Principles of Symmetrical Components Part 1a

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  • Опубликовано: 18 ноя 2024

Комментарии • 125

  • @Generalpac
    @Generalpac  11 месяцев назад

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  • @gabrielmoraes1185
    @gabrielmoraes1185 Год назад +1

    You've saved me my friend! Unfortunately, we do not have a good literature about that in Portuguese. It's been so helpful for electrical engineering students in Brazil. I'm pretty pretty thankful! Congrats for this!

    • @Generalpac
      @Generalpac  Год назад

      Hi Gabriel, we're thrilled to hear that our content has been helpful for you and other electrical engineering students in Brazil. It's always a great feeling to know that our work is making a positive impact in the world.
      Thank you for sharing your experience, and we wish you all the best in your studies! :)
      Regards,
      GeneralPAC by AllumiaX

  • @dumptruckmotorcade
    @dumptruckmotorcade 9 месяцев назад

    such a lightbulb moment, thank you!

  • @Generalpac
    @Generalpac  4 года назад +5

    Hey you guys, thanks for the feedback. For all our upcoming videos we won't add any music. Unfortunately, RUclips doesn't allow us to remove the music from previously uploaded videos. Thank you for your understanding.
    -GeneralPAC team

    • @SkilledCheckmates
      @SkilledCheckmates 4 года назад

      I'm prepared to make a one-off donation. Do you have a paypal link?

    • @lixiangabcd11
      @lixiangabcd11 4 года назад

      Link for one-off donation is appreciated

    • @Generalpac
      @Generalpac  3 года назад

      @@SkilledCheckmates You can provide a one-off donation by purchasing our Power System Protection Fundamental Course at gpac.link/3rTcJ9K. Your support truly makes all the difference.
      Our promise is to make the fundamental series available to everyone who cannot afford it. This promise is fueled by our community, our fans, and our sponsors. Thanks for supporting us.

    • @Generalpac
      @Generalpac  3 года назад

      @@lixiangabcd11 You can provide a one-off donation by purchasing our Power System Protection Fundamental Course at gpac.link/3rTcJ9K. Your support truly makes all the difference.
      Our promise is to make the fundamental series available to everyone who cannot afford it. This promise is fueled by our community, our fans, and our sponsors. Thanks for supporting us.

    • @deenislam1937
      @deenislam1937 Месяц назад

      If you delete the background music, it would be better. Personal opinion.

  • @gmprince100
    @gmprince100 7 лет назад +3

    Thank you so much for these amazing videos. They have helped me enormously. I am a graduate student studying Power Systems and your amazingly descriptive videos have made a huge difference for me. Thank you again and please please please keep up the good work. I would also really appreciate it if you would do a series on Fault Analysis.

  • @akbardwifortuna6500
    @akbardwifortuna6500 2 года назад

    dude i saw your videos, and it worth more than i’ve received in my 4 years study. thanks a lot!

    • @Generalpac
      @Generalpac  2 года назад

      Thank you for your appreciation. Knowing that our videos were helpful to you is indeed satisfying. :)

  • @_Hey_all_
    @_Hey_all_ 6 лет назад +2

    Brilliantly explained....thnq so very much....no one tries ti explain it in a intuitive manner but i thnq for making this video...

    • @Generalpac
      @Generalpac  5 лет назад

      Thank you for the valuable feedback! 😊 For more intuitive content join us at www.patreon.com/generalpac

  • @caldixon3142
    @caldixon3142 8 лет назад +1

    Excellent presentation for a industrial electrician to understand thanx!

  • @pushpendrahpx
    @pushpendrahpx 3 года назад +1

    Such a concise & really great explaination. Watching this, college lectures make more sense.
    One topic was missing, about Z bus Calculation, about Z bus building algorithm, Current Injection Method etc.
    But no issues I understood those topics from somewhere else, but If You'll make playlist for this also, this will help everybody.
    Thanks

    • @Generalpac
      @Generalpac  2 года назад

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  • @pavansai6745
    @pavansai6745 3 года назад +3

    Clear Cut Explanation sir
    New subscriber added to your channel from INDIA ❣️

    • @Generalpac
      @Generalpac  3 года назад

      We are glad you enjoyed the video. You might also be interested in our latest Power Systems Engineering VLOG series. Get started with a 30-Days FREE-TRIAL here: bit.ly/PSEVlog

  • @harshau4729
    @harshau4729 Год назад

    Wonderful explanation. Although there are many videos out there on the topic, most of them tries to achieve mathematical accuracy, rather than explaining the "why" / application aspect. I like the sequence of your explanation. Kudos.

    • @Generalpac
      @Generalpac  Год назад

      Thank you Harsha for your kind words. Glad to know that you liked our videos. :)

  • @LijjYonael
    @LijjYonael 6 месяцев назад

    great tutorial set!! only thing the background music was a bit loud and haunting making it a bit difficult for me to follow. other than that, thank you so much for the excellent course.

  • @rodolfolozano2115
    @rodolfolozano2115 7 лет назад +3

    Great job! Such a great video series for this concept!

  • @aletrnate24
    @aletrnate24 4 года назад +2

    yo im studying for my state exam. Thank you so much for the easy explanation.

  • @manojillangasooriya3590
    @manojillangasooriya3590 2 года назад

    love it mate. Will do your course.

    • @Generalpac
      @Generalpac  2 года назад

      Thank you :) You can have a look at our courses here: www.allumiax.com/power-system-courses

  • @hitn00
    @hitn00 8 лет назад +2

    I'm eagerly looking forward to your next videos and hope to see it asap.

  • @devdutt073
    @devdutt073 8 лет назад +1

    Hi..what about remaining series..eagerly waiting for them..please post asap.

  • @Arijit_VU3ICT
    @Arijit_VU3ICT 4 года назад

    Very good... Need details explanation of different electrical machine..

  • @tmengistu1778
    @tmengistu1778 5 лет назад +1

    Very well explained sir!!

    • @Generalpac
      @Generalpac  5 лет назад

      Thank you for the appreciation! 😊 Stay tuned for more!

  • @allanspymanlapig1314
    @allanspymanlapig1314 6 лет назад +2

    I have watch all the videos related to symmetrical components. To appreciate it more, do you have another set of videos on how can i apply it on actual electrical system design where the only given is utility available fault current and system impedances. Even a book or technical paper will be much appreciated. Thank you and hope to hear from you soon.

    • @Generalpac
      @Generalpac  6 лет назад

      We are working on this series now and hope to release it soon!

    • @Generalpac
      @Generalpac  5 лет назад

      Hey there! We have started a new series which is the Fault Analysis using Waveforms. It is basically the practical implementation of the symmetrical components and faults. Check it out at: www.patreon.com/posts/24990064

  • @ganpathji
    @ganpathji 8 лет назад +1

    Oh man ! Enjoyed learning., Simple and sharp lecture, god bless you...keep going

  • @shazrizvi4343
    @shazrizvi4343 Год назад

    Awesome explanation 👍

  • @shazrizvi4343
    @shazrizvi4343 5 лет назад +1

    Awesome 👍 but please kindly lower the music 🙏

  • @shazrizvi4343
    @shazrizvi4343 5 лет назад +1

    awesome video 👍👌

  • @wy911
    @wy911 9 лет назад +2

    Can you please make a video on distance relays, specially quadrilateral ones?

    • @Generalpac
      @Generalpac  8 лет назад

      +wy911 Soon my friend! Please visit generalpac.com/ to keep updated! Thanks!

  • @jitendradubey3682
    @jitendradubey3682 5 лет назад +1

    Very useful

  • @sabriilmak6001
    @sabriilmak6001 3 года назад +1

    3 SEMESTER I tried to understand symmetrical components and I still don't get it. I just use the formula to answer exam. But, after watched this video I understand why we need symmetrical components. thanks a lot.

    • @Generalpac
      @Generalpac  3 года назад

      Hey Sabri, You are welcome. You might also be interested in our "Power Systems Engineering Vlog" series. Signup now and get 75% OFF: bit.ly/33dB0MM . This is a limited-time offer. We hope you take benefit and enjoy it. :)

  • @keyurmandalia5631
    @keyurmandalia5631 4 года назад +1

    Nicely explained the theory i qould recommend to my friends to visit.

    • @Generalpac
      @Generalpac  3 года назад

      Hi Keyur, as we reach 30K subscribers milestone, one lucky winner will get a FREE subscription of PSE VLOG series till the end of the year. Just Follow the steps given in the link and get a chance to avail the offer: bit.ly/PSE-Giveaway

  • @ricardoglover3449
    @ricardoglover3449 6 лет назад

    Great explanation.

  • @ronniengandwe6108
    @ronniengandwe6108 5 лет назад

    Great presentation,,,

  • @saikatsaikat5652
    @saikatsaikat5652 6 лет назад +2

    very nice!! thank you sir!!!!

    • @Generalpac
      @Generalpac  6 лет назад

      Thank you for your kind comments. Please consider subscribing to our Generalpac RUclips channel and share our videos with your friends and colleagues.
      Please become our patron on Patreon.com/Generalpac. We need your support in order to continue making high quality Power system video tutorials free for Everyone & Everywhere!

  • @billswinnea776
    @billswinnea776 6 лет назад +1

    Thank you

  • @sohailjanjua123
    @sohailjanjua123 3 года назад

    Salam . Nice vedio i am proud of you. Thanks

    • @Generalpac
      @Generalpac  3 года назад

      Glad to hear that! You might also be interested in our Power System Fundamental courses. Get started with FREE courses here: gpac.link/2GO6m4X.

  • @MrMeeseeksPiano
    @MrMeeseeksPiano 4 месяца назад

    The content really is well delivered but I found the background music to be quite distracting and unecessary tbh.

  • @deshandduniya4223
    @deshandduniya4223 7 лет назад +1

    Very nice

  • @megha7843
    @megha7843 Год назад

    Well explained ❤but the bgm is little bit disturbing

    • @Generalpac
      @Generalpac  Год назад

      Hi Megha, Thank you for the feedback. For all our upcoming videos we won't add any music. Unfortunately, RUclips doesn't allow us to remove the music from previously uploaded videos. Thank you for your understanding.
      -Team GeneralPAC by AllumiaX

  • @syed_taha_ahmed
    @syed_taha_ahmed 5 лет назад

    I would like to put a question what if the fault occurs before the distribution transformer or you can say at the sending end?

  • @rolando.caubaneta3
    @rolando.caubaneta3 3 года назад

    sharing is caring , well done

    • @Generalpac
      @Generalpac  3 года назад

      Hey Rolando, You might also be interested in our "Power Systems Engineering Vlog" series. Signup now and get 75% OFF: bit.ly/33dB0MM . This is a limited-time offer. We hope you take benefit and enjoy it. :)

  • @gametabulas
    @gametabulas 7 лет назад

    Dear sir i have a question in my mind will you please help me?
    que : I've read this line in one book related to switch gear and protection which says as follows :-
    the unbalanced loading results in circulation of negative sequence currents in the stator winding which give rise to rotating magnetic field which rotates at double the synchronous speed with respect to rotor and induces voltage double the frequency in rotor conductor.
    Can you explain this in more elaborate way.
    Thanks in advance.

  • @DhirC35
    @DhirC35 Год назад

    0:17 MANNN you can say that 100 more times........... Thanks a lot

  • @maniys
    @maniys 4 года назад

    this is soo comprihensive...
    thankss

  • @quantum-link6379
    @quantum-link6379 Год назад

    what whiteboard app do you use?

  • @sulimanshatnawi893
    @sulimanshatnawi893 5 лет назад

    LOVED YOU!

  • @jackdaniel1548
    @jackdaniel1548 4 года назад

    Best video ever

    • @Generalpac
      @Generalpac  3 года назад

      Thank you Jack. You might also be interested in our "Power Systems Engineering Vlog" series. In PSE Vlog, we will discuss all of the various power system engineering studies & AllumiaX's blog commentary. We hope you'll join us in this series and benefit from it. Signup now: bit.ly/33dB0MM

  • @ceciloduro-nyarko4647
    @ceciloduro-nyarko4647 7 лет назад

    Thank you man God bless you!!

  • @sohailjanjua123
    @sohailjanjua123 3 года назад

    Hi , I i like your lecture. Thanks

    • @Generalpac
      @Generalpac  3 года назад

      Hey Sohail, We just launched our new "Power Systems Engineering Vlog" series. Signup now and get 75% OFF: bit.ly/33dB0MM . This is a limited-time offer. We hope you take benefit and enjoy it. :)

  • @tahirusman1129
    @tahirusman1129 7 лет назад +1

    Thanx

  • @obscuresai7402
    @obscuresai7402 8 лет назад

    sir plzz i want complete description of positive,negative and zero sequence components

    • @obscuresai7402
      @obscuresai7402 8 лет назад

      iam waiting for ur rply sir..

    • @Generalpac
      @Generalpac  8 лет назад

      I'm confident your question will be answered if you watch and note each video in this series: ruclips.net/video/iLOfLIHLaqs/видео.html

  • @ChintanMeena
    @ChintanMeena 7 лет назад

    Thanks man for good work :)

  • @XPTPCREWX
    @XPTPCREWX 7 лет назад

    When you say analysis is extremely difficult to attempt to calculate unbalanced faults without symmetrical components, what do you mean? The alternative to symmetrical components would be deriving the KVL/KCL, Mesh/Node equations for the 3 phase network. This doesn't sound "extremely difficult" as much as it is just going to be a long and tedious process. Can you clarify? Thanks.

    • @Generalpac
      @Generalpac  7 лет назад

      After performing the KVL/KCL methods, we determine the equivalent impedance and voltage source. Then, we have to use that information in a very specific way to calculate 3LG, 1LG, 2LG, and LL faults. For 1LG, the impedance are in series. for LL faults, they are in parallel. This part wasn't known BEFORE the symmetrical components was invented in 1918. Actually, couple years after 1918, Power Engineers were able to use the symmetrical components concepts to calculate unbalance faults. Does that make sense?
      Also -- If I understand it correctly (and challenge or add to this comment) -- back in the day (before main-frame computers), Engineers from the past created a miniature version of the system using simple cables and small transformers. They were very careful of the impedance used for the mini system because it had to accurately reflect the big system. And when they injected current through the mini system, they could easily measure the current flow through each line which would reflect how currents would distribute through the actual system. Similarly, I think they had a crude way to measure unbalance fault currents. That's all I know. If I find out more, i'll comment again.

    • @XPTPCREWX
      @XPTPCREWX 7 лет назад

      Im not sure by what you mean by "determine equivalent impedance and voltage source. Then we have to use that information in a very specific way...", or "This part wasn't known BEFORE the symmetrical components was invented in 1918". The way I see it, to calculate unbalanced faults without symmetrical components, all you have to do is derive the KVL/KCL mesh/node equations with the desired fault topology, then solve the resultant system of equations for the unbalanced voltages/currents. As I initially stated, this is not "extremely difficult" as much as it is a long and tedious process.

    • @Generalpac
      @Generalpac  7 лет назад

      Using KVL/KCL mesh/node equations that you have described can be used to calculated balanced 3PH faults. But not unbalanced faults. Read this paper for more info. Figure 3, 4, and 5 shows what how the "equivalent impedance" and "voltage source" for pos, neg, and zero sequence impedance are arranged to calculate unbalanced faults (1LG, 2LG, and LL).
      cdn.selinc.com/assets/Literature/Publications/White%20Papers/LWP0010-01_TutorialSymmetrical-Pt1_AR_20130422.pdf?v=20150812-081134
      Hope this helps.

    • @XPTPCREWX
      @XPTPCREWX 7 лет назад

      Thanks for your responses. I have actually read that SEL paper in the past, its good but unfortunately its not what I would like to clarify. I feel like I have a good grasp on this subject, but the only thing that concerns me is something you said.
      I disagree with your statement about, "Using KVL/KCL mesh/node equations... can be used to calculated balanced 3PH faults. But not unbalanced faults." as it is generally incorrect. You mention that it is extremely difficult to attempt to calculate unbalanced faults without symmetrical components, and now it sounds like you are saying that its not possible at all using KVL/KCL. This is adding to the confusion about my initial inquiry.
      The way I understand it, there are a few ways to analyze unbalanced faults..... I will categorize them into two parts.
      1.) Symmetrical Components: This is just a way to break apart the unbalanced phasors, and deal with them as balanced phase sets, which makes analysis much easier since we are dealing with per-phase equivalent circuits as you have mentioned (pos, neg, zero). With these symmetrical phase sets and their respective impedance networks, any circuit analysis techniques/methods may THEN be applied, such as KVL/KCL Mesh/Node equations, source transforms, thevenin/norton transforms, lumped/reduction of elements etc.... Note: Depending on the fault topology under consideration, the impedance network is manipulated/arranged accordingly to calculate the unbalanced faults. The sum of symmetrical components gives the resultant unbalanced conditions. This is very convenient.
      2.) Non-Symmetrical Components: This is directly applying brute force circuit analysis techniques/methods such as KVL/KCL Mesh/Node equations, source transforms, thevenin/norton transforms, lumped/reduction of elements etc.... to the THREE-PHASE topology (not per phase equivalent circuits) with the desired fault in-place - whether it be 1LG, 2LG, LL, etc.... Eventually, you will have a characteristic set of mesh/node equations that, once solved for, will give the resultant unbalanced phase conditions for the particular 1LG, 2LG, LL fault. This analysis of unbalanced faults is more tedious, and requires a new set of equations for each type of fault. Its not extremely difficult, and therefore it IS possible to analyze unbalanced faults without symmetrical components. It may or may not be convenient.

    • @Generalpac
      @Generalpac  7 лет назад

      My apologies for the confusion. You raise a good question and like you, I don't have all the answers... but I am curious! I also want to learn how unbalanced faults were calculated BEFORE the introduction to symmetrical components. I know for sure that we can use "KVL/KCL Mesh/Node equations, source transforms, thevenin/norton transforms, lumped/reduction of elements etc" to calculate 3PH faults. However, i'm not confident about using these techniques to calculate UNBALANCE faults. I hear you... this is where we disagree. Your carefully written thoughts and explanation is much appreciated! It helped me understand where you were coming from! So thank you for that!
      With that given said, I'll do some digging. When I learn something new, I'll post it here :) Also, if you come across a good article / book / standard that explains this concept in more detail, please do comment.

  • @pd7480
    @pd7480 9 лет назад +2

    excellent

  • @aayushgodara8594
    @aayushgodara8594 7 лет назад +2

    What is the sense of background music in this video?

    • @Generalpac
      @Generalpac  7 лет назад +2

      +Aayush Godara we are considering removing the background music on future tutorials as we have received mixed reviews about it.

  • @deshandduniya4223
    @deshandduniya4223 7 лет назад

    Good job

  • @chemesallioua1485
    @chemesallioua1485 5 лет назад +1

    1-that music is annoying.
    2-Excellently explained
    3-Thank you!

    • @Generalpac
      @Generalpac  5 лет назад +1

      Thank you for the valuable feedback! 😊 We have removed the background music in our latest videos. Check them out at www.patreon.com/generalpac

    • @chemesallioua1485
      @chemesallioua1485 5 лет назад

      @@Generalpac thank you!

  • @mortezaa306
    @mortezaa306 4 года назад

    thanks for excellent tutorial.
    I have problem with calculating negative current sequence of a delta svc, I'm reading a paper related to this topic and the formula of negative sequence do not make sense to me, anyone can help?

    • @Generalpac
      @Generalpac  4 года назад

      Hi Morteza, calculating negative sequence current is highly dependent on the application in question. The way it was presented in this video was for a very particular application (ABC Phase Sequence, CCW Rotation, etc). You'll need to look carefully with the application in question and adjust accordingly. I hope his helps.
      Morteza, we request that you become our donor on Patreon.com/generalPAC to get exclusive behind the scene content, voting rights, webinars, Q/A sessions, and more perk. The reality is very simple; we need your financial support to continue making awesome video tutorial. So become our patron and we can’t wait to meet you the other side :)

  • @50Hz
    @50Hz 9 лет назад +1

    Top video

  • @russell2952
    @russell2952 2 года назад

    It's comPOnent, with the emphasis on PO, rather than COMponent as you're saying it.

    • @Generalpac
      @Generalpac  2 года назад

      Hi Russell, can you please elaborate?

    • @russell2952
      @russell2952 2 года назад

      @@Generalpac Just how you're saying the word. You're putting the stress on the first syllable when it's normally on the second.

  • @elhafzali9754
    @elhafzali9754 7 лет назад

    vrei good excellent

  • @abelnanez02
    @abelnanez02 9 лет назад +1

    where can I find part 1b?

    • @Generalpac
      @Generalpac  9 лет назад +1

      In development :)

    • @Generalpac
      @Generalpac  9 лет назад

      +abel nanez signup on our mailing list at generalpac.com to get notified when the latest video tutorials are released!

  • @ddd.ddd.dd.d
    @ddd.ddd.dd.d 6 лет назад +1

    very nice video but i havent slept in a few days and the music was very risky. every time i blink i have a +-60% chance of my eyes not opening afterwards. i still think this video will be useful in helping me get at least one mark on my mid-semester exam in 2 hours from now. please someone send help my degree is going to be the end of me

    • @Generalpac
      @Generalpac  6 лет назад

      Sorry to hear this... The intention of the music was not to make the audience fall asleep lol

    • @ddd.ddd.dd.d
      @ddd.ddd.dd.d 6 лет назад +1

      im on part 3c now im skimming over it super quickly. thanks for uploading these videos even though im very sure i will have to repeat energy systems 244 again next year lol

    • @Generalpac
      @Generalpac  6 лет назад

      Hi, Daniel thank you for your kind comments. Now, we have removed the background music from all our latest videos. You can check out our latest series on "Fault analysis in Power Systems" on the GeneralPAC RUclips channel.

  • @harindersawhney7169
    @harindersawhney7169 9 лет назад

    good video

    • @Generalpac
      @Generalpac  8 лет назад

      +Harinder Sawhney Thank you sir! Please checkout generalpac.com/forum/ to ask specific technical questions. Thanks!

  • @winblazes4376
    @winblazes4376 8 месяцев назад

    Then didn't they calculate unbalanced faults before symmetrical component theory? It is really bothering me.

  • @germanlifestyle127
    @germanlifestyle127 4 года назад

    I love you man

    • @Generalpac
      @Generalpac  3 года назад

      Hey German, we are pleased to see that our hard work is beneficial to you. You might also be interested in our "Power Systems Engineering Vlog" series. Signup now and get 75% OFF: bit.ly/33dB0MM . This is a limited-time offer. We hope you benefit and enjoy it. :)

  • @hansgojel5327
    @hansgojel5327 4 года назад

    he sounds like Ross Geller from friends

  • @b_gumm
    @b_gumm 5 лет назад

    Why would you include music while you are talking....

  • @Generalpac
    @Generalpac  Год назад

    In Power System Protection course we will cover the requirements needed to design protective devices and the applications of these devices through a schematic diagram. Furthermore, this course will analyze the effects of all types of faults in power system along with the easy hand on calculations. To develop your strong concept on fault analysis we will discuss how faults can be identified by analyzing waveforms. Lastly, you will learn the most tedious and complex theory of symmetrical components that are found in different types of faults. This module consists of six parts, each building upon your knowledge based on previous ones. Currently, we are offering 90% discount, join us before it ends: bit.ly/Power-System-Protection

  • @nilknarf483
    @nilknarf483 5 лет назад

    I would really, really rather skip the music. I don't hear well and the music makes it harder.

  • @Generalpac
    @Generalpac  Год назад

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  • @shazrizvi4343
    @shazrizvi4343 4 года назад

    👍

    • @Generalpac
      @Generalpac  3 года назад

      Hi Shaz, you might also be interested in our "Power Systems Engineering Vlog" series. In PSE Vlog, we will discuss all of the various power system engineering studies & AllumiaX's blog commentary. We hope you'll join us in this series and benefit from it. Signup now: bit.ly/33dB0MM

  • @yasirsultani
    @yasirsultani Год назад

    Please don't add music to your videos or if you do keep it much lower volume than than your talking.

    • @Generalpac
      @Generalpac  Год назад

      Thanks for the feedback. For all our upcoming videos we won't add any music. Unfortunately, RUclips doesn't allow us to remove the music from previously uploaded videos. Thank you for your understanding.
      -GeneralPAC team

  • @calebsaheb3159
    @calebsaheb3159 2 года назад

    the background music isnt helping at all.

    • @Generalpac
      @Generalpac  2 года назад

      Hi Caleb, For all our upcoming videos we won't add any music. Unfortunately, RUclips doesn't allow us to remove the music from previously uploaded videos. Thank you for your understanding.
      -GeneralPAC team

  • @ozadrian
    @ozadrian 5 лет назад

    Would be good if I could only HEAR over the music. WHY? WHAT ARE YOU THINKING It's stupidly loud and distracting

    • @Generalpac
      @Generalpac  5 лет назад

      I know I know... I was experimenting and learned my lesson as a result

  • @Generalpac
    @Generalpac  Год назад

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