Theoretical analysis of different feedback concepts for active vibration control of rotating machines with current-controlled electrodynamic actuators between machine feet and steel frame foundation
- The paper presents a theoretical analysis of different feedback concepts for active vibration control of rotating machines with current-controlled electrodynamic actuators between the machine feet and the steel frame foundation. A generalized mathematical formulation—based on a detailed formulation and on simplified formulations—has been derived, which can be used for different vibration models with different degrees of discretization. In the simplified mathematical formulations, the control parameters are implemented directly in the stiffness and damping matrix of the vibration system or, under special conditions, even directly in the stiffness and damping coefficients of the actuators. For these limit conditions, the controlled system can be replaced by a substituted mechanical system, which allows rapid predictions and optimizations regarding active vibration control of rotating machines without too much effort. Based on the generalized mathematical formulations, a very simplified model of an induction motor is analyzed withThe paper presents a theoretical analysis of different feedback concepts for active vibration control of rotating machines with current-controlled electrodynamic actuators between the machine feet and the steel frame foundation. A generalized mathematical formulation—based on a detailed formulation and on simplified formulations—has been derived, which can be used for different vibration models with different degrees of discretization. In the simplified mathematical formulations, the control parameters are implemented directly in the stiffness and damping matrix of the vibration system or, under special conditions, even directly in the stiffness and damping coefficients of the actuators. For these limit conditions, the controlled system can be replaced by a substituted mechanical system, which allows rapid predictions and optimizations regarding active vibration control of rotating machines without too much effort. Based on the generalized mathematical formulations, a very simplified model of an induction motor is analyzed with typical excitations such as mechanical unbalance, electromagnetic forces in the air gap, and vibrations of the base. The paper shows how the vibration system is affected by different feedback concepts and demonstrates the effectiveness of these concepts.…

