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Proceedings ArticleDOI

A novel comparison of gauss-seidel and newton- raphson methods for load flow analysis

16 Mar 2017-pp 1-7
TL;DR: In this article, an operational comparison between Gauss-Seidel and Newton Raphson method is depicted using MATLAB simulation software for a 4-bus system, and it is prominent that Gauss Seidel follows the linear convergence whereas Newton-Raphson exhibits the quadratic convergence.
Abstract: All over the world, several methods of power flow analysis are used, namely Gauss-Seidel, Newton Raphson, Fast Decoupled Load Flow methods because power flow analysis is a critical factor for proper planning of power generating scheduling economically and calculation of power loss, bus voltage, angle. In this work, an operational comparison between Gauss-Seidel and Newton Raphson method is depicted using MATLAB simulation software for a 4-Bus system. By following the obtained values, it is prominent that Gauss Seidel follows the linear convergence whereas Newton Raphson exhibits the quadratic convergence. The selection of slack bus affects the Gauss-Seidel convergence adversely but for Newton-Raphson has minimal sensitivity towards this selection. While going through the simulation, it is lucid that Gauss-Seidel is comprehensible and reliable for small systems which are antithesis for Newton Raphson Method because repetitive computation of Jacobian makes it complicated.
Citations
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Journal ArticleDOI
TL;DR: An integrated model to optimize the integrated timetable, which includes both the timetable and the train trajectory achieve the minimum electrical energy consumption of AC railway system, is developed and the optimal integrated timetable is obtained by the proposed hybrid GA-PSO algorithm.
Abstract: The optimization of train trajectory and timetable offers two effective methods of energy-efficient operations. Most traditional research optimizes them separately and thus the global optimality cannot be achieved. Previous work has mainly concentrated on minimizing the mechanical energy consumption of trains, not the electrical energy. This paper aims to develop an integrated model to optimize the integrated timetable, which includes both the timetable and the train trajectory achieve the minimum electrical energy consumption. The AC power supply system model is first proposed to calculate the parameters of the AC power supply network. Then, a model is developed to calculate various energy consumptions using power flow calculation. Furthermore, an integrated timetable optimization model for minimum total energy consumption of AC railway system is proposed and the optimal integrated timetable is obtained by the proposed hybrid GA-PSO algorithm. Finally, 5 real-world case studies based on the Lanzhou–Xinjiang high-speed railway are presented. The results show that the proposed integrated model can achieve a reduction in total energy consumption for the entire line up to 14.3% compared with the previous optimization model. The hybrid GA-PSO algorithm achieves the best results compared with the results achieved by the GA and PSO algorithms applied along.

36 citations

Journal ArticleDOI
TL;DR: In this paper, a current injection power flow analysis and optimal generation dispatch method for bipolar DC microgrids is presented, where the problem of quadratic programming can be solved sequentially to find the final optimal solution.
Abstract: This article presents a current injection power flow analysis and optimal generation dispatch method for bipolar DC microgrids. In bipolar DC systems, despite a certain local voltage being balanced by the converter control, voltage unbalance can occur at buses that are electrically far from the balanced voltage. In addition, from the aspect of system operation, the optimization of operation cost and voltage unbalance has not been fully investigated yet. Herein, for steady-state analysis, the current injection Newton-Raphson power flow for a bipolar DC microgrid is developed using static models of the network, voltage balancer, sources, and loads. Afterwards, the optimization problem is formulated based on voltage sensitivity, which can be obtained from the Jacobian matrix, to reduce the operation cost while resolving the voltage unbalance. The problem of quadratic programming can be solved sequentially to find the final optimal solution. The case study validates that the power flow method is sufficiently accurate compared to the simulation in PSCAD/EMTDC and that optimal generation can be achieved while reducing the operation cost and mitigating voltage unbalance.

24 citations

Journal ArticleDOI
TL;DR: An intelligent system for contingency selection in the static security analysis of electric power systems is proposed and evaluated as a combinatorial optimization problem, employing an ACO metaheuristic to model the situation.
Abstract: The reliable supply of electricity plays a key role in the contemporary way of life. In order to provide more benefits to the population, electric networks are getting bigger to produce more energy. This growth, while necessary, brings problems in operation and maintenance, since the networks are more complex. This complexity requires that network security analysis should be performed in real time to avoid decision errors when disconnecting a device from the network or predicting the possibility of operating output from an undersized device. In this article, an intelligent system for contingency selection in the static security analysis of electric power systems is proposed. The severity of contingencies indication is the first step to develop control actions and maintain the system operation integrity. We propose and evaluate the contingency selection as a combinatorial optimization problem, employing an ACO metaheuristic to model the situation. The system is evaluated over the IEEE 30-bus network and a real 810-bus network, considering double outages of branches. Results show an accuracy close to five-nines for severing contingencies.

10 citations


Cites methods from "A novel comparison of gauss-seidel ..."

  • ...The active power flow violation is obtained by the fast decoupled load flow (FDLF) calculation [38], [39]....

    [...]

  • ...The FDLF was chosen because it is a more efficient calculation method for this purpose [38], [39]....

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Proceedings ArticleDOI
25 Jun 2018
TL;DR: Fog Computing is used as mean to reduce the logical distance between the central distribution and consumption spot and show that it is possible to make a smart grid based on Fog Computing and thus making smart electric networks that react to the environment.
Abstract: In the last 20 years, the amount of energy consumed has grown more than 50% and due to a shortage of energy resources in the future, will not be possible to meet all this demand. The current distribution model transports energy from stations to consumers, but does not consider the use of alternative sources. The smart grids have emerged to allow the inclusion of alternative forms of energy generation in the grid. Yet, to avoid an overload in the system is necessary to calculate the power flow in real time. In this paper, we use Fog Computing as mean to reduce the logical distance between the central distribution and consumption spot. IoT devices in the network edge have more effectiveness and less cost to handle the power flow information. We evaluate the performance of the Newton-Raphson and Gauss-Seidel algorithms with the objective of developing calculations in real time of the load flow problem with the help of fog. Our results have shown that is possible to make a smart grid based on Fog Computing and thus making smart electric networks that react to the environment.

8 citations


Cites background from "A novel comparison of gauss-seidel ..."

  • ...and Mandal (2017) [2], Dharamjit (2012) [3] and Vijayvargia (2016) [15] developed a MATLAB program to calculate the voltage, angle, active and reactive power of each bus of IEEE9, 14, 30 and 57 systems....

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Journal ArticleDOI
TL;DR: In this article, a predictive analysis of a power system is proposed to address the need for faster and accurate analyses that would aid in the operation and control of modern power system using machine learning algorithms.
Abstract: This paper proposes a predictive techno-economic analysis in terms of voltage stability and cost using regression-based machine learning (ML) models and effectiveness of the analysis is validated. Predictive analysis of a power system is proposed to address the need for faster and accurate analyses that would aid in the operation and control of modern power system. Several methods of analyses including metaheuristic optimization algorithms, artificial intelligence techniques and machine learning algorithms are being developed and used. Predictive ML models for two modified IEEE 14-bus and IEEE-30 bus systems, integrated with renewable energy sources (solar and wind) and reactive power compensative device (STATCOM) are proposed and developed with features that include hour of the day, solar irradiation, wind velocity, dynamic grid price and system load. An hour-wise input database for the model development is generated from monthly average data and hour-wise daily curves with normally distributed standard deviations. The data feasibility tests and output database generation is performed using MATLAB. Linear and higher order polynomial regression models are developed for the 8760hr database using Python 3.0 in JupyterLab and a best-fit predictive ML model is identified by analysing the coefficients of determination. The voltage stability and cost predictive ML models were tested for a 24hr input profile. The results obtained and the comparison with the expected values are furnished. Prediction of the outputs for the test data validate the accuracy of the developed model.

6 citations

References
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Journal ArticleDOI
B. Stott1
01 Jul 1974
TL;DR: A survey is presented on the currently available numerical techniques for power-system load-flow calculation using the digital computer, and the suitabilities of various methods for modern applications such as security monitoring and optimal load flow are examined.
Abstract: A survey is presented on the currently available numerical techniques for power-system load-flow calculation using the digital computer. The review deals with methods that have received widespread practical application, recent attractive developments, and other methods that have interesting or useful characteristics. The analytical bases, computational requirements, and comparative numerical performances of the methods are discussed. Attention is given to the problems and techniques of adjustments in load-flow solutions, and the suitabilities of various methods for modern applications such as security monitoring and optimal load flow are examined.

696 citations


"A novel comparison of gauss-seidel ..." refers methods in this paper

  • ...Newton Raphson method provides wide variety of system optimization calculations, sensitivity analysis, and outage-assessment calculations but for pursuing the formal incorporation of single-criterion controls, Newton-Raphson method does not appear to be strong [3]....

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Book
28 Aug 2006
TL;DR: In this paper, modern power system analysis was used to analyze modern power systems and their relationship with modern power control systems, including the power control system analysis and power control control systems.
Abstract: Modern power system analysis , Modern power system analysis , مرکز فناوری اطلاعات و اطلاع رسانی کشاورزی

605 citations

Journal ArticleDOI
01 Jun 1982
TL;DR: Modern power system analysis, Modern power systemAnalysis, مرکز فناوری اطلاعات, کسورزی, امیران رسانی , اوشاوρز عاعد, £1,000, £2,500, £3,000 per megawatt-hour.

529 citations


"A novel comparison of gauss-seidel ..." refers background in this paper

  • ...Now the complex power injected at bus i is given as [2],...

    [...]

  • ...The real (PL) and reactive (QL) power system losses can be obtained as follows [2],...

    [...]

  • ...From equation (4), it can be written as [2],...

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  • ...Now to interpret the power flow equations of a system with N buses and R generators, there will be 2 (N – 1) – (R – 1) unknowns [2]....

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Proceedings ArticleDOI
24 May 1998
TL;DR: Three methods of load flow algorithms are evaluated: Gauss-Seidel, optimal load flow, and the DistFlow method.
Abstract: The state of a power system and the methods of calculating this state are extremely important in evaluating the operation of the power system, the control of this system, and the determination of future expansion for the power system. The state of the power system is determined through load flow analysis that calculates the power flowing in the lines of the system. There are several different methods to determine the load flow of a given system. For the purposes of this paper, only three methods of load flow algorithms are evaluated: Gauss-Seidel, optimal load flow, and the DistFlow method.

41 citations

Proceedings ArticleDOI
01 Sep 2006
TL;DR: This paper presents a load flow method for distribution network design, which can handle both current and demand committed loads.
Abstract: The conventional load flow methods for transmission systems could not be utilised for distribution systems, due to their especial characteristics. If methods like Newton-Raphson and fast-decoupled are used for distribution systems, the probability of the convergence would be low. Therefore, due to inherent characteristics of distribution systems, it is essential to develop the distribution version of the load flow methods. One of the applications of distribution load flow methods is in the design process, at either MV or LV level. There are two types of loads in the design process, current committed and demand committed loads that both must be considered by load flow for design purpose. This paper presents a load flow method for distribution network design, which can handle both current and demand committed loads.

16 citations