Probabilistic Power Flow Studies for Transmission Systems With Photovoltaic Generation Using Cumulants

Fan, Miao; Vittal, Vijay; Heydt, G.T.; Ayyanar, Raja

doi:10.1109/tpwrs.2012.2190533

Cited by 343 publications

(196 citation statements)

References 23 publications

(48 reference statements)

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“…The linear power flow model is adopted for power flow calculation, and Gram-Charlier expansion is used to gain the PDF and CDF of the state variables, such as node voltage, active line flow and so on. The specific mathematical procedure of the PPF based on cumulant method can see the reference [13,14].…”

Section: Ppf Based On Cumulant Methodsmentioning

confidence: 99%

Multi-objective optimal power flow for active distribution network considering the stochastic characteristic of photovoltaic

Zhou

Liu²,

Zhang³

et al. 2017

IOP Conf. Ser.: Earth Environ. Sci.

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Abstract.To mitigate the impact on the distribution networks caused by the stochastic characteristic and high penetration of photovoltaic, a multi-objective optimal power flow model is proposed in this paper. The regulation capability of capacitor, inverter of photovoltaic and energy storage system embedded in active distribution network are considered to minimize the expected value of active power the T loss and probability of voltage violation in this model. Firstly, a probabilistic power flow based on cumulant method is introduced to calculate the value of the objectives. Secondly, NSGA-Ⅱ algorithm is adopted for optimization to obtain the Pareto optimal solutions. Finally, the best compromise solution can be achieved through fuzzy membership degree method. By the multi-objective optimization calculation of IEEE34-node distribution network, the results show that the model can effectively improve the voltage security and economy of the distribution network on different levels of photovoltaic penetration. IntroductionAs the problems of energy depletion and environmental pollution becoming increasingly serious, distributed generations (DGs) has got rapid development on account of less investment, flexible generating method and environmental compatibility [1][2][3]. However, large scale integration of DGs has an impact on security, economy and reliability of distribution networks (DNs). With the rapid development of active distribution network (ADN) technologies, regulating means and objectives for optimal optimization becomes more complex , and the traditional reactive power optimization is no longer applicable [4]. Considering the characteristic of the regulating equipments on ADN, the optimization is a nonlinear programming problem including continuous and discrete variables. Reference [5] proposed a new multi-agent immune algorithm based on the mechanism of antibody cluster and compete expansion by integrating the reactive power of different types of DGs and traditional voltage regulating equipments to minimize the power loss. Reference [6] considered the stochastic characteristic of photovoltaic (PV) station, took the minimum of power loss as the objective function and built mathematical model of reactive power optimization for DNs based on chance constraints, the simulation results verified the model could decrease the power loss on the premise that

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Section: Ppf Based On Cumulant Methodsmentioning

confidence: 99%

Multi-objective optimal power flow for active distribution network considering the stochastic characteristic of photovoltaic

Zhou

Liu²,

Zhang³

et al. 2017

IOP Conf. Ser.: Earth Environ. Sci.

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“…Sampson et al, 2011) to energy (e.g. Fan et al, 2012) management. A DT typically consists of a high-speed server with large fixed screens on which to display complex data, models and simulation results.…”

Section: Introductionmentioning

confidence: 99%

Model-Driven Decision Arena: An Aerospace Case Study

Bertoni¹,

Wall²,

Bertoni³

2018

Design Conference Proceedings

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The concept of Decision Theatre (DT) is of great interest to leverage knowledge sharing in early stage design decision events. Yet, few contributions show how to configure a DT to support design space exploration and concept selection in cross-functional teams. This paper describes the development of a model-driven decision arena (MDDA) for aero-engine sub-system design. After presenting the descriptive study findings, it illustrates the overall logic of the MDDA environment and exemplifies its use in a case study related to the design of a turbine real structure (TRS) for commercial use.

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“…In addition, residential roof-top PV generation is not allowed to provide voltage control. PV generation can potentially cause various power quality issues in distribution networks, such as fluctuation of bus voltage magnitudes, line flows, and voltage violations [2]. Hence, the randomness and correlation of PV generation must be considered and statistically characterized.…”

Section: Introductionmentioning

confidence: 99%

“…The techniques for solving the PPF can be classified into two categories: analytical solution and Monte Carlo simulation [5]. There are different analytical probabilistic power flow methods such as convolution method [6][7][8][9], the point estimation method [10,11] and the cumulant method [2,12]. The necessitated unavoidable approximations always exit in the analytical methods [5].…”

Section: Introductionmentioning

confidence: 99%

“…Note that the correlation of PV generation is not considered in the above PPF methods. A cumulant-based PPF algorithm is presented in [2] to consider the correlation of PV generation. The corresponding probabilistic model of PV generation is acquired by combining the Beta distribution of solar irradiation and the normal distribution of the forecast error of the PV cell temperature.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Probabilistic Power Flow Studies Incorporating Correlations of PV Generation for Distribution Networks

Ren¹,

Yan²,

Zhao³

et al. 2014

Journal of Electrical Engineering and Technology

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-This paper presents a probabilistic power flow (PPF) analysis method for distribution network incorporating the randomness and correlation of photovoltaic (PV) generation. Based on the multivariate kernel density estimation theory, the probabilistic model of PV generation is proposed without any assumption of theoretical parametric distribution, which can accurately capture not only the randomness but also the correlation of PV resources at adjacent locations. The PPF method is developed by combining the proposed PV model and Monte Carlo technique to evaluate the influence of the randomness and correlation of PV generation on the performance of distribution networks. The historical power output data of three neighboring PV generators in Oregon, USA, and 34-bus/69-bus radial distribution networks are used to demonstrate the correctness, effectiveness, and application of the proposed PV model and PPF method.

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Probabilistic Power Flow Studies for Transmission Systems With Photovoltaic Generation Using Cumulants

Cited by 343 publications

References 23 publications

Multi-objective optimal power flow for active distribution network considering the stochastic characteristic of photovoltaic

Multi-objective optimal power flow for active distribution network considering the stochastic characteristic of photovoltaic

Model-Driven Decision Arena: An Aerospace Case Study

Probabilistic Power Flow Studies Incorporating Correlations of PV Generation for Distribution Networks

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