Fractional-Order Finite-Time, Fault-Tolerant Control of Nonlinear Hydraulic-Turbine-Governing Systems with an Actuator Fault

Abstract

Hydropower units undertake tasks such as peak shaving, frequency modulation, and providing accident reserves in the power system. With the increasing capacity and structural complexity of power systems, hydropower units have become more important. Hydraulic-turbine-governing systems (HTGSs) need to have higher control performance and automation levels to meet the higher regulatory requirements of the power system. To achieve high-quality control, we proposed a new finite-time, fault-tolerant control method for HTGSs with an actuator fault. First, a fractional-order model for HTGSs with uncertainty, external disturbance, and an actuator fault was introduced. Second, a fault estimator that could quickly track the fault signal for an actuator fault was proposed. Then, based on the fractional-order finite-time stability theorem, a finite-time, fault-tolerant controller was proposed for the stabilization of an HTGS. Furthermore, a controller was developed as a fractional differential form combined with a smooth bounded arctangent function to effectively suppress jitters and uncertainties. Finally, numerical experimental results verified the validity and robustness of the proposed scheme.

Stabilization of Fuzzy Hydraulic Turbine Governing System With Parametric Uncertainty and Membership Function Dependent H∞ Performance

“…. Now pre and post multiplying ( 12) and ( 13) with diag{Y T , Y T , Y T , Y T , Y T , I, I, I, Y T } and its transpose and utilizing the Schur complement, we obtain (30) and (31), respectively. This completes the proof.…”

Optimized Takagi–Sugeno Fuzzy Mixed H2/H∞ Robust Controller Design Based on CPSOGSA Optimization Algorithm for Hydraulic Turbine Governing System

“…Assuming that the generator q-axis transient electromotive force E q remains constant during the disturbance and ignoring the stator winding losses, the electromagnetic power P e * (p.u.) supplied to the grid by the convex-pole synchronous generator is obtained as Equation ( 6) [38]:…”

“…Substituting Equations ( 7)-( 10) into Equation ( 5) yields the second-order model of the generator in incremental form, as shown in Equation ( 11) [38]:…”

Evaluación de control y filtros fraccionales en la reducción de la interacción del acoplamiento cruzado en el modelo no lineal de una estación hidroeléctrica

“…También ha sido propuesto un Control en tiempo finito de orden fraccional, tolerante a fallas, para un sistema no lineal de turbinas hidráulicas que presenta fallas en el actuador, ha sido presentado por Yang et al [11]. En este trabajo un estimador de fallas en tiempo finito fue propuesto para observar rápidamente cambios de señales que indiquen fallas en el actuador.…”

“…6, el anti-windup puede implicar desconectar el integrador durante períodos de tiempo, los cuales son determinados conforme a la dinámica de recuperación. La estabilidad de los controles fraccionales ha sido abordada por diferentes autores [23] [24], sin embargo dado que la forma en la cual se realiza el diseño, en este trabajo, del control fraccional, éste es visto como un compensador en cascada tanto con la parte integral como la proporcional (11). Si se desarrolla la ecuación (11), el PID de orden fraccionario (FO-PID) puede verse como un filtro de segundo orden, con dos polos reales y un par…”