I came across this statement in a generator manual I was reading(manufacturer Rolls Royce)
The documentation barely touches any theoretical explanation as to how this works.
I would like to ask specifically how this phenomena is achieved. If a generator's fuel output is increased, it produces...
Hello,
I have been focusing on iterators and generators and I understood a lot but still have some subtle questions...
An iterator, which is a Python object with both the __iter__ and the __next__ methods, saves its current state. Applying the next() method to an iterator gives us one item of...
I am looking for a textbook or reference book that discusses single phase generators. All I can find are books that discuss three phase generators. Any suggestions?
This is an interesting idea, with easier permitting and infrastructure advantages...
https://www.cbsnews.com/sanfrancisco/news/hydro-power-generators-central-valley-irrigation-canals/
In Problem 3.7, Ballentine says:
The unitary operator ##U(v) = exp(iv·G)## describes the instantaneous ##(t = 0)## effect of a transformation to a frame of reference moving at the velocity ##v## with respect to the original reference frame. Its effects on the velocity and position operators are...
Large power generators (for example 200 MW) are cooled by H2 in gas form. H2 temperature is +45 to +75 "C. So why hydrogen dew point is important in generator while the lowest hydrogen temperature is 45 "C? And in some Power Stations is monitored online...
Thanks, a lot
Consider the phase space of a one degree of freedom mechanical system. We can pass from one phase space coordinates to another phase space coordinates via a canonical transformation. I want to focus on 1-parameter canonical transformations,
$$(q_{0},p_{0})\rightarrow(q_{\lambda},p_{\lambda})$$...
Angular momentum is related to rotations.
Momentum is related to spatial translations.
Energy is related to temporal translations.
Is spin related to anything?
I only know the introduction to NRQM from Griffiths' book.
Hello, I am currently working on a engineering project for school and have been tasked with researching the basics of electrical theory. We are building a small, portable hydroelectric generator for the purposes of charging a cell phone or other small electrical devices. I already have the motor...
I don't know where to start. I understand that the constraint ##ad-bc=1## gives us one less parameter since ##d=1+bc/a##. So we can rewrite our original function. I know how to compute the generators of matrix groups but in this case the generators will be functions. I also know there should be...
when I was browsing wikipedia for some atomic battery information for my school project I found the thing called Direct-Charging Radioisotope Generator and when I tried to find more information about it I did not succeed. So I came here for some information about it or at least an answer why...
As the summary says we have ## f(x) = x^n - \theta \in \mathbb{Q}[x] ##. We will call the pth primitive root ## \omega ## and we denote ##[\mathbb{Q}(\omega) : \mathbb{Q}] = j##. We want to show that the Galois group is generated by ##\sigma, \tau## such that
$$ \sigma^j = \tau^p = 1...
I’m reading Weinberg’s QFT books, and stacking how to solve problem 15.4.
Weinberg says there is no simple lie algebra with just four generators, but I have no idea how to approach this problem. If the number of generators are only one or two, it can easy to say there is not such a simple lie...
I am sure axial are used in wind turbines so i will use it as my example.
Say you are using the wind turbine to generate power but its getting to windy and you want to slow down the turbine to bring it to a stop.
What i want to know is ...
If you can cut off the power that's been generated...
Hi all.
I'm new to this forum and to wind turbine technology in general, and I watched one of these one-minute videos explaining why wind turbines pitch their blades but it doesn not make sense to me. Why don't you just get a bigger generator? You'd get more energy for the same blades, same...
So, all of the generators of the Poincare group are associated with pretty well-known physical quantities. Time translation is associated with energy, space translations with momentum, rotations with angular momentum, and boosts... well, boosts are generated by the "generators of boosts". Do...
I learned that the Lorentz group is the set of rotations and boosts that satisfy the Lorentz condition ##\Lambda^T g \Lambda = g##
I recently learned that a representation is the embedding of the group element(s) in operators (usually being matrices).
Examples of Lorentz transformations are...
In Peskin and Schroeder on page 681 they write:
Now, as far as I can tell the generators of ##U(1)## are just exponents, i.e ##e^{2\pi ix}##, so how can they have a zero trace if it's just one number which never vanishes?
Perhaps I am missing something here, can anyone clear this matter to...
Hey guys,
Sorry that it's been a decent amount of time since my last posting on here. Just want to say upfront that I am extremely appreciative of all the support that you all have given me over my last three or four posts. Words cannot express it and I am more than grateful for it all. But, in...
V1 = 415cos(100πt)
V2 = 415sin(100πt)
Load Impedance = 50Ω (0.7 Pf Lag) = 35.002 + J35.705Ω
Converting V1 & V2 to RMS values and V1 to a sin value:
V1 = 415cos(100πt)
V2 = 415cos(100πt-90)
and from Asin(ωt+Φ)
V1 = 415∠0V or 415 +J0V
V2 = 415∠-90V or 0-j415 VIntially, i convert the the volage...
The only material that I used to get this information is Wikipedia: https://en.wikipedia.org/wiki/Chernobyl_disaster#Steam_turbine_tests. I don't know if that's reliable enough...
Hi All,
So i am looking to buy a petrol generator to run a 2.2KW electric motor. I was thinking of getting a 3KW model which under normal conditions this should be ok - but on start up I've been told an electrical motor draws 6 to 10 times the normal load, which is way too high for the...
I remember (long ago, in college physics) learning about electric motors and generators, specifically about the "exciter" coils in generators which did a better job than permanent magnets, because of a sort of "turbo" or force-multiplier effect.
I notice, however, that while basically ALL...
This is a two part question. I will write out the second part tomorrow.
I will be referring to pages 258-263 in Goldstein (1965) about infinitesimal transformations.
Eqn 8-66 specifies that δu=ε[u,G], where u is a scalar function and G is the generator of the transform. How do I find the...
I am having a hard time understanding what it means for momentum to be the generator of finite translation. Why would a state |x'> translate to another state |x'+l>, and just stop after a distance l? Wouldn't the state want to keep translating due to the imparted momentum Px, in order to...
elements and generators of U(14)
\begin{align*}\displaystyle
&\text{(a)the identity is } \color{red}{1} \\
&\text{(b) U(14) is the set } \color{red}{\{1,3,4,5,6,8,9,10,11,12,13\}}\\
&\text{(c) |1|}={\color{red}{1}} \text{ since }1.1 \equiv 12^1\\
&(d) |13|={\color{red}{2}}
\text{ since...
nmh{707}
$\textit{Find all generators of $\Bbb{Z}_6, \Bbb{Z}_8,$ and $\Bbb{Z}_{20}$}$
\begin707{align*}
\Bbb{Z}_6&\quad=6, \textit{ all generators of } \Bbb{Z}_6 \textit{ are of the form } k\cdot1=k.
where gcd(6,k)=1\\
&\quad \textit{ So } k=1,5 \textit{ and there are two generators of }...
Homework Statement
Let ##H = \langle S \rangle## be a subgroup of ##G = \langle T \rangle##. Prove that ##H## is normal in ##G## if and only if ##tst^{-1} \in H## for all ##s \in S## and ##t \in T \cup T^{-1}##. Here ##T^{-1}## denotes the set ##T^{-1}=\{t^{-1} \mid t\in T\}##.
Homework...
Homework Statement
Show that the subgroup of ##D_{2n}## generated by the set ##\{s, rs \}## is ##D_{2n}## itself. (i.e. show that ##\{s, rs\}## is another set of generators different than ##\{r,s\}##).
Homework EquationsThe Attempt at a Solution
It's not clear to me what exactly I need to do...
Homework Statement
Let ##H = \langle x \rangle##. Assume ##|x| = \infty##. Show that if ##H = \langle x^a \rangle## then ##a = \pm 1##
Homework EquationsThe Attempt at a Solution
Here is my attempt: Suppose that ##H = \langle x^a \rangle##. Then, for arbitrary ##b \in \mathbb{Z}##, ##x^b =...
Homework Statement
Let ##T## be the linear operator on ##F^4## represented in the standard basis by $$\begin{bmatrix}c & 0 & 0 & 0 \\ 1 & c & 0 & 0 \\ 0 & 1 & c &0 \\ 0 & 0 & 1 & c \end{bmatrix}.$$ Let ##W## be the null space of ##T-cI##.
a) Prove that ##W## is the subspace spanned by...
Homework Statement
This is just a question that i can't seem to answer while reviewing...
Is discrete log well defined when the base is not a generator?
Homework EquationsThe Attempt at a Solution
For example, ##2^3 \equiv 2^6 (\operatorname{mod} 7)##. Taking the discrete log of both sides...
I am trying to work out the weights of the adjoint representation of SU(3) by calculating the 2 Cartan
generators as follows:
I obtain the structure constants from λa and λ8 using:
[λa,λb] = ifabcλc
I get:
f312 = 1
f321 = -1
f345 = 1/2
f354 = -1/2
f367 = -1/2
f376 = 1/2
f845 = √3/2
f854 =...
Hey there,
I've recently been trying to get my head around Yang-Mills gauge theory and was just wandering: do the Pauli matrices for su(2), Gell-Mann matrices for su(3), etc. represent any important observable quantities? After all, they are Hermitian operators and act on the doublets and...
Hello,
I have a very basic question. And, admittedly, my knowledge is limited in this field.
It is about the rpm of a rotor inside a generator. I know, to be aligned with the existing grid, standard frequency (of 50Hz, Europe and 60Hz, US) will require the RPM to be 3000 and 3600 respectively...
I am looking at the generators of the Lorentz group. The literature commonly refers to the generators as
Mij, Ji and Ki and defines:
Ji = (1/2)∈ijkMjk
I am confused about the factor of (1/2) in this equation as I thought that Mij is essentially the same as Ji
This also shows up in
Λ=...
If waste CO2 is collected through a pipe from a power plant can it be used to turn a generator by increasing its pressure with a funnel?
See diagram:
I have been wondering whether this is possible as I feel it could be very useful in the energy industry.
Hello, new member here. I'm giving myself a crash course and can't find a direct answer to my query outright, so here I am:
Do A.C. generators make use of interpoles? I understand the concept of interpoles in D.C. machines, offsetting neutral plane shift; however, if we have, say, a brushless...
Homework Statement
Two 3-phase 60-hertz 35-kilovolt synchronous generators (G1 and G2) each have synchronous reactances of j9 ohms per phase with negligible armature resistance. They are connected in parallel to supply a 36-megawatt load at rated voltage and power factor of 0.90 lagging...
Hi, so I have just a small question about cyclic groups. Say I am trying to show that a group is cyclic. If I find that there is more than one element in that group that generates the whole group, is that fine? Essentially what I am asking is that can a cyclic group have more than one generator...
So I know if you move a charge in a magnetic field it induces voltage and hence a flow of charge is created which is current. ( Please correct me if I'm wrong). But that's pretty basic right. However, I'm having trouble understanding the use of split rings in the functioning of a motor. I would...
let's say you have a street legal racecar, flat front splitter with undertray going back to front tire stock undercarriage with crooked exhaust and couplings and then a badass rear difuser from the rear tire to the bumper. Let's keep this about "under the car" question. Vortex generators do some...
Hello! I am reading some Lie Algebra and at a point the author says that for a vector with 3 cartesian components ##V_i## i =1,2,3 the commutation relations with the generators of rotation are: ##[J_i,V_j]=i\epsilon_{ijk}V_k##. Can someone explain this to me? I am confused as ##V_j## is a number...
Auto-Search gives me some hints.
I did a Google for "Hydrogen Ion Generator" and got a load of hits about "Negative Hydrogen Ion Generators". They almost seem to be 'fusion specific'. Are they used because the required end result is a neutral beam of Hydrogen/Deuterium for injection into the...
For a microscale electric generator (where the driving force is a fraction of a Newton), can losses from eddy currents be significant enough to noticeably alter the rotational velocity of the rotor? Because my understanding is that the rotation is basically taken as a constant when examining the...
IN Srednicki's QFT he seems to make two different choices for normalizing the generators of lie algebras. In chapter 24 (eqn 24.5) he chooses Tr (TaTb) = 2 δab and in chapter 69 (eqn 69.8) he chooses Tr (TaTb) = (1/2) δab
Is there a reason for this? Is there any particular reason to make one...
Homework Statement
(I have dropped the hats on the ##\alpha_{n}^{u}## operators and ##L_{m}##)
##[\alpha_{n}^u, \alpha_m^v]=n\delta_{n+m}\eta^{uv}##
##L_m=\frac{1}{2}\sum\limits_{n=-\infty}^{\infty} : \alpha_{m-n}^u\alpha_{n}^v: \eta_{uv}-\delta_{m,0}##
where : denotes normal-ordered.
Show...