Determination of probabilistic descriptions and stochastic processes of changes loads

Malysheva, Nadezhda N.; Pavlov, A. A.

doi:10.1109/dynamics.2016.7819045

Cited by 2 publications

(3 citation statements)

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“…Let us consider a probabilistic model of load variation [11][12]. The normal distribution law of the process I(t) is characterized by the mean I c and the standard deviation σ I .…”

Section: A Heat Modelmentioning

confidence: 99%

“…An exponential-cosine CF is used in [12][13]: Figure 1. A stationary stochastic process ) (t I * is an input to the model.…”

Section: A Heat Modelmentioning

confidence: 99%

“…The evaluation by formulas (12) gives the exact value equal to 3.841 pu The maximum and minimum ratio errors for the single realization rated maxima z M were −5.94% and 5.29%. The ratio error for the ensemble was 0.104%.…”

mentioning

confidence: 99%

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The simulation solution of nonlinear problems of ergodic electric-power processes transformation

Bulgakov

2017

MATEC Web Conf.

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Abstract. The algorithm for the simulation solution of the stochastic electric-power processes problems (quadratic inertial smoothing (QIS) and quadratic cumulative averaging (QCA)) has been stated. It includes simulation of initial process realizations, transformation of realizations and ensemble statistical analysis of these processes, as well as simulation quality check by the test problems. Peculiarities of skewness, kurtosis and rated maxima (quantiles) calculations based on the ensemble of the stochastic ergodic process realizations have been considered. Density and cumulative distribution function of the quadratic stochastic processes with normal distribution have been analyzed. Ensemble and single realization errors for rated maxima have been evaluated. It has been proposed to use test check with distribution quantiles when searching for simulation solution of QIS on the stage of quadratic transformation. Approximation of rated maxima using the gamma distribution law is given.

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“…Let us consider a probabilistic model of load variation [11][12]. The normal distribution law of the process I(t) is characterized by the mean I c and the standard deviation σ I .…”

Section: A Heat Modelmentioning

confidence: 99%

“…An exponential-cosine CF is used in [12][13]: Figure 1. A stationary stochastic process ) (t I * is an input to the model.…”

Section: A Heat Modelmentioning

confidence: 99%