Interconnected power system networks are multi loop structured. Settings determination of all over current and distance relays in such networks can be in different forms and complicated. The main problem is the determination of starting points i.e. the location of starting relays in the procedure for settings, which is referred to as break points. In this paper, a new approach based on graph th...

Many experiments record sequential trajectories where each trajectory consists of oscillations and fluctuations around zero. Such can be viewed as zero-mean functional data. When there are structural breaks (on the sequence trajectories) in higher order moments, it is not always easy to spot these by mere visual inspection. Motivated this challenging problem brain signal analysis, we propose a ...

module over a ring is a general mathematical concept for many examples of mathematicalobjects that can be added to each other and multiplied by scalar numbers.in this paper, we consider a module over a ring as a universe and by using the notion of reference points, we provide local approximations for  subsets of the universe.

We propose an integer linear programming (ILP) formulation for the minimum relay break point set (BPS) computation. Subsequently, in the ILP framework, we propose an alternate maximum-independent relay BPS formulation with the intention of minimizing dependency within the BPS. We show that 1) in practice, the relaxed version of the ILP suffices to obtain an integral vertex and 2) the relaxed ve...

In  this  research,  biological  removal  of  phenol  and  orthonitrophenol  (2NP)  pollutants  from wastewater  by  continuous  moving  bed  sequencing  batch  reactor  (MSBR)  was  studied.  The experiments were conducted in various operational conditions to find out the optimum level of the significant  parameters.  Best  performance  for  removal  of  Phenols  was  achieved  when  parameter...