Today's power systems are seeing a paradigm shift under the energy transition, sparkled by electrification of demand, digitalisation systems, and an increasing share decarbonated generation. Most these changes have direct impact on their control centers, forcing them to handle weather-based resources, new interconnections with neighbouring transmission networks, more markets, active distributio...

Even the best quality 2D materials have non-negligible concentrations of vacancies and impurities. It is critical to understand quantify how defects change intrinsic properties, use this knowledge generate functionality. This challenge can be addressed by employing many-body perturbation theory obtain optical absorption spectra defected transition metal dichalcogenides. Herein vacancies, which ...

Fuzzy c-means (FCM) clustering is based on minimizing the fuzzy within cluster scatter matrix trace but FCM neglects the between cluster scatter matrix trace that controls the distances between the class centroids. Based on the principle of cluster centers separation, fuzzy cluster centers separation (FCCS) clustering is an extended fuzzy c-means (FCM) clustering algorithm. FCCS attaches import...

This note presents the explicit form of the Laplace transform of the state transition matrix in the case of a system matrix being a companion matrix. Starting from this special case, we show how to compute the Laplace transform of the state transition matrix for any system matrix.1

 This paper is concerned with deriving, using logistic and Markov chain theoretic methodologies, a transition matrix for a multi-echelon educational system. The explanatory variables of the logistic model are the school differential variables, and the transition matrix of the Markov chain is the non-homogeneous empirical transition matrix (NHETM). We compare the NHETM with the periodically upd...

Europium doped transparent lead fluorophosphate glass ceramics successfully were prepared with heat treatment of precourse glasses at temperature above glass transition (Tg). X-ray diffraction (XRD) experiment evidenced the formation of PbF2 nanocrystals in glassy matrix. The emission spectra investigation indicate that considerable amount of Eu3+ ions were trapped in crystalline phase, and the...

Detailed modeling of a grinding mill can be achieved through Markov chain models without involving lengthy computations. However, estimation of the key parameters of the model, elements of the Markov transition matrix, using observable quantities is not trivial. This powerful modeling tool can find wide applicability in operation and control of industrial mills if this set of parameters can be ...

Infinite level-dependent quasi-birth-and-death (LDQBD) processes can be used to model Markovian systems with countably infinite multidimensional state spaces. Recently it has been shown that sums of Kronecker products can be used to represent the nonzero blocks of the transition rate matrix underlying an LDQBD process for models from stochastic chemical kinetics. This paper extends the form of ...