Multivariable non‐linear controller for a synchronous generator

Abstract

SUMMARYThe problem of multivariable controller synthesis for a turbogenerator is considered. Using the feedback linearization approach for multi-input non-linear systems, the existence of a linearizing state feedback for the improved reduced-order model of a turbogenerator is proved and the simplest form of this feedback is derived. Application of the obtained non-linear controller to the multivariable control of a turbogenerator provides very good results not only for the reduced-order model but also for the 'exact' (Park's) model of a turbogenerator. Simulations of fault and post-fault conditions in the obtained nonlinear control system confirm its superiority over a system with a voltage regulator and power system stabilizer.

Non-linear Control of UPFC for the Stabilization of Synchronous Generator

“…Thus, the most appropriate approach for controller design for a power system is the use of nonlinear control theory, i.e., multivariable feedback linearization scheme. The application of feedback linearization approaches for power system control was first investigated by Marino [2] and subsequently by several researchers [3][4][5]. This control technique has also been successfully applied to control of drives and power electronics based systems [6][7][8].…”

Flatness-Based Feedback Linearization of A Synchronous Machine Model With Static Excitation And Fast Turbine Valving

“…Figure 2 summarizes the simulation block diagram implemented in the Matlab version 6.5. In all simulations, the constraints on equations (8) and (9) that is, the admissible values of the field voltage and steam valve position are included. It is assumed the generator terminals were connected to the infinite bus via a transformer and a tie line consisting of a resistance R e and inductance X e as shown in the single line diagram of Fig.…”

“…Notable among them include feedback linearization schemes, optimal control, neural networks etc. Many authors [2], [3][4][5][6][7][8] have applied input-state and input-output feedback linearization schemes for SISO and MIMO systems to the synchronous machine model with good results.…”

Discontinuous Controller for Power Systems: Sliding-Mode Block Control Approach

“…Then, the equation for (37) with (20) and (21) is of the form (38) where , , , . For the case , the vector in (38) can be selected similar to (35), of the form (39) where is pseudo inverse matrix of , .…”