| There are rotating equipment with a large time constant in microturbine power generation system.And it also has power electronic converters and corresponding controller which have fast response.That is,the system is a multi-time-scale system,it has significant rigidity.Thus,the algorithm needs to meet the higher requirements in terms of numerical stability and computational efficiency.In this paper,an exponential integral method based on exponential integral method is proposed to simulate the microturbine power generation system.The exponential Euler formula can be constructed by using the exponential integral good numerical performance,which can be used to maintain the numerical stability under large integration steps.Firstly,the working principle and simplified module of each component of microgas turbine are analyzed,and the energy conversion process is described.The principle of the micro-turbine is described and the model is established.The permanent magnet synchronous generator,the rectifier circuit and the inverter circuit are respectively modeled respectively in the micro-gas turbine power generation system.Combining with the operation of the system,the corresponding control strategy is studied,and the design of the filter circuit is given with the characteristics of the circuit parameters.The whole modeling work of the micro-turbine power generation system is completed.In the numerical algorithm,to solve the rigidity problem,the matrix exponential in the process of solving the system of linear time-invariant is deduced step by step.On this basis,the matrix exponential formula applied to solve the standard form of stateoutput equation is given.Combined with Scaling & Modified Squaring algorithm Which improves the speed of calculation and realizes efficient solution,which lays the foundation for the simulation.An example of a gas turbine power generation system with islanding operation is constructed.And the results are compared with the simulation data of small steps in Simulink platform,and the validity and accuracy of the proposed simulation method are verified. |