WEBVTT 00:01.330 --> 00:02.620 Hello and welcome. 00:03.070 --> 00:11.860 This is an in-depth lecture on a console, so here we will work on different values of the indictor 00:11.860 --> 00:19.330 and capacitor and try to find out the frequency and we will see if it matches with the analytical value 00:19.330 --> 00:20.260 or not. 00:20.560 --> 00:27.580 And also we will see how the error varies from our simulation set. 00:28.090 --> 00:37.990 So we will learn from this lecture that how the settings which you put on your software may influence 00:38.230 --> 00:43.540 the error which you might get from the simulation using very simple example. 00:44.020 --> 00:52.780 So let's go to the component electrical circuit and then let's change the value of the inductor. 00:52.780 --> 01:01.750 So previously we had one million rry, so let's just make it to zero point one nine. 01:02.110 --> 01:12.280 Let's take some order value and for capacitor, let's change this to, let's say, 67 nullifier. 01:12.430 --> 01:17.320 OK, these are just some random numbers, which I thought and. 01:17.380 --> 01:25.690 OK, so now if I open up study time dependent study and then if I click on compute. 01:28.970 --> 01:32.420 OK, so I have my computer solution. 01:33.600 --> 01:44.040 Now, let us use the same technique and let us find the frequency that is the resonant frequency of 01:44.040 --> 01:44.550 the circuit. 01:45.600 --> 01:49.420 So I'll zoom in and try to find the value. 01:49.830 --> 01:54.770 So this value is zero point zero two two, which is the T1. 01:55.260 --> 02:07.380 OK, so the second one, the value of the indicator was zero point one nine and capacitor was 67. 02:08.940 --> 02:16.770 And so I'll just calculate the C and end and also L.C. 02:17.710 --> 02:19.430 OK, right. 02:20.700 --> 02:29.580 And let us calculate the frequency that is the theoretical frequency and the time one is zero point 02:29.580 --> 02:30.760 zero two to. 02:32.290 --> 02:40.760 And what is due to let's zoom out a bit, D2 is around zero point four four five. 02:40.780 --> 02:42.330 So it's between these two. 02:42.940 --> 02:45.720 You can see the list somewhere here. 02:46.120 --> 02:56.560 So it's around zero point zero four four five thirty two is zero point zero four four five. 02:58.090 --> 03:08.530 And if I calculate the time so it is this and let us calculate the frequency and the error. 03:10.330 --> 03:15.330 OK, the error has increased a bit, which is zero point zero three six five zero. 03:16.660 --> 03:24.610 So the frequency from our theory is four four six zero seven and the frequency from our result is four 03:24.610 --> 03:31.750 four four four four and the error is zero point zero zero point thirty six percent, which is, well, 03:32.470 --> 03:37.990 quite decent because from simulation, any error, less than five percent is acceptable enough. 03:37.990 --> 03:39.050 So this is quite good. 03:40.150 --> 03:45.370 So what can be done now, as you can see from the plot? 03:46.180 --> 03:48.490 Let me zoom out now. 03:48.490 --> 03:53.340 If we zoom in, you see that the curve is not smooth. 03:53.770 --> 03:56.440 It is like a knife here, which is weird. 03:56.830 --> 03:59.380 So we need more data point rate to make it. 04:00.490 --> 04:07.320 Let's go to our step and in the range, just put one more system. 04:07.420 --> 04:13.210 That is we will measure at one order more than our previous method. 04:13.220 --> 04:22.210 So each step will be zero point zero zero zero one millisecond or zero point zero one microsecond. 04:23.330 --> 04:25.850 OK, and let us compute. 04:29.530 --> 04:36.310 It may take a few seconds and we have the same result, but with higher resolution because the data 04:36.310 --> 04:42.890 points are higher now, let us calculate our error from our simulation result. 04:43.270 --> 04:44.530 I will do the same step. 04:44.650 --> 04:48.300 I'll just zoom in and zoom into the curve. 04:49.000 --> 04:55.840 So this point is the highest point here, which is zero point zero two two two. 04:56.980 --> 05:00.610 So again, right here, T1 as zero. 05:01.860 --> 05:06.790 Point to zero to two, I think there is one or two. 05:06.830 --> 05:11.820 OK, so zero point two to two and let me see the value of T two. 05:13.970 --> 05:15.020 So do. 05:16.050 --> 05:26.970 Is zero point zero four four six, so to two is the zero point zero four four six. 05:28.600 --> 05:33.760 OK, and these values are saying, so I'll just drag it down. 05:34.600 --> 05:37.030 I did not change the capacitor values. 05:40.420 --> 05:41.800 I will just drag this down. 05:42.580 --> 05:46.690 OK, now let us calculate the simulation time. 05:47.940 --> 05:51.580 And the frequency and the error. 05:52.140 --> 06:02.970 Oh, wow, you can see that the error is one order and more less so this is what simulation is all about 06:03.300 --> 06:05.190 from this very simple example. 06:05.430 --> 06:14.130 You can see that when I use these two peaks in the same simulation, but with different timestamped 06:14.130 --> 06:25.290 to calculate the frequency, the resonant frequency, even the small settings in the study, uh, affect 06:25.290 --> 06:26.330 the error a lot. 06:26.760 --> 06:31.190 So this is zero point three six and this is zero point zero seven nine. 06:31.980 --> 06:35.190 So this is what is important in simulation. 06:35.400 --> 06:40.830 That is, you have to set up your simulation in such a way so as to minimize your error. 06:41.100 --> 06:49.020 Now, since this is a very simple simulation, you can increase the order of time and the competition 06:49.020 --> 06:54.300 time will be like few seconds maximum a few minutes or maximum a few hours. 06:54.630 --> 07:02.520 But when you are running complicated simulation involving Multiphasic Thermal or Chemical or any other 07:02.970 --> 07:09.750 complicated simulation, maybe structural mechanics, etc., there you can't just increase your time, 07:09.750 --> 07:17.010 your mesh or your boundary condition because it will be too heavy for your system or your computational 07:17.010 --> 07:18.390 setup to work on. 07:19.350 --> 07:27.220 So, for example, just by changing one order in your simulation, it might take from a few hours to 07:27.220 --> 07:33.720 a few months to complete a simulation because, you know, for complicated simulation, you can't just 07:33.720 --> 07:34.740 change your time. 07:34.740 --> 07:39.800 You know, you can't just randomly in this order and just check your result. 07:40.080 --> 07:48.630 So you have to be clever on setting up your simulation such that it is not computationally heavy, but 07:48.630 --> 07:49.990 it gives quite accurate. 07:49.990 --> 07:57.720 Griselle, I should explain to you once again that these two simulations were totally sane, but one 07:58.020 --> 08:03.240 has the I will just copy the time range. 08:05.210 --> 08:17.120 So this is the time in milliseconds and this is the time in millisecond, but one order less. 08:18.270 --> 08:26.640 So here the time difference was zero point zero zero one and here is one or more, even the small change 08:27.510 --> 08:30.180 makes a great change in the error calculation. 08:31.150 --> 08:38.890 I hope that you, too, are quite fascinated by these results, when I found this, rather, I was quite 08:38.890 --> 08:42.190 happy to see, OK, now these things matters a lot. 08:42.340 --> 08:49.570 So I hope that you have learned something new from this lecture and try to yourself try it with different 08:49.570 --> 08:55.330 circuits and see what are the errors you are getting from the analytical formula. 08:55.750 --> 08:57.250 And let me know. 08:57.280 --> 09:00.580 You can just messaged me and tell me what are the results you are getting. 09:00.590 --> 09:02.070 I'll be very happy to know. 09:02.080 --> 09:04.120 So thank you all for watching. 09:04.120 --> 09:08.080 And well, if you are enjoying, do you consider to read my cause? 09:08.080 --> 09:12.580 I really worked very hard to edit and construct this course. 09:13.060 --> 09:19.090 Now you need to be strong in the basics before you run your computer simulations. 09:19.090 --> 09:25.210 I know very well that this is not a very advanced course which will help you to solve your research 09:25.210 --> 09:26.170 problem or anything. 09:26.500 --> 09:33.430 But you have to understand that when you learn calculus, you have to learn to integrate basic functions 09:33.430 --> 09:35.350 so that you can solve difficult problems. 09:35.570 --> 09:39.550 So this is my goal is to help you solve easy problem. 09:39.550 --> 09:46.990 In comes also that you make your concept as clear as possible so that you can attempt to solve bigger 09:46.990 --> 09:47.590 problems. 09:48.290 --> 09:50.050 That's all I have to say. 09:50.350 --> 09:53.830 Thank you all for listening and following this course. 09:53.830 --> 09:58.420 If you have any doubt, you can just send me a text or whatever you wish. 09:58.810 --> 10:03.520 And and all the resources will be there in the course section. 10:03.520 --> 10:09.630 So you can just follow along and there will be quizzes which you can follow and test your skills. 10:10.120 --> 10:12.460 Thanks all for watching and take care.