a semi-analytical recursive calculation model of rotor temperature field is developed. Considering the change of heat transfer coefficient with time
the start-up process is divided into multiple heating processes with constant heat transfer coefficient in the algorithm. The value of heat transfer coefficient of each heating process is taken as the initial value of heat transfer coefficient at the beginning of the process. The temperature field at the end of each process is fitted as 4th-order polynomial
and the 4th-order polynomial will be the initial temperature field of the next temperature rising process. Then
the transient temperature field of the next temperature rising process is calculated through the Laplace transform method. To verify the accuracy and efficiency of the semi-analytical recursive model
finite element method and recursive model are used to calculate the temperature field and stress field of the rotor during cold start of a 660 MW turbine unit. The calculation results show that the trend of the thermal stress calculated by two models is the same. The thermal stress calculated by two models differs by 0.11%
and the computation time of the recursive model is about 2.8% of the finite element model. An objective function of rotor start-up optimization is constructed by the semi-analytical recursive model
and the genetic algorithm is used to optimize the rotor cold start-up of a 660 MW unit. After optimization
the maximum thermal stress of the rotor is reduced by 19.4% and the starting time is reduced by 4.9%.
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