A method for evaluating the performance of PSS with saturated input

Xin, Huanhai; Gan, Deqiang; Chung, T.S.; Jia-ju, Qiu

doi:10.1016/j.epsr.2006.09.016

Cited by 14 publications

(33 citation statements)

References 23 publications

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“…If the traditional methods in refs. [12,17] are directly used to deal with model (11), extra computational effort is required and conservative results can be expected. In this section, we will use the singular perturbation theory to reduce the order of optimization model (11) to overcome the singularity…”

Section: Remarkmentioning

confidence: 99%

“…Then there exists * 0 ε > such that for every Ω is a subset of the stability region of system (19) [12,17] , i.e. for 0 0…”

Section: Fundamental Theories For Stability Region Estimationmentioning

confidence: 99%

“…Using the Schur complements of matrices, the above optimization problem can be transformed into a simple LMI (Linear Matrix Equalities) optimization problem which can be solved easily [12,17] . Hence, an optimal set of problem (11), say…”

Section: Remarkmentioning

confidence: 99%

“…In particular, the work of Hu et al [12,16] introduced a LMI optimization to seek Lyapunov functions and the estimated stability region solution is improved. This approach was later applied to power systems [17] to evaluate the performance of a PSS. The importance of this result is that it permits a quantitative evaluation of saturated PSS performance, opening a new way to analyze the impact of control limits on power system stability.…”

Section: Introductionmentioning

confidence: 99%

“…To extend the results presented in refs. [12,17,23], we describe an order-reduction method for singular saturated systems. We prove that, under certain conditions, the reduced-order system produces exactly the same stability analysis result.…”

Section: Introductionmentioning

confidence: 99%

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A reduced-order method for estimating the stability region of power systems with saturated controls

et al. 2007

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In a modern power system, there is often large difference in the decay speeds of transients. This could lead to numerical problems such as heavy simulation burden and singularity when the traditional methods are used to estimate the stability region of such a dynamic system with saturation nonlinearities. To overcome these problems, a reduced-order method, based on the singular perturbation theory, is suggested to estimate the stability region of a singular system with saturation nonlinearities. In the reduced-order method, a low-order linear dynamic system with saturation nonlinearities is constructed to estimate the stability region of the primary high-order system so that the singularity is eliminated and the estimation process is simplified. In addition, the analytical foundation of the reduction method is proven and the method is validated using a test power system with 3 buses and 5 machines.saturation nonlinearity, power system stabilizer, linear matrix inequality, singular perturbation method, reduced-order method

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Section: Remarkmentioning

confidence: 99%

“…Then there exists * 0 ε > such that for every Ω is a subset of the stability region of system (19) [12,17] , i.e. for 0 0…”

Section: Fundamental Theories For Stability Region Estimationmentioning

confidence: 99%

Section: Remarkmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%