Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Phasor Relationships for Circuit Elements01:16

Phasor Relationships for Circuit Elements

919
Phasor representation is a powerful tool used to transform the voltage-current relationship for resistors, inductors, and capacitors from the time domain to the frequency domain. This transformation simplifies the analysis of alternating current (AC) circuits.
In the time domain, Ohm's law provides a fundamental relation between the current flowing through a resistor and the voltage across it:
919
Routh-Hurwitz Criterion I01:15

Routh-Hurwitz Criterion I

485
Consider an electrical power grid, where stability is essential to prevent blackouts. The Routh-Hurwitz criterion is a valuable tool for assessing system stability under varying load conditions or faults. By analyzing the closed-loop transfer function, the Routh-Hurwitz criterion helps determine whether the system remains stable.
To apply the Routh-Hurwitz criterion, a Routh table is constructed. The table's rows are labeled with powers of the complex frequency variable s, starting from the...
485
Phasor Arithmetics01:13

Phasor Arithmetics

674
Phasors and their corresponding sinusoids are interrelated, offering unique insights into the behavior of alternating current (AC) circuits. One way to understand this relationship is through the operations of differentiation and integration in both the time and phasor domains.
When the derivative of a sinusoid is taken in the time domain, it transforms into its corresponding phasor multiplied by j-omega (jω) in the phasor domain, where j is the imaginary unit, and ω is the angular...
674
Phasors01:12

Phasors

1.0K
Phasors are a powerful mathematical tool used to analyze alternating current (AC) circuits. They provide a complex number representation of sinusoids, with the magnitude of the phasor equating to the amplitude of the sinusoid and the angle of the phasor representing the phase measured from the positive x-axis.
One of the significant benefits of using phasors is that they simplify the analysis of AC circuits by eliminating the time dependence of the current and voltage. This transformation...
1.0K
Kirchoff's Laws using Phasors01:12

Kirchoff's Laws using Phasors

740
Analyzing AC circuits in electrical systems is a fundamental aspect of electrical engineering. In these circuits, AC power is supplied from a distribution panel and wired to various household appliances in parallel. To perform a comprehensive analysis, electrical engineers use Kirchhoff's voltage and current laws, which are equally applicable in AC circuits as in DC circuits.
Kirchhoff's voltage law (KVL) states that the sum of phasor voltages around a closed loop in an AC circuit equals zero....
740
Radial System Protection01:23

Radial System Protection

390
Radial systems employ time-delay overcurrent relays to reduce load interruptions. When a fault occurs, the nearest breaker opens first, while upstream breakers remain closed due to longer delay settings. This approach ensures minimal disruption to the rest of the system.
In a radial system with a fault downstream of the third breaker, ideally, only the third breaker will open, isolating the fault and interrupting the load connected beyond it. The second breaker has a longer delay setting,...
390

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

A review on control and fault-tolerant control systems of AC/DC microgrids.

Heliyon·2020
Same author

A novel strategy for dynamic identification in AC/DC microgrids based on ARX and Petri Nets.

Heliyon·2020
Same author

Hybrid AC/DC microgrid test system simulation: grid-connected mode.

Heliyon·2019
Same author

The impact of PKR activation: from neurodegeneration to cancer.

FASEB journal : official publication of the Federation of American Societies for Experimental Biology·2014

Related Experiment Video

Updated: Jan 1, 2026

The Measurement of Unsteady Surface Pressure Using a Remote Microphone Probe
08:53

The Measurement of Unsteady Surface Pressure Using a Remote Microphone Probe

Published on: December 3, 2016

7.3K

Radial basis function for fast voltage stability assessment using Phasor Measurement Units.

Jorge W Gonzalez1, Idi A Isaac1, Gabriel J Lopez1

  • 1Universidad Pontificia Bolivariana - Medellin, Antioquia, Colombia.

Heliyon
|December 17, 2019
PubMed
Summary
This summary is machine-generated.

This study introduces a machine learning method using Radial Basis Functions (RBF) for fast voltage stability margin estimation in power systems. Optimized Phasor Measurement Unit (PMU) placement is key for accurate and efficient online power system monitoring.

Keywords:
Electric power transmissionElectrical engineeringElectrical system planningMachine learningPhasor Measurement UnitsPower engineeringPower system operationPower system planningPower system stabilityRadial basis function networksVoltage measurement

More Related Videos

Real-Time Cardiac Mapping with a Noninvasive Imageless Electrocardiographic Imaging System
10:17

Real-Time Cardiac Mapping with a Noninvasive Imageless Electrocardiographic Imaging System

Published on: April 11, 2025

1.5K
Experimental Methods to Study Human Postural Control
08:12

Experimental Methods to Study Human Postural Control

Published on: September 11, 2019

10.0K

Related Experiment Videos

Last Updated: Jan 1, 2026

The Measurement of Unsteady Surface Pressure Using a Remote Microphone Probe
08:53

The Measurement of Unsteady Surface Pressure Using a Remote Microphone Probe

Published on: December 3, 2016

7.3K
Real-Time Cardiac Mapping with a Noninvasive Imageless Electrocardiographic Imaging System
10:17

Real-Time Cardiac Mapping with a Noninvasive Imageless Electrocardiographic Imaging System

Published on: April 11, 2025

1.5K
Experimental Methods to Study Human Postural Control
08:12

Experimental Methods to Study Human Postural Control

Published on: September 11, 2019

10.0K

Area of Science:

  • Electrical Engineering
  • Computational Intelligence
  • Power Systems Analysis

Background:

  • Voltage stability is crucial for reliable power system operation.
  • Accurate and fast estimation of voltage stability margins is essential for online monitoring and control.
  • Traditional methods can be computationally intensive for real-time applications.

Purpose of the Study:

  • To develop a computationally efficient method for estimating voltage stability margins.
  • To leverage machine learning, specifically Radial Basis Functions (RBF), for this estimation.
  • To investigate the impact of Phasor Measurement Unit (PMU) placement on estimation accuracy and efficiency.

Main Methods:

  • A machine learning approach using Radial Basis Functions (RBF) is proposed.
  • Input features include bus voltage phasor magnitudes and angles.
  • An observability optimization technique is employed for strategic PMU placement.
  • The RBF model is trained using data from PMUs.

Main Results:

  • The RBF method enables fast calculation of voltage stability margins.
  • The method accurately estimates active local and global power margins under normal and contingency conditions.
  • Optimized PMU location, rather than quantity, is critical for training efficiency and convergence.
  • The RBF model demonstrates effective learning from PMU data.

Conclusions:

  • The proposed RBF-based method offers a viable solution for fast online voltage stability margin estimation.
  • Strategic PMU placement is more impactful than the number of PMUs for successful implementation.
  • This approach enhances the capability of power systems for real-time stability assessment.