An Analytical Model for Small Signal Stability Analysis in Unbalanced Electrical Power Systems

Verdejo, Humberto; Moreira, Pablo; Kliemann, Wolfgang; Becker, Cristhian; Delpiano, José

doi:10.3390/app10248855

Cited by 5 publications

(5 citation statements)

References 16 publications

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“…The study of Eigenvalues is a well-established approach of linear algebra analysis that is often utilized in the process of determining the frequencies of oscillatory modes, as well as the damping ratios (DRs) between them, are made possible by means of conventional measurements. 44 To have a brief idea on the importance of Eigen values in small signal stability analysis, several researchers have given a neat literature review and case studies to attain small-signal stability. 41,45 The Eigenvalues of the system in an electrical network can be obtained from n × n state matrix E, as…”

Section: Small-signal Stability Analysis and Eigenvaluesmentioning

confidence: 99%

Multi‐objective precise phasor measurement locations to assess small‐signal stability using dingo optimizer

Logeshwari,

Abirami,

Subramanian

et al. 2023

Optim Control Appl Methods

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Small‐signal stability is an important task and key research in electrical engineering for networks. This research article focuses on the implementation of a multi‐objective approach for choosing an optimal location for Phasor Measurement Units (PMUs) to quantify a power system's small‐signal stability by maximizing the signal‐to‐noise ratio (SNR) in the system. The novelty of this research lies in the implementation of Dingo Optimization (DOX) technique along with the Prony Analysis (PA) approach for the assessment of small‐signal stability in standard grid networks. The voltage angle, amplitude and the range of frequencies are measured by the optimal placement of PMUs, which primarily focus on the multi‐signal PA. To achieve the objective of this research, DOX integrated with the multi‐signal PA approach is used to determine the ideal position for PMU placement by considering maximum redundancy and optimizing the signal to noise ratio to a maximum level. The effectiveness of the DOX strategy is established with improved accuracy and fewer disturbances by optimizing the electromechanical oscillations of the system. The implementation of the DOX approach for attaining the best value of the maximized SNR is obtained by analyzing a wide set of conditions, perturbations, and additive noise, which provides an accurate assessment of damping ratio (DR) and frequency (f) of electromechanical oscillations. Numerical results obtained from the standard IEEE test systems (14, 39, 57, 118, and 300 bus systems) are compared with the existing methods in the literature. The statistical indices demonstrate that under the highly limited optimization context selected, the intended optimizer functions satisfactorily.

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Section: Small-signal Stability Analysis and Eigenvaluesmentioning

confidence: 99%

Multi‐objective precise phasor measurement locations to assess small‐signal stability using dingo optimizer

Logeshwari,

Abirami,

Subramanian

et al. 2023

Optim Control Appl Methods

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“…Generator temporary droop, r = 1.5; Turbine regulator temporary time constant, T r = 10 s. The generator's standard frequency controller parameters were set as follows: Gain K = 250 MW/Hz, dead-band = 200 mHz, droop r = 2.5, turbine regulator time constant Tr = 15 s and ramp = 100 MW/s. The simulation results are shown in Figures 17 and 18 When using the temporary parameters of the unit operating in the generator mode, a smaller frequency increase is seen; in addition, the amplitude of the active power oscillations of the HVDC BtB converter decreases from 10 MW to ~5 MW [20,22,32,[35][36][37][38].…”

Section: Response Of Isolated Eps To Sc Disconnection When 200 Mw Gen...mentioning

confidence: 99%

“…When two SC units operate and one of them disconnects, a faster dynamic process is observed after the disturbance, i.e., the isolated EPS stabilizes in a shorter period of time, but no significant improvement occurs. It is better to use two units operating in SC mode if possible [20,22,32,[35][36][37][38].…”

Section: Response Of Isolated Eps To Sc Disconnection When Two Units ...mentioning

confidence: 99%

“…After synchronizing the unit operating in SC mode with the isolated EPS, at the initial point in time, the SC generates electricity to the isolated EPS at about 3 MW (duration 1 s); due to the additional functions required to prepare the unit to operate in SC, demand starts to grow linearly until it reaches a load of (−50 MW), and the length of the process is 10 s. When a load of (−50 MW) is reached, demand spasmodically decreases to (−10 MW) and stabilizes, and the unit can operate indefinitely with a constant demand of (−10 MW). A graphic representation of this process is given in Figure 20a [20,22,32,[35][36][37][38].…”

Section: Response Of Isolated Eps To Sc Start-upmentioning

confidence: 99%

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Dynamic Stability Analysis of Isolated Power System

2022

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The islanded mode of operation of an electric power system (EPS) that has generation capabilities provided by conventional thermal power plants, by a pumped-storage power station, or from an interlink with a neighboring electric power system through an HVDC BtB converter is addressed in this paper. The risk for electrical power systems to fall into an islanded mode has recently grown, as it is caused not just by technical reasons but by a geopolitical situation as well. The current strains demand the close consideration of problems related to EPS operation in an islanded mode. This paper considers several. The research covers the following issues. The response of the islanded system to a sudden and spasmodic load change is analyzed in cases when the system deals with the disturbance with internal resources alone and with the help of an HVDC BtB converter’s frequency control functionality. Analysis of the impact of the settings of the HVDC BtB converter on the system’s response to disturbances is presented and the optimal set of parameters found. The impact of the system’s extended inertia on the system’s response is evaluated by using an additional unit of the pumped-storage power station in synchronous condenser mode. Transients in the system when switching a unit operating in synchronous condenser mode on and off are analyzed. The capability of the system to withstand major disturbances, such as disconnection of the pumped-storage power station’s unit operating in a pump mode and disconnection of the HVDC BtB converter in emergency modes, if a situation demands, is researched. The research is carried out by numerical simulations using PSS Sincal Electricity Basic software. Updated operating parameters of the isolated power system and the LCC HVDC BtB converter, as well as frequency control automation provided by ABB, were used in the simulations.

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“…Moreover, interest is always on the improvement of poorly damped oscillations. Furthermore, we have adopted the usual assumption that the power system runs in a balanced state; nevertheless, the small-signal analysis may be performed in an unbalanced power system [27]. The model described above was implemented in a MATLAB® environment with the algorithm developed by the authors.…”

Section: Power System Modelmentioning

confidence: 99%

Fundamental study of oscillations in the Nigerian power system

Ugwuanyi¹,

Uma²,

Ekwue³

2022

Nig. J. Tech.

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The power systems in developing countries are usually stressed and operated near their stability limits. Consequently, accurate sources of oscillations and their controls can present a challenge. This paper reports a comprehensive study of the oscillations in the Nigerian 48-bus power system. The dominant modes, sensitive locations for faults, and the most responsible generators were identified by modal analysis. Uniquely, the potential for nonlinear modal interaction of these modes was carefully investigated. The low-frequency modes identified are 1 Hz, 1.14 Hz, and 1.37 Hz, and they are associated mainly with the generators at Kainji, Afam, and Delta power stations. The results indicate the existence of inter-area phenomena and nonlinear modal interactions among these modes. Also, the analysis revealed that the generator at the Kainji power station is most affected by the nonlinear interactions.

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An Analytical Model for Small Signal Stability Analysis in Unbalanced Electrical Power Systems

Cited by 5 publications

References 16 publications

Multi‐objective precise phasor measurement locations to assess small‐signal stability using dingo optimizer

Multi‐objective precise phasor measurement locations to assess small‐signal stability using dingo optimizer

Dynamic Stability Analysis of Isolated Power System

Fundamental study of oscillations in the Nigerian power system

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