Probabilistic Load Flow Considering Correlation between Generation, Loads and Wind Power

Villanueva, Daniel; Feijóo, Andrés; Pazos, José Luis Echarte

doi:10.4236/sgre.2011.21002

Cited by 40 publications

(21 citation statements)

References 24 publications

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“…The variability of demand is smaller than that of wind speed and the forecasting is fairly accurate, especially in the short term. Generally, demand uncertainty for shortterm scheduling can be modeled as a normal distribution [16], which is expressed as follows:…”

Section: Normal Distribution For Demand Uncertaintymentioning

confidence: 99%

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Impacts of Wind Power Integration on Generation Dispatch in Power Systems

Lyu¹,

Heo²,

Kim³

et al. 2013

Journal of Electrical Engineering and Technology

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-The probabilistic nature of renewable energy, especially wind energy, increases the needs for new forms of planning and operating with electrical power. This paper presents a novel approach for determining the short-term generation schedule for optimal operations of wind energy-integrated power systems. The proposed probabilistic security-constrained optimal power flow (P-SCOPF) considers dispatch, network, and security constraints in pre-and post-contingency states. The method considers two sources of uncertainty: power demand and wind speed. The power demand is assumed to follow a normal distribution, while the correlated wind speed is modeled by the Weibull distribution. A Monte Carlo simulation is used to choose input variables of power demand and wind speed from their probability distribution functions. Then, P-SCOPF can be applied to the input variables. This approach was tested on a modified IEEE 30-bus system with two wind farms. The results show that the proposed approach provides information on power system economics, security, and environmental parameters to enable better decision-making by system operators.

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Section: Normal Distribution For Demand Uncertaintymentioning

confidence: 99%

“…(12) should be analyzed separately on the PDF for generated power of a wind turbine depending on the value of v in , v r , and v out . Hence, the PDF for generated power can be divided and expressed as follows [16]. Finally, the aggregate wind power is (14) 4.…”

Section: Pdf For Generated Power Of a Wind Turbinementioning

confidence: 99%

Impacts of Wind Power Integration on Generation Dispatch in Power Systems

Lyu¹,

Heo²,

Kim³

et al. 2013

Journal of Electrical Engineering and Technology

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show abstract

“…Wind speed modeling for a specific wind farm is described by a Weibull distribution with scale c and shape parameter k because the Rayleigh distribution corresponds to a specific Weibull distribution form with the shape factor k = 2. The general structure of the Weibull probabilistic density function (PDF) is shown in these equations [18]:…”

Section: Wind Speedmentioning

confidence: 99%

Probabilistic Approach to Optimizing Active and Reactive Power Flow in Wind Farms Considering Wake Effects

et al. 2013

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This paper presents a novel probabilistic optimization algorithm for simultaneous active and reactive power dispatch in power systems with significant wind power integration. Two types of load and wind-speed uncertainties have been assumed that follow normal and Weibull distributions, respectively. A PV bus model for wind turbines and the wake effect for correlated wind speed are used to achieve accurate AC power flow analysis. The power dispatch algorithm for a wind-power integrated system is modeled as a probabilistic optimal power flow (P-OPF) problem, which is operated through fixed power factor control to supply reactive power. The proposed P-OPF framework also considers emission information, which clearly reflects the impact of the energy source on the environment. The P-OPF was tested on a modified IEEE 118-bus system with two wind farms. The results show that the proposed technique provides better system operation performance evaluation, which is helpful in making decisions about power system optimal dispatch under conditions of uncertainty.

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“…Torres et al only search for linear correlation in a very few data leading to questionable conclusions. Finally, in Villanueva et al's paper, the dependency is considered as an input variable of a power flow algorithm. They present a methodology based on Monte Carlo simulation to generate data with several level of uncertainties.…”

Section: Introductionmentioning

confidence: 99%

Probabilistic modelling of renewable generation to account for uncertainties in interconnection studies

Garry

Alvarez‐Hérault

Cadoux

et al. 2019

Int Trans Electr Energ Syst

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Summary The development of renewable generation connected to the distribution network can create overvoltage or overcurrent situations leading to expensive upgrades of the network. Solutions such as production curtailment could avoid these expenditures, but in order to take full advantage of these new solutions, one must first appropriately model the statistical behaviour of loads and generation over several years with a high level of uncertainties. This paper performs a statistical analysis on 4254 real‐world generation time series that run over about 2 years, with a 10‐minute time step, for four different types of generation technologies. This large dataset was made available thanks to a partnership with the major French distribution system operator (DSO), Enedis. The objective is to develop probabilistic models of the power output for each type of generator and also of the statistical dependency between two generators and between generation and load and to apply them on an interconnection case study.

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Probabilistic Load Flow Considering Correlation between Generation, Loads and Wind Power

Cited by 40 publications

References 24 publications

Impacts of Wind Power Integration on Generation Dispatch in Power Systems

Impacts of Wind Power Integration on Generation Dispatch in Power Systems

Probabilistic Approach to Optimizing Active and Reactive Power Flow in Wind Farms Considering Wake Effects

Probabilistic modelling of renewable generation to account for uncertainties in interconnection studies

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