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Related Concept Videos

Gain01:15

Gain

Gain and phase shift are properties of linear circuits that describe the effect a circuit has on a sinusoidal input voltage or current. The circuit's behavior that contains reactive elements will depend on the frequency of the input sinusoid. As a result, it is observed that the gain and phase shift will all be frequency functions.
Gain:
Suppose Vin is the input and Vout is the output signal to a circuit.
Power in a Three-Phase Circuit01:15

Power in a Three-Phase Circuit

Three-phase systems have two configurations: the wye and delta. A star configuration can be three or four wires; in a delta configuration, the components are connected in a closed loop. Instantaneous power refers to the power value at a precise moment, and in a balanced three-phase system, it is constant. This is because the sum of the instantaneous powers in the three phases remains steady over time, despite individual fluctuations, due to the symmetry and phase relationship. The total...
Phase-lead and Phase-lag Controllers01:22

Phase-lead and Phase-lag Controllers

Understanding the working function of different types of controllers can be illustrated with practical analogies, such as adjusting a stereo's volume equalizer. Cranking up the bass involves a phase-lead controller, which functions as a high-pass filter, while increasing the treble uses a phase-lag controller, which acts as a low-pass filter. PD controllers, similar to high-pass filters, enhance the system's response to high-frequency components. PI controllers, akin to low-pass filters, manage...
Bode Plots01:26

Bode Plots

Bode plots are graphical tools that use logarithmic scales for frequency on the x-axis and gain in decibels on the y-axis. This logarithmic method allows a wide range of frequencies to be compactly displayed, enabling the analysis of component effects on circuit behavior across a broad frequency spectrum.
A network function represents the ratio of a system's output to its input, with the magnitude and phase angle derived from the complex network function. The decibel logarithmic gain is...
Reducing Line Loss01:18

Reducing Line Loss

In a three-phase circuit, line loss is an indicator of energy dissipated as heat due to the resistance of transmission lines. To address this, incorporating transformers into the system—a step-up transformer at the source and a step-down transformer at the load—is a strategic solution. Two three-phase transformers are introduced to improve this.
With a step-up transformer at the source, the voltage is increased, thereby reducing the current in the transmission lines since power loss in...
Transfer function and Bode Plots-I01:19

Transfer function and Bode Plots-I

A transfer function presented in its standard form integrates elements' constant gain, the zeros, and poles at the origin, simple zeros and poles, and quadratic poles and zeros. The transfer function can be written as H(ω):

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Related Experiment Video

Updated: Jun 21, 2026

Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques
09:01

Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques

Published on: April 4, 2017

Combined gain and phase margins.

Zhuo-Yun Nie1, Qing-Guo Wang, Min Wu

  • 1School of Information Science and Engineering, Central South University, Changsha, China.

ISA Transactions
|August 18, 2009
PubMed
Summary
This summary is machine-generated.

This study introduces combined gain and phase margins to address limitations in conventional stability margins for both stable and unstable systems. A straightforward computation method and stabilization applications are demonstrated.

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Area of Science:

  • Control Systems Engineering
  • System Stability Analysis

Background:

  • Conventional gain and phase margins have limitations in assessing system stability.
  • Separate analysis of gain and phase margins can be insufficient for complex systems.

Purpose of the Study:

  • To introduce combined gain and phase margins to overcome limitations of separate margins.
  • To provide a method for computing these margins for stable and unstable systems.
  • To demonstrate their application in system stabilization.

Main Methods:

  • Analysis of limitations in conventional gain and phase margins.
  • Development and introduction of combined gain and phase margins.
  • Presentation of a simple computation method for the combined margins.

Main Results:

  • Demonstration of the limitations of separate gain or phase margins.
  • Introduction of combined gain and phase margins effective for both stable and unstable systems.
  • A simple computational method for the new margins is presented.

Conclusions:

  • Combined gain and phase margins offer a more comprehensive approach to stability analysis.
  • The presented method is applicable to a wider range of systems, including unstable ones.
  • The utility of combined margins in system stabilization is effectively demonstrated.