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Abstract. In this paper, a new control scheme is proposed to achieve stability for a single-machine infinite-bus power system. A power system model simultaneously considering input saturation and time-varying uncertainties is presented. A sufficient condition for the system convergence is given and based on this result, a switching excitation control law with auxiliary system is designed. The stability analysis and simulation results all show that the developed controller is effective.Key words: nonlinear robust control, input saturation, generator excitation, single-machine infinite-bus power systems (SMIB).Nonlinear robust control for single-machine infinite-bus power systems with input saturation Y. WAN * College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China tion to the control problem of nonlinear systems with input saturation. In [9], an auxiliary system is employed to address input constraints, but only boundedness of the "last modified virtual error" is obtained. If the desired value of control input greatly exceeds the constraints, then the auxiliary system will be unstable and thus the convergence of the "last virtual error" to the origin cannot be ensured. In [10], the tanh function and the mean-value theorem are used to deal with the saturation function, and then the redial basis function i.e. neural network is employed to approximate the unknown control gain. However, since the tanh function is also a kind of bounded function, when there are large disturbances and the desired value of control input goes beyond the range of tanh, the efficacy of the designed control law may be limited. In [11], dynamic surface control is used to equivalently transform a class of nonlinear system into a linear system, and then the region of attraction which is enlarged to allow some degree of input saturation is estimated via a linear matrix inequality method [12]. But this approach does not give a solution for a case when the initial condition is out of this region of attraction. This article proposes a new nonlinear robust control framework to tackle the stabilization problem for a class of nonlinear system with time-varying uncertainties and input saturation. Compared with the prior works, the proposed method ensures not only the boundedness of state variables but the global stability of the closed-loop system. Furthermore, the approach proposed processes the saturation phenomenon directly and does not require approximating the saturation function by a smooth function, which is often not invertible outside its range.The paper is organized as follows: the preliminaries and a SMIB power system model are described in Section 2. In Section 3, a sufficient condition for the convergence of states to the origin under saturation is shown in a Theorem, and then on the basis of this result, a switching excitation control law with auxiliary system (SAEC) is designed, as well as stability analysis for the closed-loop system with the designed controller. The simulation resul...
Abstract. In this paper, a new control scheme is proposed to achieve stability for a single-machine infinite-bus power system. A power system model simultaneously considering input saturation and time-varying uncertainties is presented. A sufficient condition for the system convergence is given and based on this result, a switching excitation control law with auxiliary system is designed. The stability analysis and simulation results all show that the developed controller is effective.Key words: nonlinear robust control, input saturation, generator excitation, single-machine infinite-bus power systems (SMIB).Nonlinear robust control for single-machine infinite-bus power systems with input saturation Y. WAN * College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China tion to the control problem of nonlinear systems with input saturation. In [9], an auxiliary system is employed to address input constraints, but only boundedness of the "last modified virtual error" is obtained. If the desired value of control input greatly exceeds the constraints, then the auxiliary system will be unstable and thus the convergence of the "last virtual error" to the origin cannot be ensured. In [10], the tanh function and the mean-value theorem are used to deal with the saturation function, and then the redial basis function i.e. neural network is employed to approximate the unknown control gain. However, since the tanh function is also a kind of bounded function, when there are large disturbances and the desired value of control input goes beyond the range of tanh, the efficacy of the designed control law may be limited. In [11], dynamic surface control is used to equivalently transform a class of nonlinear system into a linear system, and then the region of attraction which is enlarged to allow some degree of input saturation is estimated via a linear matrix inequality method [12]. But this approach does not give a solution for a case when the initial condition is out of this region of attraction. This article proposes a new nonlinear robust control framework to tackle the stabilization problem for a class of nonlinear system with time-varying uncertainties and input saturation. Compared with the prior works, the proposed method ensures not only the boundedness of state variables but the global stability of the closed-loop system. Furthermore, the approach proposed processes the saturation phenomenon directly and does not require approximating the saturation function by a smooth function, which is often not invertible outside its range.The paper is organized as follows: the preliminaries and a SMIB power system model are described in Section 2. In Section 3, a sufficient condition for the convergence of states to the origin under saturation is shown in a Theorem, and then on the basis of this result, a switching excitation control law with auxiliary system (SAEC) is designed, as well as stability analysis for the closed-loop system with the designed controller. The simulation resul...
This article presents a new design of robust finite-time controller which replaces the traditional automatic voltage regulator for excitation control of the third-order model synchronous generator connected to an infinite bus. The effects of system uncertainties and external noises are fully taken into account. Then a single input robust controller is proposed to regulate the system states to reach the origin in a given finite time. The designed robust finite-time excitation controller can refine the system behaviors in convergence and robustness against model uncertainties and external disturbances. The robustness and finite-time stability of the closed-loop system are analytically proved using the finite-time control idea and Lyapunov stability theorem. The suitability and robustness of the designed controller are shown in contrast with two other strong nonlinear control strategies. The main advantages of the proposed controller are as follows: a) robustness against system uncertainties and external noises; b) convergence to the equilibrium point in a given finite time; and c) the use of a single control input. V C 2015 Wiley Periodicals, Inc. Complexity 21: 203-213, 2016
SUMMARYIn the conventional excitation control concept, the power angle and frequency of a generator are driven to a pre-designed operation point after the fault occurs. It is named as Constant Point Stabilization (CPS) concept in this paper. A novel concept, called dynamic Center of Inertia (COI)-tracking concept is proposed in this paper. In the concept, the power angle and frequency of each generator track the dynamic COI of the power system. Compared to CPS concept, a salient feature the suggested dynamic COI-tracking concept has is that the generators are not restricted to constant angle point or frequency any longer but track the dynamic COI trajectory of the system to keep synchronous in rotor angle and frequency. Wide area measurement system (WAMS) will be used to transform COI signals to each generator. The time delay within a certain limit of WAMS signals is permitted. To make comparison between the two concepts, the control system models based on the two concepts are first established. Then, using the back-stepping method, two robust controllers are designed to achieve the control objectives of the two concepts. At last, dynamic simulations are carried out based on a 2-area-4-machine test power system, and the control effects of the two controllers, together with that of the conventional AVR þ PSS excitation system, are compared.
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