Applying H∞ optimisation method to power system stabiliser design Part 1: Single-machine infinite-bus systems

Yang, Ta‐I

doi:10.1016/s0142-0615(96)00026-9

Cited by 61 publications

(8 citation statements)

References 16 publications

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“…The response of the closed loop system due a 10% step change in mechanical torque is shown in Figure 5. The proposed design is compared to the conventional design presented in [15]. Remarkably, the proposed design ensures system stability at this test point while the conventional PSS fails.…”

Section: B Validation Based On Nonlinear Modelmentioning

confidence: 99%

Characterization of all robust PD-based PSSs: An interval arithmetic approach

Soliman

2013

2013 IEEE Power &Amp; Energy Society General Meeting

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Design of conventional power system stabilizers (PSSs) is load-dependent and thus has to be adjusted at every operating condition. An interval arithmetic (IA) based approach is proposed, to rigorously address load uncertainties associated with the design of PSS. The proposed approach characterizes the set of all robust stabilizing PSSs computed for a singlemachine infinite-bus system. A robust PSS can properly function over the full range of operating conditions. An interval plant transfer function is determined over the operating range where upper and lower bounds of the coefficients are precisely computed. Using a proportional-derivative (PD) PSS, an interval characteristic polynomial for the closed loop system is generated. Interval Routh-Hurwitz array is developed to determine the boundaries of robust stability region in K p -K d plane via IA computation. Thereafter, the results obtained by interval Routh array are relaxed using degenerate interval array with an image-set polynomial of the plant where the boundaries of the robust stability region is exactly computed. Simulation results confirm the effectiveness of a sample controller, which lies within the solution set, as it is applied to the original nonlinear system model under wide loading conditions.

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Section: B Validation Based On Nonlinear Modelmentioning

confidence: 99%

Characterization of all robust PD-based PSSs: An interval arithmetic approach

Soliman

2013

2013 IEEE Power &Amp; Energy Society General Meeting

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“…The tuning guidelines and applications of PSS with various signals are thoroughly discussed in Larsen and Swann . The design and practical application of PSS on the Ontario Hydro station are given in Kundur et al Useful PSS design methods on the multi‐machine environment are presented in Huwer et al, Gupta et al, and Gomes et al A number of PSS design techniques like robust control techniques, sliding mode control techniques, fuzzy sliding mode control techniques, optimization methods using LQR, H ∞ techniques artificial intelligence techniques such as fuzzy logic and neuro‐fuzzy techniques, linear control techniques such as pole placement techniques, nonlinear control techniques such as feedback linearization and adaptive control techniques had been developed by various researchers from the last two decades. Though they performed well in stabilizing the system, design of PSS for the multi‐machine power system using conventional techniques under variable operating conditions is a complex process and hence consume much computational time.…”

Section: Introductionmentioning

confidence: 99%

An improved whale optimization algorithm for the design of multi‐machine power system stabilizer

Butti¹,

Mangipudi²,

Rayapudi

2020

Int Trans Electr Energ Syst

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Summary An improved whale optimization algorithm (IWOA) for the design of a robust power system stabilizer (PSS) for the multi‐machine power system is developed in this paper. Tuning of PSS parameters using the proposed IWOA is carried out by minimizing a multi‐objective function comprising the damping ratio and damping factor of lightly damped oscillating modes of all the generators. The advantage of considering the objective function is that the lightly damped and undamped oscillating modes of all the generators can shift to a prespecified zone of the s‐plane. The performance of the proposed IWOA is tested on standard benchmark test functions and compared with familiar optimization algorithms. The efficacy of the proposed design technique is tested on three benchmark test systems: three‐generator nine‐bus system, two‐area four‐machine interconnected system, and the New England 10‐generator 39‐bus system working on various operating conditions under several typical disturbances. The potential of the proposed method is demonstrated through eigenvalue analysis. The proposed IWOA‐based PSS is compared with the other stabilizers to show its efficacy.

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“…Methods such as pole placement [26] using state feedback require all the state variable information, whereas model uncertainties are presented as a linear fractional transformation in [27] and the controller is designed using a quadratic performance index resulting in a controller with the same order as the plant. Robust PSS design using H ∞ & μ synthesis are described in [28][29][30][31], although finding the weighting factor is an additional task in the H ∞ method. The LMI technique [32][33][34] locates all the closed loop poles in a pre-specified bound.…”

Section: Introductionmentioning

confidence: 99%

Design of a robust PID-PSS for an uncertain power system with simplified stability conditions

Vijaya

Manyala

Mangipudi³

2020

Prot Control Mod Power Syst

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In a deregulated power system uncertainty exists and lack of sufficient damping can lead to Low Frequency Oscillations (LFO). The problem can be addressed using robust Power System Stabilizers (PSS). In this paper, an optimal procedure to design a robust PID-PSS using interval arithmetic for the Single Machine Infinite Bus (SMIB) power system is proposed. The interval modelling captures the wide variations of operating conditions in bounds of system coefficients. In the proposed design procedure, simple and new closed loop stability conditions for an SMIB interval system are developed and are used to design an optimum PID-PSS for improving the performance of an SMIB system. The optimum PID-PSS is attained by tuning the parameters using the FMINCON tool provided in MATLAB. The robustness of the proposed PID-PSS design is validated and compared to other notable methods in the literature when the system is subjected to different uncertainties. The simulation results and performance error values show the effectiveness of the proposed robust PID-PSS controller.

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Applying H∞ optimisation method to power system stabiliser design Part 1: Single-machine infinite-bus systems

Cited by 61 publications

References 16 publications

Characterization of all robust PD-based PSSs: An interval arithmetic approach

Characterization of all robust PD-based PSSs: An interval arithmetic approach

An improved whale optimization algorithm for the design of multi‐machine power system stabilizer

Design of a robust PID-PSS for an uncertain power system with simplified stability conditions

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