Chapter 30: Quartbr-Fhase System
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Source Metadata
Section titled “Source Metadata”| Field | Value |
|---|---|
| Source | Theory and Calculation of Alternating Current Phenomena |
| Year | 1897 |
| Section ID | theory-calculation-alternating-current-phenomena-1897-chapter-30 |
| Location | lines 27501-29124 |
| Status | candidate |
| Word Count | 4474 |
| Equation Candidates In Section | 0 |
| Figure Candidates In Section | 0 |
| Quote Candidates In Section | 0 |
Opening Source Excerpt
Section titled “Opening Source Excerpt”CHAPTER XXX. QUARTBR-FHASE SYSTEM. 265. In a three-wire quarter-phase system, or quarter- phase system with common return wire of both phases, let the two outside terminals and wires be denoted by 1 and 2, the middle wire or common return by 0. It is then : £^ = E = E.M.F. between and 1 in the generator. E2 =^ J E = E.M.F. between and 2 in the generator. • Let : Ii and I2 = currents in 1 and in 2, Iq = current in 0, Z, and Za == impedances of lines 1 and 2, Zq = impedance of line 0. K, and Y^ = admittances of circuits to 1, and to 2, // and 73'= currents in circuits to 1, and to 2, ^/and ^2'= potential differences at circuit to 1, andSource-Located Theme Snippets
Section titled “Source-Located Theme Snippets”Complex quantities
Section titled “Complex quantities”... In a three-wire quarter-phase system, or quarter- phase system with common return wire of both phases, let the two outside terminals and wires be denoted by 1 and 2, the middle wire or common return by 0. It is then : £^ = E = E.M.F. between and 1 in the generator. E2 =^ J E = E.M.F. between and 2 in the generator. • Let : Ii and I2 = currents in 1 and in 2, Iq = current in 0, Z, and Za == impedances of lines 1 and 2, Zq = impedance of line 0. K, and Y^ = admittances of circuits to 1, and to 2, // and 73'= currents in circuits to 1, and t ...Impedance / reactance
Section titled “Impedance / reactance”... minals and wires be denoted by 1 and 2, the middle wire or common return by 0. It is then : £^ = E = E.M.F. between and 1 in the generator. E2 =^ J E = E.M.F. between and 2 in the generator. • Let : Ii and I2 = currents in 1 and in 2, Iq = current in 0, Z, and Za == impedances of lines 1 and 2, Zq = impedance of line 0. K, and Y^ = admittances of circuits to 1, and to 2, // and 73'= currents in circuits to 1, and to 2, ^/and ^2'= potential differences at circuit to 1, and to 2. it is then, 7, + /a + /« = ) ^ or, /o = - (A + ^2) i ^ ^ that ...Waves / transmission lines
Section titled “Waves / transmission lines”... constant maximum and minimum values, — that is, in equal time intervals repeating the same values, — is called an alternating current if the arithmetic mean value equals zero ; and is called a pulsating current if the arithmetic mean value differs from zero. Assuming the wave as a sine curve, or replacing it by the equivalent sine wave, the alternating current is charac- terized by the period or the time of one complete cyclic change, and the amplitude or the maximum value of the current. Period and amplitude are constant in the alter- nating cu ...Dielectricity / capacity
Section titled “Dielectricity / capacity”... (5> Hence, the balanced quarter-phase system with common return is unbalanced with regard to voltage and phase rela- tion, or in other words, even if in a quarter-phase system with common return both branches or phases are loaded equally, with a load of the same phase displacement, nevertheless, the system becomes unbalanced, and the two E.M.Fs. at the end of the line are neither equal in magnitude, nor in quadrature with each other. »2ee] QUARTER-PHASE SYSTEM. 397 B. One branch loaded^ one unloaded, /^\ ^= ^2 ^= ^ \ K, = 0, i; = K r, ...Chapter-Local Concept Hits
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Modern Engineering Reading Prompts
Section titled “Modern Engineering Reading Prompts”- Complex quantities: Track how Steinmetz preserves geometric rotation and quadrature while translating the same operation into symbolic form.
- Impedance / reactance: Translate historical opposition terms into modern impedance, admittance, conductance, susceptance, and complex-plane 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.
- Transients / damping: Separate the temporary term from the final steady-state term and compare with differential-equation response language.
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.
- Transients / damping: Transient collapse, impulse, and surge behavior can be compared with alternative field language, but only as a clearly marked reading.
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