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  2. Mathematics of three-phase electric power - Wikipedia

    en.wikipedia.org/wiki/Mathematics_of_three-phase...

    The plotted line represents the variation of instantaneous voltage (or current) with respect to time. This cycle repeats with a frequency that depends on the power system. In electrical engineering, three-phase electric power systems have at least three conductors carrying alternating voltages that are offset in time by one-third of the period ...

  3. Electric power transmission - Wikipedia

    en.wikipedia.org/wiki/Electric_power_transmission

    As of 2022, more than 10,000 power plant and energy storage projects were awaiting permission to connect to the US grid — 95% were zero-carbon resources. New power lines can take 10 years to plan, permit, and build. [33] Traditional power lines use a steel core surrounded by aluminum strands (Aluminium-conductor steel-reinforced cable).

  4. Telegrapher's equations - Wikipedia

    en.wikipedia.org/wiki/Telegrapher's_equations

    Equivalent circuit of an unbalanced transmission line (such as coaxial cable) where: 2/Z o is the trans-admittance of VCCS (Voltage Controlled Current Source), x is the length of transmission line, Z(s) ≡ Z o (s) is the characteristic impedance, T(s) is the propagation function, γ(s) is the propagation "constant", s ≡ j ω, and j 2 ≡ −1.

  5. Electric power - Wikipedia

    en.wikipedia.org/wiki/Electric_power

    Electric power is the rate of transfer of electrical energy within a circuit.Its SI unit is the watt, the general unit of power, defined as one joule per second.Standard prefixes apply to watts as with other SI units: thousands, millions and billions of watts are called kilowatts, megawatts and gigawatts respectively.

  6. Three utilities problem - Wikipedia

    en.wikipedia.org/wiki/Three_utilities_problem

    The lines connecting the remaining houses with the utilities divide the plane into three regions. Whichever region the deleted house is placed into, the similarly shaded utility is outside the region. By the Jordan curve theorem, a line connecting them must intersect one of the existing lines.

  7. Transmission line - Wikipedia

    en.wikipedia.org/wiki/Transmission_line

    A type of transmission line called a cage line, used for high power, low frequency applications. It functions similarly to a large coaxial cable. It functions similarly to a large coaxial cable. This example is the antenna feed line for a longwave radio transmitter in Poland , which operates at a frequency of 225 kHz and a power of 1200 kW.

  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. Power transmission - Wikipedia

    en.wikipedia.org/wiki/Power_transmission

    From the 16th century through the Industrial Revolution to the end of the 19th century, mechanical power transmission was the norm. The oldest long-distance power transmission technology involved systems of push-rods or jerker lines (stängenkunst or feldstängen) connecting waterwheels to distant mine-drainage and brine-well pumps. [1]