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

Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

125
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.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
125
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

101
Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
101
Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

135
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.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
135
Parameters Affecting Nonlinear Elimination: Zero-Order Input, First-Order Absorption and Two-Compartment Model01:13

Parameters Affecting Nonlinear Elimination: Zero-Order Input, First-Order Absorption and Two-Compartment Model

126
Drugs administered through various routes can lead to nonlinear elimination, resulting in complex pharmacokinetic behaviors crucial to understanding efficacious drug dosing.
When a drug is administered through a constant intravenous infusion and eliminated via nonlinear pharmacokinetics, it follows zero-order input. For example, oral drugs undergo first-order absorption upon administration and are eliminated through nonlinear pharmacokinetics.
In the case of subcutaneously administered drugs,...
126
Linear time-invariant Systems01:23

Linear time-invariant Systems

428
A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
428
One-Degree-of-Freedom System01:24

One-Degree-of-Freedom System

557
In mechanical engineering, one-degree-of-freedom systems form the basis of a wide range of electrical and mechanical components. Using these models, engineers can predict the behavior of various parts in a larger system, which gives them insight into how different forces interact with each other.
A one-degree-of-freedom system is defined by an independent variable that determines its state and behavior. One example of a one-degree-of-freedom system is a simple harmonic oscillator, such as a...
557

You might also read

Related Articles

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

Sort by
Same author

Dispersion compensation of four-channel high-speed IMDD data using slow-light in a silicon nitride chip.

Optics express·2026
Same author

Digital quantitative analysis of biomechanical factors of proximal contact loss of first molar implant crown.

BMC oral health·2026
Same author

A Nomogram Predicting the Response to Tocilizumab in Treating Active, Moderate-To-Severe, Glucocorticoid-Resistant Thyroid Eye Disease: A Multicenter Retrospective Study.

Seminars in ophthalmology·2026
Same author

Triboelectric Spectroscopy for In Situ Detection of Gas Molecules in Liquid.

ACS nano·2026
Same author

Characterization of antimicrobial resistance and virulence traits of clinical <i>Pseudomonas mosselii</i> isolates with reduced meropenem susceptibility and preserved imipenem susceptibility.

Microbiology spectrum·2026
Same author

Rapid visual detection of Mycoplasma gallisepticum by combining recombinase-aided amplification with lateral-flow dipstick assay.

Poultry science·2026
Same journal

MT-MRI for detection of renal interstitial fibrosis in renovascular disease.

Scientific reports·2026
Same journal

Detection of underground objects from GPR data using a lightweight YOLO-based approach.

Scientific reports·2026
Same journal

Early systemic inflammatory-metabolic trajectory phenotypes are associated with survival outcomes in metastatic renal cell carcinoma treated with nivolumab.

Scientific reports·2026
Same journal

Water balance components in a dry-seeded rice-wheat system: Untangling the effects of tillage and mulching practices.

Scientific reports·2026
Same journal

Topological approaches to quantum tensor train compression via ZX-calculus and SVD.

Scientific reports·2026
Same journal

determinants of flood impacts and adaptive capacity among market vendors in Walukuba-Masese, Jinja city, Uganda.

Scientific reports·2026
See all related articles

Related Experiment Video

Updated: Sep 13, 2025

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator
06:45

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator

Published on: October 28, 2022

1.8K

Linearization method for MINLP energy optimization problems.

Anastasiia Zhadan1, Alexey Martemyanov1, Alexander Allahverdyan1

  • 1St.Petersburg State University, 7/9 Universitetskaya nab., Saint Petersburg, Russia, 199034.

Scientific Reports
|July 30, 2025
PubMed
Summary
This summary is machine-generated.

This study introduces linearization techniques to improve battery energy storage system (BESS) scheduling accuracy by addressing non-linear equipment efficiencies. The methods reduce operational errors in distributed energy systems.

More Related Videos

Protein WISDOM: A Workbench for In silico De novo Design of BioMolecules
10:58

Protein WISDOM: A Workbench for In silico De novo Design of BioMolecules

Published on: July 25, 2013

17.2K
Author Spotlight: Optimization of Airflow Velocities in Battery Cooling Systems for Enhanced Thermal Performance and Reduced Energy Consumption
10:36

Author Spotlight: Optimization of Airflow Velocities in Battery Cooling Systems for Enhanced Thermal Performance and Reduced Energy Consumption

Published on: November 3, 2023

1.7K

Related Experiment Videos

Last Updated: Sep 13, 2025

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator
06:45

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator

Published on: October 28, 2022

1.8K
Protein WISDOM: A Workbench for In silico De novo Design of BioMolecules
10:58

Protein WISDOM: A Workbench for In silico De novo Design of BioMolecules

Published on: July 25, 2013

17.2K
Author Spotlight: Optimization of Airflow Velocities in Battery Cooling Systems for Enhanced Thermal Performance and Reduced Energy Consumption
10:36

Author Spotlight: Optimization of Airflow Velocities in Battery Cooling Systems for Enhanced Thermal Performance and Reduced Energy Consumption

Published on: November 3, 2023

1.7K

Area of Science:

  • Electrical Engineering
  • Optimization Theory

Background:

  • Distributed energy systems rely on Battery Energy Storage Systems (BESS) for stability and cost reduction.
  • Non-linear efficiency curves in BESS and power converters cause discrepancies between planned and actual energy storage.
  • Accurate modeling is essential for effective BESS operation and integration into smart grids.

Purpose of the Study:

  • To propose and evaluate linearization techniques for mitigating errors in BESS charging/discharging schedules.
  • To compare the effectiveness of Special Ordered Set type 1 (SOS1), Special Ordered Set type 2 (SOS2), and Taylor methods.
  • To develop heuristics for optimal initial point selection in efficiency curve linearization.

Main Methods:

  • Linearization of non-linear equipment characteristics (BESS, DC/AC, AC/DC converters) using SOS1, SOS2, and Taylor methods.
  • Development of heuristics for selecting initial points for linearization intervals.
  • Implementation and experimental validation of the proposed control strategies.

Main Results:

  • Demonstrated reduction in operational errors caused by non-linear equipment efficiencies.
  • Experimental results confirm the effectiveness of the proposed linearization approaches.
  • Heuristics provided effective initial point selection for linearization intervals.

Conclusions:

  • Linearization techniques significantly improve the accuracy of BESS scheduling in distributed energy systems.
  • The proposed methods offer practical solutions for managing non-linearities in power electronics and energy storage.
  • This research contributes to more reliable and cost-effective operation of modern energy grids.