conventional method such as successive approximations. The numerical results, obtained for different magnitudes of the cross section parameter c, support the validity and basic principles of the transcendental method. The conditions for the existence of the exact solution are discussed.

Direct MPP Calculation in Terms of the Single-Diode PV Model Parameters

Abstract: In this paper, new expressions are introduced for the determination of the maximum power point (MPP) of photovoltaic (PV) systems as explicit functions of the five parameters of the single-diode model employing the Lambert W function. These equations provide the voltage and current at MPP in a direct and straightforward manner, thus dispensing with any need for iterative solution. They are initially derived for a PV system operating under uniform conditions, and subsequently extended for mismatched conditions at the PV string level. The novelty of these formulae lies in their solid theoretical foundation, which supports their validity in the general case and offers a well-founded symbolic formulation for the MPP evaluation problem. Extended simulations and experimental validation are performed to verify the accuracy and computational efficiency of the proposed equations compared with other methods available in the literature.

Photovoltaic electricity generator dynamic modeling methods for smart grid applications: A review

Abstract: This paper presents a comprehensive review on mathematical modeling methods of photovoltaic (PV) solar cell/module/array which can be used for power system dynamic modeling purpose. The intermittent and non-linear properties of PV solar cells necessitate accurate modeling of such elements for power system studies. Large scale integration of photovoltaic distributed generation (PVDG) systems into the smart power grid can adversely affect the stability of whole network if the solar plant is not designed properly. A model of solar cell which can predict the PV system output precisely would be helpful to improve reliability and stability of the intelligent utility network. For the smart grid applications which integrate the rapidly growing technologies together with renewable resources, the suitable dynamic model of PV plant is very essential at preliminary evaluation steps. In this paper, a new classification is presented on existing PV cell/module/array modeling methods. Modeling techniques are categorized in two main classes, namely, circuitry based methods and equation based methods. The former class encompasses two sub-classes i.e. embedded function blocks (EFBs) and piecewise linear circuit (PLC) techniques. The second class also consists of two sub-classes i.e. analytical and numerical techniques. The characteristics of each class and its sub-classes are also analyzed and compared to others. Comparison between the methods in both categories indicates that the former class is easy to implement in power system simulation software. The latter class can be exploited to estimate parameters of solar cell in collaboration with EFBs method and vice versa. The second class is more accurate than the first although its computational burden is further. It is envisaged that this paper can serve researchers and designers who work in the field of solar power plant dynamic modeling as useful source of information.