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Effective Numerical Simulation of Fault Transient System

Sixu Wu, Feng Ji, Lu Gao, Ruili Zhang, Cunwei Tang, Yifa Tang

Abstract

Power systems, including synchronous generator systems, are typical systems that strive for stable operation. In this article, we numerically study the fault transient process of a synchronous generator system based on the first benchmark model. That is, we make it clear whether an originally stable generator system can restore its stability after a short time of unstable transient process. To achieve this, we construct a structure-preserving method and compare it with the existing and frequently-used predictor-corrector method. We newly establish a reductive form of the circuit system and accelerate the reduction process. Also a switching method between two stages in the fault transient process is given. Numerical results show the effectiveness and reliability of our method.

Effective Numerical Simulation of Fault Transient System

Abstract

Power systems, including synchronous generator systems, are typical systems that strive for stable operation. In this article, we numerically study the fault transient process of a synchronous generator system based on the first benchmark model. That is, we make it clear whether an originally stable generator system can restore its stability after a short time of unstable transient process. To achieve this, we construct a structure-preserving method and compare it with the existing and frequently-used predictor-corrector method. We newly establish a reductive form of the circuit system and accelerate the reduction process. Also a switching method between two stages in the fault transient process is given. Numerical results show the effectiveness and reliability of our method.

Paper Structure

This paper contains 11 sections, 6 theorems, 84 equations, 5 figures, 1 table.

Table of Contents

  1. Introduction
  2. Synchronous generator system
  3. Modeling of General Case
  4. Reduction of General Case
  5. A Specific Case
  6. A Predictor-Corrector Method
  7. Structure-Preserving Methods
  8. Dirac Structure
  9. Switching between two Stages
  10. Numerical Simulations
  11. Conclusions

Key Result

Lemma 2.1

The matrix $K_L$ is non-negative definite and is positive definite for all $\theta\in [0,2\pi)$.

Figures (5)

  • Figure 1: Synchronous generator system.
  • Figure 2: A Special Case.
  • Figure 3: Simulation of error of $5$-th angular velocity $\Delta\omega$, electromagnetic torque TE and power angle by two methods with break time $t_b=0.5$ seconds.
  • Figure 4: Simulation of power angle in $1500$ seconds.
  • Figure 5: Simulation for CCT by Structure Preserving method.

Theorems & Definitions (15)

  • Lemma 2.1
  • proof
  • Remark 2.1
  • Lemma 2.2
  • proof
  • Lemma 2.3
  • proof
  • Theorem 2.1
  • proof
  • Lemma 2.4
  • ...and 5 more