Simplified approach for control of rotating stall. I - Theoretical development

Abstract

In this article the theoretical foundations of a simplified approach for control of rotating stall are presented. This approach requires two-dimensional sensing, but only a single one-dimensional axisymmetric effector with relatively low bandwidth requirements. The reduced actuation requirements of this approach are a consequence of the fact that in this approach one does not require or act upon rotating stall phase information. This is due to the fact that one does not seek to extend the theoretical stable axisymmetric flow range of the compressor. Rather, one seeks to directly address persistent disturbances that would otherwise throttle the equilibrium into the unstable axisymmetric flow range of the compressor. In addition, one seeks to enlarge the domains of attraction of linearly stable axisymmetric equilibria, thereby addressing impulsive disturbances that would otherwise perturb the system state beyond the domain of attraction of the stable axisymmetric equilibrium. Experimental validation of this approach on a single-stage low-speed axial compressor rig is discussed in Part 2 of this article.