Research on wind power penetration limit considering voltage stability

Overview

This research addresses the determination of maximum wind power capacity that power systems can reliably accommodate while maintaining voltage stability. The reactive power support capability of the grid is identified as a critical constraint on wind power integration capacity. The study develops an analytical framework for assessing wind power penetration limits that explicitly accounts for voltage stability constraints and modal interactions in power systems with high wind penetration.

Methods and approach

The methodology employs reduced-order Jacobian matrix analysis to characterize how wind power integration affects modal eigenvalues and system stability characteristics. An analytical calculation method is developed to determine wind power penetration limits under voltage stability constraints, supported by theoretical derivation. The proposed approach is validated through case studies on a wind-integrated test system and a modified IEEE 39-bus system, with comparative assessment against alternative estimation methods.

Results

The proposed method enables rapid and effective estimation of wind power penetration limits with accuracy validated against alternative approaches. Case studies demonstrate the method's applicability across different system configurations. Key factors influencing penetration limits are identified and quantified, providing insight into the sensitivity of maximum wind capacity to system parameters and operating conditions.

Implications

The analytical framework provides power system planners with computational tools for determining technically feasible wind power integration levels while maintaining grid stability margins. Results enable systematic identification of engineering measures to enhance penetration capacity, supporting informed decisions regarding renewable energy infrastructure development. The method addresses a critical gap between theoretical wind resource availability and practical grid accommodation limits, facilitating more accurate assessment of system reinforcement requirements.