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Related Concept Videos

Power System Distribution01:25

Power System Distribution

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Power system distribution involves delivering electrical energy from power plants to consumers through a network of transmission and distribution systems. The process begins at power plants, where energy from coal, gas, nuclear, water, and wind is converted into electrical energy. These plants use three-phase generators, typically rated between 50 to 1300 MVA, with terminal voltages ranging from a few kV to 20 kV, depending on the size and age of the units.
The transmission system is designed...
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Distributed Loads01:19

Distributed Loads

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Distributed loads are a common type of load that engineers and scientists encounter in various practical situations. Distributed loads often refer to a type of load spread over a surface or a structure and can be modeled as continuous force per unit area.
For example, consider a bookshelf filled with books stacked vertically adjacent to each other. The weight of the books is evenly distributed over the length of the shelf. As a result, the pressure at different locations on the surface of the...
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Primary Distribution01:28

Primary Distribution

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Primary distribution systems deliver electrical power from substations to consumers through various voltage classes, with 15-kV class voltages being predominant among U.S. utilities. Older 2.5- and 5-kV classes are being replaced by 15-kV primaries, while higher 25- to 34.5-kV classes are used in high-density urban areas and rural regions with long feeders. Three-phase, four-wire multigrounded systems are widely employed for balanced power delivery, using the neutral wire as a grounding point.
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Fast Decoupled and DC Powerflow01:24

Fast Decoupled and DC Powerflow

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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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Secondary Distribution01:25

Secondary Distribution

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Secondary distribution systems provide electrical energy at the utilization voltage levels from distribution transformers to customer meters. Typical secondary voltages in the United States include 120/240 V for residential use, 208Y/120 V for residential and commercial use, and 480Y/277 V for industrial and high-rise commercial use.
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Electrical Power01:07

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Electric power is the product of current and voltage, represented in units of joules per second, or watts. For example, cars often have one or more auxiliary power outlets with which you can charge a cell phone or other electronic devices. These outlets may be rated at 20 amps and 12 volts, so that the circuit can deliver a maximum power of 240 watts. Consider a 25 Watt bulb and a 60 Watt bulb. The conversion of electrical energy produces heat and light, while the kinetic energy lost by the...
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A New Power Topp-Leone distribution with applications to engineering and industry data.

Mintodê Nicodème Atchadé1,2,3, Melchior N'bouké1, Aliou Moussa Djibril1

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A new statistical model, the New Power Topp-Leone Generated (NPTL-G) distribution, was developed. This novel distribution demonstrates superior performance compared to existing models in real-world data applications.

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Area of Science:

  • Statistics
  • Probability Distributions

Background:

  • The development of new statistical distributions is crucial for improving data modeling and analysis.
  • Existing models may not adequately capture the complexities of all real-world phenomena.

Purpose of the Study:

  • To introduce and mathematically define a novel probability distribution, the New Power Topp-Leone Generated (NPTL-G) distribution.
  • To explore the mathematical properties and potential applications of the NPTL-G distribution.

Main Methods:

  • Derivation of key mathematical functions including Rényi entropy, qf, series development, and moment weighted probabilities.
  • Estimation of model parameters using the maximum likelihood technique.
  • Validation of the proposed model using two real-world datasets.

Main Results:

  • The NPTL-G distribution was mathematically formulated with detailed derivations of its properties.
  • The maximum likelihood estimation method was successfully applied to estimate model parameters.
  • Empirical analysis showed the NPTL-G distribution outperforms three competing models.

Conclusions:

  • The NPTL-G distribution is a promising new statistical model with demonstrated advantages.
  • The model's flexibility and performance suggest broad applicability in various fields requiring statistical modeling.