Effective Numerical Simulations of Synchronous Generator System

by   Jiawei Zhang, et al.

Synchronous generator system is a complicated dynamical system for energy transmission, which plays an important role in modern industrial production. In this article, we propose some predictor-corrector methods and structure-preserving methods for a generator system based on the first benchmark model of subsynchronous resonance, among which the structure-preserving methods preserve a Dirac structure associated with the so-called port-Hamiltonian descriptor systems. To illustrate this, the simplified generator system in the form of index-1 differential-algebraic equations has been derived. Our analyses provide the global error estimates for a special class of structure-preserving methods called Gauss methods, which guarantee their superior performance over the PSCAD/EMTDC and the predictor-corrector methods in terms of computational stability. Numerical simulations are implemented to verify the effectiveness and advantages of our methods.


Structure-preserving discretization of port-Hamiltonian plate models

Methods for discretizing port-Hamiltonian systems are of interest both f...

Structure-preserving Interpolatory Model Reduction for Port-Hamiltonian Differential-Algebraic Systems

We examine interpolatory model reduction methods that are well-suited fo...

Energy-preserving multi-symplectic Runge-Kutta methods for Hamiltonian wave equations

It is well-known that a numerical method which is at the same time geome...

Geometric particle-in-cell methods for Vlasov–Poisson equations with Maxwell–Boltzmann electrons

In this paper, variational and Hamiltonian formulations of the Vlasov–Po...

Structure-preserving numerical schemes for Lindblad equations

We study a family of structure-preserving deterministic numerical scheme...

Functional-preserving predictor-corrector multiderivative schemes

In this work, we develop a class of high-order multiderivative time inte...

A new family of fourth-order energy-preserving integrators

For Hamiltonian systems with non-canonical structure matrices, a new fam...

Please sign up or login with your details

Forgot password? Click here to reset