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Related Concept Videos

The Power Flow Problem and Solution01:26

The Power Flow Problem and Solution

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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...
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The Swing Equation01:21

The Swing Equation

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The Swing Equation is a fundamental tool in power system dynamics, especially for analyzing the behavior of generating units like three-phase synchronous generators. This equation emerges from applying Newton's second law to the rotor of a generator, encompassing factors such as inertia, angular acceleration, and the interplay between mechanical and electrical torques.
In a steady-state operation, the mechanical torque (Τm) supplied to the generator is balanced by the electrical torque...
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Electrical Energy01:10

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Using electric appliances for a longer period of time consumes more electrical energy and results in a higher electric bill. The energy produced by the transfer of electrons from one point to another is known as electrical energy. If power is delivered at a constant rate, the electrical energy can be defined as the product of power used by the device for a period of time. The energy unit on electric bills is the kilowatt-hour, where one kilowatt-hour is equivalent to 3.6 × 106 joules.
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Multimachine Stability01:25

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Multimachine stability analysis is crucial for understanding the dynamics and stability of power systems with multiple synchronous machines. The objective is to solve the swing equations for a network of M machines connected to an N-bus power system.
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Econometric Views (EViews)01:29

Econometric Views (EViews)

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Econometric Views, often stylized as EViews, is a package that merges statistical analysis with econometric studies. It is designed to provide tools for time series analysis, forecasting, and econometric model simulation. The software originated from MicroTSP software and has evolved significantly since its inception in 1981. The history of EViews is marked by a continuous effort to enhance its computational speed and user interface. It was initially developed for large computing systems but...
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Maximum Power Flow and Line Loadability01:23

Maximum Power Flow and Line Loadability

247
The maximum power flow for lossy transmission lines is derived using ABCD parameters in phasor form. These parameters create a matrix relationship between the sending-end and receiving-end voltages and currents, allowing the determination of the receiving-end current. This relationship facilitates calculating the complex power delivered to the receiving end, from which real and reactive power components are derived.
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Related Experiment Video

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Experimental Investigation of the Hierarchical Control in DC Microgrids Using a Real-time Simulator
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An econometric model for intraday electricity trading.

Marcel Kremer1, Rüdiger Kiesel1,2, Florentina Paraschiv3,4

  • 1Chair for Energy Trading and Finance, University of Duisburg-Essen, Universitätsstraße 12, 45141 Essen, Germany.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|June 7, 2021
PubMed
Summary

This study models electricity prices for 15-minute contracts, finding mean reversion and that price information drives trading more than renewable forecasts. Renewable forecast impacts are asymmetric based on merit order curve slope.

Keywords:
15-min contractseconometric modellingintraday electricity marketmerit order curverenewable power forecaststhreshold regression

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Area of Science:

  • Econometrics
  • Energy Economics
  • Computational Finance

Background:

  • Intraday electricity markets are crucial for grid stability and balancing supply and demand.
  • Accurate price modeling is essential for effective trading and risk management.
  • The increasing penetration of renewable energy sources introduces volatility and complexity into electricity markets.

Purpose of the Study:

  • To develop an econometric price model for 15-minute intraday electricity contracts.
  • To analyze the impact of renewable energy generation forecasts on intraday electricity prices.
  • To investigate the role of the merit order curve slope in price formation.

Main Methods:

  • Development of a threshold regression model.
  • Analysis of a unique dataset of intradaily updated renewable power generation forecasts.
  • Estimation of price dynamics for 15-minute electricity contracts.

Main Results:

  • Strong evidence of mean reversion in the price formation of 15-minute contracts.
  • Prices of neighboring contracts significantly explain the price of a given contract.
  • Asymmetric impact of renewable forecast changes on intraday prices, dependent on the merit order curve slope.
  • Renewable forecasts have greater explanatory power at noon compared to morning and evening.

Conclusions:

  • Price information is the primary driver of 15-minute intraday trading.
  • The developed econometric model provides fundamental insights into electricity market price dynamics.
  • Understanding the asymmetric effects of renewable forecasts is key for market participants.