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Related Concept Videos

State Space Representation01:27

State Space Representation

166
The frequency-domain technique, commonly used in analyzing and designing feedback control systems, is effective for linear, time-invariant systems. However, it falls short when dealing with nonlinear, time-varying, and multiple-input multiple-output systems. The time-domain or state-space approach addresses these limitations by utilizing state variables to construct simultaneous, first-order differential equations, known as state equations, for an nth-order system.
Consider an RLC circuit, a...
166
Transfer Function to State Space01:23

Transfer Function to State Space

197
State-space representation is a powerful tool for simulating physical systems on digital computers, necessitating the conversion of the transfer function into state-space form. Consider an nth-order linear differential equation with constant coefficients, like those encountered in an RLC circuit. The state variables are selected as the output and its n−1 derivatives. Differentiating these variables and substituting them back into the original equation produces the state equations.
In an...
197
The Power Flow Problem and Solution01:26

The Power Flow Problem and Solution

176
Power flow problem analysis is fundamental for determining real and reactive power flows in network components, such as transmission lines, transformers, and loads. The power system's single-line diagram provides data on the bus, transmission line, and transformer. Each bus k in the system is characterized by four key variables: voltage magnitude Vk​, phase angle δk​, real power Pk​, and reactive power Qk​. Two of these four variables are inputs, while the...
176
Fast Decoupled and DC Powerflow01:24

Fast Decoupled and DC Powerflow

176
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:
176
State Space to Transfer Function01:21

State Space to Transfer Function

175
The conversion of state-space representation to a transfer function is a fundamental process in system analysis. It provides a method for transitioning from a time-domain description to a frequency-domain representation, which is crucial for simplifying the analysis and design of control systems.
The transformation process begins with the state-space representation, characterized by the state equation and the output equation. These equations are typically represented as:
175
Simplified Synchronous Machine Model01:30

Simplified Synchronous Machine Model

186
The Synchronous Machine Model is a fundamental tool in analyzing and ensuring the transient stability of power systems. This model simplifies the representation of a synchronous machine under balanced three-phase positive-sequence conditions, assuming constant excitation and ignoring losses and saturation. The model is pivotal for understanding the behavior of synchronous generators connected to a power grid, particularly during transient events.
In this model, each generator is connected to a...
186

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Related Experiment Video

Updated: Jun 9, 2025

A Method of Trigonometric Modelling of Seasonal Variation Demonstrated with Multiple Sclerosis Relapse Data
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Efficient Method for Photovoltaic Power Generation Forecasting Based on State Space Modeling and BiTCN.

Guowei Dai1,2, Shuai Luo1,2, Hu Chen1,2

  • 1College of Computer Science, Sichuan University, Chengdu 610065, China.

Sensors (Basel, Switzerland)
|October 26, 2024
PubMed
Summary

Accurate photovoltaic power forecasting is crucial for renewable energy management. This study introduces an optimal hybrid model combining BiTCN, DC, BiLSTM, and a novel Mixed-SSM, achieving high prediction accuracy and supporting grid stability.

Keywords:
deep learningintelligent fusionphotovoltaic power forecastingstate space modeltime series prediction

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Area of Science:

  • Renewable Energy Systems
  • Artificial Intelligence in Energy
  • Meteorological Forecasting

Background:

  • Photovoltaic (PV) power generation is vital for global carbon reduction and the new energy sector.
  • Accurate PV output forecasting is essential for efficient energy management due to meteorological influences.

Purpose of the Study:

  • To develop an optimal hybrid forecasting strategy for PV power generation.
  • To enhance prediction accuracy by integrating advanced deep learning and statistical models.
  • To improve the correlation coefficient (R²) and reduce forecasting errors.

Main Methods:

  • Integration of bidirectional temporal convolutional networks (BiTCN), dynamic convolution (DC), and bidirectional long short-term memory networks (BiLSTM).
  • Development of a novel mixed-state space model (Mixed-SSM) combining SSM, MLP, and MHSA for temporal, nonlinear, and long-term feature capture.
  • Application of Pearson and Spearman correlation analyses for feature selection and K-Means++ for data enhancement.

Main Results:

  • Feature selection improved the prediction correlation coefficient (R²) by at least 0.87%.
  • K-Means++ enhanced input data features, achieving a maximum R² of 86.9% and a 6.62% R² gain.
  • The proposed hybrid model achieved a mean absolute error (MAE) of 1.1%, root mean squared error (RMSE) of 1.2%, and an R² of 89.1%.

Conclusions:

  • The proposed hybrid forecasting strategy demonstrates superior performance compared to existing BiTCN variants.
  • The model effectively forecasts PV power output, contributing to efficient energy management.
  • This approach supports low-carbon, safe grid operation through accurate renewable energy predictions.