The invention relates to a frequency full-response analytical model considering an initial state of a
system. The model is characterized in that S1, a dynamic frequency full-
response model is established according to a linearized model of each element of a power
system and is simplified; S2, the initial state and input of the
system are respectively ignored based on the full-
response model in theS1, and analytic expressions of the
frequency offset and the zero state response and zero input response of the power increment of a low-pressure cylinder in a
steam turbine in the time period from tito ti+1 after a sudden change point i are obtained; S3, according to the
superposition theorem, a full-response expression of the system
frequency offset in the time period from ti to ti+1 after thesudden change point i is obtained through the S2; S4, i is made to be 1, and the process turns to a S5; S5, an analytical expression of the system
frequency offset and the power increment of the low-pressure cylinder in the
steam turbine in the time period from ti to ti+1 is solved; S6; if i is less than n, i is made to be equal to i+1, and the process turns to the S5; otherwise, the process turnsto a S7; and S7, an analytical expression of the whole dynamic
frequency response process of the system is obtained. The model is advantaged in that the
frequency response process of the system wheninput such as low-frequency
load shedding and unit protection generator
tripping occurs or parameters change suddenly when the frequency falls can be analyzed.