Abstract
Improving the power stability of an interconnected Nigerian 330KV 48 bus power system was developed using Genetic Eigenvalue Technique to mitigate the challenges of proper placement of power system stabilizer due to its highly dynamic and nonlinear nature. In order to eliminate load losses, equipment malfunctioning, and other quality issues, unnecessary tripping and cascaded failures in system network, power system stabilizers are installed to improve system stability. The operational and process data of 330KV power system grid network, cable distance meter (CDM-75), Transmission line calculator (AWR version) were sampled at Transmission Company of Nigeria Osogbo, Osun State of Nigeria. The Genetic Eigenvalue technique was used to generate eigenvalues, damping ratios and participation factors for proper placement of PSS (Power System Stabilizers) to mitigate the effect of transmission line and power plant outage contingencies. The PSSs were placed using Genetic Eigenvalue Analysis technique performed better than PSS placed based on conventional Arnoldi eigenvalue technique. The simulation results for base case voltage profile and for the trajectories of the impact of contingencies were plotted on the MATLAB/SUMULINK environment. From the output plots, the percentage of voltage instability suppression time improvement of Genetic technique over Arnoldi is 51.86%. Oscillation suppression at generator 1, is 74%, and that of generator 3 is 79%, and finally at generator 5 is 76.98%. PSS placed on Nigerian 330KV 48 bus plant and transmission line of an interconnected power system case study power system based on genetic analysis suppressed voltage oscillation faster compared to the time it took the PSS based on the conventional Arnoldi eigenvalue analysis technique. Keywords: Power Stability- Genetic Eigenvalue, ArnoldiEigenvalue, PSS. DOI: 10.7176/JETP/11-1-03 Publication date: January 31 st 2021
Highlights
System stability depends on the existence of both components of torque for each of the synchronous machines
Small-disturbance rotor angle stability is concerned with the ability of the power system to maintain synchronism under small disturbances
Global problems are caused by interactions among large groups of generators and have widespread effects
Summary
System stability depends on the existence of both components of torque for each of the synchronous machines. The optimization problem was solved for the shift in the eigenvalues by using a derived equation for eigenvalue sensitivities This formulation was used by [4] to determine PSS installation sites. The objective was to minimize the PSS control gains with constraints to move the unstable eigenvalues to the stable region while not changing the stable eigenvalues This approach assumed that PSSs were installed at every machine. Those with relatively higher gains solved for by the optimization problem were chosen for PSS installation This method looked at the closed loop system, but minimization of the number of PSSs was not included in the constraints or the cost function. The MATLAB Simulink environment is used for the modeling and development of the case study interconnected power system damping controller and for programming the genetic-eigenvalue stability analyzer. The using Newton-Raphson method from (3), the equation for node K (bus K) is written as: n
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