= 1-D (a) Consider the transfer function given in Part (d) of the Problem 1. This...

Transcribed Image Text:

= 1-D (a) Consider the transfer function given in Part (d) of the Problem 1. This model is a linearized model of the converter for an operating point consisting of a nominal duty cycle D and supply voltage Vin. For an operating point of D 0.5 and Vin 100 V, the nominal output voltage will be boosted to Vout=₁¹Vin 200 V. Simulate the linear model for a step in duty cycle from 0.5 to 0.51 and a step in duty cycle from 0.5 to 0.6 (note that this doesn't change the transfer function). (Use the same parameters from Problem 1, R₁ 1000, C 10 x 10-6 F, L = 200 × 10−6 H.) The linearized Simulink model can be modeled after the block diagram given in Module 12 (slide 16). Run the simulation for 0.02 seconds and let the step occur at 0.01 seconds. = = = (b) Now download the fully nonlinear Simulink model of the boost converter from Black- board. By right-clicking on the converter block you can look under the mask to see the full model. Simulate this model for a step in duty cycle from 0.5 to 0.51 and a step in duty cycle from 0.5 to 0.6. (c) Compare the results for the linear and nonlinear model for the two different step inputs and attempt to explain why the models match better in one case than the other. (d) Describe the tradeoffs associated with using the linear and nonlinear models. = 1-D (a) Consider the transfer function given in Part (d) of the Problem 1. This model is a linearized model of the converter for an operating point consisting of a nominal duty cycle D and supply voltage Vin. For an operating point of D 0.5 and Vin 100 V, the nominal output voltage will be boosted to Vout=₁¹Vin 200 V. Simulate the linear model for a step in duty cycle from 0.5 to 0.51 and a step in duty cycle from 0.5 to 0.6 (note that this doesn't change the transfer function). (Use the same parameters from Problem 1, R₁ 1000, C 10 x 10-6 F, L = 200 × 10−6 H.) The linearized Simulink model can be modeled after the block diagram given in Module 12 (slide 16). Run the simulation for 0.02 seconds and let the step occur at 0.01 seconds. = = = (b) Now download the fully nonlinear Simulink model of the boost converter from Black- board. By right-clicking on the converter block you can look under the mask to see the full model. Simulate this model for a step in duty cycle from 0.5 to 0.51 and a step in duty cycle from 0.5 to 0.6. (c) Compare the results for the linear and nonlinear model for the two different step inputs and attempt to explain why the models match better in one case than the other. (d) Describe the tradeoffs associated with using the linear and nonlinear models.

Answer rating: 100% (QA)

a To simulate the linear model of the boost converter for a step in duty cycle you can follow these steps 1 Open Simulink and create a new model 2 Set up the linearized model block diagram based on th... View the full answer