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Technical Brief

# Hydropower Plant Frequency Control Via Feedback Linearization and Sliding Mode Control

[+] Author and Article Information
Xibei Ding

Department of Mechanical and Nuclear Engineering,
The Pennsylvania State University,
University Park, PA 16802
e-mail: ping04102@msn.com

Alok Sinha

Department of Mechanical and Nuclear Engineering,
The Pennsylvania State University,
University Park, PA 16802
e-mail: axs22@psu.edu

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received August 12, 2013; final manuscript received February 24, 2016; published online May 3, 2016. Editor: Joseph Beaman.

J. Dyn. Sys., Meas., Control 138(7), 074501 (May 03, 2016) (5 pages) Paper No: DS-13-1318; doi: 10.1115/1.4032930 History: Received August 12, 2013; Revised February 24, 2016

## Abstract

This paper presents a new nonlinear controller design approach for a hydraulic power plant focusing on load frequency control aspect. It is based on input state feedback linearization and sliding mode/$H∞$ control. Simulation results for a nonlinear dynamic model of entire hydropower plant are presented and compared to those from the classical linear proportional-integral (PI) controller. A novel two-stage scheme for the nonlinear controller design with integral feedback is presented for a fast transient response and zero steady-state error.

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## References

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## Figures

Fig. 1

Hydropower plant scheme [2]

Fig. 2

Responses from three control methods

Fig. 3

Nonlinear controllers with and without integral feedback

Fig. 4

Nonlinear controller with second linear PI and nonlinear controller

Fig. 5

A full-state feedback control system

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