A Hierarchical Detection Method for Low-Frequency Oscillating Modes of Power System Noise-Like Signals
A low-frequency oscillation, power system technology, applied in information technology support systems, electrical components, circuit devices, etc., can solve problems such as large amount of PMU data calculation and speed impact.
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[0052] Below is the step that adopts the specific embodiment of the present invention, as follows:
[0053] The small disturbance state change process of the whole system can be expressed by a linear time-invariant differential equation:
[0054]
[0055] Among them, x(t) is an n-dimensional state vector, and y(t) is an m-dimensional output vector. u(t) is a k-dimensional input vector. In general steady-state power system low-frequency oscillation detection, it can be considered that small changes such as load fluctuations are the main input disturbances, and u(t) is generally set as zero-mean white noise.
[0056] where the i-th eigenvalue of matrix A is
[0057] lambda i = σ i +jω i
[0058] The corresponding oscillation frequency and damping ratio are respectively
[0059] f i = ω i / (2π)
[0060]
[0061] with lambda i The corresponding modal quantity is its corresponding right eigenvector φ i . φ i The ratio of the l-th and k-th elements is defined as ...
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