New Modeling of Steady-State Modes of Complex Electrical Grids of Power Systems

Akhmetbayev, Arman; Akhmetbayev, Dauren; Zhumazhanov, Serik; Zhakishev, Bauyrzhan

doi:10.1051/matecconf/201815501043

Cited by 5 publications

(4 citation statements)

References 1 publication

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“…A completely new topological approach was proposed in the work of the first author [14][15][16]. Moreover, to calculate matrix A in formula (3), explicit expressions are obtained that are computed without the need to find 2-trees.…”

Section: Calculation Of Distribution Coefficients Of Driving Currentsmentioning

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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Section: Calculation Of Distribution Coefficients Of Driving Currentsmentioning

confidence: 99%

Topological algorithm for forming nodal stresses of complex networks energy systems

2019

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“…J -column matrix of the complex of driving currents; tmatrix transposition sign. The matrix of current distribution coefficients is determined based on all trees of the directed graph of a complex electrical network, and is used as initial data for calculating its steady-state modes [14][15][16].…”

Section: Inverse Form Of the Nodal Voltage Equationsmentioning

confidence: 99%

“…The values of the fictitious currents (14) ensuring the identity conditions (15) are determined on the basis of the matrix equation 7, which in the open form is written in the following form: matrix of node resistance of the scheme with respect to the cut nodes with indices ('); If we use the matrix equation (10), then to determine the fictitious currents J , we write the formula, which in expanded form looks as: 8.224-177.975i…”

Section: Calculation Of a Complex Network By Bringing It To Equivalenmentioning

confidence: 99%

Calculations of the complex network’s steady-state modes by brining it to equivalent open

Akhmetbayev

Zhantlessova

Akhmetbayev³

2018

E3S Web Conf.

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The paper considers the development of the idea of diakoptics as applied to the calculation of the steady-state modes of energy system’s complex electrical networks. The well-known goal of diakoptics is to obtain the equations of state for the dedicated part of the system, the study of which is much simpler than the study of the initial system and can be achieved by improving its steady state equations. Technique for dividing a complex-closed system into a set of uncomplicated subsystems was developed based on the inverse form of nodal equations. Analytic expressions for the intersection circuits obtained based on identical equality of voltage at the nodes of the system division into subsystems are proposed. Using the example of 110kV network calculation, the technique for determining the matrixes of generalized parameters of the dedicated subsystems, the sizes of which depend on the number of their broken link is shown. Analytical determination of the equality condition of the voltage of subsystems intersections nodes, allowed analyzing a complex closed network by bringing it to an equivalent open.

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“…Topological methods for forming a matrix of distribution coefficients were developed in [5], with known difficulties in finding and determining specific 2-trees of a graph of a complex electrical network. These difficulties were overcome in [6], where an analytical approach to determining the topological content of the driving current distribution coefficients was proposed. This led to a significant simplification of the technology of searching for specific trees without defining the 2-trees of a complex network graph.…”

Section: Introductionmentioning

confidence: 99%

Simplified topological algorithm for forming a steady mode of electric power system

Jandigulov,

Rauan,

Bystrova

2023

E3S Web Conf.

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The paper presents the possibility of simplifying the algorithms for forming the parameters of the steady state mode of a complex electrical network, using the independence of the currents of its equivalent circuit. In this case, all independent currents of a complex circuit of an electrical network must be found in advance, which is, in the general case, a rather difficult task, since it requires additional calculations of the steady state. The matrix of current distribution coefficients, formalized on the basis of the topology of the electrical network, can be used to directly determine the currents in the branches of its equivalent circuit. This allows you to preliminarily estimate the values of pre-selected independent currents in the circuit branches of a complex electrical network and determine its simplified design scheme. In this case, a calculation model is established, consisting of some trees of a complex electrical network graph.

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New Modeling of Steady-State Modes of Complex Electrical Grids of Power Systems

Cited by 5 publications

References 1 publication

Topological algorithm for forming nodal stresses of complex networks energy systems

Topological algorithm for forming nodal stresses of complex networks energy systems

Calculations of the complex network’s steady-state modes by brining it to equivalent open

Simplified topological algorithm for forming a steady mode of electric power system

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