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Homework Statement
Homework Equations
The Attempt at a Solution
a) the question is to transform star to delta ?
The question asks you to find a single Δ-connected load that is equivalent to total of the two loads shown.M P said:a) the question is to transform star to delta ?
attempt:gneill said:The question asks you to find a single Δ-connected load that is equivalent to total of the two loads shown.
We won't confirm or deny a guess. You'll have to show how you got there.M P said:attempt:
90+90j for single delta ?
Can you justify adding them? How do the voltage sources "see" them when you combine them?M P said:I was not guessing I just used the T to π converter supplied with course and added result to another ZΔ =(45+j45) doubling them given 90+90j
gneill said:Can you justify adding them? How do the voltage sources "see" them when you combine them?
Can you elaborate?M P said:attempt: ZΔ x ZΔ /ZΔ+ZΔ and then x3 ?
I have Y and Δ from the start. I transform Y to Δ and obtain 2 x Δ with ZΔ = 45 + j45 and to get single Δ after your hints I thought I need to combine each 2 impedances in parallel so ZΔ x ZΔ /ZΔ+ZΔ and I need to do that 3x ?gneill said:Can you elaborate?
gneill said:Can you elaborate?
Okay, that is correct. But it is important that you can see why the individual impedances are in parallel by considering the circuit diagram. If you can't see it, be sure to ask.M P said:I have Y and Δ from the start. I transform Y to Δ and obtain 2 x Δ with ZΔ = 45 + j45 and to get single Δ after your hints I thought I need to combine each 2 impedances in parallel so ZΔ x ZΔ /ZΔ+ZΔ and I need to do that 3x ?
gneill said:Okay, that is correct. But it is important that you can see why the individual impedances are in parallel by considering the circuit diagram. If you can't see it, be sure to ask.
How are we to interpret your coded messages? A few words of explanation and justification would help.M P said:So similar to b) with 2 x Y at 15+j15 and ZYx ZY/ ZY+ZY
Okay, what leads you conclude that you can combine the Y's in that fashion? I'm not saying it's incorrect for this very special case, but you should be able to justify it. That way you won't inadvertently make the error of trying to do the same thing when the scenario is different and combining them in this fashion would be incorrect.M P said:Sorry. after Δ to Y transformation I have 15+j15 for each impedance 2xY and then combine each impedance ZYx ZY/ ZY+ZY as in a)
What do you mean by "add 0 into it"?M P said:now I am thinking what happens when I add 0 to it? I wonder if you have any hints...:)
gneill said:What do you mean by "add 0 into it"?
The diagram alone doesn't explain why you can combine the like-labeled impedances in parallel. Note that none of those pairs shares two nodes... So you need to make a special case deduction about the nature of the central nodes of each Y...
With a Δ load you have the voltage across each of the individual load impedances. The voltage and impedance are sufficient to calculate the power.M P said:regarding d) I am not sure how to get PF? Any hints or webs I can catch up on it? thank you in advance..
Star Delta Transformation is a method used to simplify and analyze complex electrical networks. It involves converting a circuit with a star (or Y) configuration to an equivalent delta (or Δ) configuration, or vice versa.
Star Delta Transformation is used to make calculations and analysis of electrical circuits easier and more efficient. It allows for the conversion of a circuit with mixed resistive and reactive elements to an equivalent circuit with only resistive elements, making it easier to apply Ohm's Law and other circuit laws.
Star Delta Transformation is applicable to circuits with three branches and a common point, where one branch is connected between each pair of elements. This type of circuit is commonly found in three-phase electrical systems.
To perform Star Delta Transformation, the values of resistors and impedances in the star configuration are first identified. Then, using the transformation equations, these values are converted to an equivalent delta configuration. The same process can be reversed to convert a delta configuration to a star configuration.
The main advantage of using Star Delta Transformation is that it simplifies circuit analysis and calculations, making it easier to determine voltage, current, and power in a circuit. It also allows for the reduction of complex circuits to simpler ones, making it easier to troubleshoot and identify potential issues.