Some Characterization of the Function Space Type of Lizorkin−Triebel−Morrey
Rena Eldar Kizi Kerbalayeva
Issue:
Volume 6, Issue 4, July 2021
Pages:
59-64
Received:
29 May 2021
Accepted:
8 June 2021
Published:
30 August 2021
Abstract: This paper will introduce you to some properties of normed function spaces with many groups variables field of Analysis and it helps me appreciate how normed Lebesgue–Morrey space with many groups of variables that build and studied new normed spaces nowadays. Many of the topics here are important to an Analysis class. By reading this paper, you will discover the “embedding theory” of normed spaces type of Lebesgue–Morrey by introducing few of its “new functions with groups with variables” and along the way you will see to some interesting and article elements of the branch called Analysis. A lot of problems belonging to the characterization of various spaces of differentiability function spaces and relationships between them have been solved using the theory embedding theorems. The purpose of this paper is to review several embedding inequalities of normed spaces that will arise properties of these spaces and again throughout this material. We also give “working definition, notations” of a functions and function spaces. We must note that, the analysis is based on such function spaces to build new space type of Lizorkin–Triebel–Morrey. In addition, throughout this paper we will introduce a working normed function spaces type of Lizorkin–Triebel–Morrey with standard mathematical definitions and terminology. One aspect of this paper involves normed Lebesgue–Morey type spaces that can convert space from one to another.
Abstract: This paper will introduce you to some properties of normed function spaces with many groups variables field of Analysis and it helps me appreciate how normed Lebesgue–Morrey space with many groups of variables that build and studied new normed spaces nowadays. Many of the topics here are important to an Analysis class. By reading this paper, you wi...
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New Iterative Method Based Jacobian Matrix and λopt to Solve Power Flow Equation for Islanded MGs
Ali Ghorbani Dehaghani,
Rohallah Pourbagher,
Heidar Mozafari Vanani
Issue:
Volume 6, Issue 4, July 2021
Pages:
65-70
Received:
16 July 2021
Accepted:
28 July 2021
Published:
6 September 2021
Abstract: Power flow analysis and calculation play an essential role in analysis of electrical power system. Solving the load flow equations of an electrical power system are very sensitive to the value of the right-hand side constant vector or to the value of the coefficients of the Jacobian matrix, the equations of the electrical power system are called to be ill-conditioned. In an ill-conditioned case study, the determinant of the Jacobian matrix is close to singular or singular. Computing the set of load flow equations of an electrical power system may sometimes lead to the incidence of the ill-conditioned equations. The ill-conditioning mood in MGs power system is due to several reasons such as the situation of the reference bus, high value of r/x ratio of power system's lines, connections of very low and very high impedance power system's lines at a bus and heavy loading condition of an electrical power system. In an islanded MG, the use of traditional PFA is not effective as the voltage of the swing or slack bus and the frequency of the MG are assumed to be constant. This paper proposes a simple and effective iterative method based on the Jacobian matrix λopt to solve the PF equation for islanded MGs. The new proposed technique prepares a simple, straightforward for implementation, and precise technique to calculate the PF equations for MGs. The new suggested technique is exerted to the 38-bus case study electrical power system. The outcomes are compared against simulation outcomes that accredit the efficiency of the new technique.
Abstract: Power flow analysis and calculation play an essential role in analysis of electrical power system. Solving the load flow equations of an electrical power system are very sensitive to the value of the right-hand side constant vector or to the value of the coefficients of the Jacobian matrix, the equations of the electrical power system are called to...
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