Chapter 27: Balanced And Unbalanced Polyphase Systems
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Source Metadata
Section titled “Source Metadata”| Field | Value |
|---|---|
| Source | Theory and Calculation of Alternating Current Phenomena |
| Year | 1900 |
| Section ID | theory-calculation-alternating-current-phenomena-1900-chapter-27 |
| Location | lines 24054-24488 |
| Status | candidate |
| Word Count | 1619 |
| Equation Candidates In Section | 0 |
| Figure Candidates In Section | 0 |
| Quote Candidates In Section | 0 |
Opening Source Excerpt
Section titled “Opening Source Excerpt”CHAPTER XXVII. BALANCED AND UNBALANCED POLYPHASE SYSTEMS. 267. If an alternating E.M.F. : e = E V2 sin (3, produces a current : * = 7V2sin (/? — a), where u> is the angle of lag, the power is : p = ei = 2 £Ssin ft sin (ft — S) = £S(cos a — cos (2 £ — a)), and the average value of power : Substituting this, the instantaneous value of power is found as : Hence the power, or the flow of energy, in an ordinary single-phase alternating-current circuit is fluctuating, and varies with twice the frequency of E.M.F. and current, unlike the power of a continuous-current circuit, which is constant : /-** If the angle of lag £ = 0 it is : p = P (1 — cos 2 0)Source-Located Theme Snippets
Section titled “Source-Located Theme Snippets”Alternating current
Section titled “Alternating current”... is the angle of lag, the power is : p = ei = 2 £Ssin ft sin (ft — S) = £S(cos a — cos (2 £ — a)), and the average value of power : Substituting this, the instantaneous value of power is found as : Hence the power, or the flow of energy, in an ordinary single-phase alternating-current circuit is fluctuating, and varies with twice the frequency of E.M.F. and current, unlike the power of a continuous-current circuit, which is constant : /-** If the angle of lag £ = 0 it is : p = P (1 — cos 2 0) ; hence the flow of power varies between zero and 2 Pt ...Waves / transmission lines
Section titled “Waves / transmission lines”... and 2 Pt where P is the average flow of energy or the effective power of the circuit. BALANCED POLYPHASE SYSTEMS. 441 If the current lags or leads the E.M.F. by angle £ the power varies between and cos u> that is, becomes negative for a certain part of each half- wave. That is, for a time during each half-wave, energy flows back into the generator, while during the other part of the half-wave the generator sends out energy, and the difference between both is the effective power of the circuit. If £ = 90°, it is : O rt , " p > that ...Dielectricity / capacity
Section titled “Dielectricity / capacity”... s periodically, as in the single-phase sys- tem ; and the ratio of the minimum value to the maximum value of power is called the balance factor of the system. 442 ALTERNATING-CURRENT PHENOMENA. Hence in a single-phase system on non-inductive circuit, that is, at no-phase displacement, the balance factor is zero ; and it is negative in a single-phase system with lagging or leading current, and becomes = — 1, if the phase displace- ment is 90° — that is, the circuit is wattless. 269. Obviously, in a polyphase system the balance of the system is a functio ...Radiation / light
Section titled “Radiation / light”... = £S(cos a — cos (2 £ — a)), and the average value of power : Substituting this, the instantaneous value of power is found as : Hence the power, or the flow of energy, in an ordinary single-phase alternating-current circuit is fluctuating, and varies with twice the frequency of E.M.F. and current, unlike the power of a continuous-current circuit, which is constant : /-** If the angle of lag £ = 0 it is : p = P (1 — cos 2 0) ; hence the flow of power varies between zero and 2 Pt where P is the average flow of energy or the effective power ...Chapter-Local Concept Hits
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Modern Engineering Reading Prompts
Section titled “Modern Engineering Reading Prompts”- Alternating current: Compare Steinmetz’s AC language with modern sinusoidal steady-state analysis, RMS quantities, phase, and phasor notation.
- Waves / transmission lines: Map Steinmetz’s wave and line language onto modern distributed constants, propagation velocity, standing waves, and reflections.
- Dielectricity / capacity: Check whether the passage treats capacity, condensers, displacement, or dielectric stress as field storage rather than only circuit algebra.
- Radiation / light: Compare the chapter’s radiation vocabulary with modern electromagnetic radiation, spectral frequency, wavelength, absorption, and illumination engineering.
- Complex quantities: Track how Steinmetz preserves geometric rotation and quadrature while translating the same operation into symbolic form.
Ether-Field Interpretive Boundary
Section titled “Ether-Field Interpretive Boundary”- Waves / transmission lines: Standing/traveling wave passages may support richer field interpretations; the page keeps those readings separate from verified Steinmetz wording.
- Dielectricity / capacity: A Wheeler-style reading may emphasize dielectric compression, field stress, and stored potential, but this page treats that as interpretation unless Steinmetz explicitly says it.
- Radiation / light: Radiation and wave language can invite ether-field comparison, but source wording, modern radiation theory, and speculative synthesis must stay separated.
Promotion Checklist
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