The Periodic Solutions of a Class of Difference Equations

Abstract

In this paper, we study the periodic solutions of a class of difference equations and give a necessary and sufficient condition under which the nonnegative solutions of the equation converge to a 2 k -periodic solution by using relevant theoretical knowledge such as upper and lower limits and congruence. Finally, the theoretical results are verified by numerical simulation. The method used in this paper provides an idea for the study of high periodic solutions.

Analysis of the behavioural capabilities of electric heating loads to participate in power system power regulation

“…Existing studies have mainly analysed the regulation capacity of electric heating through the establishment of a power system model based on market mechanisms or technical means such as smart meters [2]. In this paper, we calculated and analysed the electricity consumption behaviour of electric heating loads in typical households and the regulation capability of electric heating loads to participate in the power grid by means of the settotal parameter equivalence model of the room temperature change process and the establishment of difference equations by the bilinear discretization method [3].…”