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Thanks for publishing this video! Really insightful

Hi. I can't help but notice how smooth your voice is... Forgive me if that complement is inappropriate. But Also this helped me to go through my project as well ( even though I was tasked to do it in JAVA ) Thank you, sensei!

Amazing video for this topic! I came across this over 2 years ago when working on my Capstone project trying to implement regenerative braking for an E-Bike system. Unfortunately, the regenerative braking part of it didn't work out, but it stayed in my head as I went on to get my Master's in ECE where I wrote my thesis on the mathematical modeling of DC motor regenerative braking systems, which I just defended a week ago! I just wanted you to know that your video was a massive inspiration when I started learning about this. Thank you.

Love this, thank you!

Thank you so much for this. My probability class seems to think the homework is the best place to even introduce some of this notation. Feels like by the time I figure out what they're asking I could've already solved it. This is super helpful

Wonderful explanation and THANK YOU!

Amazing

Hello how would something like this work in python

This video is so great! I find the statistical notation provided in my classes to often be confusing, and often it is just because it is shorthand for something else that is more meaningful. I would love if you know of any more resources explaining various shorthand in probability and statistics. Also, I find the explanation you provide of random variables as functions to be very useful. One question I had was in regards to random variables in linear regression. The data points (X1, Y1), (X2, Y2), ... (XN, YN) are all composed of random variables. It seems confusing to think of these as functions. Instead, I have thought of random variables as "the output of a random process". I would love any clarification regarding this topic!

This video is very insightful. Understanding that math notation is really just shorthand for sentences in plain english can likely help alot of people afraid of math.

Which language is prefer for this project

Fresh air

the sounds of the marker makes this unwatchable.

I just got done taking a controls class. I loved it. However I really wish we would have had a lab. That would have been cool

Interesting demo lol

2:30 - Word "Algorithm" comes from his name :)

I tunes

Thanks for sharing this invaluable knowledge. Your explanation is very helpful.

Sweet.

Man this is great WE want more videos

wow, big thank you for this video finaly i found a good explanation & answers to all my questions... & i already consumed a lot of "content" on this

"The Silver bridge" point Pleasant W.VA

I'm doing a refresh of probability and stats, and the notations were killing me. Thank you for making this!

Gee Thanks. My head just exploded this morning..

What I'd like to know is if this regeneration system would charge the battery to full if it were to be continuously rotated by force? That is the only thing that is really important; because if it could; then it could charge the car while you are sleeping; if it were to be connected to a wind turbine that would be what could even be part of the vehicle. Because that is really what everyone want; free energy to run their car; that is everyone that isn't making money with selling energy.

Best explanation of Paxos I've seen. Thank you.

Nice explanation. Thanks.

The presentation was easy to follow and interesting. Well done brother 👍🏾

You summed up my Problem in the first instance!

Great presentation. I really liked his energy.

which algorithm did u use to find out the shortest path?

Overused 30 fps.

I've been mulling this over still more... It seems like there could be a scenario of "diminishing returns" in allowing such a close approach to steady state before switching over to battery charging; is there not likely a discoverable optimum rate at which to admit the charging pulses, such as may arise in triggering them before steady-state is so close at hand? It seems like you could make the pulses considerably more frequent before drastically shrinking them, while retaining the termination criteria to avoid reversal... This would admittedly reduce the braking torque but in a panic stop we're skipping regeneration anyway by holding the short, so these could be parts of a continuum... If we are doing this with FETs on an H-bridge with available PWM/CWG capabilities (and why would we not?), then it seems like just as we can modulate the driving voltage to provide reduced forward motion, surely we could modulate the braking in much the same way. Obviously we would need to provide a third state where after (1) the dead short provides braking and inductive current windup and (2) the north-going switch provides momentary current diversion to the battery, a state (3) would close both switches and provide coasting for the remainder of the anti-duty cycle. A bonus might be in that getting to this point seems to imply the potential for forward regeneration in case we happen to seek less than full operational speed, where a similar recharge pulse could be issued to release the inductive kickback at PWM frequency just before a coasting phase. If we're using FETs in a bridge, their anti-diodes are going to do this anyway when we turn the driving ones off after each pulse, so why not turn on the appropriate ones! Having laid out this rationale, it should be trivial to modify the drive orientation of the switches and just go on PWM-ing at the same frequency to accomplish all this, using current sensing to provide a trigger to the coasting state, with the state definitions being dynamic since there will be up to 4 different PWM paradigms including reverse (all of this can be accomplished with a PIC, including a hardware trigger to the coasting state at null current): For forward acceleration: (1) == upper-left and lower-right ON (drive). (2) == lower-left and upper-right-ON (regen). (3) == all switches OFF (coast) For forward deceleration: (1) == lower-left and lower-right ON (brake). (2) == upper-left and lower-right ON (regen). (3) == all switches OFF (coast). I have also been pondering how to surmount the current measurement problem for an empirical terminus of charging pulses, hopefully without sensing resistor. Perhaps a Hall effect sensor... Now I'll have to go and learn about that!

Great video! For a long time I was close to getting this, modeling motors as inductors and so forth but I couldn't account for inertia and a driven shaft. I never quite clicked into seeing that "back emf" is proportional to speed alone, and that it ultimately reverses the current in generator mode (I had been puzzled as to which top element should conduct for regen in an H-bridge setup). You video has fixed this for me; I am grateful! I assume that what you have analyzed here presents the means for maximum braking while capturing any available charge for regeneration. If I wanted to modulate braking torque, my presumption is some dead time should be injected after the upward pulse (upon cessation of charg flux) and before restoring the braking short via the lower switch, is this correct? Just trying to figure out where the fact that an open-circuited motor will coast fits into this whole paradigm so I can create any degree of braking up to the available maximum. I am trying to design a method to do this empirically. The target is a kids' ride-on car toy with a 6V battery and motor and the goal is to improve it just for giggles and to help get my daughter excited about this stuff. (Original setup is a pair of relays to operate the motor bidirectionally and if nothing else I want a soft-start/stop and speed modulation). I am using an H-bridge {(2x)SiRA99DP/(2x)SiRA90DP} and have ADC channels available. Can I simply and practically use a series sensing resistor and 2 kelvin-connected inputs to track the current, switching the bridge devices for regen on this basis alone? I can get 2 readings in about 50 microseconds so if those pulses are similarly short maybe I need more brute force logic like a comparator-based OR function for the high-side driver so I don't miss the cue and resume acceleration by disconnecting the battery too late? All things considered, I'm assuming that by transitioning my daughter's toy car to regenerative braking I can probably increase the longevity of a battery charge for her by at least 0.05%. I'm only integrating by eye, but it seems like very little of the invested energy can be recovered.

Can we please have a new way of writing and learning probability? Cause I'm fairly confident that no one is learning this stuff from first principles or axioms, and instead is just practicing until their black box in their head gets an intuition. We need to grow up, I think. Thanks for your video. I thought I was going crazy.

This is gold.

Your ahead of your time. Now recognized 9 years later as an artist. Thanks for the Kalman insights, its gold.

This is exactly what I was looking for. Thanks a lot for your effort!

Thank you so much for this! Stats becomes quite simple, the only problem is understanding notation - this helps a lot.

In my recommended anyone else 👍🏻

I just watched this to get some ideas about how to shake up online teaching! Do some flamboyantly bad teaching moves in a costume - that will wake the kids up!

Awesome presentation ✨

The probability is not as hard as notation. Would it be possible to include advance notations also ?

I guess there is a typo in the last equation at 17:49 (the expression for epsilon_i). The coefficient of K_i must be negative.

gold

wonderful explanation. keep up the good work

so litle energy you can generate back to the batrai?

Sweet!

where can I find the journals and scripts you use sir?

This is an underrated field.