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Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
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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...
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Accurate signal sampling and reconstruction are crucial in various signal-processing applications. A time-domain signal's spectrum can be revealed using its Fourier transform. When this signal is sampled at a specific frequency, it results in multiple scaled replicas of the original spectrum in the frequency domain. The spacing of these replicas is determined by the sampling frequency.
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Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
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Linien: A versatile, user-friendly, open-source FPGA-based tool for frequency stabilization and spectroscopy

B Wiegand1, B Leykauf1, R Jördens2

  • 1Institut für Physik, Humboldt-Universität zu Berlin, 12489 Berlin, Germany.

The Review of Scientific Instruments
|July 1, 2022
PubMed
Summary
This summary is machine-generated.

We developed Linien, a versatile software tool for precise laser frequency stabilization and spectroscopy locking. It uses machine learning for autonomous optimization and offers both graphical and Python interfaces for broad accessibility.

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Area of Science:

  • Physics
  • Engineering
  • Computer Science

Background:

  • Laser frequency stabilization is crucial for high-resolution spectroscopy.
  • Existing methods can be complex and require manual tuning.
  • A need exists for user-friendly, automated solutions.

Purpose of the Study:

  • To introduce Linien, a versatile software tool for laser frequency stabilization.
  • To provide a user-friendly platform for spectroscopy locking and general lock-in techniques.
  • To enable autonomous optimization of spectroscopy parameters using machine learning.

Main Methods:

  • The Linien software utilizes sinusoidal modulation (up to 50 MHz) and triangular ramp scanning.
  • It incorporates in-phase and quadrature demodulation (1-5 f), infinite impulse response, and PID filtering.
  • Two automatic lock point selection algorithms are implemented, with one leveraging field-programmable gate arrays for time-critical tasks.

Main Results:

  • Linien demonstrates capability in spectroscopy locking and proportional-integral-derivative (PID) operation.
  • Machine learning enables autonomous optimization of spectroscopy parameters.
  • The software measures the error signal's power spectral density.

Conclusions:

  • Linien offers a user-friendly and versatile solution for laser frequency stabilization.
  • Its modular design, with graphical and Python interfaces, enhances accessibility.
  • The software, based on the RedPitaya STEMLab platform, is adaptable to different systems.