Modelling of Microturbine Systems

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Modelling of Microturbine Systems ( modelling-microturbine-systems )

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engine power output. With this simulation, the most important dynamic is the speed at which the microturbine decelerates. The axes of the figure below are removed for confidentiality. Brake chopper test Time (s) Figure 28: Brake chopper test with data from the model (dashed red) and the microturbine (solid blue) when the power grid is disconnected at time t = 600 seconds. The model value of the speed shows great similarity with the measured values down to 35 000 rpm, which is the within the valid range of the model. The difference can be explained by two separate causes. Firstly, there are larger model errors at lower speeds, especially since data in the compressor and turbine map are given down to 21 000 and 30 000 rpm respectively. Secondly and possibly the largest error is a difference in the simple brake chopper model (the power it dissipates) and the control system model. As described in section 5.10 and figure 25 the desired engine power output is divided with the angular velocity to get the brake chopper torque. When the speed is decreasing faster than the desired power output, the torque is increased even more. As the speed goes to zero, the torque goes in theory to infinity. This effect can be seen in figure 28, where the speed drops very quickly in the end. 7. Conclusions and Summary In this chapter I will discuss the results given in the previous chapter and give a summary of the models used in this thesis. The mass flow of the compressor is modelled with fitted curves, which parameters can be evaluated by polynomial functions, see figure 17. The efficiency of the compressor is modelled as parabolic degradation curves, which can be seen in figure 18. The mass flow through the turbine is modelled as choked (at a maximum) through the entire working range, see equation (5.4.1) and figure 20. The efficiency of the turbine is computed through interpolation, see equation (5.4.4). The heat exchangers in the microturbine are modelled as pipes with heat convection and conduction in one dimension, see figure 22. The increase in enthalpy of the fluid in the combustion chamber is based on reaction formulas and the corresponding energy released during 51 Speed (rpm)

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