this article is to study the static stability of Tunisian electrical network face to many current technical constraints to maintain the security of the entire system power. In this context, we present a study based on the modal analysis of the linearized system. This study allows us to determine the optimum location of power regulators PSS iniected at the input of voltage regulator A VR based on a matrix called "participation". The regulators method residues perform the calculation of these parameters.K�ord5-the static stability of Tunisian electrical network, PSS, A VR, method residues.

The interconnections between the national power systems was developed parallel to networks of each country. Originally, the interconnections used to get outside help in case of failure could affect the security of a country national electricity supply. In electrical power networks small oscillations appear from time to time. These oscillations concern the quantities determining the equilibrium point of the system, and following which, system stability and system behaviors are influenced. To improve system behaviors and dynamic stability it is necessary to minimize these transient states. The objective of our study is, first, to check the static stability of the high voltage power to small perturbations of electrical network. In this context, we present a study based on the modal analysis of the linearized system. The results of this analysis allow us to obtain the optimal placement of power regulators PSS injected at the input of voltage regulator AVR based on the matrix of participation. The calculation of these parameters is performed by the regulators method residues.In this paper, the study is structured around one main objective: to have a real interconnection Tunisia-Libya with a stable, efficient and solider operation.Keywords small oscillations, the static stability of Libyan electrical network, the stability of the Tunisian network interconnected with the one of Libya, PSS, AVR,the method of participation factors, method residues.

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