An enhancement to cumulant-based probabilistic power flow methodologies

Le, Duong; Pham, Van Kien; Ngo, D. V.; Huynh, K. V.; Nguyen, Nhi Thi Ai; Berizzi, Alberto

doi:10.1109/isgt-asia.2015.7387150

Cited by 7 publications

(5 citation statements)

References 21 publications

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“…The uncertainty of each load is represented by a Gaussian distribution [9,10] in which the mean (expected value) is its base power and the standard deviation is assumed to be equal to a certain percentage, e.g., 8%, of the expected value.…”

Section: • Loadmentioning

confidence: 99%

“…Analytical methods use algorithms or techniques of analysis such as convolution [4][5][6] and semi-invariant (cumulant) [7][8][9][10][11]. Applying analytical techniques combined with the input-output relationship of the problem allows to determine the distribution functions of the output random variables (such as nodal voltage, current and power transmitted through branches) according to system parameters (line impedance, transformer impedance...) and probability distributions from input random variables from load, power generation of conventional generators and renewable energy sources, etc.…”

Section: Introductionmentioning

confidence: 99%

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A Hybrid Model for Probabilistic Analysis of Modern Power Systems with Integration of Renewable Energy Resources

Nhi,

Duong,

Duong

et al. 2023

UD-JST

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Modern power systems faces various uncertainties both from conventional sources, due to stochastic nature of both the load and the availability of generation resources and transmission assets, and from renewable resources. The increasing penetration of wind and solar power generation introduces additional uncertainty, causing more difficulties in power system analysis. To deal with uncertainties, Probabilistic Power Flow (PPF) has been introduced as an efficient tool. In this paper, we develop a hybrid model that combines scenario analysis technique and cumulant based PPF approach. It can take into account various sources of uncertainty in the power system and their correlations. The proposed approach is performed on IEEE-118 bus test system, indicating good performance in comparison with Monte Carlo approach.

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Section: • Loadmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Hybrid Model for Probabilistic Analysis of Modern Power Systems with Integration of Renewable Energy Resources

Nhi,

Duong,

Duong

et al. 2023

UD-JST

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show abstract

“…En los primeros se utilizan valores de entrada conocidos y fijos [23,24], en general la red se resuelve mediante un flujo de potencia convencional [25,26,27]. En los estocásticos, se tiene en cuenta la incertidumbre, y en la mayoría de los casos estos métodos se basan en un flujo de potencia probabilístico [28,29]. Para el análisis propuesto se desarrolla un algoritmo basado en un programa de resolución de flujo de potencia [30].…”

Section: Estudio Propuestounclassified

Red adaptada de baja tensión para un escenario aleatorio de generación distribuida fotovoltaica en Argentina

Jurado

Vinson

Nicchi

2022

Ingeniare. Rev. chil. ing.

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En este trabajo se muestra una metodología para determinar la red eléctrica de distribución de baja tensión (BT) técnica y económicamente adaptada, en un escenario aleatorio de incorporación de generación distribuida fotovoltaica (GDFV). Una red es adaptada cuando está diseñada minimizando los costos totales fijos y variables, y optimizando el equipamiento para satisfacer adecuadamente la demanda (tanto la demanda actual como su crecimiento esperado). El estudio considera que la incorporación de GDFV es exógena. El método se basa en el concepto de Hosting Capacity (HC) o Factor de Capacidad (FC). En el artículo se analizan cuatro redes de BT típicas del área metropolitana de Buenos Aires, Argentina (AMBA). Las redes son resueltas mediante un flujo de potencia estadístico, tomando como variables aleatorias la demanda residencial, la penetración de GDFV y la potencia y localización de los generadores fotovoltaicos dentro de la red. Mediante esta metodología se obtiene el factor de capacidad estadístico (FCE), el cual es usado para realizar el estudio técnico-económico de la red. Finalmente se obtiene la red adaptada para cada nivel de penetración de GDFV. Los resultados muestran que, sin penetración de GDFV, existen diferentes opciones de redes de distinto costo por km 2 . Cuando aumenta la penetración de GDFV, se van descartando (debido a su FCE) las redes de menor costo por km 2 y sólo sobreviven las redes de mayor costo por km 2 (las de menor módulo de transformación). Una vez superado el 70% de penetración de GDFV, ninguna de las redes estudiadas se contempla como opción.Palabras clave: Generación distribuida, generación solar, análisis computacional de sistemas de potencia, redes eléctricas de baja tensión, red adaptada.

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“…Their algebraic properties are very interesting and allow the calculations among different random variables to be performed easily. Cumulants of order r, r k , can be obtained from moments r m and vice versa [13]:…”

Section: Copula-based Cumulant-based Probabilistic Power Flowmentioning

confidence: 99%

A novel approach to account for uncertainty and correlations in probabilistic power flow

Ciapessoni

Cirio

Pitto

et al. 2014

IEEE PES Innovative Smart Grid Technologies, Europe

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Power system security assessment techniques can greatly benefit from the adoption of probabilistic approaches, as these can thoroughly describe the effect of uncertainties on the operating condition. The paper proposes a methodology to evaluate the probability of exceeding operational constraints under normal and contingency situations, accounting for uncertain, correlated power injections. In the proposed methodology, an analytical technique for probabilistic power flow is combined with copulas, the latter being introduced to deal with correlations. Copulas allow representing in an effective way the correlation information among variables, i.e. the multivariate distributions of stochastic variables. A test system based on a realistic transmission network is used to exemplify the method.

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An enhancement to cumulant-based probabilistic power flow methodologies

Cited by 7 publications

References 21 publications

A Hybrid Model for Probabilistic Analysis of Modern Power Systems with Integration of Renewable Energy Resources

A Hybrid Model for Probabilistic Analysis of Modern Power Systems with Integration of Renewable Energy Resources

Red adaptada de baja tensión para un escenario aleatorio de generación distribuida fotovoltaica en Argentina

A novel approach to account for uncertainty and correlations in probabilistic power flow

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