Mixed probabilistic and interval optimal power flow considering uncertain wind power and dispatchable load

Guo, Xiaoxuan; Gong, Renxi; Bao, Haibo

doi:10.1002/tee.22520

Cited by 6 publications

(5 citation statements)

References 22 publications

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“…The authors of the reference paper [51] stated that our solution method is more reliable, efficient, and robust than the other techniques. In paper [52], a mixed probabilistic and interval OPF method was used, and it has been presented that the proposed algorithm has the advantage of high solution efficiency. DEEPSO algorithm is applied to the OPF solution [55], and the Wilcoxon signed‐rank validation was conducted to show the supremacy, effectiveness, and robustness of the proposed technique.…”

Section: Discussionmentioning

confidence: 99%

“…This section demonstrates the P‐OPF simulations and validation performed by the proposed methods discussed in the literature [34–69]. The P‐OPF problem in electric power systems considers the integration of RE sources such as WT and PV.…”

Section: Discussionmentioning

confidence: 99%

“…Moreover, the WT integrated power system was investigated in reference [52]; the uncertain power production from WT and dynamic variation of the connected load was considered in the OPF problem solution. A mixed probabilistic and interval OPF model has proposed that the solution method includes MSC and affine arithmetic techniques.…”

Section: Systematic Literature On Advanced Studies For P-opfmentioning

confidence: 99%

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Advanced studies for probabilistic optimal power flow in active distribution networks: A scientometric review

Ullah

Wang

et al. 2022

IET Generation Trans & Dist

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In the active distribution networks (ADNs), the emerging trend of high penetration of sustainable energy sources such as wind turbines, photovoltaics, and the forthcoming integration of energy storage devices and additional dynamic loads like plug-in-electric vehicles (PEVs) influences to change the nature of electric distribution networks. Consequently, it deteriorates power quality and reliability in terms of unacceptable voltage rise-drop, harmonic distortion, voltage unbalance, and excessive power loss. In this context of transition into the active distribution network, the probabilistic optimal power flow (P-OPF) in the ADN is considered an important tool that helps the distribution grid operators for defining the optimal settings of the system's control variables. However, the optimal solution of P-OPF becomes highly complex while considering the multiple variables, timevarying characteristics and operational uncertainties associated with sustainable resources, consumer behaviour and electricity market prices. This review aims at promoting the research and discussion of P-OPF studies in the context of ADNs characteristics and challenges. First, we perform a data-driven and visualized scientometric analysis of 1988 quality documents retrieved from the Scopus during the last ten years using VOSviewer software. Second, an in-depth investigation of the recent and emerging techniques for solving the P-OPF problem is presented. Third, a set of recommendations and highlights of future challenges for P-OPF in ADNs are offered. The review findings showed high interest among the scientific community in sustainable energy source integration, given the recent rise in publications and citations. Also, there is still a lack of innovative optimization techniques that can adequately handle the current issues associated with P-OPF and objectives with fair computational efficiency and accuracy. Finally, this paper offers a guide for P-OPF researchers to navigate the recent studies considering the sustainable sources, spot the new research frontiers, and identify the most impactful countries and publishers.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Systematic Literature On Advanced Studies For P-opfmentioning

confidence: 99%

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Advanced studies for probabilistic optimal power flow in active distribution networks: A scientometric review

Ullah

Wang

et al. 2022

IET Generation Trans & Dist

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“…In this study, the minimum fuel cost of the system is taken as the objective function, and the GA is used to calculate the POPF (Guo et al, 2018;Lin et al, 2019), which can take into account the correlation between PV output and load, to optimize the operation status of the power system. Optimal power flow model is composed of objective function and power system constraints, in which power system constraints can be divided into equality constraints and inequality constraints.…”

Section: Popf Modelmentioning

confidence: 99%

Probabilistic Optimal Power Flow Calculation Method Based on Adaptive Diffusion Kernel Density Estimation

Lü

Bian

et al. 2019

Front. Energy Res.

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To accurately evaluate the influence of the uncertainty and correlation of photovoltaic (PV) output and load on the running state of power system, a probabilistic optimal power flow (POPF) calculation method based on adaptive diffusion kernel density estimation is proposed in this paper. First, based on the distribution characteristics of PV output, the adaptive diffusion kernel density estimation model of PV output is constructed, which can transform the kernel function into a linear diffusion process to achieve self-tuning of the bandwidth of the nuclear density estimation. This model can fit the distribution of arbitrary distribution of PV power, improve the local adaptability of PV output model, and reflect the uncertainty and volatility of PV output more accurately. Therefore, it can provide more accurate input for POPF calculation. Second, the Kendall rank correlation coefficient and the least Euclidean distance are used as correlation measure and index of fitting to select the optimal Copula function, and the joint probability distribution model of PV output and load is constructed. After extracting the correlated PV output and load samples, a POPF calculation method considering the correlation of PV output and load is proposed by using genetic algorithm (GA), which takes the lowest fuel cost of power generation as the objective function. Finally, simulation studies are conducted with the measured data of a PV power plant of China and the IEEE 30-bus power system. The results show that considering the correlation between PV output and load can improve the accuracy of POPF calculation and effectively reduce the power generation cost of the power system.

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“…However, these technologies pose significant challenges and problems to power system operation and control due to their uncertain inputs. So, it is essential to consider the probabilistic models to ensure safety and stability [4].…”

Section: Introductionmentioning

confidence: 99%

Comparison of solving probabilistic optimal power flow methods in the presence of wind and solar sources

Fattahi

Abdi

Khosravi

et al. 2022

murjet

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Power system control and operation studies have been experienced essential changes due to increasing the penetration of uncertain renewable energy resources. One of the most critical issues in this regard is the optimal power flow (OPF). As a result, the deterministic methods do not have the capability of different modeling uncertainties raised in new power systems, and there is a need to investigate the effective models in this regard. This paper focuses on probabilistic optimal power flow (POPF) methods applied to power systems with uncertain wind and Photovoltaic power generations. In this paper, the Monte Carlo simulation (MCS) and analytical methods such as the three-point estimation method (3PEM), unscented transformation (UT), and Interior-Point method (IPM) are applied to solve the probabilistic optimal power flow problem. MCS has been widely applied as a framework to assess the ability of analytical methods. The mentioned techniques are applied to a sample case study extracted from the IEEE 300-bus system. The main contribution of this work is the comparison of analytical methods concluding 3PEM, UT, and IPM, and with MCS as well. The obtained results on the studied networks by the suggested techniques show that in the 3PEM, due to the limited points, the optimal solution is achieved in less calculation time than the other methods. From another perspective, the voltage changes at the buses would be more stable in the IPM. Also, this method is much faster than the MCS method in terms of the convergence rate. To show the effectiveness of the mentioned methods, this paper presents probabilistic load flow method based on the statistical methods to deal with fluctuations because of large-scale renewable energy integration. The proposed methods are validated on the improved industrial 85–bus system of Kermanshah region (in the west of Iran) by adding solar and wind farms.

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Mixed probabilistic and interval optimal power flow considering uncertain wind power and dispatchable load

Cited by 6 publications

References 22 publications

Advanced studies for probabilistic optimal power flow in active distribution networks: A scientometric review

Advanced studies for probabilistic optimal power flow in active distribution networks: A scientometric review

Probabilistic Optimal Power Flow Calculation Method Based on Adaptive Diffusion Kernel Density Estimation

Comparison of solving probabilistic optimal power flow methods in the presence of wind and solar sources

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