Abstract
A novel wide-area control design is presented to mitigate inter-area power frequency oscillations. A large-scale power system is decomposed into a network of passivity-short subsystems whose nonlinear interconnections have a state-dependent affine form, and by utilizing the passivity shortage framework a two-level design procedure is developed. At the lower level, any generator control can be viewed as one that makes the generator passivity-short and $L_2$ stable, and the stability impact of the lower-level control on the overall system can be characterized in terms of two parameters. While the system is nonlinear, the impact parameters can be optimized by solving a data-driven matrix inequality (DMI), and the high-level wide-area control is then designed by solving another Lyapunov matrix inequality in terms of the design parameters. The proposed methodology makes the design modular, and the resulting control is adaptive with respect to operating conditions of the power system. A test system is used to illustrate the proposed design, including DMI and the wide-area control, and simulation results demonstrate effectiveness in damping out inter-area oscillations.
Highlights
I NTER-AREA oscillations observed in large-scale power systems are typically recognized as low frequency problems on the order of 0.1–1.0 Hz
A novel systematic control design is proposed in this paper, and it uses the framework of passivity shortage, outlined in [17], applied to power systems
(8) Matrix inequality (8) is state-dependent but can efficiently be solved real-time for Ki, ii and ρi. This design based on data-driven matrix inequality (8) applies to individual subsystems and to the interconnected system as a whole, and it makes it possible to modularly synthesize a multi-level control for the resulting system, as shown by the four-step design process outlined in the subsequent section
Summary
I NTER-AREA oscillations observed in large-scale power systems are typically recognized as low frequency problems on the order of 0.1–1.0 Hz. The most critical issue to be addressed is an overall stability analysis of interconnected dynamic systems To this end, a novel systematic control design is proposed in this paper, and it uses the framework of passivity shortage, outlined in [17], applied to power systems. It is worth recalling that passivity-short systems and their properties are investigated in [20], and generator dynamics are always passivity-short [21] In this paper, this energy-based approach is applied to design a two-level control by taking advantage of wide-area measurement data. With WAMS data, reduced-order load flow equations can be identified, and the impact of passivity-short subsystems of coherent generators and their interconnections can be quantified by two parameters using data-driven matrix inequalities As such, their impacts can be minimized by the design of individual controls for the subsystems.
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