Analyses of the Power Flow Status of the Elelenwo 132/33kv Transmission Station in Port Harcourt

Abstract

This study conducted a comprehensive analysis of the power flow status at the Elelenwo 132/33kV transmission station in Port Harcourt, Nigeria, focusing on its structural configuration and the fundamental principles governing power transmission. The research was driven by two primary objectives: first, to perform a detailed analysis of the station's one-line diagram and operational power flow characteristics; and second, to develop and solve analytical mathematical models that describe the electric power flow along its transmission lines, structured on standards of IEEE (1997; 2001) and Courant and Hilbert (1989) ISBN-0471-50- 447-5. The system analysis, based on the single-line schematic and feeder data, revealed that the station is operating under significant constraint, with only one of two designed 132kV infeeds and one of two transformers functional, thereby compromising system redundancy and reliability. Concurrently, a distributed parameter model was derived from first principles, applying Kirchhoff's laws to an equivalent circuit to formulate the telegrapher's equations for a lossy line. The model culminated in an analytical solution demonstrating an exponential attenuation of voltage along the line length, explicitly linking physical line parameters to electrical performance. This dual approach provides critical insights: the practical analysis identifies immediate infrastructural vulnerabilities affecting service delivery, while the theoretical model establishes a foundational framework for predicting voltage profiles and understanding loss mechanisms. The findings underscore the necessity of both physical asset management and advanced analytical modeling as prerequisites for effective system planning, loss minimization, and enhancing the overall stability of the Nigerian power grid.

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