Teoirim na Nádúrachta

Is príomhphrionsabal inaingineoireacht leictreach í an teoirim chumhachta go mbíonn aighneacht córais líneach chuig aon ionchur in ann a léiriú mar suim na n-aighneachta do ionchur aonair. I bhfad eile, is cothroime é aighneacht córais líneach do chombhainte de ionchuir leis an suim de na h-aighneachta a gheobhfaí ó gach ionchur ar leith.

Léiríonn an teoirim chumhachta go:

“In aon líonra bilatúil líneach le foinse iolracha, is cothroime é an aighneacht (voltas agus siúl) i ngach eilimint leis an suim de gach aighneacht a dhéanann gach foinse ag obair neamhspleách. Ag éalú ón gcóras foinsí eile.”

Cén fáth a thagtar uirthi mar “cumhacht?”

Tá cumhacht tar éis ón nGaeilge Latínach

Super – Os cionn

Position – Áit

Forfhorchéim an Teoirim Chumhachta:

Mathaiticiúil, is féidir an teoirim chumhachta a léiriú mar:

y(t) = ∑[y_i(t)]

áit:

y(t) is the output of the system

y_i(t) is the output of the system to the ith input

∑ denotes the sum of all the y_i(t) values

The superposition theorem applies to any linear system, which is a system that satisfies the principle of superposition. A linear system is one in which the output is directly proportional to the input and the system’s response to a combination of inputs is equal to the sum of the responses to each input individually.

The superposition theorem is a powerful tool for analyzing and designing linear systems. It allows engineers to simplify complex systems by breaking them down into simpler components that can be analyzed individually and then combined using the theorem. The theorem is widely used in the analysis of electrical circuits, mechanical systems, and other types of systems that exhibit linear behavior.

Modhanna don Teoirim Chumhachta:

Step-1: Identify a number of network-accessible independent sources.

Step-2: Select a single source and delete all others. If a source is dependent on the network, it cannot be eliminated. It remains unchanged for the duration of the calculation.

If you have determined that all potential energy sources are optimal, you do not need to consider internal resistance. And directly short-circuit the source of voltage and the source of current. However, if internal resistance of sources is specified, internal resistance must be replaced.

Step-3: Now, just one independent energy source is present in a circuit. It is necessary to discover a solution using a single energy source in the circuit.

Step-4: Repeat steps 2 and 3 for all available energy sources on the network. If there are three independent sources, these steps must be performed three times. And each time users receive a valuable response.

Step-5: Now, combine all responses acquired from individual sources using algebraic addition. And will receive the final response value for a specific network element. If it is need to find a response for other elements, users must repeat these procedures for each element.

Conas a úsáidtear an teoirim chumhachta?

Úsáidtear é i ndathú aon chúirt go Thevenin nó Norton a chomhionann. Tá an teoirim i bhfeidhm

• Linear [time-varying (or) time-invariant] networks composed of independent sources,

• Linear dependent sources,

• Linear passive elements (resistors, inductors, & capacitors), and

• Linear transformers.

Cén uair a úsáidtear an teoirim chumhachta?

Chun an teoirim chumhachta a chur i bhfeidhm, caithfidh an líonra cúrsaí seo a chomhlíonadh.

• Caithfidh comhbhoga a bheith sa chúirt. Is é sin, go bhfuil an siúl trí reisistóirí cothroimeach leis an voltas, agus go bhfuil an ceangal flux in induicteoirí cothroimeach leis an siúl. Mar sin, is comhbhoga é reisistóir, induicteoir, agus capaciteoir. Ach, ní comhbhoga diod agus tranaistoir.

• Caithfidh na comhbhoga den chúirt a bheith ina eilimintí bilatúla. Is é sin, nach bhfuil méide an tsíúil cothroimeach le polacht an fhuinnse.

• Cabhraíonn an teoirim chumhachta linn siúl trí eilimint a aimsiú, titim voltais an reisistóra, agus voltas an nóid. Ach, ní féidir linn fuinneamh caillte ag an eilimint a aimsiú.

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