Stochastic Small Signal Stability of a Power System with Uncertainties

Xu, Yan; Wen, Fushuan; Zhao, Hongwei; Chen, Ming‐Hui; Yang, Zaiyue; Shang, Hongyan

doi:10.3390/en11112980

Cited by 14 publications

(10 citation statements)

References 37 publications

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“…As is indicated in (11), the response time t r is inversely proportional to K P_PLL . The increase of t r means that it takes more time for PLL to lock the system voltage angle and frequency.…”

Section: Internal Stability Of Pll Modelmentioning

confidence: 94%

“…Fortunately, the decrease of K I_PLL (corresponded with the smaller k in Figure 9) could improve both of system damping and inertial response ability of the DFIG simultaneously. Furthermore, K I_PLL has no effects on the response rate of PLL according to (11). Therefore, the second principle for the parameters tuning in PLL is that the ratio of K I_PLL to K P_PLL is set as small as possible.…”

Section: Parameters Optimization For Damping Enhancement and Inertia mentioning

confidence: 99%

“…For this reason, the system frequency is decoupled from the partially rated power converter, which results in a loss of ability in the DFIG to provide inertia and frequency support [8,9]. The reduced inertia has also presented challenges to the system small signal stability [10,11]. This paper aims to improve both the inertia and oscillation damping of the power grid.…”

Section: Introductionmentioning

confidence: 99%

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Inertia Provision and Small Signal Stability Analysis of a Wind-Power Generation System Using Phase-Locked Synchronized Equation

Wang

Yuan

2019

Sustainability

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The inertia and damping of the modern power system are consistently decreased when wind energy has a high penetration level into the grid. This paper proposes a novel solution through transforming the wind turbine generator into an equivalent motion equation mimicking the basic characteristics of the synchronous generator (SG). This synchronized equation builds upon the phase-locked loop (PLL) model of the doubly-fed induction generator (DFIG), which characterizes the inertia constant, damping coefficient, and synchronizing torque. Thanks to this work, the dynamic performance of the inverter-based asynchronous generator could be analyzed from the perspective of the classical rotor motion equation. It further enables us to employ the analogy method to provide the DFIG with automated frequency response ability and to estimate the inertia constant quantitatively. Results also manifest that based on the synchronized equation, the PLL forms a power system stabilizer to enhance the power system oscillation. Hence, parameters tuning in PLL for coordinating inertia provision and damping enhancement are introduced. The contribution of this study lies in that the equivalent synchronized equation is established to optimize the system operation without alterations in the existing control structure of the DFIG. The theoretical analysis and the strategy are verified through the power system simulator.

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Section: Internal Stability Of Pll Modelmentioning

confidence: 94%

Section: Parameters Optimization For Damping Enhancement and Inertia mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Inertia Provision and Small Signal Stability Analysis of a Wind-Power Generation System Using Phase-Locked Synchronized Equation

Wang

Yuan

2019

Sustainability

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“…The system under study is a modified IEEE 37-bus power system where seven inverters were added at selected buses [1] to represent Distributed Energy Resources (DERs). The application of stochastic methods to the analysis of microgrids has gained increased attention with a lot of research papers focused on the control and stability analysis of power systems subject to random disturbances [2], [3], [4]. However, previous works did not consider large signal disturbances such as those resulting from a microgrid switching between different operating equilibrium points.…”

Section: Introductionmentioning

confidence: 99%

Markov Jump Linear System Analysis of a Microgrid Operating in Islanded and Grid Tied Modes

Mpembele¹,

Kimball²

2020

Preprint

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The analysis of power system dynamics is usually conducted using traditional models based on the standard nonlinear differential algebraic equations (DAEs). In general, solutions to these equations can be obtained using numerical methods such as the Monte Carlo simulations. The use of methods based on the Stochastic Hybrid System (SHS) framework for power systems subject to stochastic behavior is relatively new. These methods have been successfully applied to power systems subjected to stochastic inputs. This study discusses a class of SHSs referred to as Markov Jump Linear Systems (MJLSs), in which the entire dynamic system is jumping between distinct operating points, with different local small-signal dynamics. The numerical application is based on the analysis of the IEEE 37-bus power system switching between grid-tied and standalone operating modes. The Ordinary Differential Equations (ODEs) representing the evolution of the conditional moments are derived and a matrix representation of the system is developed. Results are compared to the averaged Monte Carlo simulation. The MJLS approach was found to have a key advantage of being far less computational expensive.

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“…The oscillations in power systems raise voltage-related problems along with a small signal stability problem, which is one of the most important factors that limit power transmission capacity and jeopardize safe operation [6,7]. Analytical solutions and mathematical models were used to analyze the effect of stochastic continuous disturbances on the power system small signal stability [8,9].…”

Section: Introductionmentioning

confidence: 99%

Small Signal Stability with the Householder Method in Power Systems

Sabati¹,

Bayındır

Padmanaban

et al. 2019

Energies

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Voltage collapse in power systems is still considered the greatest threat, especially for the transmission system. This is directly related to the quality of the power, which is characterized by the loss of a stable operating point and the deterioration of voltage levels in the electrical center of the region exposed to voltage collapse. Numerous solution methods have been investigated for this undesirable degradation. This paper focuses on the steady state/dynamic stability subcategory and techniques that can be used to analyze and control the dynamic stability of a power system, especially following a minor disturbance. In particular, the failure of one generator among the network with a large number of synchronous generators will affect other synchronous generators. This will become a major problem and it will be difficult to find or resolve the fault in the network due to there being too many variables, consequently affecting the stability of the entire system. Since the solution of large matrices can be completed more easily in this complex system using the Householder method, which is a small signal stability analysis method that is suggested in the thesis, the detection of error and troubleshooting can be performed in a shorter period of time. In this paper, examples of different rotor angle deviations of synchronous generators were made by simulating rotor angle stability deviations up to five degrees, allowing the system to operate stably, and concluding that the system remains constant.

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Stochastic Small Signal Stability of a Power System with Uncertainties

Cited by 14 publications

References 37 publications

Inertia Provision and Small Signal Stability Analysis of a Wind-Power Generation System Using Phase-Locked Synchronized Equation

Inertia Provision and Small Signal Stability Analysis of a Wind-Power Generation System Using Phase-Locked Synchronized Equation

Markov Jump Linear System Analysis of a Microgrid Operating in Islanded and Grid Tied Modes

Small Signal Stability with the Householder Method in Power Systems

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