Defining and Measuring Power System Frequency Based on Symmetry Principles

カテゴリ: 部門大会

論文No: 30

グループ名: 【B】令和6年電気学会電力・エネルギー部門大会

発行日: 2024/08/23

タイトル(英語): Defining and Measuring Power System Frequency Based on Symmetry Principles

著者名: 関建平（三菱電機）

著者名(英語): Kempei Seki (Mitsubishi Electric Corporation)

キーワード: 電力系統周波数|スパイラルベクトル理論|ゲージ回転位相角|代数多様体|超越数|マクローリン展開|power system frequency|spiral vector theory|gauge rotation phase angle|algebraic variety|transcendental number|Maclaurin expansion

要約(英語): This paper presents a novel method for defining and measuring power system frequency using a new state variable, the gauge rotation phase angle. We construct a four-dimensional C4 algebraic variety, revealing its lack of 90-degree rotational symmetry, leading to spontaneous frequency symmetry breaking and Time Error. The frequency and voltage amplitude are identified as transcendental numbers. The measurement process involves differential voltage calculation, squaring of voltage amplitude and chord, and frequency coefficient calculation. Angle and frequency deviations are calculated using the frequency coefficient with Maclaurin expansion. Applying this method to actual data reduced voltage vector jumps and confirmed system oscillation, demonstrating the effective application of field and group theories in power system analysis.

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