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Modal distribution transformation matrix

The modal distribution can also be explained by applying the transformation matrix A... [Pg.84]

This same explanation can be given by applying the transformation matrices in Equations 1.176, Equations 1.177 and 1.178 in the case of a completely transposed line. When a line is untransposed, the transformation matrices are no longer useful — except Equation 1.179, which can be used as an approximation of a transformation matrix of an untransposed horizontal line. In the case of an untransposed line, the transformation matrix is frequency-dependent as explained in Section 1.5.1 thus, the modal voltage and current distributions vary as the frequency changes. Also, the current distribution differs from the voltage distribution. [Pg.84]

In this case, the modal distribution is the same as that explained in Section I.4.4.I. The current transformation matrix is given from Equation 1.179 by... [Pg.93]

Modal Distribution of Multiphase Voltages and Currents 1.4.4.1 Transformation Matrix... [Pg.52]

The Bayesian spectral density approach approximates the spectral density matrix estimators as Wishart distributed random matrices. This is the consequence of the special structure of the covariance matrix of the real and imaginary parts of the discrete Fourier transforms in Equation (3.53) [295]. Another approximation is made on the independency of the spectral density matrix estimators at different frequencies. These two approximations were verified to be accurate at the frequencies around the peaks of the spectmm. The spectral density estimators in the frequency range with small spectral values will become dependent since aliasing and leakage effects have a greater impact on their values. Therefore, the likelihood function is constructed to include the spectral density estimators in a limited bandwidth only. In particular, the loss of information due to the exclusion of some of the frequencies affects the estimation of the prediction-error variance but not the parameters that govern the time-frequency structure of the response, e.g., the modal frequencies or stiffness of a structure. [Pg.189]


See also in sourсe #XX -- [ Pg.53 ]




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