A new method for performing probabilistic production simulations by means of moments and Legendre series

Jorgensen, P.

doi:10.1109/59.76699

Cited by 19 publications

(4 citation statements)

References 11 publications

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“…Finally, approximation expansions estimate the probability functions of random outputs (e.g. Legendre series ). Consequently, another key point of PV modelling for probabilistic HLF studies is a harmonic probabilistic PV model.…”

Section: Power System Harmonic Analysismentioning

confidence: 99%

“…For an optimal performance, it is best to take advantage of knowledge of the minimum and maximum values. This is accomplished by using the Legendre series , which is for a finite interval 0 ≤ t ≤ 1. Although the Legendre series is a polynomial, the calculation of the resulting polynomial will generally not have the same form as when a curve‐fitting technique is used.…”

Section: Theoretical Backgroundmentioning

confidence: 99%

“…Approximation expansions can estimate the probability functions of random inputs and outputs (e.g. the Cornish–Fisher expansion or the Legendre series ).…”

Section: Introductionmentioning

confidence: 99%

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Harmonic modelling of PV systems for probabilistic harmonic load flow studies

Ruíz-Rodríguez

Hernández

Jurado

2014

Circuit Theory & Apps

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Summary Probabilistic harmonic load flow (HLF) is currently enjoying renewed popularity. This is not surprising since in the near future, thousands of photovoltaic (PV) systems will be integrated into distribution systems. However, as yet, there is no model capable of explaining PV harmonic current behaviour in probabilistic HLF studies. To fill this gap, the harmonic modelling of PV systems proposed in this paper has three key points. First, it provides an effective model of the relationship between PV harmonic current emission and background harmonic voltages. Second, it statistically characterises PV harmonic currents (relative magnitude and phase angle) at different fundamental‐frequency current output intervals using historical time‐series data. In this statistical characterisation, the first fifth moments of each PV harmonic current are used to accurately approximate the raw probability density function (PDF) by means of the Legendre series. Finally, the third key point of this harmonic modelling is a method capable of determining the distribution functions of PV harmonic currents (absolute magnitude and phase angle), based on the statistical characterisation and a fundamental‐frequency probabilistic PV model. The numerical results obtained confirm the effectiveness of this PV model. Copyright © 2014 John Wiley & Sons, Ltd.

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Section: Power System Harmonic Analysismentioning

confidence: 99%

Section: Theoretical Backgroundmentioning

confidence: 99%

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Harmonic modelling of PV systems for probabilistic harmonic load flow studies

Ruíz-Rodríguez

Hernández

Jurado

2014

Circuit Theory & Apps

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“…In addition, reference [15] proposed a distribution network reliability evaluation method based on a fault correlation matrix by calculating reliability indicators; reference [16] recursively calculated reliability indicators from upstream to downstream using algebraic equations, providing a new approach for evaluating reliability through algebraic operations; reference [17] obtained the failure mode consequence analysis matrix through topology identification and matrix operation, thereby calculating the reliability index. In order to simulate different operating modes, the Monte Carlo simulation method is widely applied to complex distribution networks [18][19][20]. The simulation method has been widely used in flexible simulation of switch actions [21], islanding operation [22], and selfhealing recovery [23].…”

Section: Introductionmentioning

confidence: 99%

Reliability Evaluation of Cabled Active Distribution Network Considering Multiple Devices—A Generalized MILP Model

Zhang,

Wang,

et al. 2023

Processes

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With the rapid development of power electronic equipment, the automation and intelligence level of active distribution networks (ADNs) continues to improve. Against this background, soft open points (SOPs) are gradually replacing traditional segmented switches and interconnection switches. The voltage support capability and fast response characteristics of SOPs can shorten power outage time and expand load recovery range. However, the widespread integration of distributed renewable energy and new power electronic devices has made the fault characteristics of ADNs more complex, significantly increasing the computational complexity of ADN reliability assessment. At present, there are few studies that comprehensively consider ADNs with multiple devices. Therefore, this paper proposes a reliability evaluation method for ADNs that considers multiple devices. Firstly, the impact of circuit breakers, SOPs, and segmented switches on the load recovery process is analyzed. Secondly, an improved virtual fault flow model based on the action mechanisms of circuit breakers, SOPs, and segmented switches is established. The virtual fault flow is represented by logical variables to simulate post fault network reconstruction strategies that include circuit breaker tripping, SOP power supply recovery, and segmented switch isolation actions. Then, with the goal of minimizing the system average outage time after network reconstruction, a generalized mixed integer linear programming (MILP) model is given. Finally, taking the IEEE 33-node testing system as a case, the effectiveness and feasibility of the proposed method are demonstrated.

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2018

Electric Power Grid Reliability Evaluation

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A new method for performing probabilistic production simulations by means of moments and Legendre series

Cited by 19 publications

References 11 publications

Harmonic modelling of PV systems for probabilistic harmonic load flow studies

Harmonic modelling of PV systems for probabilistic harmonic load flow studies

Reliability Evaluation of Cabled Active Distribution Network Considering Multiple Devices—A Generalized MILP Model

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