**HIROFUMI OHTA and YOSHISUKE UEDA**

Department of Electrical Engineering, Kyoto University, Kyoto, 606-8501, Japan

1. INTRODUCTION

2. POWER SYSTEM MODEL (digest)

2.1. Generator model (digest)

2.2. AVR model (digest)

2.3. Transmission lines model

2.4. Load model

3. RESULTS OF SIMULATION (digest)

3.1. Overview of bifurcations

3.2. Steady states and bifurcations

3.3. Voltage collapse and unstable limit cycles

4. DISCUSSION

5. CONCLUSION

REFERENCES

APPENDIX: THE BASIC THEORY OF A GENERATOR [4-7]

A.1. Two-pole model of a generator

A.2. Park's transformation and voltage equations

A.3. Flux linkage equations

A.4. Per unit conversion

A.5. Swing equation

A.6. Conversion of manufacturer data

Errata

Figures 4 (b) and (c) are missing from the publication.

Related paper

- Ohta and Ueda : "Unstable limit cycles in an electric power system and basin boundary of voltage collapse,"

Chaos, Solitons & Fractals, Vol. 12, No. 1, pp. 159-172 (2001) - Ohta and Ueda : "Blue sky bifurcations caused by unstable limit cycle leading to voltage collapse in an electric power system,"

Chaos, Solitons & Fractals, Vol. 14, No. 11, pp. 1227-1237 (2002)