Chapter 26: Symmetrical Polyphase Systems
Research workbench, not a finished commentary page.
This page is generated from processed source text and candidate catalogs. It exists to help researchers decide what to verify, promote, and deeply decode next.
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-26 |
| Location | lines 23781-24053 |
| Status | candidate |
| Word Count | 968 |
| Equation Candidates In Section | 0 |
| Figure Candidates In Section | 0 |
| Quote Candidates In Section | 0 |
Opening Source Excerpt
Section titled “Opening Source Excerpt”CHAPTER XXVI. SYMMETRICAL POLYPHASE SYSTEMS. 263. If all the E.M.Fs. of a polyphase system are equal in intensity, and differ from each other by the same angle of difference of phase, the system is called a symmetrical polyphase system. Hence, a symmetrical w-phase system is a system of n E.M.Fs. of equal intensity, differing from each other in phase by 1 / n of a period : *i = E sin (3 ; e2=£sm((3-^L\', en = E sin ( ft - L V* ~ - \ The next E.M.F. is again : ^ = E sin (ft — 2 TT) = E sin ft. In the polar diagram the n E.M.Fs. of the symmetrical 0-phase system are represented by n equal vectors, follow- ing each other under equal angles. Since in symbolic writing, rotation bySource-Located Theme Snippets
Section titled “Source-Located Theme Snippets”Complex quantities
Section titled “Complex quantities”... ; e2=£sm((3-^L\', en = E sin ( ft - L V* ~ - \ The next E.M.F. is again : ^ = E sin (ft — 2 TT) = E sin ft. In the polar diagram the n E.M.Fs. of the symmetrical 0-phase system are represented by n equal vectors, follow- ing each other under equal angles. Since in symbolic writing, rotation by l/« of a period, or angle 2ir/n, is represented by multiplication with : the E.M.Fs. of the symmetrical polyphase system are: SYMMETRICAL POLYPHASE SYSTEMS. 435 / 9 T- ? -rr E( cos — + / sin — = • ' n „ f 2 (n — 1) TT . . . 2 (« — 1) ^ f c ...Alternating current
Section titled “Alternating current”CHAPTER XXVI. SYMMETRICAL POLYPHASE SYSTEMS. 263. If all the E.M.Fs. of a polyphase system are equal in intensity, and differ from each other by the same angle of difference of phase, the system is called a symmetrical polyphase system. Hence, a symmetrical w-phase system is a system of n E.M.Fs. of equal intensity, differing from each other in phase by 1 / n of a period : *i = E sin (3 ; e2=£sm((3-^L\', ...Magnetism
Section titled “Magnetism”... is : tan w = — cot /8 ; hence w = /? — ^ That is, the M.M.F. produced by a symmetrical «-phase system revolves with constant intensity : SYMMETRICAL POLYPHASE SYSTEMS. 439 F= — • V25 and constant speed, in synchronism with the frequency of the system ; and, if the reluctance of the magnetic circuit is constant, the magnetism revolves with constant intensity and constant speed also, at the point acted upon symmetri- cally by the n M.M.Fs. of the w-phase system. This is a characteristic feature of the symmetrical poly- phase system. 266. In th ...Dielectricity / capacity
Section titled “Dielectricity / capacity”... etrical eight- phase system proposed for the same purpose. 265. A characteristic feature of the symmetrical »- phase system is that under certain conditions it can pro- duce a M.M.F. of constant intensity. If « equal magnetizing coils act upon a point under equal angular displacements in space, and are excited by the n E.M.Fs. of a symmetrical w-phase system, a M.M.F. of constant intensity is produced at this point, whose direction revolves synchronously with uniform velocity. Let, n' =• number of turns of each magnetizing coil. SYMMETRICAL POLYPHAS ...Chapter-Local Concept Hits
Section titled “Chapter-Local Concept Hits”| Concept Candidate | Hits In Section | Status |
|---|---|---|
| Frequency | 1 | seeded |
Chapter-Local Glossary Hits
Section titled “Chapter-Local Glossary Hits”| Term Candidate | Hits In Section | Status |
|---|---|---|
| No chapter-local term hits yet | - | - |
Equation Candidates
Section titled “Equation Candidates”| Candidate ID | OCR / PDF-Text Candidate | Source Location |
|---|---|---|
| No chapter-local candidates yet | - | - |
Figure Candidates
Section titled “Figure Candidates”| Candidate ID | OCR / PDF-Text Candidate | Source Location |
|---|---|---|
| No chapter-local candidates yet | - | - |
Hidden-Gem Quote Candidates
Section titled “Hidden-Gem Quote Candidates”| Candidate ID | Candidate Passage | Source Location |
|---|---|---|
| No chapter-local candidates yet | - | - |
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.
- Alternating current: Compare Steinmetz’s AC language with modern sinusoidal steady-state analysis, RMS quantities, phase, and phasor 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.
- Radiation / light: Compare the chapter’s radiation vocabulary with modern electromagnetic radiation, spectral frequency, wavelength, absorption, and illumination engineering.
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.
- 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
Section titled “Promotion Checklist”- Open the full source text and the scan or raw PDF.
- Verify the chapter boundary and surrounding context.
- Promote exact quotations only after checking the source image.
- Move mathematical candidates into canonical equation pages only after formula typography is corrected.
- Move diagram candidates into the diagram archive only after image extraction, crop verification, and manifest creation.
- Keep Steinmetz wording, modern translation, and ether-field interpretation in separate labeled layers.