scholarly journals Fluctuation theory for the Ehrenfest urn via electric networks

1993 ◽  
Vol 25 (2) ◽  
pp. 472-476 ◽  
Author(s):  
José Luis Palacios
Keyword(s):  
Fluctuation Theory ◽  
Network Approach ◽  
Urn Model ◽  
Electric Networks ◽  
First Passage ◽  
Electric Network ◽  
Opposite Vertex

Using the electric network approach, we give very simple derivations for the expected first passage from the origin to the opposite vertex in thed-cube (i.e. the Ehrenfest urn model) and the Platonic graphs.

scholarly journals Fluctuation theory for the Ehrenfest urn via electric networks

1993 ◽  
Vol 25 (02) ◽  
pp. 472-476 ◽  
Author(s):  
José Luis Palacios
Keyword(s):  
Fluctuation Theory ◽  
Network Approach ◽  
Urn Model ◽  
Electric Networks ◽  
First Passage ◽  
Electric Network ◽  
Opposite Vertex

Using the electric network approach, we give very simple derivations for the expected first passage from the origin to the opposite vertex in the d-cube (i.e. the Ehrenfest urn model) and the Platonic graphs.

Fluctuation Theory for the Ehrenfest urn

1991 ◽  
Vol 23 (03) ◽  
pp. 598-611 ◽  
Author(s):  
N. H. Bingham
Keyword(s):  
Random Walk ◽  
Statistical Mechanics ◽  
Continuous Time ◽  
Reliability Theory ◽  
Unit Cube ◽  
Fluctuation Theory ◽  
Urn Model ◽  
First Passage ◽  
Opposite Vertex

The Ehrenfest urn model withdballs, or alternatively random walk on the unit cube inddimensions, is considered in discrete and continuous time, together with related models. Attention is focused on the fluctuation theory of the model—behaviour on unusual states—and in particular on first passage to the opposite vertex. Applications to statistical mechanics, reliability theory and genetics are surveyed, and some new results are obtained.

Fluctuation Theory for the Ehrenfest urn

1991 ◽  
Vol 23 (3) ◽  
pp. 598-611 ◽  
Author(s):  
N. H. Bingham
Keyword(s):  
Random Walk ◽  
Statistical Mechanics ◽  
Continuous Time ◽  
Reliability Theory ◽  
Unit Cube ◽  
Fluctuation Theory ◽  
Urn Model ◽  
First Passage ◽  
Opposite Vertex

The Ehrenfest urn model with d balls, or alternatively random walk on the unit cube in d dimensions, is considered in discrete and continuous time, together with related models. Attention is focused on the fluctuation theory of the model—behaviour on unusual states—and in particular on first passage to the opposite vertex. Applications to statistical mechanics, reliability theory and genetics are surveyed, and some new results are obtained.

scholarly journals Another Look at the Ehrenfest Urn Via Electric Networks

1994 ◽  
Vol 26 (03) ◽  
pp. 820-824 ◽  
Author(s):  
José Luis Palacios
Keyword(s):  
Closed Form ◽  
Hitting Times ◽  
Network Approach ◽  
Urn Model ◽  
Electric Networks ◽  
Electric Network

Using the electric network approach, we give closed-form formulas for the expected hitting times in the Ehrenfest urn model.

scholarly journals Another Look at the Ehrenfest Urn Via Electric Networks

1994 ◽  
Vol 26 (3) ◽  
pp. 820-824 ◽  
Author(s):  
José Luis Palacios
Keyword(s):  
Closed Form ◽  
Hitting Times ◽  
Network Approach ◽  
Urn Model ◽  
Electric Networks ◽  
Electric Network

Using the electric network approach, we give closed-form formulas for the expected hitting times in the Ehrenfest urn model.

Study of the operation of an artificial neural network that works in the electric network in order to prevent emergency conditions.

2020 ◽  
Vol 14 (1) ◽  
pp. 48-54
Author(s):  
D. Ostrenko ◽  
Keyword(s):  
Neural Networks ◽  
Learning Algorithm ◽  
Electricity Consumption ◽  
Electrical Energy ◽  
Energy System ◽  
Electrical Networks ◽  
Electric Networks ◽  
Electric Network ◽  
Time Dynamics ◽  
Emergency Situations

Emergency modes in electrical networks, arising for various reasons, lead to a break in the transmission of electrical energy on the way from the generating facility to the consumer. In most cases, such time breaks are unacceptable (the degree depends on the class of the consumer). Therefore, an effective solution is to both deal with the consequences, use emergency input of the reserve, and prevent these emergency situations by predicting events in the electric network. After analyzing the source [1], it was concluded that there are several methods for performing the forecast of emergency situations in electric networks. It can be: technical analysis, operational data processing (or online analytical processing), nonlinear regression methods. However, it is neural networks that have received the greatest application for solving these tasks. In this paper, we analyze existing neural networks used to predict processes in electrical systems, analyze the learning algorithm, and propose a new method for using neural networks to predict in electrical networks. Prognostication in electrical engineering plays a key role in shaping the balance of electricity in the grid, influencing the choice of mode parameters and estimated electrical loads. The balance of generation of electricity is the basis of technological stability of the energy system, its violation affects the quality of electricity (there are frequency and voltage jumps in the network), which reduces the efficiency of the equipment. Also, the correct forecast allows to ensure the optimal load distribution between the objects of the grid. According to the experience of [2], different methods are usually used for forecasting electricity consumption and building customer profiles, usually based on the analysis of the time dynamics of electricity consumption and its factors, the identification of statistical relationships between features and the construction of models.

scholarly journals USE OF MATHEMATICAL METHODS FOR OPTIMIZATION OF 110 KV ELECTRIC NETWORK DEVELOPMENT

2020 ◽  
Author(s):  
Maksym Hrebenichenko
Keyword(s):  
Power Systems ◽  
Power Supply ◽  
Capacity Constraints ◽  
Power Lines ◽  
Network Development ◽  
Mathematical Methods ◽  
Electric Networks ◽  
Electric Network ◽  
Supply Capacity

At optimization of development of electric networks of power systems voltage and a configuration of networks are chosen, the order of construction of objects of electric networks is established. The criterion of optimality in optimization is the sum of dynamic consolidated costs for all network elements. The decision must take into account the dynamics of development of power systems networks, requirements for reliability and quality of power supply, capacity constraints on power lines and transformer substations.

scholarly journals Resistance Distances in Linear Polyacene Graphs

2021 ◽  
Vol 8 ◽  
Author(s):  
Dayong Wang ◽  
Yujun Yang
Keyword(s):  
Connected Graph ◽  
Exact Expression ◽  
Effective Resistance ◽  
Electrical Network ◽  
Combinatorial Approach ◽  
Network Approach ◽  
Resistance Distance ◽  
Electric Network

The resistance distance between any two vertices of a connected graph is defined as the net effective resistance between them in the electrical network constructed from the graph by replacing each edge with a unit resistor. In this article, using electric network approach and combinatorial approach, we derive exact expression for resistance distances between any two vertices of polyacene graphs.

Consideration of Nonsinusoidal/Unbalanced Operating Conditions of a Municipal Electric Network for Calculating the Current Level through the Neutral Conductor

2021 ◽  
Vol 1 (1) ◽  
pp. 35-43
Author(s):  
Mukhammadzhon М. KAMOLOV ◽  
◽  
Sagid A. АBDULKERIMOV ◽  
Khurshed B. NAZIROV ◽  
Shokhin D. DZHURAEV ◽  
...  
Keyword(s):  
Harmonic Component ◽  
Operating Conditions ◽  
Electric Networks ◽  
Electric Network ◽  
Three Phase ◽  
Zero Sequence ◽  
Flow Through ◽  
Higher Harmonic ◽  
Harmonic Components ◽  
Electric Loads

During the operation of 0.4 kV electric networks, asymmetry of currents and voltages is unavoidable. As is known, unbalanced operation of 0.4 kV networks is stemming from nonuniform distribution of loads between the phases. This results in that a fundamental frequency zero-sequence current will flow through the neutral conductor in a four-wire three-phase electric network. On the other hand, during balanced operation of a four-wire electric network containing loads with a nonlinear volt-ampere characteristic, higher harmonic currents multiple to three are summed in the neutral conductor. Therefore, it is of relevance to analyze unbalanced operating conditions of a four-wire electric network containing loads with a nonlinear volt-ampere characteristic. The article presents the characteristics of a municipal load for analyzing unbalanced/nonsinusoidal conditions of its operation. For carrying out full-valued assessment of unbalanced operating conditions of a four-wire electric network, a simulation model of a 0.4 kV network section containing a nonsinusoidal load is developed. It is shown that during unbalanced operation of an electric network containing electric loads with a nonlinear volt-ampere characteristic it is recommended to take into account zero-sequence current higher harmonic components that are not multiple to three. An algorithm for calculating the neutral conductor current harmonic component for determining the cable temperature rating is developed.

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