Engineering with Computers

, Volume 20, Issue 1, pp 45–53 | Cite as

The design of robust multi-loop-cascaded hydro governors

Original Article

Abstract

In the present paper, a new multi-loop-cascaded governor is proposed for hydro turbine controls. A turbine model is obtained that covers the effects of the water hammer, travelling waves, inelastic water penstocks and head loss due to the friction. Plant parameter uncertainties are taken into account to investigate stability robustness. The polynomial H robust control design method is used to design the multi-loop-cascaded governor. Water and load disturbance, and permanent oscillations in the power systems such as inter-area modes are included in the robust design procedure. Robust performance is achieved by using parameterised dynamic weighting functions of the design theory. The designed governor ensures that the overall system remains asymptotically stable for all norm-bounded uncertainties. Simulation results show that the system performance specifications and stability margins are improved significantly even in the presence of parameter uncertainties.

Keywords

Multi-loop-cascaded control  Robust governor  Speed control 

Nomenclature

-

Polynomial notation is employed and the polynomials are assumed to be functions of the complex s variable. X* denotes complex conjugate of the X.

a.

S: complex frequency \( s = j\omega ,{\text{ j}} = {\sqrt {{\text{ - 1}}} } \) and ω is the frequency.

b.

R+: Set of all positive real numbers

c.

R: Set of all real numbers

d.

R(.): Set of all real rational functions

e.

R[.]: Set of finite polynomials with real coefficients

f.

Rmxm(.): Set of all real (mxm) matrices

g.

Rmxm[.]: Set of polynomial (mxm) matrices.

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Copyright information

© Springer-Verlag London Limited 2004

Authors and Affiliations

  1. 1.Department of Electrical and Electronic EngineeringUniversity of GaziantepGaziantepTurkey

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