A MATLAB graphical user interface for nonintrusive polynomial chaos theory

Togawa, Kanali; Benigni, Andrea; Monti, Antonello

doi:10.1109/compeng.2012.6242955

Cited by 3 publications

(3 citation statements)

References 5 publications

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“…In Section IV the comparison between these two approaches is carried out through numerical tests. In [14], NIPC_Tool has been successfully integrated with SimulationX. Referring to the methodology proposed in this paper, RTDS can be regarded as the specific black-box.…”

Section: Methodology For Rtds Simulation With Pctmentioning

confidence: 98%

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Application of non-intrusive polynomial chaos theory to real time simulation

Tang

Togawa

et al. 2013

2013 IEEE Grenoble Conference

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Simulation tools play a critical role in the design and test of power systems. In particular, real time simulation is now reliable and constitutes the basis for Hardware in the Loop and Power hardware in the Loop testing techniques. The application of real time simulation and related techniques to power systems is made particularly challenging as it should cover the analysis of stochastic behaviors. In fact, numerous and volatile distributed generation (DG), and end users' dual load-generator behavior are introducing more uncertainties to the conventional power systems. Therefore, it is necessary to consider the uncertainty into the process of real time simulation as well. Methods that require many repetitions, like Monte Carlo, may not be applicable, particularly in Hardware in the Loop experiments with intrinsically long duration, e.g. those involving thermal systems. As a first step, this paper proposes to address this issue combining non-intrusive polynomial chaos theory (NIPCT) with real time simulation. The main goal is to reduce the number of test scenarios, and correspondingly the run-time. The implementation of this approach based on Real Time Digital Simulator (RTDS) and a MATLAB toolbox (NIPC_Tool) is introduced. The method is then demonstrated on a 5-bus system and results are compared with the Monte Carlo approach.

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Section: Methodology For Rtds Simulation With Pctmentioning

confidence: 98%

“…NIPC_Tool [14], an uncertainty quantification GUI in MATLAB, has been developed in house. The simulator is regarded as a black-box by the NIPC_Tool.…”

Section: B Uncertainty Analysis Toolbox--nipc_toolmentioning

confidence: 99%

Application of non-intrusive polynomial chaos theory to real time simulation

Tang

Togawa

et al. 2013

2013 IEEE Grenoble Conference

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“…This article includes a tool that has been developed to be used especially in post‐graduate engineering studies and security analyses of multimedia data with chaos‐based encryption. Though there are numerous interface studies developed for different purposes previously , there has never been such a comprehensive chaos‐based interface study on encryption. With the interface study covered in this article, multimedia data such as image, audio, and text can be encrypted with many different chaotic maps and security analyses can be performed easily.…”

Section: Introductionmentioning

confidence: 99%

Chaos‐based encryption of multimedia data and design of security analysis interface as an educational tool

Akgül

Kaçar

Pehlivan

et al. 2018

Comp Applic In Engineering

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Data encryption has always been a topical subject. There are many encryption methods in the literature. Chaos‐based encryption is considered a different area of study among the encryption practices. In this study, a novel interface was designed for chaos‐based encryption to be used as an educational tool in cryptology. With this interface, the chaos‐based encryption of multimedia data (picture, audio, text) can be done with one, two, or three dimensional discrete‐time chaotic maps. Also, the reliability of every encryption method must be checked via certain security analyses. Thus, five different security analyses (information entropy, correlation, speed effect, differential attack, and histogram analysis), where applicable, were added into the interface to perform security analyses of chaos‐based encrypted data. In this way, the chaotic encryption and security analyses, both of which need high level programming knowledge, have become available in a compact way, for those who are interested in this subject but are not knowledgeable enough about programming, hence the interface can be used as an educational tool in chaos or encryption studies.

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A direct and analytical method for inverse problems under uncertainty in energy system design: combining inverse simulation and Polynomial Chaos theory

Schwarz,

Carta,

Monti

et al. 2024

Energy Inform

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This article introduces and formalizes a novel stochastic method that combines inverse simulation with the theory of generalized Polynomial Chaos (gPC) to solve and study inverse problems under uncertainty in energy system design applications. The method is particularly relevant to design tasks where only a deterministic forward model of a physical system is available, in which a target design quantity is an input to the model that cannot be obtained directly, but can be quantified reversely via the outputs of the model. In this scenario, the proposed method offers an analytical and direct approach to invert such system models. The method puts emphasis on user-friendliness, as it enables its users to conduct the inverse simulation under uncertainty directly in the gPC domain by redefining basic algebra operations for computations. Moreover, the method incorporates an optimization-based approach to integrate supplementary constraints on stochastic quantities. This feature enables the solution of inverse problems bounding the statistical moments of stochastic system variables. The authors exemplify the application of the proposed method with proof-of-concept tests in energy system design, specifically performing uncertainty quantification and sensitivity analysis for a Multi-Energy System (MES). The findings demonstrate the high accuracy of the method as well as clear advantages over conventional sampling-based methods when dealing with a small number of stochastic variables in a system or model. However, the case studies also highlight the current limitations of the proposed method such as slow execution speed due to the optimization-based approach and the challenges associated with, for example, the curse of dimensionality in gPC.

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A MATLAB graphical user interface for nonintrusive polynomial chaos theory

Cited by 3 publications

References 5 publications

Application of non-intrusive polynomial chaos theory to real time simulation

Application of non-intrusive polynomial chaos theory to real time simulation

Chaos‐based encryption of multimedia data and design of security analysis interface as an educational tool

A direct and analytical method for inverse problems under uncertainty in energy system design: combining inverse simulation and Polynomial Chaos theory

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