Iterative Optimization Method for Frequency Stability Constraints in
Renewable Energy-Integrated Power Systems
Abstract
This paper presents a practical method for allocating inertia and
damping in power systems integrated with renewable energy sources (RES).
The frequency response model of the power system is first established,
with distinct modeling of the dynamics of synchronous generators (SGs)
and three types of RES units. A state-space model, which describes the
relationship between frequency response and disturbances, is derived
through the disturbance allocation process. A fitting method for
frequency and power responses is proposed based on modal analysis.
Analytical formulas for frequency stability indices (FSIs) and power
indices are derived. Furthermore, applying matrix perturbation theory,
an iterative optimization method for inertia and damping allocation of
RES units is proposed and validated through simulation cases using the
modified IEEE 39-bus model.