It would be a cost function that we minimize at time intervals where we look back in time on how the power consumption has been. So let's say that we minimize each second based on measurments obtained over the last 10 minutes say.
Thank you Magoo. My question wasn't meant to be a "What is 2 + 2" question and probably seemed quite vague.. Bystander, let me elaborate some more.
One or more generator (they generate using fossil fuels) sets are supplying power to a bus where there are components that can both consume and...
I'm currently working on combining energy storage systems like flywheels and batteries to balance consumption/regeneration. I've been looking at using an optimal control scheme so that a cost function can be tailored to our wishes.
I'm curious about what other people in this field have been...
The model should approximate a basic 3-phase passive rectifier, half-wave I think, so that a fully loaded (rated power draw) rectifier so that the measured DC-voltage will show something like VDC = 1.35*VRMS, compared to the unloaded case where VDC = √2*VRMS
Hi, I'm trying to form an expression for a rectifier supplying a DC link with current, without actually rectifying a 3-phase input. Usage of the model is really only concerned with the RMS values and the active power drawn from the AC supply.
The DC link is just a capacitor so that:
dVDC/dt =...
I am simulating an ODE where the differential function is a function of sampled data points and are having trouble obtaining data in between sampled points (for the step computations of RK4). The first thing that I tried was to linearly interpolate the data, but that introduced large...
Ok, I see now that it is a somewhat stupid problem statement, of course one has to develop the EoM for spatial wrench. One can easily be confused when one reads:
Let f ∈ R3 be the force applied to the object at the
point p and let m ∈ R3 be the applied moment. These are
combined into the...
I am currently working on a robotic manipulation problem and need to form a model for how an object responds. I start by writing up the equations of motion for the body, the motion is then constrained by an additional constraint equation. However, I am new to the notions of twists and wrenches...
That was my conclusion as well, in the end.. Now that I realize that the theorem actually have two versions, the infintesimal one and the configuration-to-configuration version, the theorem seems pretty obvious to me. Following the different proofs out there comes naturally. I thank you both for...
Question 1:
Does a line through the object have to lie on the axis of translation and rotation? Or can the trans./rot. axis lie outside the object (relative to an inertial frame)?
Question 2:
Which coordinate systems do I have to consider in order to understand the notions of twists, wrenches...
I believe I am thinking of the translational displacement as along, say z-axis towards the ground and then expect the rotation to be around this axis (for Chasles' theorem to be corrrect), and of course that is not always the case... But, is there some other line that can represent the...
I am currently working on my masters and happened to stumble upon screw theory, of which I have no previous experience with. Fundemental to screw theory is Chasles' theorem or Mozzi's theorem that states that any rigid body motion can be produced by a translation along a line and rotation about...
Here are some math:
Force from object
\begin{equation}
F_{ob} = k_s (x_{ob,0} - x_{ob})
\end{equation}
\begin{equation}
\ddot{x}_{ob} = ?
\end{equation}
where $x_{ob,0}$: Equilibrium width, $x_{ob}$: Actual width. I just need to be pointed in the right direction. Regarding FEM methods, I just...