The Topological Method for Producing the Inverse Form Nodal Equations Electric Power System

Akhmetbayev, Dauren; Akhmetbayev, Arman; Berdygozhin, Ansar

doi:10.24160/0013-5380-2018-5-18-27

Cited by 6 publications

(2 citation statements)

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“…Nodal voltages are determined by the expression obtained by analytical transformation of the known equations of the electrical state of networks [19,20]:…”

Section: Topological Algorithm For the Formation Of A Steady Statementioning

confidence: 99%

Improvement of Algorithms of the Topological Model of the Steady Mode of Electric Power Systems

Akhmetbaev

Dzhandigulov

Akhmetbaev³

et al. 2023

E3S Web of Conf.

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The work improves the algorithms for the formation of a steady state mode of electric power systems, developed on the basis of a topological model. The topological model is developed on the basis of the theory of directed graphs using a matrix of current distribution coefficients. Algorithms for the formation of a steady state provide for conducting calculations with respect to all independent nodes of a complex network of a power system, which leads to an increase in the number of operations of iterative processes. The paper proposes a transformation of the topological model of the system, in which, in the process of solving the transformed model, iteration is performed only over nodes that have non-zero load or generation powers. The rest of the nodal stresses are simply calculated through the stresses of the above nodes. The resulting transformation makes it possible to reduce not only the number of operations in each iteration, but also the number of iterations itself. In particular, when studying a 5-node test circuit [1], instead of four complex equations of the original system, it is sufficient to iterate only one equation (reduction by 25%), and for the New England test 39-node circuit [2], instead of 38 equations It is enough to iterate over 26 equations (32% reduction).

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“…Nodal voltages are determined by the expression obtained by analytical transformation of the known equations of the electrical state of networks [19,20]:…”

Section: Topological Algorithm For the Formation Of A Steady Statementioning

confidence: 99%

Improvement of Algorithms of the Topological Model of the Steady Mode of Electric Power Systems

Akhmetbaev

Dzhandigulov

Akhmetbaev³

et al. 2023

E3S Web of Conf.

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“…The algorithms for implementing the calculation of node voltages depends on the form of representation of the nodal parameters, which are represented by constant active and reactive powers or active powers and voltages [21][22][23]. If the nodal parameters are given by powers, then the following expressions are valid for determining the node stresses: Hence, the value of the phase of the nodal stress for the kth iteration has the form: As can be seen, from the above expressions, for calculating the voltage of the nodes it is enough to know the current distribution coefficients in the electric network.…”

Section: Calculation Of Voltage Nodesmentioning

confidence: 99%

Topological algorithm for forming nodal stresses of complex networks energy systems

2019

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The paper presents a new topological algorithm for the formation of nodal stresses of complex networks of power systems. The first step of the described algorithm is the search and determination of the values of all possible and specific trees of the graph corresponding to a given network of the power system. The well-known advantage of the topological approach compared to matrix methods, which allows one to obtain the final solution of non-linear equations of the steady state, has led to the development of many methods and corresponding software implementations. The paper provides a comparative analysis of the advantages and disadvantages of these methods. The main computational complexity of these methods is the search for 2 trees for each tree, which are obtained from it by dividing into two parts by removing any branch. A completely new topological approach that does not require finding 2 trees was proposed by one of the authors. The process of this method consists of the following steps: finding all possible graph trees, selecting specific graph trees, calculating the network node voltage. The work offers a unique algorithm for the implementation of these stages, which are implemented and tested at the software level. The result of the execution of the software package is the calculation of the steady state of a complex electric network using the distribution coefficients of the driving currents.

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Improving Algorithms for Searching for Trees of Directed Graphs of Electrical Power Systems

Akhmetbaev,

Jandigulov,

Akhmetbaev

2024

Power Technol Eng

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The Topological Method for Producing the Inverse Form Nodal Equations Electric Power System

Cited by 6 publications

References 0 publications

Improvement of Algorithms of the Topological Model of the Steady Mode of Electric Power Systems

Improvement of Algorithms of the Topological Model of the Steady Mode of Electric Power Systems

Topological algorithm for forming nodal stresses of complex networks energy systems

Improving Algorithms for Searching for Trees of Directed Graphs of Electrical Power Systems

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