International Journal of Electrical Power & Energy Systems
ReviewThe nonlinear internal control of STATCOM: theory and application
Introduction
Flexible AC transmission systems (FACTS) devices, which are based on voltage-source or current-source inverters, such as Static Synchronous Var Compensator (STATCOM), Static Synchronous Series Compensator (SSSC), and Unified Power Flow Controller (UPFC), have been used to flexible power flow control, secure loading and damping of power system oscillations [1], [2]. As one kind of the typical FACTS devices, STATCOM is playing more and more important roles in reactive power provision and voltage support because of its attractive steady state performance and operating characteristics, which has been well studied in the past years. Moreover, lots of work about its dynamic characteristics and applications to improve the transient stability of power systems also have been done [3], [4]. As we know, proper control strategies corresponding to the control objectives are necessary in order to achieve full utilization of STATCOM. So far, various control approaches have been applied to STATCOM dynamical control and achieve many good results [5], [6], [7], [8], [9]. Nevertheless, most of these literatures have not clearly documented the holistic configuration of control system of STATCOM, which is obstruction of the systemic designing STATCOM controllers in industrial practice. Usually, when one designs STATCOM controllers, two usual ways are utilized as follows:
- 1.
Adopting a detail model of STATCOM without distinguishing the internal and external control. The design process is obviously extremely complex and difficult to handle since the controller must consider the electromechanical dynamics of power systems and internal electromagnetic transience of STATCOM itself, which is much faster than the former one, at the same time. Furthermore, in the design process, the model of STATCOM involves the electromagnetic transience caused by inductances and capacitors, while the model of power systems does not consider such transience but only the sine steady state of voltages and currents. It is difficult to explain why different ways are adopted to handle the dynamics from the viewpoint of physical reality and mathematical reasoning.
- 2.
Adopting a simplified model without distinguishing the internal and external control. Such way significantly simplifies the design process because simpler model is adopted. Whereas, there are two potential problems: (a) What is the theoretical foundation of the simplification? (b) How to deal with the internal electromagnetic transience of STATCOM? In most literatures, these two problems are not documented.
Basically, the difficult is caused by different time scale of external electromechanical dynamics and internal electromagnetic transience. For the sake of overcoming this difficult, one natural way is to decouple the control system into two levels: internal control and external control (or system control), which is shown in Fig. 1. Each of them has its specific control targets:
- 1.
The internal controller: operates the inverter power switches to generate a fundamental output voltage waveform with the demanded magnitude and phase angle in synchronism with the AC system. Besides, the internal control, the voltage on the DC capacitor should be constant in a PWM based STATCOM.
- 2.
The external controller: figures out reference inputs of the internal controller according to system dynamics, or rather, ‘tells’ the internal controller that how much reactive current the STATCOM should generate or absorb in order to meet the requirement of systems.
The inverter of static generator comprises a large number of GTO or IGBT. The gating pulses of these semiconductor power switches are generated by the internal inverter control in response to the demand of reference signals. From the viewpoint of injecting current, a STATCOM can be regarded as a controller to generate or absorb a demanded reactive current from the connected system. The reference signals of STATCOM (also the internal controller) are provided by the external controller, which determine the operating modes of STATCOM in response to the demand of the AC system. Besides, the internal control should also meet the requirements of secure operation of STATCOM itself. So another target of internal control is to keep the voltage on the DC capacitor to be constant in a PWM based STATCOM. Additionally, the real current exchange between the system and STATCOM should be limited too. There are also many other tasks that the internal control executes, such as to keep the maximum voltage and current within a safe limit. However, they are not the most important problems from the viewpoint of control systems. It is more suitable to discuss such issues in the design of protection systems. So we will not discuss these problems in the subsequent parts.
In industrial practice, the internal controller is an integral part of the inverter. Then, if the internal control strategy is well designed, the whole STATCOM system with its internal controller can be simplified to be a first-order inertia block when designing the external controller (system controller). Then the control variable of the external controller is changed to be the reactive current, which is also the reference signal of internal control. It is determined by the functional operations of STATCOM, the operator instructions and system variables. Therefore, the design of external controller can evade the complexity of internal dynamics of STATCOM itself, and the design of system control can emphasis on the dynamics between the AC system and STATCOM.
Fig. 1 shows the configuration of the two-level control system of STATCOM. Because of the similar structures of FACTS devices based on controllable inverter bridge, this control system configuration can be extended to most FACTS devices based on voltage source inverter (VSI).
Based on the two-level configuration of STATCOM control system, H∞ control approach, considering imprecise parameters and external disturbances [10], [11] is applied to design the internal controller of STATCOM. With this controller, STATCOM can be simplified to be a reactive current source with a first-order inertia block during the design of external controller. Based on the dynamical analysis of STATCOM, some improvements and optimizations have been developed to achieve a better dynamical performance and tracking accuracy. Since the emphases of this paper focuses on the internal control, the design of external controller will not be discussed here. Simulations are carried out to test the performance of this controller. The results show that the proposed controller can track the output reference with fast dynamic response. The robustness to parameters' variation and disturbances also has been verified. The comparison of performances between the proposed controller and conventional PI controller shows the advantage of the former one.
Section snippets
The model of STATCOM
The structure of a 6-pulse STATCOM is shown in Fig. 2, which is connected to an AC power system through a filter and a transformer, and there is no other energy storage device except for the DC capacitor. In order to establish the mathematical model, some assumptions and simplifications are stated as follows:
- 1.
The system parameters and the system voltages are three-phase balanced.
- 2.
All losses in STATCOM, transformer and filter are represented by an equivalent resistance, while all the inductances
Linearization of the model
From , , obviously the plant model is nonlinear. Conventionally, exact feedback approaches or approximate ones are used to transform it to be linear. In the following analysis, Direct Feedback Linearization (DFL) [13] is employed to obtain a linear model for system (3) as the following compact formwhereIt can be seen that the active current and reactive current are formally decoupled.
If the uncertain parameters and
Simulation results
Computer simulations are performed to illuminate the effects of the proposed controller. The output curves of STATCOM responding to the step change of references and time-varying references of reactive currents are plotted to demonstrate the performance of the controllers. Parameters of the 20 MV A STATCOM installed in HeNan, China, is adopted for this study, which arewhere C is the DC capacitor, xL the equivalent inductance including the
Conclusions
This paper suggests and clearly describes the two levels of the STATCOM control systems, i.e. internal control and external control, which can direct the control design for STATCOM. It is expected to extend this configuration to other FACTS devices. In addition, H∞ control approach is applied to design a nonlinear robust internal controller, which considers imprecise parameters and disturbances. With this internal control, the STATCOM can be simplified to be a first-order inertia block. Some
Acknowledgements
This work is supported partly by Chinese National Natural Science Foundation (Grant no. 59837270) and by Chinese National Key Basic Research Fund (Grant 1998020309), as well as by the New Energy and Industrial Technology Development organization of Japan (NEDO).
References (13)
- et al.
Robust decentralized nonlinear controller design for multimachine power systems
Automatica
(1997) Unified power-flow control concept for flexible ac transmission systems
IEE Proc-C
(1992)- Gyugyi L. Convert-based FACTS controllers. The Institute of Electrical Engineers. Printed and published by the IEE,...
- Gyugyi L. Advanced static var compensator using fate-turn-off thyristors for utility applications. CIGRE paper 23–203;...
- et al.
Development of a 100MVAR Static condensor for voltage control of transmission systems
IEEE Trans Power Deliv
(1995) - et al.
Basic control of unified power flow controller
IEEE Trans Power Syst
(1997)
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