In a (1 : b) Maker-Breaker game, one of the central questions is to find the maximal value of b that allows Maker to win the game (that is, the critical bias b∗). Erdős conjectured that the critical bias for many Maker-Breaker games played on the edge set of Kn is the same as if both players claim edges randomly. Indeed, in many Maker-Breaker games, “Erdős Paradigm” turned out to be true. There...

Nowaday, the traditional circuit breaker is which action slow, poor reliability, can not meet large grid interconnection and flexible AC transmission requirements. To address those shortcomings of traditional circuit breaker, an idear is put forward that traditional mechanical circuit breaker combinates of power electronic switch-IGCT to build a new type of hybrid circuit breaker device (Hybrid...

We study the following Maker/Breaker game. Maker and Breaker take turns in choosing vertices from a given n-uniform hypergraph F , with Maker going first. Maker’s goal is to completely occupy a hyperedge and Breaker tries to avoid this. Beck conjectures that if the maximum neighborhood size of F is at most 2 then Breaker has a winning strategy. We disprove this conjecture by establishing an n-u...

We consider a tic-tac-toe game played on the d-dimensional integer lattice. The game that we investigate is a Maker–Breaker version of tic-tac-toe. In a Maker– Breaker game, the first player, Maker, only tries to occupy a winning line and the second player, Breaker, only tries to stop Maker from occupying a winning line. We consider the bounded number of directions game, in which we designate a...

The aim of this work is to analyse the formation mechanisms large-scale coherent structures in flow around a wall-mounted square cylinder, due their impact on pollutant transport within cities. To end, we assess causal relations between modes reduced-order model obtained by applying proper-orthogonal decomposition high-fidelity-simulation data case under study. are identified using conditional ...

In this paper we analyze biased Maker-Breaker games and Avoider-Enforcer games, both played on the edge set of a random board G ∼ G(n, p). In Maker-Breaker games there are two players, denoted by Maker and Breaker. In each round, Maker claims one previously unclaimed edge of G and Breaker responds by claiming b previously unclaimed edges. We consider the Hamiltonicity game, the perfect matching...

We show that there is an m = 2n + o(n), such that, in the Maker-Breaker game played on Z where Maker needs to put at least m of his marks consecutively in one of n given winning directions, Breaker can force a draw using a pairing strategy. This improves the result of Kruczek and Sundberg [15] who showed that such a pairing strategy exits if m ≥ 3n. A simple argument shows that m has to be at l...

Abstract Utility engineers faced with the challenges of integrating new generation into existing power systems, clearing faults more quickly or finding an alternative to SF6 breakers will soon have a new product to meet all of their needs: a solid state current limiting circuit breaker. Electric utilities have long wished for a practical, reasonably priced, solid state circuit breaker which cou...

A new multiresolution based pattern recognition approach is proposed for fault diagnosis of distribution switchgear. The wavelet transform is used to extract the key features from the vibration spectra following circuit breaker operation. These features are then used to plot a 2-D diagram or condition map. This map displays clearly the actual condition of the circuit breaker and it can also be ...

Vacuum circuit breaker becomes more and more complicated, integrated, high-speed and intellectualized. To insure vacuum circuit breaker in its good conditions, the function of fault diagnosis gets more important than before in the process of repairing. This paper is addressed a modelbased fault detection framework for vacuum circuit breaker by trip coil analysis. At first, the electromagnetic m...