A NONLINEAR MODEL FOR A TURBO COMPRESSOR USING FUZZY LOGIC APPROACH F.LAAOUAD * , A HAFAIFA, * , K. LAROUSSI * (*) Department of Electronic and control Faculty of electronic and control DJELFA University, Algeria (**) Department of Industrial Process Automation Faculty of Hydrocarbons and Chemistry BOUMERDES University, AlgeriaE-mail: Abstract During the last decade, significant change of direction in the development of control theory and its application has attracted great attention from the academic and industrial communities. The concept of “Intelligent Control “has been suggested as an alternative approach to conventional control techniques for complex control systems. The objective is to introduce new mechanisms permitting a more flexible control, but especially more robust one, able to deal with model uncertainties and parameter variations. In this work, we examine and illustrate the use of fuzzy logic in modelling and control design of a turbo compressor system. Turbo compressor systems are crucial part of most chemical and petrochemical plants. It’s a system being very complex by its physical structure as well as its behaviour (surge problem ). The turbo compressor is considered as a complex system where many modelling and controlling efforts have been made. In the regard to the complexity and the strong non linearity of the turbo compressor dynamics, and the attempt to find a simple model structure which can capture in some appropriate sense the key of the dynamical properties of the physical plant , we propose to study the application possibilities of the recent control approaches and evaluate their contribution in the practical and theoretical fields consequently. Facing to the studied industrial process complexity, we choose to make recourse to fuzzy logic for analysis and treatment of its control problem owing to the fact that these technique constitute the only framework in which the types of imperfect knowledge can jointly be treated (uncertainties, inaccuracies, ...) offering suitable tools to characterise them. In the particular case of the turbo compressor, these imperfections are interpreted by modelling errors, the neglected dynamics and the parametric variations. Fuzzy logic intervene efficiently in the compressor modelling. The fuzzy logic model suggested in this work reproduced well the main characteristics of the turbo compressor dynamic model developed by Gretzer and Moore and give place to a more precise and easy to handle representation. It is about a inaccuracies reproducing with a certain degree of satisfaction of the real process without being as much complex . Keywords Compresseur, Fuzzy logic, Surge control, modeling, Stability analysis, Nonlinear plant. Nomenclature Ac Flow area as Speed of sound B Greitzer parameter J Squared amplitude of rotating stall m Compressor duct flow parameter Vp Plenum volume W Compressor characteristic semi-width T γ Throttle gain V γ CCV gain Φ Mass flow coefficient Ψ Pressure coefficient 1. Introduction A compressor transfers kinetic energy from an aero- mechanically-driven rotor to a steady flow of gas. The pressure of the gas is raised by converting the acceleration imparted by the rotating parts of the compressor via diffusion. In normal operation of a compressor, the flow is nominally steady and axisymmetric. The pressure rise is dependent on the speed of rotation, but the efficient range is limited. As the flow through the compressor is throttled from the design point to the stall limits, the steady axisymmetric flow pattern becomes unstable. This instability can take on one of two forms, either surge or rotating stall depending upon the compressor speed. The performance of a compressor is plotted as pressure ratio versus mass flow for different rotational speeds. The plot is divided into two regions by the stall (or surge) line. This line defines the operation limits of the compressor. To the left of the stall line the flow is no longer steady. In this region large oscillations of the mass flow rate may occur (surge) or severe selfinduced circumferential flow distortions may rotate around the annulus ( rotating Proceedings of the 6th WSEAS Int. Conf. on Electronics, Hardware, Wireless and Optical Communications, Corfu Island, Greece, February 16-19, 2007 79