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Multi-criteria optimization of the parameters of PSS3B system stabilizers operating in an extended power system with the use of a genetic algorithm

Nocoń Adrian, Paszek Stefan, Pruski Piotr

Archives of Control Sciences

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2022

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Vol. 32, No. 2

233--255

EN

In the paper, the application of multi-criteria optimization of the parameters of PSS3B system stabilizers to damping electromechanical swings in an extended power system (PS) is presented. The calculations of the power system stabilizer (PSS) parameters were divided into two stages. In the first stage, single-machine systems, generating unit - infinite bus, of generating units critical for the angular stability of the PS were analyzed. Time constants and preliminary values of the PSS gains were calculated. In the second stage, the main one, the main gains on which the effectiveness of operation of PSSs depends the most were calculated by multi-criteria optimization of the extended PS. The calculations were carried out in several variants: for two-dimensional objective functions and the six-dimensional objective function. In multi-criteria optimization, the solution is not one set of PSS parameters, but a set of sets of these parameters, i.e. a set of compromises that were determined for each analyzed case. Additionally, for the six-dimensional compromise set, projections of this set on the planes connected with the quantities of individual generating units and the boundary of these projections on these planes were determined. A genetic algorithm adapted to multi-criteria issues was used to minimize the multivariate objective function. Sample calculations were made for the model of the National (Polish) Power System taking into account 57 selected generating units operating in high and extra high voltage networks (220 and 400 kV). The presented calculations show that the applied multi-criteria optimization of the PSS3B stabilizer parameters allows effectively damping electromechanical swings without worsening the voltage waveforms of generating units in the extended PS.

2

Power system oscillation damping controller design: a novel approach of integrated HHO-PSO algorithm

Devarapalli Ramesh, Kumar Vikash

Archives of Control Sciences

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2021

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Vol. 31, No. 3

553--591

EN

The hybridization of a recently suggested Harris hawk’s optimizer (HHO) with the traditional particle swarm optimization (PSO) has been proposed in this paper. The velocity function update in each iteration of the PSO technique has been adopted to avoid being trapped into local search space with HHO. The performance of the proposed Integrated HHO-PSO (IHHOPSO) is evaluated using 23 benchmark functions and compared with the novel algorithms and hybrid versions of the neighbouring standard algorithms. Statistical analysis with the proposed algorithm is presented, and the effectiveness is shown in the comparison of grey wolf optimization (GWO), Harris hawks optimizer (HHO), barnacles matting optimization (BMO) and hybrid GWO-PSO algorithms. The comparison in convergence characters with the considered set of optimization methods also presented along with the boxplot. The proposed algorithm is further validated via an emerging engineering case study of controller parameter tuning of power system stability enhancement problem. The considered case study tunes the parameters of STATCOM and power system stabilizers (PSS) connected in a sample power network with the proposed IHHOPSO algorithm. A multi-objective function has been considered and different operating conditions has been investigated in this papers which recommends proposed algorithm in an effective damping of power network oscillations.

3

Wpływ niepewności systemu elektroenergetycznego na polioptymalne parametry stabilizatorów systemowych

Nocoń A., Paszek S.

Zeszyty Naukowe Wydziału Elektrotechniki i Automatyki Politechniki Gdańskiej

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2015

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Nr 42

73--76

PL

W artykule przedstawiono analizę wpływu niepewności parametrów modelu matematycznego systemu elektroenergetycznego na polioptymalne parametry stabilizatorów systemowych typu PSS2A. Kryteria optymalizacyjne określono dla zakłóceń występujących w siedmiomaszynowym systemie elektroenergetycznym, biorąc pod uwagę przebiegi przejściowe mocy chwilowych, prędkości kątowych (przebiegi związane z kołysaniami elektromechanicznymi) oraz napięcia zaciskowego generatorów. Do optymalizacji wielokryterialnej wykorzystano zmodyfikowany algorytm genetyczny. Ocenę wpływu niepewności na jakość pracy stabilizatorów systemowych o zoptymalizowanych parametrach przeprowadzono z wykorzystaniem statystycznych wskaźników deformacji.

EN

In the paper there is presented the analysis of the impact of different uncertainty sources of a power system on polyoptimal parameters of PSS2A power system stabilizers. For parameter optimization of power system stabilizers there was used polyoptimization (multi-criteria optimization). The optimization criteria were determined for disturbances occurring in a multi-machine power system. There were taken into account the transient waveforms associated with electromechanical swings (the instantaneous power and angular speed) as well as the waveforms of the terminal voltage of generators. A genetic algorithm with floating point encoding, tournament selection, averaging crossover and non-uniform mutation, modified for research, was used for the optimization. Assessment of the impact of the uncertainty on the quality of operation of the power system stabilizers with optimized parameters was made with the use of deformation factors.

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Estimation of the Influence of Power System Mathematical Model Parameter Uncertainty on PSS2A System Stabilizers

Nocoń A., Paszek S.

Acta Energetica

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2015

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nr 3

48--58

EN

his paper presents an analysis of the influence of uncertainty of power system mathematical model parameters on optimised parameters of PSS2A system stabilizers. Optimisation of power system stabilizer parameters was based on polyoptimisation (multi-criteria optimisation). Optimisation criteria were determined for disturbances occurring in a multi-machine power system, when taking into account transient waveforms associated with electromechanical swings (instantaneous power, angular speed) and terminal voltage waveforms of generators. A genetic algorithm with floating-point encoding, tournament selection, mean crossover and perturbative mutations, modified for the needs of investigations, was used for optimisation. The impact of uncertainties on the quality of operation of power system stabilizers with optimised parameters has been evaluated using various deformation factors.

PL

W artykule przedstawiono analizę wpływu niepewności parametrów modelu matematycznego systemu elektroenergetycznego na zoptymalizowane parametry stabilizatorów systemowych typu PSS2A. Do optymalizacji parametrów stabilizatorów systemo- wych zastosowano polioptymalizację (optymalizację wielokryterialną). Kryteria optymalizacyjne określono dla zakłóceń wystę- pujących w wielomaszynowym systemie elektroenergetycznym, biorąc pod uwagę przebiegi przejściowe związane z kołysaniami elektromechanicznymi (moc chwilowa, prędkość kątowa) i przebiegi napięcia zaciskowego generatorów. Do optymalizacji wykorzystano zmodyfikowany na potrzeby badań algorytm genetyczny z kodowaniem zmiennoprzecinkowym, selekcją turniejową, krzyżowaniem uśredniającym i mutacją perturbacyjną. Ocenę wpływu niepewności na jakość pracy stabilizatorów systemowych o zoptymalizowanych parametrach przeprowadzono z wykorzystaniem różnych wskaźników deformacji.

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Polioptymalizacja parametrów stabilizatorów systemowych pracujących w wielomaszynowym systemie elektroenergetycznym

Paszek S.

Przegląd Elektrotechniczny

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2012

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R. 88, nr 9a

62-66

PL

W artykule przedstawiono metodę wyznaczania zbiorów rozwiązań Pareto optymalnych (zbiorów kompromisów) – wartości parametrów stabilizatorów systemowych PSS3B pracujących w wielomaszynowym systemie elektroenergetycznym - przy optymalizacji różnych wielowymiarowych kryteriów. Te kryteria są określone dla konkretnych zakłóceń biorąc pod uwagę przebiegi nieustalone mocy chwilowej, prędkości kątowej i napięcia zaciskowego generatorów w jednym wybranym zespole wytwórczym lub we wszystkich zespołach analizowanego systemu.

EN

The paper presents a method for determining sets of Pareto optimal solutions (compromise sets) - parameter values of PSS3B system stabilizers working in a multi-machine power system - when optimising different multidimensional criteria. These criteria are determined for concrete disturbances when taking into account transient waveforms of the instantaneous power, angular speed and terminal voltage of generators in one, chosen generating unit or in all units of the system analysed.

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Use of Pareto optimisation for tuning power system stabilizers

Paszek S.

Bulletin of the Polish Academy of Sciences. Technical Sciences

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2012

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Vol. 60, nr 1

125-131

EN

The paper presents a method for determining sets of Pareto optimal solutions (compromise sets) – parameter values of PSS3B system stabilizers working in a multi-machine power system – when optimising different multidimensional criteria. These criteria are determined for concrete disturbances when taking into account transient waveforms of the instantaneous power, angular speed and terminal voltage of generators in one, chosen generating unit or in all units of the system analysed. The application of multi-criteria methods allows taking into account the optimisation process of power system stabilizer (PSS) parameters, many sometimes contradictory requirements (criteria) without losing ability to reach the optimal solution. A choice of the compromise solution can be made by assuming the values of the weighting coefficients associated with particular components of the vector criterion and determining the equivalent, global criterion. A change of the values of those weighting coefficients in the equivalent criterion does not require, in the case of the Pareto optimization, carrying out repeated calculations.