Probabilistic Load Flow Including Wind Power Generation

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

doi:10.1109/tpwrs.2010.2096436

Cited by 161 publications

(95 citation statements)

References 7 publications

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“…Note that, although the demand D t is measured in MWh and the capacities are measured in MW, the constraints in (3) make sense as the time step is one hour. We now define wind power W as a function of the wind speed v and the capacity S w [10]:…”

Section: Basic Modelmentioning

confidence: 99%

Joint optimisation of generation and storage in the presence of wind

Liu

Giulietti²,

Chen

2016

IET Renewable Power Generation

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Abstract:We study an independent grid where the penetration of wind energy is high and exploit the joint planning of energy storage and a renewable energy source, as it can potentially result in a more economical and efficient energy system. More specifically, we consider an energy system that consists of a gas-fired plant, and a small wind farm with a capacity for energy storage. We assume that the gas-fired plant has a maximum generation capacity that is no more than the electricity demand. We first propose an optimization model with known wind speed and electricity demand. Then we gradually extend this deterministic model to take into account the stochastic nature of the renewable energy source and electricity demand. Furthermore, we consider the possibility of connecting our system to the National Grid, which we import from or export to when our system has an energy shortage or surplus in meeting the demand. Our results provide helpful insights in planning the joint deployment of generation capacity and energy storage, and show that the system operates more efficiently and economically when it is connected to the National Grid.

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Section: Basic Modelmentioning

confidence: 99%

Joint optimisation of generation and storage in the presence of wind

Liu

Giulietti²,

Chen

2016

IET Renewable Power Generation

View full text Add to dashboard Cite

show abstract

“…The former is considered obeying Weibull distribution [12], and the latter is a piecewise function of wind speed [13] as shown in (1). …”

Section: Wind Power Distribution Characteristics Of Wind Outputmentioning

confidence: 99%

“…The objective of the relaxed operation sub-problem is set as the minimization of curtailment under all the operation constraints except the wind energy loss constraints (11) and the minimum wind power output space constraint (12). The objective function is as follows:…”

Section: Relaxed Operation Sub-problemmentioning

confidence: 99%

“…After solving the relaxed operation sub-problem, the feasibility of its solution to the operation sub-problem is checked by the constraints (11) and (12). If the solution is infeasible, according to the solution of the relaxed operation sub-problem, dual variables of constraint set (16) and (17), constraint (11), and the theory of Benders decomposition [23], the infeasible cut is generated as follows:…”

Section: Relaxed Operation Sub-problemmentioning

confidence: 99%

“…subject to constraints (5), (7), (8), (11), (12), (16), and (17). This non-linear programming problem can also be solved through the interior-point method.…”

Section: Operation Sub-problemmentioning

confidence: 99%

See 2 more Smart Citations

Flexible Transmission Expansion Planning for Integrating Wind Power Based on Wind Power Distribution Characteristics

Wang¹,

Wang²,

Zeng³

et al. 2015

Journal of Electrical Engineering and Technology

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-Traditional transmission planning usually caters for rated wind power output. Due to the low occurrence probability of nominal capacity of wind power and huge investment in transmission, these planning methods will leads to low utilization rates of transmission lines and poor economic efficiency. This paper provides a novel transmission expansion planning method for integrating largescale wind power. The wind power distribution characteristics of large-scale wind power output and its impact on transmission planning are analyzed. Based on the wind power distribution characteristics, this paper proposes a flexible and economic transmission planning model which saves substantial transmission investment through spilling a small amount of peak output of wind power. A methodology based on Benders decomposition is used to solve the model. The applicability and effectiveness of the model and algorithm are verified through a numerical case.

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Probabilistic load flow computation considering dependence of wind powers and using quasi‐Monte Carlo method with truncated regular vine copula

Huang

Chen

et al. 2020

Int Trans Electr Energ Syst

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Modeling high-dimension dependence is a challenging problem since it involves too many parameters. In this paper, aquasi-Monte Carlo (QMC) method based probabilistic load flow computation algorithm, which uses truncated regular vine copula and considers high-dimension dependence of wind powers, is proposed. Firstly, the regular vine copulas, which use bivariate copulas as building blocks, are used to construct the primary high dimensional dependence. Then, truncation technology is adopted to reduce the computation burden and the memory consumption caused by the rapidly increased parameters number of input variables. Meanwhile, the nonparametric kernel estimation is used to estimate the wind speed marginal distributions and the bandwidth of kernel function is obtained by the direct plug-in method. Further, QMC method is integrated into the probabilistic power flow computation for obtaining the sampled data of input variables. By the numerical simulation experiments on the modified IEEE 118-bus power system, the superiority of the proposed probabilistic load flow computation method is verified.

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Probabilistic Load Flow Including Wind Power Generation

Cited by 161 publications

References 7 publications

Joint optimisation of generation and storage in the presence of wind

Joint optimisation of generation and storage in the presence of wind

Flexible Transmission Expansion Planning for Integrating Wind Power Based on Wind Power Distribution Characteristics

Probabilistic load flow computation considering dependence of wind powers and using quasi‐Monte Carlo method with truncated regular vine copula

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