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.

In this paper, a new Takagi–Sugeno Fuzzy Logic controller (TS-FLC) is presented and applied for modeling and controlling the nonlinear power systems even in the presence of disturbances. Firstly, a nonlinear mathematical model for the electrical power system is presented with consideration of PSS and AVR controller. Then, a Takagi–Sugeno Fuzzy Logic controller is employed to control power system stability. Nevertheless, the study of the stability of Takagi–Sugeno fuzzy models will be difficult in the case where the number of nonlinearities is important. To cope with this problem, this study proposed a methodology to reduce the number of rules and to guarantee the global stability of the power system. The new model included only two rules. All the other nonlinearities were considered as uncertainties. In addition, a Parallel Distributed Compensation controller is designed using the Linear Matrix Inequalities constraints in order to guarantee system stability. Finally, this approach is applied on a Single Machine Infinite Bus affected by fault perturbation. To show the novelty of Takagi Sugeno’s method, we compared our approach to the Taylor linearization method. The numerical simulations prove the feasibility and performance of the proposed method.

No abstract

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.

This paper proposes the static stability of Tunisian electrical network while facing small perturbation to maintain the security of the entire power system. In this context, after linearizing the power system, the concept of determining the placement of Power System Stabilizer is based on participation factor to find where it is going to be the most effective on a particular mode. Then, the Power System Stabilizer tuning is calculated by using the method of residue. Our objective is to improve the dynamic behavior of the electricity grid while facing various small disturbances.