Generator Small-Signal Stability Test Procedure (IEEE 112-2017 Appendix B)
The Generator Small-Signal Stability Test Procedure in IEEE 112-2017 Appendix B is a standardized experimental method for determining the small-signal (linearized) dynamic response characteristics of synchronous generators—including damping torque, synchronizing torque coefficients, and rotor angle eigenvalues—under controlled perturbations near steady-state operating conditions. It specifies test configurations, excitation system settings, measurement protocols, and data processing techniques to extract modal parameters relevant to low-frequency electromechanical oscillations (e.g., 0.1–2.0 Hz). This procedure supports validation of generator models used in power system stability studies.
📖 Overview
📑 Key Components
🎯 Applications
- ✓ Validation of synchronous generator dynamic models in power system stability studies
- ✓ Tuning of Power System Stabilizers (PSS) using measured damping characteristics
- ✓ Commissioning and model certification of new or retrofitted generating units
📐 Key Formulas
Linearized Rotor Swing Equation
M \frac{d^2\Delta\delta}{dt^2} + D \frac{d\Delta\delta}{dt} + K_s \Delta\delta = \Delta T_e
Relates rotor angle deviation (Δδ) to electromagnetic torque deviation (ΔTe); M = inertia constant, D = damping coefficient, K_s = synchronizing torque coefficient
Damping Ratio
\zeta = -\frac{\sigma}{\sqrt{\sigma^2 + \omega_d^2}}
Quantifies decay rate of oscillatory mode; derived from complex eigenvalue λ = σ ± jω_d of the linearized system matrix
Coherence Function
\gamma_{xy}^2(f) = \frac{|G_{xy}(f)|^2}{G_{xx}(f) G_{yy}(f)}
Measures linear correlation between input perturbation (x) and output response (y) at frequency f; required >0.85 per IEEE 112-2017 for valid mode identification