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Propagation of Uncertainty from Random Error00:59

Propagation of Uncertainty from Random Error

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An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
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In the growing field of wind energy, incorporating wind turbine models into transient stability analysis is essential. Induction and synchronous machines are the primary models used, with induction machines being prevalent due to their simplicity and reliability.
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The atomic mass of an element varies due to the relative ratio of its isotopes. A sample's relative proportion of oxygen isotopes influences its average atomic mass. For instance, if we were to measure the atomic mass of oxygen from a sample, the mass would be a weighted average of the isotopic masses of oxygen in that sample. Since a single sample is not likely to perfectly reflect the true atomic mass of oxygen for all the molecules of oxygen on Earth, the mass we obtain from this...
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Generation of Three-Phase Voltage01:21

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A three-phase AC generator has a rotor with a rotating magnet placed within the stator mounted with the stationary three-phase winding to generate three-phase voltages via mutual induction. These windings are evenly distributed around the inner circumference of the stator and are arranged 120 electrical degrees apart. Three-phase stator windings consist of three separate coils or groups of coils, known as phases, each connected in Y (star) configuration or Delta configuration.
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The fast decoupled power flow method addresses contingencies in power system operations, such as generator outages or transmission line failures. This method provides quick power flow solutions, essential for real-time system adjustments. Fast decoupled power flow algorithms simplify the Jacobian matrix by neglecting certain elements, leading to two sets of decoupled equations:
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A Y-connected synchronous generator, grounded through a neutral impedance, is designed to produce balanced internal phase voltages with only positive-sequence components. The generator's sequence networks include a source voltage that is exclusively in the positive-sequence network. The sequence components of line-to-ground voltages at the generator terminals illustrate this configuration.
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A Stochastic Recurrent Encoder Decoder Network for Multistep Probabilistic Wind Power Predictions.

Zhong Zheng, Zijun Zhang

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    |April 5, 2023
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    Summary
    This summary is machine-generated.

    A novel stochastic recurrent encoder decoder neural network (SREDNN) improves multistep probabilistic wind power predictions by incorporating latent random variables. This advanced model enhances prediction accuracy and interval reliability for wind energy forecasting.

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    Area of Science:

    • Renewable Energy Systems
    • Artificial Intelligence
    • Statistical Modeling

    Background:

    • Accurate wind power prediction is crucial for grid stability and energy management.
    • Traditional methods struggle with the inherent uncertainty and complex patterns in wind energy generation.

    Purpose of the Study:

    • To introduce a novel stochastic recurrent encoder decoder neural network (SREDNN) for generative multistep probabilistic wind power predictions (MPWPPs).
    • To enhance MPWPPs by integrating exogenous covariates and latent random variables within an encoder-decoder framework.

    Main Methods:

    • Developed a SREDNN incorporating latent random variables in recurrent structures.
    • Utilized an encoder-decoder framework with five components: prior, inference, generative, encoder recurrent, and decoder recurrent networks.
    • Integrated latent variables to build an infinite Gaussian mixture model (IGMM) for the observation model and employed stochastic hidden state updates.

    Main Results:

    • The SREDNN demonstrated superior performance in MPWPP compared to conventional RNN-based methods.
    • Achieved a lower negative continuously ranked probability score (CRPS*), indicating improved prediction accuracy.
    • Showcased superior sharpness and comparable reliability in prediction intervals.

    Conclusions:

    • The SREDNN effectively models complex patterns in wind speed and power sequences by leveraging latent random variables.
    • The integration of latent random variables significantly enhances the expressiveness of wind power distribution models.
    • The developed SREDNN offers a powerful and effective approach for advanced wind power forecasting.