Mathematical model and topological method for reliability calculation of distribution networks

2013 ◽  
Author(s):  
Nikolai Voropai ◽  
Zbigniew Styczysnki ◽  
Ilya Shushpanov ◽  
Konstantin Suslov
Keyword(s):  
Mathematical Model ◽  
Distribution Networks ◽  
Topological Method ◽  
Reliability Calculation

Network analysis models – the secret for success

2004 ◽  
Vol 4 (5-6) ◽  
pp. 383-388
Author(s):  
D.M. Rogers
Keyword(s):  
Mathematical Model ◽  
Field Data ◽  
Essential Element ◽  
Distribution Networks ◽  
Automatic Calibration ◽  
Supply And Distribution ◽  
The World ◽  
Optimum Approach ◽  
Analysis Models

Water is a fundamental necessity of life. Yet water supply and distribution networks the world over are old and lacking in adequate maintenance. Consequently they often leak as much water as they deliver and provide an unacceptable quality of service to the customer. In certain parts of the world, water is available only for a few hours of the day. The solution is to build a mathematical model to simulate the operation of the real network in all of its key elements and apply it to optimise its operation. To be of value, the results of the model must be compared with field data. This process is known as calibration and is an essential element in the construction of an accurate model. This paper outlines the optimum approach to building and calibrating a mathematical model and how it can be applied to automatic calibration systems.

scholarly journals Mathematical model as a standard procedure to analyze small and large water distribution networks

2015 ◽  
Vol 106 ◽  
pp. 541-554 ◽  
Author(s):  
M.A. Prieto ◽  
M.A. Murado ◽  
J. Bartlett ◽  
W.L. Magette ◽  
Thomas P. Curran
Keyword(s):  
Mathematical Model ◽  
Water Distribution ◽  
Standard Procedure ◽  
Distribution Networks ◽  
Water Distribution Networks ◽  
Large Water

scholarly journals Optimal vehicle route schedules in picking up and delivering cargo containers considering time windows in logistics distribution networks: A case study

2020 ◽  
Vol 26 (4) ◽  
pp. 174-184
Author(s):  
Thi Diem Chau Le ◽  
Duy Duc Nguyen ◽  
Judit Oláh ◽  
Miklós Pakurár
Keyword(s):  
Mathematical Model ◽  
Simulated Annealing ◽  
Vehicle Routing ◽  
Vehicle Routing Problem ◽  
Time Windows ◽  
Distribution Networks ◽  
Mixed Integer ◽  
Vehicle Group ◽  
Real Problem ◽  
Routing Problem

AbstractThis study describes a pickup and delivery vehicle routing problem, considering time windows in reality. The problem of tractor truck routes is formulated by a mixed integer programming model. Besides this, three algorithms - a guided local search, a tabu search, and simulated annealing - are proposed as solutions. The aims of our study are to optimize the number of internal tractor trucks used, and create optimal routes in order to minimize total logistics costs, including the fixed and variable costs of an internal vehicle group and the renting cost of external vehicles. Besides, our study also evaluates both the quality of solutions and the time to find optimal solutions to select the best suitable algorithm for the real problem mentioned above. A novel mathematical model is formulated by OR tools for Python. Compared to the current solution, our results reduced total costs by 18%, increased the proportion of orders completed by internal vehicles (84%), and the proportion of orders delivered on time (100%). Our study provides a mathematical model with time constraints and large job volumes for a complex distribution network in reality. The proposed mathematical model provides effective solutions for making decisions at logistics companies. Furthermore, our study emphasizes that simulated annealing is a more suitable algorithm than the two others for this vehicle routing problem.

scholarly journals Optimization of daily operation mode of photovoltic systems of enterprises

2021 ◽  
Vol 264 ◽  
pp. 04063
Author(s):  
Tulkin Gayibov ◽  
Elnur Abdullaev
Keyword(s):  
Mathematical Model ◽  
Renewable Energy Sources ◽  
Operation Mode ◽  
Distribution Networks ◽  
Photovoltaic System ◽  
Optimal Parameters ◽  
Manufacturing Enterprises ◽  
Operating Modes ◽  
Mode Of Operation ◽  
The Mathematical Model

At present, one of the most important issues at the level of various manufacturing enterprises is the development of ways for building and efficiently using renewable energy sources, especially solar energy. In this regard, this article proposes a mathematical model of the problem of determining the optimal daily mode of operation of a photovoltaic system in an enterprise with a private photovoltaic system connected to the electrical system. The effectiveness of the mathematical model was analyzed on the example of determining the optimal mode of operation of the photovoltaic system located on the territory of Jizzakh Polytechnic Institute. It is shown that the mathematical model can be used to determine the optimal operating modes of existing photovoltaic systems in enterprises and distribution networks, as well as to determine the optimal parameters in their design.

scholarly journals Software Solutions for Harmonic Conditions Monitoring and Optimal Placing of Reactive Power Sources in Distributions Networks

2013 ◽  
Vol 8-9 ◽  
pp. 77-84
Author(s):  
Alexandru Baloi ◽  
Adrian Pana
Keyword(s):  
Mathematical Model ◽  
Power Factor ◽  
Reactive Power ◽  
Power Factor Correction ◽  
Distribution Networks ◽  
Virtual Instruments ◽  
Equivalent Network ◽  
Power Sources ◽  
Risk Increase ◽  
Electrical Distribution Networks

Power factor correction in electrical distribution networks can lead to harmonic risk increase. The paper presents a method to anticipate the amplification of network harmonic conditions based on the equivalent network harmonic impedance which can be monitored using virtual instruments. Based on the values of the harmonic impedance and the required reactive power, a mathematical model is implemented through an algorithm and software classes are developed for the solution regarding the type of the reactive power sources (capacitor banks or filters) and the place where it will be installed.

Total-Probability Method in Reliability Design of Gear Strength

2010 ◽  
Vol 37-38 ◽  
pp. 1604-1614
Author(s):  
Yan Li ◽  
Wei Xiao ◽  
Hai Yang Huang ◽  
Ying Cai Yuan
Keyword(s):  
Mathematical Model ◽  
Weibull Distribution ◽  
Lognormal Distribution ◽  
Extreme Value Distribution ◽  
Probability Method ◽  
Total Probability ◽  
Interference Theory ◽  
Reliability Design ◽  
Reliability Calculation ◽  
The Mathematical Model

Total probability method is based on stress-strength interference theory. There are four acceptable distribution types for gear (strength, stress), which are normal distribution, lognormal distribution, Weibull distribution and the smallest extreme value distribution. Based on the four distribution types, 16 different stress-strength distributions were obtained through permutation respectively. The results show that they summarize the mathematical model of reliability calculation for the gear actual failure mode and get the exact solutions of gear reliability.

scholarly journals Optimal location of battery swap stations for electric vehicles

2019 ◽  
Vol 24 (3) ◽  
pp. 377-384
Author(s):  
Ramón Alfonso Gallego Rendón ◽  
Ricardo Alberto Hincapié Isaza ◽  
Fabio Andrés Osorio Cruz
Keyword(s):  
Mathematical Model ◽  
Evolutionary Algorithm ◽  
Electric Vehicles ◽  
Distribution System ◽  
Distribution Networks ◽  
Optimal Location ◽  
Optimal Sizing ◽  
Operational Characteristics ◽  
The Mathematical Model

In this paper, a methodology that allows to determine the location and optimal sizing of battery swap stations for electric vehicles in distribution networks is proposed, which objective is to minimize investment costs and technical losses of the network. The set of constraints is associated with technical and operational characteristics of the system. To solve the mathematical model, an evolutionary algorithm is used. To verify the efficiency of the methodology, a Colombian distribution system is used, where the obtained results validate what is proposed in this work.

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