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  2. Kirchhoff's circuit laws - Wikipedia

    en.wikipedia.org/wiki/Kirchhoff's_circuit_laws

    The current entering any junction is equal to the current leaving that junction. i 2 + i 3 = i 1 + i 4. This law, also called Kirchhoff's first law, or Kirchhoff's junction rule, states that, for any node (junction) in an electrical circuit, the sum of currents flowing into that node is equal to the sum of currents flowing out of that node; or equivalently:

  3. Nodal analysis - Wikipedia

    en.wikipedia.org/wiki/Nodal_analysis

    Kirchhoff's current law is the basis of nodal analysis. In electric circuits analysis, nodal analysis, node-voltage analysis, or the branch current method is a method of determining the voltage (potential difference) between "nodes" (points where elements or branches connect) in an electrical circuit in terms of the branch currents.

  4. Kirchhoff's laws - Wikipedia

    en.wikipedia.org/wiki/Kirchhoff's_laws

    Kirchhoff's laws, named after Gustav Kirchhoff, may refer to: Kirchhoff's circuit laws in electrical engineering; Kirchhoff's law of thermal radiation; Kirchhoff equations in fluid dynamics; Kirchhoff's three laws of spectroscopy; Kirchhoff's law of thermochemistry; Kirchhoff's theorem about the number of spanning trees in a graph

  5. Duality (electrical circuits) - Wikipedia

    en.wikipedia.org/wiki/Duality_(electrical_circuits)

    Toggle Examples subsection. 2.1 Constitutive relations. 2.2 Voltage division — current division. ... Kirchhoff's current law – Kirchhoff's voltage law. KVL and KCL;

  6. Harmonic balance - Wikipedia

    en.wikipedia.org/wiki/Harmonic_balance

    The name "harmonic balance" is descriptive of the method, which starts with Kirchhoff's Current Law written in the frequency domain and a chosen number of harmonics. A sinusoidal signal applied to a nonlinear component in a system will generate harmonics of the fundamental frequency. Effectively the method assumes a linear combination of ...

  7. Unit commitment problem in electrical power production

    en.wikipedia.org/wiki/Unit_Commitment_Problem_in...

    The unit commitment problem (UC) in electrical power production is a large family of mathematical optimization problems where the production of a set of electrical generators is coordinated in order to achieve some common target, usually either matching the energy demand at minimum cost or maximizing revenue from electricity production.

  8. Mesh analysis - Wikipedia

    en.wikipedia.org/wiki/Mesh_analysis

    Solving for mesh currents instead of directly applying Kirchhoff's current law and Kirchhoff's voltage law can greatly reduce the amount of calculation required. This is because there are fewer mesh currents than there are physical branch currents. In figure 2 for example, there are six branch currents but only three mesh currents.

  9. Tellegen's theorem - Wikipedia

    en.wikipedia.org/wiki/Tellegen's_theorem

    The Tellegen theorem is applicable to a multitude of network systems. The basic assumptions for the systems are the conservation of flow of extensive quantities (Kirchhoff's current law, KCL) and the uniqueness of the potentials at the network nodes (Kirchhoff's voltage law, KVL).