Chapter 35: Balanced Symmetrical Polyphase Systems
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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-35 |
| Location | lines 37453-37957 |
| Status | candidate |
| Word Count | 2178 |
| Equation Candidates In Section | 0 |
| Figure Candidates In Section | 0 |
| Quote Candidates In Section | 0 |
Opening Source Excerpt
Section titled “Opening Source Excerpt”CHAPTER XXXV BALANCED SYMMETRICAL POLYPHASE SYSTEMS 303. In most applications of polyphase systems the system is a balanced symmetrical system, or as nearly balanced as possible. That is, it consists of n equal e.m.fs. displaced in phase from each other by - period, and producing equal currents of equal phase displacement against their e.m.fs. In such systems, each e.m.f. and its current can be considered separately as constituting a single-phase system, that is, the polyphase system can be resolved into n equal single-phase systems, each of which consists of one conductor of the polyphase system, with zero impedance as return circuit. Hereby the investigation of the polyphase system resolves itself into that of its constituent single-phase system. So, for instance, the polyphase system shown in Fig. 208, at balanced load, can be considered as consistingSource-Located Theme Snippets
Section titled “Source-Located Theme Snippets”Impedance / reactance
Section titled “Impedance / reactance”... .m.fs. In such systems, each e.m.f. and its current can be considered separately as constituting a single-phase system, that is, the polyphase system can be resolved into n equal single-phase systems, each of which consists of one conductor of the polyphase system, with zero impedance as return circuit. Hereby the investigation of the polyphase system resolves itself into that of its constituent single-phase system. So, for instance, the polyphase system shown in Fig. 208, at balanced load, can be considered as consisting of the equal single- phase syst ...Magnetism
Section titled “Magnetism”... he line, Z = ^ +j| = 26 + 44johms. Choosing the voltage at the receiving end as zero vector, e = 46,100 volts, at 90 per cent, power-factor and therefore 43.6 per cent, induc- tance factor, the current is represented by 7 = 80 (0.9 - 0.436 j) =72-35 j. ^ Or. ii fi = permeability, k = dielectric constant of the medium sur- rounding the conductor, it is hence, V [^ I = \W or. C = (4) 452 ALTERNATING-CURRENT PHENOMENA This gives: Voltage at receiver circuit, e = 46,100 volts; current in receiver circuit, Z = 72 — 35 j amp. ; impeda ...Dielectricity / capacity
Section titled “Dielectricity / capacity”... HASE SYSTEMS 303. In most applications of polyphase systems the system is a balanced symmetrical system, or as nearly balanced as possible. That is, it consists of n equal e.m.fs. displaced in phase from each other by - period, and producing equal currents of equal phase displacement against their e.m.fs. In such systems, each e.m.f. and its current can be considered separately as constituting a single-phase system, that is, the polyphase system can be resolved into n equal single-phase systems, each of which consists of one conductor of the polyphase sy ...Waves / transmission lines
Section titled “Waves / transmission lines”... tem are star, or (in a three- phase system) Y quantities, it usually is more convenient to reduce all quantities to Y connection, and use one of the F-cir- cuits as the equivalent single-phase circuit. 304. As an example may be considered the calculation of a long-distance transmission line, delivering 10,000 kw., three-phase power at 60 cycles, 80,000 volts and 90 per cent, power-factor at 100 miles from the generating station, with approximately 10 per cent, loss of power in the transmission line, and with the line conductors arranged in a triangle 6 ft. dist ...Chapter-Local Concept Hits
Section titled “Chapter-Local Concept Hits”| Concept Candidate | Hits In Section | Status |
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| Frequency | 3 | seeded |
| Dielectric constant | 1 | seeded |
| Light | 1 | seeded |
| Magnetic permeability | 1 | seeded |
| Wave length | 1 | seeded |
Chapter-Local Glossary Hits
Section titled “Chapter-Local Glossary Hits”| Term Candidate | Hits In Section | Status |
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| wave length | 1 | seeded |
Equation Candidates
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Modern Engineering Reading Prompts
Section titled “Modern Engineering Reading Prompts”- Impedance / reactance: Translate historical opposition terms into modern impedance, admittance, conductance, susceptance, and complex-plane notation.
- Magnetism: Track flux, reluctance, permeability, magnetizing force, and loss language against modern magnetic-circuit terminology.
- Dielectricity / capacity: Check whether the passage treats capacity, condensers, displacement, or dielectric stress as field storage rather than only circuit algebra.
- Waves / transmission lines: Map Steinmetz’s wave and line language onto modern distributed constants, propagation velocity, standing waves, and reflections.
- 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”- Magnetism: Centrifugal/divergent magnetic-field readings are interpretive overlays, not automatic historical claims.
- 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.
- Waves / transmission lines: Standing/traveling wave passages may support richer field interpretations; the page keeps those readings separate from verified Steinmetz wording.
Promotion Checklist
Section titled “Promotion Checklist”- Open the full source text and the scan or raw PDF.
- Verify the chapter boundary and surrounding context.
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- Move mathematical candidates into canonical equation pages only after formula typography is corrected.
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