State-Variable Feedback Control for Micro Gas Turbine Applied to Combined Heat and Power Systems: a Case Study

This paper presents the application of a dynamic model for the Elliot 100 kW microturbine operating in the city of Barranquilla, Colombia under partial load conditions from the validation carried out in a model implemented in the Polytechnic of Turin, Italy, with different operating conditions, in which a mathematical model is developed by selecting the elements that most frequently affect the dynamics of the gas microturbine (MTG) through information in order to obtain the semi-physical models of the phenomenological base. This model can be used for the study of the applications of non-linear control systems on gas microturbines operating at partial loads. Four tests are presented (performance, robustness, uncertainty and disturbance performance) in order to analyze the developed controller where it is possible to quantify the behavior of the control loops with performance indices based on the error signal e(t), for each partial load to which the microturbine has been subjected. In addition, increasing by 10% the K matrices of the developed controller, in 3 different stages for each established partial load, being able to test the robustness by means of the Ackerman method, in the uncertainty test, where changes are made to the process variable that is critical for the study (LHVb; fuel), it has been noted that by decreasing the LHVb by 36%, fuel consumption increases by 56%, causing problems in the mechanical internals of the equipment. Finally, the controller scheme is modified, adding a disturbance to the states (Ppl, n, and T5), managing to establish that the system is only altered when the disturbance directly affects the third state (T5), testing the driver's performance in disturbances.