Multi-time-scale analysis of a power system

Winkelman, J.; Chow, Joe H.; Allemong, J.J.; Kokotović, P.V.

doi:10.1016/0005-1098(80)90084-9

Cited by 84 publications

(23 citation statements)

References 6 publications

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“…Conventional power systems have been designed and operated under well engineered spatial and temporal hierarchies, so that generation is controlled through both feedforward optimization and feedback control to balance the fluctuating loads [14], [15].…”

Section: Reliability Requirement At Operating Stagementioning

confidence: 99%

“…This conventional hierarchy of planning and operating practice is based on the assumptions that (1) most generation resources are dispatchable and can contribute to generation capacity; (2) system supply and demand uncertainties do not vary significantly in typical operating days; and (3) there is lack of online data and computational power for direct coupling of planning and operating practices [13], [14]. However, the increasing penetration of variable uncertain wind power may render these assumptions invalid [1].…”

Section: Introductionmentioning

confidence: 99%

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Reliability Assessment at Day-Ahead Operating Stage in Power Systems with Wind Generation

Xie

Cheng

2013

2013 46th Hawaii International Conference on System Sciences

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This paper proposes to evaluate reliability performances at operating stage for power systems with variable wind generation. This is a first step towards recognizing the stronger coupling of power system decision making across different timescales. In the day-ahead energy-reserve co-optimization unit commitment model, the validity of using operating reserve as an approximation of long-term reliability requirement is tested with realistic wind generation profile. Reliability indices such as Loss of Load Probability (LOLP) and Loss of Expected Energy (LOEE) are computed at each hour of the day at the conclusion of the day-ahead unit commitment decision. Numerical experiments conducted in the IEEE Reliability Test System suggest that while operating reserve requirement does not change within a day, the actual reliability performance of the system varies significantly depending on (i) system loading conditions , (ii) wind power variation, and (iii) operating rules. Also, the operating reserve requirement is shown to either overapproximate or under-approximate the reliability requirement of power system. It indicates that operating reserve could be a very coarse deterministic approximation of system reliability requirement especially with high wind penetration. A much more integrated approach for modeling, analysis, and decision making is envisaged for provision of reliable and cost-effective electricity services.

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Section: Reliability Requirement At Operating Stagementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Reliability Assessment at Day-Ahead Operating Stage in Power Systems with Wind Generation

Xie

Cheng

2013

2013 46th Hawaii International Conference on System Sciences

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“…This gives the correction term: (5) Renaming as in (3) and (5) and using (1) we can approximation to the stator flux linkages or fast states is obtain an algebraic approximation for the fast states:…”

Section: Singular Perturbations and Two-time Scalesmentioning

confidence: 99%

Modeling effects of system frequency variations in induction motor dynamics using singular perturbations

Mathur²,

Jiang³

et al. 2000

IEEE Trans. Power Syst.

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This paper presents an application of singular perturbation theory to modeling induction motors in system simuladons. The focus is on model approximations and their impact on a motor's response to changes in system frequency as well as voltage. The fast states associated with the motor stator and rotor dynamics are eliminated from a full motor model using singular perturbations with a first order correction factor added. This leads to a reduced order motor model referred to as the singularly perturbed model. The starting performance of this model is compared to that of a full model, and to that of a simple model in which the fast states are modeled by neglecting the rates of change of the fast variables. The response of the singularly perturbed model is much closer to that of the full model than is that of the model which neglects the rates of change of the fast variables completely. It is also noted that a corrected first-order slip model of the induction motor can yield a more accurate speed response than a conventional uncorrected first-order slip model during frequency and voltage changes. The response of models are also compared to disturbances applied to a two-area, four-machine power system and again the singularly perturbed model performance is closer to that of the full model than is the model with the rates of change of the fast states neglected completely. While the simulation time using the singularly perturbed model is longer than that using the simple model, it is considerably less than that of the full model.

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“…To alleviate numerical stiffness, engineers usually separate states into two parts, and introduce a small parameter to determine the degree of separation between reduced (slow) and boundary layer (fast) models (Breusegem and Bastin 1991;Chow and Kokotovic 1976;Kokotovic, Khalil, and O'Reilly 1999;O'Malley 1991;Park and Lim 2013). Winkelman et al (1980) took notice of the multi-time scale characteristic of power systems, and gave the time-scale separation procedure in the beginning of 1980s. Sauer, Ahmed-Zaid, and Kokotovic (1988) presented the order reduction method and reduced model of synchronous generator.…”

Section: Introductionmentioning

confidence: 99%

Synchronization for linear singularly perturbed complex networks with coupling delays

Cai

Liu

et al. 2014

International Journal of General Systems

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This paper is concerned with the synchronization problem about linear singularly perturbed complex network system with coupling delay. The sufficient delay-dependent conditions for the synchronization of the network are established by introducing an equivalent network system with the Lyapunov stability theory. These conditions, which are formulated in terms of linear matrix inequalities, can be solved efficiently by the LMI toolbox of MATLAB. A simulation example is provided to show the validity of the proposed the synchronization conditions of the whole network.

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Multi-time-scale analysis of a power system

Cited by 84 publications

References 6 publications

Reliability Assessment at Day-Ahead Operating Stage in Power Systems with Wind Generation

Reliability Assessment at Day-Ahead Operating Stage in Power Systems with Wind Generation

Modeling effects of system frequency variations in induction motor dynamics using singular perturbations

Synchronization for linear singularly perturbed complex networks with coupling delays

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