Abstract

The main objective of this paper is a fundamental study of the nature of inter-area oscillations in power systems. Small-signal stability refers to the ability of a power system to maintain synchronism under small disturbances Instability may arise in two forms increase of rotor angle due to lack of sufficient synchronization torque and rotor oscillations of increasing amplitude due to lack of sufficient damping torque. To study small signal stability analysis synchronous machine model, transmission line model and two area system model and the dynamic state matrix eigenvalues and eigen vectors are constructed and the small signal stability analysis done with the developed algorithm. The 11 bus systems are considered here for study of oscillations. The effects of the system structure, generator modelling, excitation type, and system loads are discussed in detail. In the study, only small signal stability analyses are used to determine the characteristics of the system. In the power system leads to the development of many oscillations at low frequency in the power system. This paper presents the effect of the load model it was easier to identify unstable modes of oscillation.

Highlights

  • With the increasing electric power demand, power systems can reach stressed conditions, resulting in undesirable voltage and frequency conditions[1]

  • The eigen value analysis was done for small signal stability of 11 bus 2 area system

  • The initial relative rotor angle obtained from the load flow solution or initial condition

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Summary

Introduction

With the increasing electric power demand, power systems can reach stressed conditions, resulting in undesirable voltage and frequency conditions[1]. The eigen value analysis was done for small signal stability of 11 bus 2 area system. The system response to such disturbances involves large excursions of generator rotor angles, power flows, bus voltages, and other system variables[2]. It is ­important that, while steady-state stability is a function only of ­operating conditions. A disturbance is considered to be small if the equations that represent the dynamic performance of the system can be linearized for the purpose of analysis function of both the operating conditions and the disturbance. Simulation tools use mathematical models that predict the dynamic performance of the system[7]. It is crucial that these power system models be modeled accurately to predict the actual performance of the ­system

Synchronous Machine Model
Introduction of Two-Area System
Small Signal Stability
State Equation
Multimachine Model
State Space Model
After that reduced the network equations
Eigen Analysis
Eigenvalues and Stability
Eigen Vectors
Mode Shape
Participation Factors
Eigen Value Sensitivity to Load Changes
Simulation
Simulation Results
Conclusion
10. References
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