An Energy-Based, Always Index $\leq$ 1 and Structurally Amenable Electrical Circuit Model
DOI10.1137/21M1434611MaRDI QIDQ5099864
Lena Scholz, Nedialko S. Nedialkov, John D. Pryce
Publication date: 26 August 2022
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.05106
differential-algebraic equationstructural analysiselectrical circuitsport-Hamiltonian systemdifferentiation index
Implicit ordinary differential equations, differential-algebraic equations (34A09) Qualitative investigation and simulation of ordinary differential equation models (34C60) Applications of graph theory to circuits and networks (94C15) Circuits in qualitative investigation and simulation of models (94C60)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Regularization of DAEs based on the signature method
- Structural analysis of electrical circuits including magnetoquasistatic devices
- Index minimization of differential-algebraic equations in hybrid analysis for circuit simulation
- A shortest augmenting path algorithm for dense and sparse linear assignment problems
- Linear port-Hamiltonian descriptor systems
- A new approach for computing consistent initial values and Taylor coefficients for DAEs using projector-based constrained optimization
- The signature method for DAEs arising in the modeling of electrical circuits
- The index of general nonlinear DAEs
- Port-Hamiltonian formulation of nonlinear electrical circuits
- Derivative-explicit differential equations for RLC graphs
- Solving differential-algebraic equations by Taylor series. I: Computing Taylor coefficients
- Structural Analysis and Dummy Derivatives: Some Relations
- Index characterization of differential-algebraic equations in hybrid analysis for circuit simulation
- The Consistent Initialization of Differential-Algebraic Systems
- A step-by-step approach to compute a consistent initialization for the MNA
- Structural analysis of electric circuits and consequences for MNA
- Index Reduction in Differential-Algebraic Equations Using Dummy Derivatives
- Port-Hamiltonian Differential-Algebraic Systems
- Port-Hamiltonian Systems Theory: An Introductory Overview
- Tractability index of hybrid equations for circuit simulation
- A Discussion of Some Mathematical Techniques Used in Kron’s Method of Tearing
- A simple structural analysis method for DAEs
This page was built for publication: An Energy-Based, Always Index $\leq$ 1 and Structurally Amenable Electrical Circuit Model
