An Accurate Method for Delay Margin Computation for Power System Stability
Abstract
:1. Introduction
2. Materials and Methods
2.1. The Proposed Method
- (i)
- is stable,
- (ii)
- + is stable, and
- (iii)
2.2. The Single-Machine-Infinite-Bus Power System with AVR and PSS
The generator angle | |
The generator speed with the base speed | |
E’q | The generator voltage behind the transient reactance |
Efd | The exciter output voltage, and Efd0 is the reference |
The time constant and the gain of the exciter | |
The mechanical power | |
The generator damping factor | |
The moment of inertia | |
The open-loop time constant of the armature winding | |
The infinite bus voltage | |
The generator terminal voltage | |
The transmission line reactance | |
The transient reactance | |
The synchronous reactance | |
The time constants of the Lead-lag compensator | |
The time constant of the washout filter | |
The gain of the power system stabilizer |
3. Results
4. Discussions
5. Conclusions
Author Contributions
Funding
Conflicts of Interest
Nomenclature
The generator angle | |
The generator speed with the base speed | |
E’q | The generator voltage behind the transient reactance |
Efd | The exciter output voltage, and Efd0 is the reference |
The gain of the exciter and the time constant | |
Constants | |
The mechanical power | |
The generator damping factor | |
The moment of inertia | |
The open-loop time constant of the armature winding | |
The infinite bus voltage | |
The generator terminal voltage | |
The Power System Stabilizer (PSS) signal | |
Vref | The reference terminal voltage |
The washout filter voltage | |
The direct axis voltage | |
Vq | The quadrature axis voltage |
The transmission line resistance | |
The windings resistance | |
The transmission line reactance | |
The transient reactance | |
The synchronous reactance | |
The time constants of the Lead-lag compensator | |
The time constant of the washout filter | |
The gain of the power system stabilizer | |
Id | The direct axis current |
Iq | The quadrature axis current |
Appendix A
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M | D | ||||
---|---|---|---|---|---|
6.4 | 0.0 | 2.5 | 0.39 | 9.6 | 0.5 |
2.1 | 5 | 1.05 | 377.0 | 0.0 | |
0.0 | 0.5 | 0.1 | 2.0 | 100 | 0.05 |
The parameter | Method | 1 | 2 | 3 |
---|---|---|---|---|
ωc (rad/s) | The proposed method | 2.5141 | 11.0472 | 13.1185 |
The method in Ref. [25] | 2.5140 | 11.0473 | 13.1187 | |
τ (s) | The proposed method | 0.4958 | 0.3320 | 0.0786 |
The method in Ref. [25] | 0.4958 | 0.3320 | 0.0786 |
Method | τ1 (s) | τ2 (s) | τ3 (s) | |
---|---|---|---|---|
KPSS = 0 | The proposed method | 0.1854 | 0.4635 | 0.3984 |
The method in Ref. [25] | 0.1788 | 0.4579 | 0.3678 | |
KPSS = 5 | The proposed method | 0.1632 | 0.3774 | 0.4262 |
The method in Ref. [25] | 0.1632 | 0.3774 | 0.4262 | |
KPSS = 10 | The proposed method | 0.1289 | 0.3539 | 0.4508 |
The method in Ref. [25] | 0.1289 | 0.3539 | 0.4508 | |
KPSS = 15 | The proposed method | 0.1010 | 0.3407 | 0.4738 |
The method in Ref. [25] | 0.1010 | 0.3407 | 0.4738 | |
KPSS = 20 | The proposed method | 0.0786 | 0.3320 | 0.4958 |
The method in Ref. [25] | 0.0786 | 0.3320 | 0.4958 | |
KPSS = 25 | The proposed method | 0.0600 | 0.3258 | 0.5171 |
The method in Ref. [25] | 0.0600 | 0.3258 | 0.5171 | |
KPSS = 30 | The proposed method | 0.0439 | 0.3214 | 0.5378 |
The method in Ref. [25] | 0.0439 | 0.3214 | 0.5378 |
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Khalil, A.; Swee Peng, A. An Accurate Method for Delay Margin Computation for Power System Stability. Energies 2018, 11, 3466. https://doi.org/10.3390/en11123466
Khalil A, Swee Peng A. An Accurate Method for Delay Margin Computation for Power System Stability. Energies. 2018; 11(12):3466. https://doi.org/10.3390/en11123466
Chicago/Turabian StyleKhalil, Ashraf, and Ang Swee Peng. 2018. "An Accurate Method for Delay Margin Computation for Power System Stability" Energies 11, no. 12: 3466. https://doi.org/10.3390/en11123466