Delta why transform
The animation uses absolute location keyframes, not delta keyframes. You can convert absolute transforms to delta transforms by Spacebar and search for delta. This is like actually keyframing the delta transforms. Now when you move the duplicated object to point C it will not snap back but move 5 units from its current location along the X axis.
Duplicate again and again and each duplicate will move 5 units along the X axis from wherever its current location is. Thanks for this post. Ive been trying for months, even remodelling and animating the whole thing I made so i could duplicate it to another location. Heaps of times i have done this for everything I have created so far. Each sub-circuit has one active current source and two suppressed sources.
You end up with a set of three simultaneous equations for the resistance between each pair of terminals,. The specific operations you use on the equations are,. The same kind of cancellation happens,. Wikipedia has a similar derivation , with equally mind-numbing algebra. This derivation converts resistance to conductance. Now build an imaginary experimental setup.
Connect three voltage sources like this,. With this experimental setup we can set the voltages and measure the currents. That means they are interchangeable. This experimental setup is a clever way to let us invoke Superposition. To suppress a voltage source replace it with a short. This is our system of three equations. The rest of the algebra is the same.
Do you want to convert this conductance form back to resistance? We should end up with the same equation as the all-algebra derivation. Go to work on the denominator. These circuits are rare except in power engineering where they come up more often. You can always look them up. Hi Will, Thank you for your derivation, it does help me a lot to understand these transformations. However, I still have some curiosity or skepticism regarding superposition argument that being used here.
All derivation methods above developed from the step of equating resistance between nodes Rxy, Rxz, Ryz of 2 configurations Y-delta.
How exactly you use superposition principle to justify that? For reference, I already read your article about superposition, linearity, and its application on simple circuit i. Would you kindle explain that to me? Thank you in advance. Regards - Rahmat. Rahmat - Good question, and I appreciate your skepticism.
It will take me another week or so to edit, create circuit diagrams, and publish. The equivalent resistance measured between any two nodes has to be the same. Identify the three corresponding terminals on each network as A, B, and C. Identify the resistors on the Delta network:. Resistor between terminals A and B as R ab. Resistor between terminals A and C as R ac. Resistor between terminals B and C as R bc. Identify the resistors on the Y network:.
Resistor connected to terminal A as R a. Resistor connected to terminal B as R b. Resistor connected to terminal C as R c. For Delta to Y transformation, substitute the Delta network resistor values into equations 1, 2, and 3 to obtain the Y network resistor values.
For Y to Delta transformation, substitute the Y network resistor values into equations 4, 5, and 6 to obtain the Delta network resistor values. Convert the Delta connected resistors shown in figure 2 above to a Y network. Then convert back again to prove the formula. For Delta to Y network conversion:. Equation 1,. Equation 2,. Equation 3,. Converting back from Y to Delta:. Equation 4,.
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