The paper demonstrates that normal power system operating data may be used to determine the power-frequency characteristics in power system. Data are processed as random signals using spectral analysis techniques and the results estimate the generator and load power-frequency characteristics as transfer functions. The generator characteristics
Kg is determined as a transfer function of the system in which input signals are frequency fluctuation
ΔF and generator power setting signal
ΔPg and output signal is generator power output
ΔPe. For estimating the load characteristics
Kl, there is a difficulty. There is a relation of
ΔPl=
ΔLo+
KlΔF, between actual load
ΔPl, ideal load under the state of nominal frequency
ΔLo and fluctuation of system frequency
ΔF. While, because it is impossible to measure
ΔLo directly,
ΔLo and
KlΔF can not be separated. As to a partial system, when its capacity is small enough compared with the total system capacity, the contribution of
ΔLo in a partial system to
ΔF of the total system may be ignored, that is,
ΔF and
ΔLo are considered as independent phenomena. So, the cross-spectrum of
ΔF and
ΔLo decreases to zero according to the increase of data in number and
Kl of the partial system can be estimated.
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