Abstract
This research paper deals with the identification of the best location of the Power System Stabilizers (PSS) and also the tuning of PSS parameters in order to improve the overall dynamic stability of multi machine power systems. The location of PSS is determined by identifying the critical modes and their corresponding first and second order eigenvalue sensitivities. In this formulation, sensitivity analysis of a particular mode can be performed with only its eigenvalues and their left and right eigenvectors. The simplicity and efficiency of this approach sharply contrast to the complexity of the traditional approach, where all eigenvalues and eigenvectors are required at the same time. The effectiveness of this method in selecting the optimum location for placement of PSSs is compared with the participation factor method. The proposed sensitivity theory used to identify the best PSS location in a five machine, eight bus El-Metwally and Malik System to increase the damping of both local and inter area modes for various operating conditions.
Highlights
Power systems are highly complex systems that contain non-linear and time varying elements
According to second order eigenvalue sensitivity, the results reveal that there are two oscillatory rotor swing modes for each of the three operating conditions which are shown in Tables 6-8 for the operating conditions 1), 2) and 3) respectively
The application of the First Order Eigenvalue Sensitivity (FOES) and Second Order Eigenvalue Sensitivity (SOES) is demonstrated by applying it to the five-machine, eight bus system
Summary
Power systems are highly complex systems that contain non-linear and time varying elements. For the inter area mode large number of machines may be involved in the oscillation This makes the PSS location selecting problem very complicated [2]. The most commonly used approach for stability siting was the Eigen vector method proposed by DeMello et al [3]. This method too may fail in certain circumstances and may lead to undesirable stabilizer location as found out in various studies. Zhang and Coonick [5] proposed a new method based on the method of inequalities for the coordinated synthesis of PSSs parameters in multi-machine power system in order to enhance overall system small signal stability. Doi and Abe [8] developed a new coordinated synthesis method by combining eigenvalue sensitivity analysis and linear programming applied to this method is used to synthesize the coordination of power system stabilizers in a new multi machine system
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