Nodal Analysis
How a network becomes a system of equations, and how components stamp into it.
Concepts
The mathematics behind the solvers and the component models.
The methods DPsim implements, described independently of the code. Nodal analysis and dynamic phasors underpin the main solver and have a page each. The model pages give the physical equations for a component and how they are transformed for each supported domain.
DPsim also includes a load flow solver, used on its own or to compute the initial state of a network when that state is not part of the network data. Electromagnetic transient models exist alongside the dynamic phasor ones, serving both as a simulation domain and as the reference the dynamic phasor models are tested against.
Dynamic Phasors
The envelope transform behind the DP domain, derived two ways, and how it relates to EMT.
Powerflow
Steady-state solution of the network, and the bus types and iteration behind it.
State-Space Nodal
Solving a component simultaneously with the network instead of through a delayed injection.
State-Space Nodal Across Domains
Why the same state-space component is discretised differently in an instantaneous and an envelope domain.
State-Space Extraction
Recovering a state-space model of the whole network from the solver.
Modal Analysis
Reading the modes of an extracted state-space model, and what participation factors say about them.
Alternative Solution Methods
Differential-algebraic, ordinary differential and torn-network formulations, and when each is preferable to nodal analysis.
Models
Mathematical description of the models implemented in DPsim.
Last modified 03.08.2026: removeNode: protect the ground node and clean up tear components (9470e46)