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Related Concept Videos

Primary Distribution01:28

Primary Distribution

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.
Multi-input and Multi-variable systems01:22

Multi-input and Multi-variable systems

Cruise control systems in cars are designed as multi-input systems to maintain a driver's desired speed while compensating for external disturbances such as changes in terrain. The block diagram for a cruise control system typically includes two main inputs: the desired speed set by the driver and any external disturbances, such as the incline of the road. By adjusting the engine throttle, the system maintains the vehicle's speed as close to the desired value as possible.
In the absence of...
Secondary Distribution01:25

Secondary Distribution

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.
In residential areas, 120/240 V single-phase, three-wire service is commonly used for lighting, outlets, and large appliances. Urban areas with high-density loads...
State Space Representation01:27

State Space Representation

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...
Transformers in Distribution System01:27

Transformers in Distribution System

Transformers in distribution systems can be broadly categorized into distribution substation transformers and other distribution transformers. They are crucial for stepping down high transmission voltages to levels suitable for distribution and end-user applications.
Distribution substation transformers come in various ratings and typically use mineral oil for insulation and cooling. To prevent moisture and air from entering the oil, some transformers use an inert gas like nitrogen to fill the...
Power System Distribution01:25

Power System Distribution

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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Related Experiment Videos

Switching-path distribution in multidimensional systems.

H B Chan1, M I Dykman, C Stambaugh

  • 1Department of Physics, University of Florida, Gainesville, Florida 32611, USA. hochan@phys.ufl.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 31, 2008
PubMed
Summary
This summary is machine-generated.

Researchers characterized paths in fluctuation-induced switching between stable states. This work demonstrates a new method for analyzing system dynamics and controlling switching probabilities in non-equilibrium systems.

Related Experiment Videos

Area of Science:

  • Nonlinear dynamics
  • Statistical physics
  • Complex systems

Background:

  • Systems with multiple stable states are common in nature.
  • Understanding transitions between these states is crucial for many scientific fields.
  • Fluctuation-induced switching is a key phenomenon in non-equilibrium systems.

Purpose of the Study:

  • To develop a quantitative method for characterizing path distributions in phase space during fluctuation-induced switching.
  • To experimentally validate the developed theory using a micromechanical oscillator.
  • To investigate the time-reversal symmetry of switching dynamics in systems far from thermal equilibrium.

Main Methods:

  • Theoretical development of a path distribution characteristic.
  • Experimental implementation using a micromechanical oscillator driven into parametric resonance.
  • Direct measurement of path distributions in phase space.

Main Results:

  • Excellent agreement between theoretical predictions and experimental measurements of path distribution shape and position, with no adjustable parameters.
  • First experimental demonstration of the lack of time-reversal symmetry in switching dynamics for systems far from thermal equilibrium.
  • Identification of a narrow path distribution amenable to control.

Conclusions:

  • The developed method provides a powerful tool for analyzing complex system dynamics.
  • The findings offer new possibilities for controlling switching probabilities in non-equilibrium systems.
  • This research advances the understanding of fundamental processes in statistical physics and nonlinear dynamics.