{'fraction_non_alphanumeric': 0.013221153846153846, 'fraction_numerical': 0.002403846153846154, 'mean_word_length': 5.3106060606060606, '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}}
Evaluation of voltage stability based on sensitivity analyses of electric pricing

This paper presents a method to evaluate voltage stability based on the decomposition of the nodal price of each bus. Specifically, we first form an optimal power flow problem with voltage stability constraints, and then derive a decomposition expression for all factors related to nodal prices, in particular voltage stability constraints, which are given by a set of equalities. A numerical example based on IEEE 30-bus standard system is used to demonstrate the proposed method. Since the voltage stability is directly evaluated based on equivalent values, such information can be used not only to improve the efficient usage of power grid and congestion management, but also to provide economic signals for generation or transmission investment.