Simulation and Analysis of Fault Characteristics of Distributed Solar Generation

Inverter power supply sources (DERs) are characterized by low current loss and zero negative and null series currents. Comprehension of the fault features of DER is important for fault analysis and safe relay setup. While DER modelling work has been abundant, there have been few research studies in DER fault behaviours. This paper looks at past Dominion Energy fault events. Fault scale, angle, and sequence components are evaluated to illustrate the possible difference between real DER response and previous understandings.

Some New Sets of Sequences of Fuzzy Numbers with Respect to the Partial Metric

In this paper, we essentially deal with Köthe-Toeplitz duals of fuzzy level sets defined using a partial metric. Since the utilization of Zadeh’s extension principle is quite difficult in practice, we prefer the idea of level sets in order to construct some classical notions. In this paper, we present the sets of bounded, convergent, and null series and the set of sequences of bounded variation of fuzzy level sets, based on the partial metric. We examine the relationships between these sets and their classical forms and give some properties including definitions, propositions, and various kinds of partial metric spaces of fuzzy level sets. Furthermore, we study some of their properties like completeness and duality. Finally, we obtain the Köthe-Toeplitz duals of fuzzy level sets with respect to the partial metric based on a partial ordering.

Determination of the Köthe-Toeplitz Duals over the Non-Newtonian Complex Field

The important point to note is that the non-Newtonian calculus is a self-contained system independent of any other system of calculus. Therefore the reader may be surprised to learn that there is a uniform relationship between the corresponding operators of this calculus and the classical calculus. Several basic concepts based on non-Newtonian calculus are presented by Grossman (1983), Grossman and Katz (1978), and Grossman (1979). Following Grossman and Katz, in the present paper, we introduce the sets of bounded, convergent, null series andp-bounded variation of sequences over the complex fieldC*and prove that these are complete. We propose a quite concrete approach based on the notion of Köthe-Toeplitz duals with respect to the non-Newtonian calculus. Finally, we derive some inclusion relationships between Köthe space and solidness.