Chapter 37: Quarter-Phase System
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Source Metadata
Section titled “Source Metadata”| Field | Value |
|---|---|
| Source | Theory and Calculation of Alternating Current Phenomena |
| Year | 1916 |
| Section ID | theory-calculation-alternating-current-phenomena-chapter-37 |
| Location | lines 38393-40115 |
| Status | candidate |
| Word Count | 3709 |
| Equation Candidates In Section | 0 |
| Figure Candidates In Section | 0 |
| Quote Candidates In Section | 0 |
Opening Source Excerpt
Section titled “Opening Source Excerpt”CHAPTER XXXVII QUARTER-PHASE SYSTEM 310. 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, El = E = e.m.f. between 0 and 1 in the generator. Ei = jE = e.m.f. between 0 and 2 in the generator. Let 1 1 and 1 2 = currents in 1 and in 2, 7o = current in 0, Z] and Z2 = impedances of lines 1 and 2, Zo = impedance of line 0, Yi and F2 = admittances of circuits 0 to 1, and 0 to 2, /'i and /'2 = currents in circuits 0 to 1, and 0 to 2, E\ and E'2 = potentialSource-Located Theme Snippets
Section titled “Source-Located Theme Snippets”Waves / transmission lines
Section titled “Waves / transmission lines”... ual generated e.m.f., alternator, 272 Admittance, 55 of dielectric, 154 due to eddy currents, 137 to hysteresis, 129 Admittivity of dielectric circuit, 160 Air-gap in magnetic circuit, 119, 132 Ambiguity of vectors, 39 Amplitude, 6, 20 Apparent capacity of distorted wave, 386 efficiency of induction motor, 234 impedance of transformer, 201 torque efficiency of induction motor, 234 Arc causing harmonics, 353 as pulsating resistance, 352 volt-ampere characteristic, 354 wave constrtiction, 355 Armature reaction of alternator, 260, 27 ...Impedance / reactance
Section titled “Impedance / reactance”... terminals and wires be denoted by 1 and 2, the middle wire or common return by 0. It is then, El = E = e.m.f. between 0 and 1 in the generator. Ei = jE = e.m.f. between 0 and 2 in the generator. Let 1 1 and 1 2 = currents in 1 and in 2, 7o = current in 0, Z] and Z2 = impedances of lines 1 and 2, Zo = impedance of line 0, Yi and F2 = admittances of circuits 0 to 1, and 0 to 2, /'i and /'2 = currents in circuits 0 to 1, and 0 to 2, E\ and E'2 = potential differences at circuit 0 to 1, and 0 to 2. it is then, Ii -\- h -\- h = 0, or, lo = — {I ...Complex quantities
Section titled “Complex quantities”... n 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, El = E = e.m.f. between 0 and 1 in the generator. Ei = jE = e.m.f. between 0 and 2 in the generator. Let 1 1 and 1 2 = currents in 1 and in 2, 7o = current in 0, Z] and Z2 = impedances of lines 1 and 2, Zo = impedance of line 0, Yi and F2 = admittances of circuits 0 to 1, and 0 to 2, /'i and /'2 = currents in circuits 0 to 1, ...Dielectricity / capacity
Section titled “Dielectricity / capacity”... (5) Hence, the balanced quarter-phase system with common re- turn is unbalanced with regard to voltage and phase relation, 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 hne are neither equal in magnitude, nor in quadrature with each other. B. One Branch Loaded, One Unloaded Zi = Z2 = Z, Z -^• (a) Fi = 0, F2 = F, {b) Fi = Y, Y, = 0. 464 ALTERNATING-CU ...Chapter-Local Concept Hits
Section titled “Chapter-Local Concept Hits”| Concept Candidate | Hits In Section | Status |
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| Frequency | 8 | seeded |
| Radiation | 1 | seeded |
Chapter-Local Glossary Hits
Section titled “Chapter-Local Glossary Hits”| Term Candidate | Hits In Section | Status |
|---|---|---|
| counter e.m.f. | 1 | source-located candidate |
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Modern Engineering Reading Prompts
Section titled “Modern Engineering Reading Prompts”- Waves / transmission lines: Map Steinmetz’s wave and line language onto modern distributed constants, propagation velocity, standing waves, and reflections.
- Impedance / reactance: Translate historical opposition terms into modern impedance, admittance, conductance, susceptance, and complex-plane notation.
- Complex quantities: Track how Steinmetz preserves geometric rotation and quadrature while translating the same operation into symbolic form.
- Dielectricity / capacity: Check whether the passage treats capacity, condensers, displacement, or dielectric stress as field storage rather than only circuit algebra.
- Field language: Read for whether field language is mechanical, geometrical, causal, descriptive, or simply a convenient engineering model.
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.
- Field language: Field-pressure or field-gradient interpretations can be explored here only after the explicit source passage and modern engineering translation are kept distinct.
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