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Power World - Transmissions Line Parameters From Table Data

12/21/2016 4:52 AM

Hi,

New to this forum, so first of all I apoligize if I missed any rules regarding how to ask questions or name the question. Please let me know if there is anything I could've improved.

Now to the question. I am doing a PowerWorld Design project where I am modelling a connection of a windpark. I have some options regarding transmissions lines aswell as some costs attached to the different types. What I am struggling with is putting in the right parameters for the transmission lines into powerworld. This is the table of t-lines I can choose from:

r_a resistance (Ohms per Conductor per Mile)x_a Inductive Reactance (ohms per conductor per mile at 1 ft spacing all currents)x'_a Shunt capactiance reactance (megaohms per conductor per mile at 1 ft spacing)
25°C (77°F) Small currents50°C (122°F) Current Approx. 75% Capacity
Rook0,14800,16880,41400,0950
Crow0,13200,14820,40700,0932
Condor0,11900,13780,40100,0917
Cardinal0,09820,11280,39000,0890

PowerWorld lets me put in the following parameters:

Series Reistance (R)

Series Reactance (X)

Shunt Charging (B)

Shunt Conductance (G)

My first take was to only use r_s for 75% as series resistance since I am designing the modell to hold for "worst-case scenario", that is when currents are high. For the reactance I am more confused, do I need to add them to make the Pi-equivalent?

So to sum up, my question is: How do I translate the parameters given in the table to the parameters to use as input in PowerWorld?

Thanks in advance,

Alex

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Anonymous Poster #1
#1

Re: Power World - Transmissions line parameters from Table data

12/21/2016 5:03 AM

There was once a movie about this: "Bird on a Wire".

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#2

Re: Power World - Transmissions line parameters from Table data

12/21/2016 5:07 AM

Welcome to CR4.

Its a good question and I am pretty sure if there is someone with experience in Powerworld you get an answer.

I have none but I had a quick look and there seem to be a handful tutorials available.

Like this one.

Have you looked at those?

Good luck.

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#3
In reply to #2

Re: Power World - Transmissions line parameters from Table data

12/21/2016 5:36 AM

Yes, looked at a few, including that one, but didn't find a satisfying answer for the transmission line parameters.

Thanks for your reply.

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Re: Power World - Transmissions Line Parameters From Table Data

12/21/2016 11:13 AM

Bridgekeeper: What... is the impedance of an unladen swallow?

King Arthur: What do you mean? An African or European swallow?

Bridgekeeper: Huh? I... I don't know that.

[he is thrown over] Auuuuuuuugh!

Sir Bedevere: How do know so much about swallows?

King Arthur: Well, you have to know these things when you're a king, you know.

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#5

Re: Power World - Transmissions Line Parameters From Table Data

12/21/2016 11:21 AM

..."The series resistance relies basically on the physical composition of the conductor at a given temperature. The series inductance and shunt capacitance are produced by the presence of magnetic and electric fields around the conductors, and depend on their geometrical arrangement. The shunt conductance is due to leakage currents flowing across insulators and air. As leakage current is considerably small compared to nominal current, it is usually neglected, and therefore, shunt conductance is normally not considered for the transmission line modeling."...

It's all explained here....

http://www.unioviedo.es/pcasielles/uploads/proyectantes/cosas_lineas.pdf

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#6

Re: Power World - Transmissions Line Parameters From Table Data

12/21/2016 11:44 AM

First of all, welcome! You don't have be crazy to join us, by the way. We train you!

Does your conductor resistance take into account skin effect? For aluminum conductors at 60 Hz the skin depth is about 10.5 mm (~11.6 mm @ 50 Hz). This means that for a 1 1/2" (38.1 mm) diameter transmission line only about 2/3 of the conductor's cross section is carrying the (bulk of the) current, more at 50 Hz, but both increase the effective resistance.

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#7
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Re: Power World - Transmissions Line Parameters From Table Data

12/21/2016 4:58 PM

Isn't PowerWorld supposed to take this into account?

I think OP should add up the impedances, and consider how many strands are needed, right? Probably multiplying by 1.5 is a good design practice if he wants a reliable TL.

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Re: Power World - Transmissions Line Parameters From Table Data

12/21/2016 5:15 PM

I dunno about PowerWorld, but I know RealWorld does.

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Re: Power World - Transmissions Line Parameters From Table Data

12/27/2016 9:24 AM

LOL, I have to provide you a GA for that one! I think we will have many good conversations in the future.

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#9

Re: Power World - Transmissions Line Parameters From Table Data

12/21/2016 5:26 PM

You have to introduce the per unit parameter. At first you have to choose the base voltage and the base apparent power Sbase [MVA]

Let's say you voltage is 138 kV [VL_L] and the Sbase=100 MVA . Then Zbase=138^2/100=190.44

Let's say the transmission line length is 100 miles.

Let’s take Rseries[Rook]=0.1688*100=16.88 ohm

So you have to put series R[p.u.]=16.88/190.44=0.088637.

By the way, usually the full capacity current will rise the conductor temperature to 75-80oC -the skin effect and proximity effect depend on temperature also, so take it from a manufacturer table as a.c. 75oC.

The reactance depends on transmission line details as distance between phases and the number of conductor per bunch and number and distance to the parallel line on the same tower.

See-for instance:

http://www.unioviedo.es/pcasielles/uploads/proyectantes/cosas_lineas.pdf

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#10

Re: Power World - Transmissions Line Parameters From Table Data

12/21/2016 5:57 PM

You would split capacitance into two halves to make Pi-equivalent.

I would assume basic units are ohms for reactance, resistance. Make a basic series R, shunt L or C network. Make R =10, X = +/- 10. See if output amplitude = 1/√2 of input with +/- 45 degree phase angle and input current corresponding to 10√2 ohms.

Or you could work from simple shunt resistance etc versus current drawn to identify units.

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#11

Re: Power World - Transmissions Line Parameters From Table Data

12/21/2016 8:55 PM

The TL parameters that you have are simply the starting point in determining the quantities that you seek. The resistance and reactance shown account for the affect of frequency, temperature, and skin effect. Two conductors in free space with a one foot center to center spacing is chosen since reactance also depends upon the physical arrangement of the conductors.

So the question should be, "Why two conductors when we're talking about a three phase system?" That's because the modeling starts with a single phase system (hot wire and return) and gets extended to a three phase system (three conductors and a ground return) by a whole series of arcane calculations that take into account things like: the arrangement of the conductors, their actual spacing, their height above the earth (ground return), whether there is a second circuit on the same tower (proximity effect), whether there is a lightning protective conductor, if the line has any transpositions and how they are made, the soil resistivity, etc., etc.

Simplified(?) explanations and derivations can be found in the 30+/- pages of Chapter 3 in the Westinghouse T&D Reference Book; otherwise you can consult any good textbook on transmission line engineering. There you will find such interesting terms as GMR (Geometric Mean Radius) and GMD (Geometric Mean Diameter) that are essential in determining the electrical characteristics of an overhead transmission line.

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