### Abstract

A method for transient stability simulation is presented that aims to exploit the maximum degree of parallelism that the problem presents. The transient stability problem is viewed as a coupled set of nonlinear algebraic and differential equations; by applying a discretization method such as the trapezoidal rule, the overall algebraic-differential set of equations is thus transformed into an unique algebraic problem at each time step. A solution that considers every time step, not in a sequential way but concurrently, is suggested. The solution of this set of equations with a relaxation-type indirect method gives rise to a highly parallel algorithm. The parallelism consists of a parallelism in space (that is, in the equations at each time step) and a parallelism in time. Another characteristic of the algorithm is that the time step can be changed between iterations, using a nested iteration multigrid technique, from a coarse time grid to the desired fine time grid to enhance the convergence of the algorithm. The method can handle all the typical dynamic models of realistic power system components. Test results are presented and shown to favorably compare with those obtained with the sequential dishonest Newton algorithm for realistic power systems.

Original language | English (US) |
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Pages (from-to) | 1439-1446 |

Number of pages | 8 |

Journal | IEEE Transactions on Power Systems |

Volume | 5 |

Issue number | 4 |

DOIs | |

Publication status | Published - Nov 1990 |

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### ASJC Scopus subject areas

- Electrical and Electronic Engineering

### Cite this

*IEEE Transactions on Power Systems*,

*5*(4), 1439-1446. https://doi.org/10.1109/59.99398