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...

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...

Pyro-breaker, a fast-responding, highly reliable and explosive-driven circuit breaker, is utilized in several Quench Protection Systems (QPS). The commutation process its parameters are the main technical considerations of designing new pyro-breaker. parameters, such as time current change rate, not only determined by electrical but also arc behavior during operation. greatly affected structure...

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...

ENGLISH) Motivated by economic pressures, power utilities are increasingly looking for new ways of reducing their costs while maintaining the quality of supply. A promising concept is predictive or condition based maintenance of high voltage equipment, based on continuos knowledge of each device’s condition. Power transformers and high voltage circuit breakers (HVCBs) have been the focus of att...

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 ...

This paper describes a three-dimensional thermal model of the current path included in the low voltage power circuit breakers. The model can be used to analyse the thermal behaviour of the current path during both steady-state and transient conditions. The current path lengthwise temperature distribution and timecurrent characteristic of the terminal connections of the power circuit breaker hav...

Nowadays, the electric connection circuits of power plants (based on fossil fuels as well as renewable sources) entail generator circuit-breakers (GCBs) at the generator terminals, since the presence of that electric equipment offers many advantages related to the sustainability of a power plant. In an alternating current (a.c.) circuit the interruption of a short circuit is performed by the ci...