Assessment of Polish Power System angular stability based on analysis of different disturbance waveforms

Pruski, Piotr; Paszek, S.

doi:10.1515/bpasts-2015-0049

Cited by 5 publications

(16 citation statements)

References 8 publications

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“…Assuming additionally that in the analyzed period of time (about a dozen or so minutes), the system does not change its properties in time, i.e. it is a stationary system, the PS model linearized at the steady state operating point can be presented in the form of the following state equations and output equations [3,7,13,[17][18][19]:…”

Section: The Linearized Ps Modelmentioning

confidence: 99%

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Archives of Control Sciences

Pruski

Paszek

2020

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In the paper, the results of investigations on the location of generating units most affecting the angular stability of a large power system (PS) are presented. For their location, the eigenvalues of the PS model state matrix associated with electromechanical phenomena (electromechanical eigenvalues) were used. The eigenvalues were calculated on the basis of the analysis of the disturbance waveforms of instantaneous power of the generating units operating in the PS. The used method of calculating eigenvalues consists in approximation of the disturbance waveforms of generating units by the waveforms being the superposition of modal components. The parameters of these components depend on the sought eigenvalues and their participation factors. The objective function was defined as the mean square error between the approximated and approximating waveforms. To minimize it, a hybrid algorithm, being a combination of genetic and gradient algorithms, was used. In the instantaneous power waveforms of generating units most affecting the PS angular stability, the least damped or undamped modal components dominate. They are related to eigenvalues with the largest values of real parts. The impact of individual modal components on the disturbance waveforms of subsequent generating units was determined with the use of participation factors and correlation coefficients of electromechanical eigenvalues.

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Section: The Linearized Ps Modelmentioning

confidence: 99%

“…where: ∆ denotes the deviation from the steady values of the respective quantities, A, B, C and D -state matrix and other matrices of specific dimensions and constant coefficients depending on the models and parameters of PS elements [17][18][19].…”

Section: The Linearized Ps Modelmentioning

confidence: 99%

Archives of Control Sciences

Pruski

Paszek

2020

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“…However, our goal in this paper is not to focus on this estimation, but instead to redesign the excitation control law (5-6) to stabilize the nonlinear system with input saturation. Then the proposed SAEC control strategy is presented as follows (5) where c 3 , p 3 and ε 2 are positive constants, z 4 …”

Section: Robust Control For Power Systems With Input Saturationmentioning

confidence: 99%

“…The main contents of this problem include generation, transmission and distribution of energy. Power system is regarded as one of the most complex systems in the world [1] and in order to obtain satisfactory and optimal operating state, many researchers have developed various solutions from their different professional perspectives [2][3][4][5]. This paper studies power system transient stability by using model-based control systems technology [6].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear robust control for single-machine infinite-bus power systems with input saturation

Wan

2017

Bulletin of the Polish Academy of Sciences Technical Sciences

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Abstract. In this paper, a new control scheme is proposed to achieve stability for a single-machine infinite-bus power system. A power system model simultaneously considering input saturation and time-varying uncertainties is presented. A sufficient condition for the system convergence is given and based on this result, a switching excitation control law with auxiliary system is designed. The stability analysis and simulation results all show that the developed controller is effective.Key words: nonlinear robust control, input saturation, generator excitation, single-machine infinite-bus power systems (SMIB).Nonlinear robust control for single-machine infinite-bus power systems with input saturation Y. WAN * College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China tion to the control problem of nonlinear systems with input saturation. In [9], an auxiliary system is employed to address input constraints, but only boundedness of the "last modified virtual error" is obtained. If the desired value of control input greatly exceeds the constraints, then the auxiliary system will be unstable and thus the convergence of the "last virtual error" to the origin cannot be ensured. In [10], the tanh function and the mean-value theorem are used to deal with the saturation function, and then the redial basis function i.e. neural network is employed to approximate the unknown control gain. However, since the tanh function is also a kind of bounded function, when there are large disturbances and the desired value of control input goes beyond the range of tanh, the efficacy of the designed control law may be limited. In [11], dynamic surface control is used to equivalently transform a class of nonlinear system into a linear system, and then the region of attraction which is enlarged to allow some degree of input saturation is estimated via a linear matrix inequality method [12]. But this approach does not give a solution for a case when the initial condition is out of this region of attraction. This article proposes a new nonlinear robust control framework to tackle the stabilization problem for a class of nonlinear system with time-varying uncertainties and input saturation. Compared with the prior works, the proposed method ensures not only the boundedness of state variables but the global stability of the closed-loop system. Furthermore, the approach proposed processes the saturation phenomenon directly and does not require approximating the saturation function by a smooth function, which is often not invertible outside its range.The paper is organized as follows: the preliminaries and a SMIB power system model are described in Section 2. In Section 3, a sufficient condition for the convergence of states to the origin under saturation is shown in a Theorem, and then on the basis of this result, a switching excitation control law with auxiliary system (SAEC) is designed, as well as stability analysis for the closed-loop system with the designed controller. The simulation resul...

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“…Such a serial connection of genetic and gradient algorithms eliminates the basic drawbacks of both optimization methods. The use of a genetic algorithm in the first stage of searching the minimum of the objective function eliminates the problem of precise determination of the starting point [13,14], whereas a gradient algorithm used in the second stage converges much faster towards the searched extremum [15].…”

Section: The Algorithm Used In the Estimation Processmentioning

confidence: 99%

Mathematical model parameter estimation of a generating unit operating in the Polish National Power System

Majka

Paszek

2016

Bulletin of the Polish Academy of Sciences Technical Sciences

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Abstract. In the paper, a method and results of parameter estimation of the mathematical model of a generating unit operating in the Polish National Power System are presented. Computations of the parameters were carried out based on measurement and simulation of dynamic waveforms of selected quantities of the generating unit. The problem of parameter identification was brought to minimization of the objective function determined by the vector of deviations between the approximated and approximating waveforms computed on the basis of the models expressed by the searched parameters. A hybrid optimization algorithm, being a serial combination of genetic and gradient algorithms, was used for minimization of the objective function. A methodology for filtering the recorded measurement signals is proposed in the paper. Method and results calculation of the sensitivity to changes of the model parameters of selected dynamic waveforms are also presented.Key words: power system, generating unit, optimization, study of dynamic models. Mathematical model parameter estimation of a generating unit operating in the Polish National Power System Mathematical description of generating unit elementsA generating unit operating in Pątnów Power Plant -a steam turbine driving TWW-200 turbo generator, together with an electro-machine excitation system consisting of a three-phase induction exciter, a diode rectifier and a voltage regulator -was chosen as a representative of generating units operating in the PNPS. The classical mathematical model of a synchronous generator expressed by reactances and time constants in the d and q axis, including saturation of the machine magnetic circuit, is a model representing the turbo generator installed in a power plant. This model was used for simulation calculations. The state and output equations of the generator model together with a detailed description are presented in [1,2,3].The model of the electro-machine excitation system installed in Pątnów Power Plant consists of three submodels: the model of the voltage regulator, the model of the exciter with an additional regulator and the model of the excitation voltage forming system (Fig. 1). In the schematic diagram in Fig. 1

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Assessment of Polish Power System angular stability based on analysis of different disturbance waveforms

Cited by 5 publications

References 8 publications

Archives of Control Sciences

Archives of Control Sciences

Nonlinear robust control for single-machine infinite-bus power systems with input saturation

Mathematical model parameter estimation of a generating unit operating in the Polish National Power System

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