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  2. Network analysis (electrical circuits) - Wikipedia

    en.wikipedia.org/wiki/Network_analysis...

    Simulation-based methods for time-based network analysis solve a circuit that is posed as an initial value problem (IVP). That is, the values of the components with memories (for example, the voltages on capacitors and currents through inductors) are given at an initial point of time t 0 , and the analysis is done for the time t 0 ≤ t ≤ t f ...

  3. Mathematical methods in electronics - Wikipedia

    en.wikipedia.org/wiki/Mathematical_methods_in...

    Differential Equations: Applied to model and analyze the behavior of circuits over time. Used in the study of filters, oscillators, and transient responses of circuits. Complex Numbers and Complex Analysis: Important for circuit analysis and impedance calculations. Used in signal processing and to solve problems involving sinusoidal signals.

  4. 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:

  5. Mesh analysis - Wikipedia

    en.wikipedia.org/wiki/Mesh_analysis

    Figure 1: Essential meshes of the planar circuit labeled 1, 2, and 3. R 1, R 2, R 3, 1/sC, and sL represent the impedance of the resistors, capacitor, and inductor values in the s-domain. V s and I s are the values of the voltage source and current source, respectively. Mesh analysis (or the mesh current method) is a circuit analysis method for ...

  6. Nodal analysis - Wikipedia

    en.wikipedia.org/wiki/Nodal_analysis

    Nodal analysis is essentially a systematic application of Kirchhoff's current law (KCL) for circuit analysis. Similarly, mesh analysis is a systematic application of Kirchhoff's voltage law (KVL). Nodal analysis writes an equation at each electrical node specifying that the branch currents incident at a node must sum to zero (using KCL). The ...

  7. Power system simulation - Wikipedia

    en.wikipedia.org/wiki/Power_system_simulation

    Short circuit analysis analyzes the power flow after a fault occurs in a power network. The faults may be three-phase short circuit, one-phase grounded, two-phase short circuit, two-phase grounded, one-phase break, two-phase break or complex faults. Results of such an analysis may help determine the following: Magnitude of the fault current

  8. Power-flow study - Wikipedia

    en.wikipedia.org/wiki/Power-flow_study

    In power engineering, the power-flow study, or load-flow study, is a numerical analysis of the flow of electric power in an interconnected system. A power-flow study usually uses simplified notations such as a one-line diagram and per-unit system, and focuses on various aspects of AC power parameters, such as Voltage, voltage angles, real power and reactive power.

  9. Electronic circuit simulation - Wikipedia

    en.wikipedia.org/wiki/Electronic_circuit_simulation

    Simulation software allows for the modeling of circuit operation and is an invaluable analysis tool. Due to its highly accurate modeling capability, many colleges and universities use this type of software for the teaching of electronics technician and electronics engineering programs.