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Related Concept Videos

Load-frequency control01:28

Load-frequency control

Load-frequency control (LFC) is vital for maintaining power system stability, ensuring that frequency and power flows remain within acceptable limits during load changes. Turbine-governor control eliminates rotor accelerations and decelerations following load changes. However, a steady-state frequency error persists when the change in the turbine-governor reference setting is zero. In an interconnected power system, each area agrees to export or import a scheduled amount of power through...
Turbine-Governor Control01:17

Turbine-Governor Control

Turbine-governor control is crucial for maintaining power system stability by balancing turbine mechanical power output with electrical load demand. This mechanism ensures that generator frequency and rotor speed are within acceptable limits during load variations. Turbine-generator units store kinetic energy due to their rotating masses; this energy is released to meet the load requirement when the load increases. The electrical torque of turbines rises to meet the demand, whereas the...
Control Systems: Applications01:25

Control Systems: Applications

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Feedback control systems01:26

Feedback control systems

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PID Controller01:19

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Related Experiment Video

Updated: Jun 8, 2026

Temperature-Controlled Assembly and Characterization of a Droplet Interface Bilayer
10:11

Temperature-Controlled Assembly and Characterization of a Droplet Interface Bilayer

Published on: April 19, 2021

Thermal equilibrium control by frequent bang-bang modulation.

Cheng-Xi Yang1, Xiang-Bin Wang

  • 1Department of Physics and the Key Laboratory of Atomic and Nanosciences, Ministry of Education, Tsinghua University, Beijing 100084, China.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 28, 2010
PubMed
Summary

This study explores non-Markovian heat transfer in a harmonic oscillator system. Fast modulation can temporarily reverse heat flow, challenging conventional thermodynamics and establishing novel dynamic equilibria.

Related Experiment Videos

Last Updated: Jun 8, 2026

Temperature-Controlled Assembly and Characterization of a Droplet Interface Bilayer
10:11

Temperature-Controlled Assembly and Characterization of a Droplet Interface Bilayer

Published on: April 19, 2021

Area of Science:

  • Quantum thermodynamics
  • Statistical mechanics
  • Condensed matter physics

Background:

  • Understanding heat transfer in quantum systems is crucial for developing quantum technologies.
  • Non-Markovian dynamics introduce memory effects, complicating standard thermodynamic descriptions.
  • Harmonic oscillators are fundamental models for studying quantum phenomena.

Purpose of the Study:

  • To investigate non-Markovian heat transfer between a damped harmonic oscillator and a thermal bath.
  • To analyze the effect of fast bang-bang modulation on heat flow direction and system energy.
  • To explore the establishment and characteristics of dynamic equilibrium under modulated conditions.

Main Methods:

  • Theoretical modeling of a weakly damped harmonic oscillator coupled to a thermal bath.
  • Analysis of system's mean energy evolution over time.
  • Application of fast bang-bang modulation to control heat transfer.
  • Investigation of long-time scale dynamic equilibrium.

Main Results:

  • System mean energy initially increases, then oscillates, and finally equilibrates with the bath, irrespective of initial temperature.
  • Fast modulation can temporarily invert heat flow, defying the hot-to-cold transfer principle.
  • A new dynamic equilibrium is established, where system energy can exceed or fall below the normal equilibrium value.
  • The dynamic equilibrium depends on modulation parameters and environmental characteristics.

Conclusions:

  • Non-Markovian heat transfer is controllable via external modulation, offering pathways to manipulate energy flow in quantum systems.
  • The concept of heat transfer can be extended beyond the classical hot-to-cold paradigm under specific non-Markovian conditions.
  • Dynamic equilibrium in modulated quantum systems presents opportunities for novel thermodynamic states and applications.