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Building the conditional probability distribution of wind power forecast errors benefits both wind farms (WFs) and independent system operators (ISOs). Establishing the joint probability distribution of wind power and the corresponding…

Machine Learning · Computer Science 2020-03-03 Mengshuo Jia , Shaowei Huang , Zhiwen Wang , Chen Shen

Due to the uncertainty of distributed wind generations (DWGs), a better understanding of the probability distributions (PD) of their wind power forecast errors (WPFEs) can help market participants (MPs) who own DWGs perform better during…

Systems and Control · Computer Science 2020-03-03 Mengshuo Jia , Chen Shen , Zhaojian Wang

In power system operation, characterizing the stochastic nature of wind power is an important albeit challenging issue. It is well known that distributions of wind power forecast errors often exhibit significant variability with respect to…

Data Analysis, Statistics and Probability · Physics 2017-12-05 Zhiwen Wang , Chen Shen , Feng Liu

This paper proposes a distributionally robust optimal power flow (OPF) model for transmission grids with wind power generation. The model uses the conditional value-at-risk (CVaR) constraints to control the reserve and branch flow limit…

Systems and Control · Electrical Eng. & Systems 2021-10-27 Lei You , Hui Ma , Tapan Kumar Saha , Gang Liu

A new probabilistic post-processing method for wind vectors is presented in a distributional regression framework employing the bivariate Gaussian distribution. In contrast to previous studies all parameters of the distribution are…

Applications · Statistics 2019-07-26 Moritz N. Lang , Georg J. Mayr , Reto Stauffer , Achim Zeileis

Gaussian Mixture Models (GMMs) commonly arise in communication systems, particularly in bilinear joint estimation and detection problems. Although the product of GMMs is still a GMM, as the number of factors increases, the number of…

Signal Processing · Electrical Eng. & Systems 2026-02-04 Zilu Zhao , Dirk Slock

This manuscript provides additional case analysis for the parameters setting of the distributed probabilistic modeling algorithm for the aggregated wind power forecast error.

Signal Processing · Electrical Eng. & Systems 2018-09-05 Mengshuo Jia , Chen Shen , Zhiwen Wang

The probabilistic characteristics of daily wind speed are not well captured by simple density functions such as Normal or Weibull distribuions as suggested by the existing literature. The unmodeled uncertainties can cause unknown influences…

Systems and Control · Computer Science 2018-09-17 Weigao Sun , Mohsen Zamani , Hai-Tao Zhang , Yuanzheng Li

Short-term probabilistic wind power forecasting can provide critical quantified uncertainty information of wind generation for power system operation and control. As the complicated characteristics of wind power prediction error, it would…

Machine Learning · Computer Science 2017-02-14 You Lin , Ming Yang , Can Wan , Jianhui Wang , Yonghua Song

To capture the stochastic characteristics of renewable energy generation output, the chance-constrained unit commitment (CCUC) model is widely used. Conventionally, analytical solution for CCUC is usually based on simplified probability…

Optimization and Control · Mathematics 2019-05-30 Yue Yang , Wenchuan Wu , Bin Wang , Mingjie Li

The recent trend towards Personalized Federated Learning (PFL) has garnered significant attention as it allows for the training of models that are tailored to each client while maintaining data privacy. However, current PFL techniques…

Machine Learning · Computer Science 2023-05-03 Yue Wu , Shuaicheng Zhang , Wenchao Yu , Yanchi Liu , Quanquan Gu , Dawei Zhou , Haifeng Chen , Wei Cheng

In this paper we study the problem of distributed estimation of a Gaussian vector with linear observation model in a wireless sensor network (WSN) consisting of K sensors that transmit their modulated quantized observations over orthogonal…

Signal Processing · Electrical Eng. & Systems 2020-05-01 Mojtaba Shirazi , Alireza Sani , Azadeh Vosoughi

Due to the fluctuating nature of the wind and the increasing use of wind energy as a power source, wind power will have an increasing negative influence on the stability of the power grid. In this paper, a model predictive control strategy…

Systems and Control · Electrical Eng. & Systems 2020-07-14 Valentijn van de Scheur , Sjoerd Boersma

Accurate production forecasts are essential to continue facilitating the integration of renewable energy sources into the power grid. This paper illustrates how to obtain probabilistic day-ahead forecasts of wind power generation via…

Machine Learning · Computer Science 2026-02-16 Max Bruninx , Diederik van Binsbergen , Timothy Verstraeten , Ann Nowé , Jan Helsen

High wind energy penetration critically challenges the economic dispatch of current and future power systems. Supply and demand must be balanced at every bus of the grid, while respecting transmission line ratings and accounting for the…

Optimization and Control · Mathematics 2013-05-28 Yu Zhang , Nikolaos Gatsis , Vassilis Kekatos , Georgios B. Giannakis

This research addresses distributed proportional power sharing of inverter-based Distributed Generators (DGs) in microgrids under variations in maximum power capacity of DGs. A microgrid can include renewable energy resources such as wind…

Systems and Control · Electrical Eng. & Systems 2021-04-21 Farzad Aalipour , Tuhin Das

Microgrids are resources that can be used to restore critical loads after a natural disaster, enhancing resilience of a distribution network. To deal with the stochastic nature of intermittent energy resources, such as wind turbines (WTs)…

Systems and Control · Computer Science 2017-09-25 Zhiwen Wang , Chen Shen , Yin Xu , Feng Liu , Xiangyu Wu , Chen-Ching Liu

While Bayesian inference provides a principled framework for reasoning under uncertainty, its widespread adoption is limited by the intractability of exact posterior computation, necessitating the use of approximate inference. However,…

Machine Learning · Statistics 2026-05-19 George Whittle , Juliusz Ziomek , Jacob Rawling , Maike A. Osborne

Understanding the dynamics of climate variables is paramount for numerous sectors, like energy and environmental monitoring. This study focuses on the critical need for a precise mapping of environmental variables for national or regional…

Applications · Statistics 2026-04-30 Pietro Colombo , Claire Miller , Xiaochen Yang , Ruth O'Donnell , Paolo Maranzano

Mixture models are a natural choice in many applications, but it can be difficult to place an a priori upper bound on the number of components. To circumvent this, investigators are turning increasingly to Dirichlet process mixture models…

Statistics Theory · Mathematics 2018-06-22 Łukasz Rajkowski
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