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Transposition (transmission lines)

Transposition (transmission lines) is a physics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Transposition (transmission lines) rather than just read about it. In short: Transposition is the periodic swapping of positions of the conductors of a transmission line, in order to reduce crosstalk and otherwise improve transmission. In telecommunications this applies to balanced pairs whilst in power transmission lines three conductors are periodically transposed.

Transposition (transmission lines) — main illustration
Transposition (transmission lines) — illustration

Key takeaways

  • Transposition (transmission lines) belongs to physics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Transposition (transmission lines) to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Transposition (transmission lines) from memory before moving on to harder problems.

Reference excerpt

Transposition is the periodic swapping of positions of the conductors of a transmission line, in order to reduce crosstalk and otherwise improve transmission. In telecommunications this applies to balanced pairs whilst in power transmission lines three conductors are periodically transposed. For cables, the swapping is gradual and continuous; that is the two or three conductors are twisted around each other. For communication cables, this is called twisted pair. For overhead power lines or open pair communication lines, the conductors are exchanged at pylons, for example at transposition towers or at utility poles, respectively. The mutual influence of electrical conductors is reduced by transposition. Transposition also equalizes their impedance relative to the ground, thus avoiding one-sided loads in three-phase electric power systems. Transposing is an effective measure for the reduction of inductively linked normal mode interferences.

Power lines Conductors are transposed in overhead power lines to reduce transmission losses. Unlike in cables, continuous transposition is impractical, so it is done at a specialized transposition tower. A transposing structure may be a standard structure with special cross arms or maybe a dead-end structure. The transposing is necessary as there is capacitance between conductors, as well as between conductors and ground. This is typically not symmetrical across phases. By transposing, the overall capacitance for the whole line is approximately balanced. Transposing also reduce effects to communication circuits. A transposing scheme is a pattern by which the conductors of overhead power lines are transposed at transposing structures. To ensure balanced capacitance of a three-phase line, each of the three conductors must hang once at each position of the overhead line. For longer powerlines without branches, wires are transposed according to a fixed transposing scheme, at regular intervals. At closely branched grids and where several electric circuits share a route (in particular when the lines operate at different voltages) on the same pylons the outside unbalance of the line, which is caused by the other electric circuits, dominates. In these cases, one finds large deviations from the transposing schemes. For example, in some such transpositions, only two of the three conductors on the pylons change their place. Also, transpositions on pylons near power substations are used to get an optimal arrangement of the feeding system without crossing of conductors. As the mutual influence of electric circuits can change after new lines are installed or old lines dismantled, certain transpositions may disappear or be added after new construction in electricity mains. In the case of a twisted line the individual conductors of an electric circuit swap places, either in their whole course (at cables) or at certain points (at overhead lines). The mutual influence of electrical conductors is reduced by transposing. The unbalance of the line, which can lead to one-sided loads in three-phase systems, is also reduced. Transposing of overhead lines is usually realized at so-called transposing pylons. Transposing is an effective measure for the reduction of inductively linked normal mode interferences.

Modern power lines are normally not transposed on the go as the difference in the inductance of the phases are negligibly small due to asymmetrical spacing, However, intermediate switching stations, where the transposition takes place, are implemented whenever it is necessary. It cannot be neglected.

Telecommunication In communication cables, the transposition is used to reduce coupling between circuits in the same cable. The principal measure is the pitch or lay length, the distance over which the pairs of a circuit are twisted. By twisting, the wires become longer than the cable. The stranding factor indicates the relationship of single wire length to cable length; it amounts to with communication cables about 1.02 to 1.04. In open wire lines used for long-distance (trunk or toll) telephone circuits, transposition was used for reducing cross-talk. Originally used to transmit a single telephone call per pair, two pairs were commonly used to carry three calls with a phantom circuit configuration. With the invention of carrier systems, one pair of over-wire could carry 24 analogue toll circuits using two 12-circuit carrier systems. Overhead trunk lines were rare in Europe and the German term for transposition “Drehkreuzachse” remained a mystery at the Bletchley Park codebreaking centre until late in World War II: General Fellgiebel of the Army Signals Service and Heinz Guderian developed a landline system for newly occupied territories to carry multiple telephone and telegraph or teleprinter channels. Overhead lines were common in larger and less densely populated countries like Australia, New Zealand, and the western United States.

Types of stranding In practice, the following types of stranding are used most frequently:

Pair stranding: Two single wires are stranded to twisted pair transmission line. Three-stranding: Three single wires are stranded to a tripartite group. Four-stranding: Two tightly twisted pairs may be loosely twisted together, or: Star quad twisting: Four single wires maintain the same relation to each other in the quad, whereby the members of a twisted pair face each other diagonally.

Transmission technique Different strandings have different transmission characteristics. Capacitance of a stranding is one of the differences. For example, in star quad twisting the two conductors of a quadruple run parallel over the entire cable length. Capacitance between the conductors is thus substantially higher than with Dieselhorst Martin (DHM) stranding in which the situation of the conductors to each other in the cable changes repeatedly. Because of the smaller work capacitance of the DHM stranding, it is possible to form additional electric circuits with the help of a phantom circuit. Since the phantom transducers are turned on to in the middle of the master transducers, the currents of the phantom circuit on the two coming Rome circles compensate themselves.

References

External links "Paekakariki railway station. Shows on left main overhead telephone line north of Wellington, New Zealand with trunk (top) and local (bottom) circuits c1942". NZETC. 1942.

Illustrations

Transposition (transmission lines): Three basic patterns, with variants, with the fractional length shown above each segment
Three basic patterns, with variants, with the fractional length shown above each segment
Transposition (transmission lines): Pylon 206 of powerline Hoheneck-Herbertingen near Rübgarten
Pylon 206 of powerline Hoheneck-Herbertingen near Rübgarten

Worked examples

Example 1 — a first encounter with Transposition (transmission lines)

Start with the simplest possible case. Write down what Transposition (transmission lines) claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In physics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Transposition (transmission lines) before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Transposition (transmission lines) ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Transposition (transmission lines)

In research
Transposition (transmission lines) appears in physics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Transposition (transmission lines) in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Transposition (transmission lines) is common in secondary-school and first-year university syllabi. It links to neighbouring topics Communication circuits, Elasticity (physics), Electric power transmission, so understanding it makes those chapters shorter.
In everyday life
Look for Transposition (transmission lines) outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Transposition (transmission lines) in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Transposition (transmission lines) means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Transposition (transmission lines) out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Transposition (transmission lines) in simple terms?

Transposition is the periodic swapping of positions of the conductors of a transmission line, in order to reduce crosstalk and otherwise improve transmission. In telecommunications this applies to balanced pairs whilst in power transmission lines three conductors are periodically transposed.

Why does Transposition (transmission lines) matter?

Because it connects several physics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Transposition (transmission lines)?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Transposition (transmission lines).

Tags

  • Communication circuits
  • Elasticity (physics)
  • Electric power transmission
  • Telecommunication theory

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