⚡ DC-DC Buck Converter Controller Design using Type 2 Compensator ☀️ Calculations & MATLAB & TINA-TI
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- Опубликовано: 21 июл 2024
- In this video, we will discuss the design of a Type 2 Compensated Error Amplifier Design for a DC-DC Buck Converter. We will use the K Factor Method to design the controller.
We will develop the transfer function of each part of the circuit in the loop and set up the loop transfer function to meet the required phase margin at the specified crossover frequency (unity-gain frequency). We will use the K factor method to calculate the component values of the Type 2 Compensated Error Amplifier.
We will workout the calculations step by step and verify our calculations using simulations in MATLAB/Simulink. #MATLAB #simulink and TINA-TI Spice #tina #spice
🎯 Outline:
⏩ 00:00:00 Introduction
⏩ 00:00:28 Part 1: Control Theory
⏩ 00:11:30 Part 2: Design Calculations
⏩ 00:24:00 Part 3A: Design Simulations in MATLAB
⏩ 00:26:17 Part 3B: Design Simulations in TINA-TI Spice
⭐ Documentation & Simulation Files 👇
🔗 Video Presentation:
🔗 MATLAB Script - Example Gain Margin & Phase Margin:
🔗 MATLAB Script - Example Root Locus Method Second-Order System:
🔗 MATLAB Script - Complete Buck Converter Design:
🔗 TINA-TI SPICE Files:
📚 Resources 👇
🔗 The K Factor: A New Mathematical Tool for Stability Analysis: cdn2.hubspot.net/hubfs/486746...
🔗 Datasheet Buck Controller IC LM5146: www.ti.com/product/LM5146
🔗 DC-DC Buck Converter Controller Design using Type 3 Compensator: • ⚡ DC-DC Buck Converter...
Power Electronics, Daniel Hart, ISBN: 9780073380674
👉 More Power Electronics: • Power Electronics
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Copyright © ir. Mehmet Can
No part of this video and text may be reprinted, reproduced, transmitted, or utilized in any form by any electronic, mechanical, or other means, now known or hereafter invented, including photocopying, microfilming, and recording, or in any information storage or retrieval system, without written permission from the owner.
#buck #converter #compensator #type3 #error #amplifier #controller #design #powerelectronics #squarewave #power #electronics #analog #electriccircuits #rms #average #current #voltage #resistor #inductor #impedance #load #source #battery #analog #powerelectronics #electriccircuits #circuits #THD #totalharmonicdestortion #powermosfet #RLC #impedance #matlab #simulink #tina #spice
Nice , thank you
You are welcome!
The same method can be used with the other switched converters such as the boost and buck-boost but deriving the plant transfer function is more complicated and requires state space averaging. This involves deriving a state space for all the switching states and averaging them. DCM will have a different transfer function to CMM due to the additional zero current state.
Thanks for your message. Indeed, this method can be also used for other converter types. Not only the derivation will be somewhat difficult, but also also different for the modulator transfer function depending on the operating mode. For continuous conduction mode, the transfer function is much easier than for the discontinuous conduction mode.
@@CanBijles yes one could dedicate an entire video to deriving the transfer function per converter and operating mode
Indeed, it is all about time and how far we need to go in the derivations.
Great!
Thanks!
How do you get the given transfer function, if you compare to the videos from Prof Marcos Alonso, he designs by choosing the inductor and output capacitor first from other design criteria , and then the transfer function is established from that, followed by the actual component values, Thank you for great Videos, Greetings, Petrus Bosman.
Hi Petrus, thanks for your mail. Great to know you liked the video!
The transfer function F(s), which is taking into account the filter and load, is determined using the output voltage divided by the input voltage for F(s) circuit only. When you carry out the analysis, you will get the transfer function F(s). The calculations of the component values really depend on the design specifications and of course on the available components.
Hello,Thank you for a useful and informative lesson. It's just not clear why the divider R1 R3 is at the input and not at the output of the converter? Where in this scheme is the feedback from the output of the system to its input?
Thanks for your message. The error amplifier compares the reference voltage Vref with the part of the output voltage. This should be done at the input of the error amplifier
The part of the output voltage is set equal to the Vref using the voltage division created by the resistors R1 and R3. This is also explained in the video.
Comparison is made best at the input of the error amplifier, because the circuit can act faster to changes in the output voltage.
In addition: the circuit in the TINA-TI Spice simulator is for AC analysis. Here, we look at the loop transfer function, so we apply a AC signal at the point (output node) where we also measure the output voltage, thus we make a complete loop. The Vg is also Vo for normal operation. This is just for AC analysis.
@@CanBijles Yes, everything is clear now, thank you!
Great to know👍
@@CanBijles And also, could you tell me, the step response can somehow be seen according to the scheme from TINA TI
Hello Sir, based on 25:43 the phase boost of the designed compensator will be 68.5 degree?
How did you get the 68.5 degrees of phase contribution for the compensator?
@@CanBijles Is is by 90 - 21.5 = 68.5 phase boost since the compensator starts from -90 degree to -21.5 degree.
@@patrickliew2756 You can see in 25:25 in MATLAB that the phase contribution of the compensator is -21.5 degrees. This is not taking into account the 180 degrees phase shift due to inverting amplifier action of the error amplifier. At 28:05 you can see that the phase of the compensator is 157 degrees in TINA-TISPICE, which is close to 180 - 21.5 = 158.5 degrees.
TINA-TI Spice and MATLAB calculation the phase of the compensator different, because MATLAB does not include the phase inversion due to inverting amplifier action of the error amplifier.
Hello sir, I had emailed you some question regarding the design of type 2 compensator. Hope you can have a look when you are free. Thank you.
Ok, I will get back to it as soon as possible. In the mean time, you can send the documents and files you have where necessary.