{'fraction_non_alphanumeric': 0.008739076154806492, 'fraction_numerical': 0.003745318352059925, 'mean_word_length': 5.217054263565892, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Voltage stability margin estimation for a load area using a three-bus equivalent

This paper describes a new method for estimating the power transfer limits on tie lines of a load area represented using a three-bus equivalent recently proposed. This new method uses companion matrix eigenvalues to solve a sextic equation about the maximum active power transfer against voltage instability and is able to handle more general load increase scenarios. The proposed method is compared with a previously proposed partial derivative calculation based method using an artificial three-bus system to demonstrate its better accuracy and is also tested on the Northeast Power Coordinating Council 140-bus power system for calculating the power transfer limits of three tie lines of the Connecticut Load Center.