Extending the Principles of Diakoptics to Power Flow Analysis
DOI:
https://doi.org/10.25729/esr.2026.02.0009Keywords:
Power systems, diakoptics, directed graph, graph trees, current distribution coefficientsAbstract
This study investigates the extension of diakoptics principles to the power flow analysis for complex networks within power systems. Diakoptics is a method designed to address large-scale systems by tearing them into subsystems, whose properties are then used to recover the features of the original system. The tearing process generates an additional system (interconnection network) that stores all the parameters resulting from the tearing. These interconnection networks serve to link original system and subsystem parameters by coupling equations. To this end, each subsystem is analyzed separately, and then isolated solutions are integrated step-by-step until a solution to the original system is obtained. An incorrect formulation of coupling equations may lead to erroneous results.
This paper proposes a novel approach for formulating closed-form expressions for interconnection networks, derived from the equality of node voltages at the tearing interfaces. The approach is implemented based on the topological method developed by D.S. Akhmetbayev. A case study of a complex 110 kV meshed network is provided to demonstrate the methodology of determining the matrices of sought parameters for the interconnection network. The results indicate that this approach streamlines the application of diakoptics in the power flow analysis for complex power systems.
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