Globally stabilizing switching controllers for a centrifugal compressor model with spool dynamics

Abstract

In this paper we develop a globally stabilizing stability-based switching controller for a three-state lumped parameter centrifugal compressor surge model. The proposed model involves pressure and mass flow compression system dynamics as well as spool dynamics to account for the influence of speed transients on the compression surge dynamics. The proposed nonlinear switching controller architecture involves throttle and compressor torque regulation and is directly applicable to compression systems with actuator amplitude and rate saturation constraints.

Centrifugal compressor identification using LOLIMOT

“…The latter one is utilized for the estimation of the linear weights in (2). The input space is decomposed in an axis-orthogonal manner yielding hyper-rectangles in whose centers the Gaussian membership functions In other words the LOLIMOT algorithm again divides one operating regime into two.…”

On Active Surge Control of Compression Systems via Characteristic Linearization and Model Nonlinearity Cancellation

“…p , respectively. This characteristic was derived by Gravdahl [5], experimentally validated by Gravdahl, et al [12], and has been used in [6]. In this paper, a physical-based compressor characteristic is used.…”

“…Therefore, the compressor can perform stably even in its unstable operating region. In the area of control strategies, several methods have been applied, namely proportional-integral control [5], globally stabilizing switching controllers [6], backstepping [7,8], and linear quadratic regulation (LQR) with integral action [9]. Since being introduced by Epstein, et al [1], various aspects of active surge control has been developed.…”

“…This means that the stable operating area of the compressor is extended and it can now reach its maximum efficiency. It is worth mentioning that the control strategies in [5][6][7][8][9][10] are applied to a centrifugal compressor model with spool dynamics. An overview about the development in model, sensor and actuator can be found in [2,3].…”

“…As a framework, the Moore-Greitzer compressor model with spool dynamics, developed in [5,6], was used. Throttle and torque were chosen as actuators as in [6]. Any loss occurring in the actuators, such as friction loss, was not taken into consideration.…”