Robust automatic generation control with saturated input using the ellipsoid method

Soliman, Hisham M.; Al-Hinai, Amer

doi:10.1002/etep.2483

Cited by 5 publications

(1 citation statement)

References 32 publications

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“…Guarantees on damping ratio and settling time were developed in [7]. Disturbance rejection guarantees using invariant ellipsoids were presented in [8], while [9] and [10] used invariant ellipsoids to estimate stability regions. However, none of these papers deals explicitly with minimizing the peak overshoot of the system.…”

Section: Introductionmentioning

confidence: 99%

Optimal L-Infinity Frequency Control in Microgrids Considering Actuator Saturation

Tabas¹,

Zhang

2019

Preprint

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Inverter-connected resources can improve transient stability in low-inertia grids by injecting active power to minimize system frequency deviations following disturbances. In practice, most generation and load disturbances are step changes and the engineering figure-of-merit is often the peak overshoot in frequency resulting from these step disturbances. In addition, the inverter-connected resources tend to saturate much more easily than conventional synchronous machines. However, despite these challenges, standard controller designs must deal with averaged quantities through H2 or H∞ norms and must account for saturation in ad hoc manners. In this paper, we address these challenges by explicitly considering L∞ control with saturation using a linear matrix inequality-based approach. We show that this approach leads to significant improvements in stability performance.

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