Chapter 31: Three-Phase System
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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-31 |
| Location | lines 25598-25903 |
| Status | candidate |
| Word Count | 528 |
| Equation Candidates In Section | 0 |
| Figure Candidates In Section | 0 |
| Quote Candidates In Section | 0 |
Opening Source Excerpt
Section titled “Opening Source Excerpt”CHAPTER XXXI. THREE-PHASE SYSTEM. 292. With equal load of the same phase displacement in all three branches, the symmetrical three-phase system offers no special features over those of three equally loaded single-phase systems, and can be treated as such ; since the mutual reactions between the three phases balance at equal distribution of load, that is, since each phase is acted upon by the preceding phase in an equal but opposite manner as by the following phase. With unequal distribution of load between the different branches, the voltages and phase differences become more or less unequal. These unbalancing effects are obviously maxi- mum, if some of the phases are fully loaded, others unloaded, Let: E — E.M.F. between branches 1 and 2 of a three-phaser. Then: « E = E.M.F. between 2 and 3, (*£=Source-Located Theme Snippets
Section titled “Source-Located Theme Snippets”Impedance / reactance
Section titled “Impedance / reactance”... se unbalancing effects are obviously maxi- mum, if some of the phases are fully loaded, others unloaded, Let: E — E.M.F. between branches 1 and 2 of a three-phaser. Then: « E = E.M.F. between 2 and 3, (*£= E.M.F. between 3 and 1, where, e= ^1= ~ - Let ZD Z2, Zs = impedances of the lines issuing from genera- tor terminals 1, 2, 3, and Yl} Y2, Ys = admittances of the consumer circuits con- nected between lines 2 and 3, 3 and 1, 1 and 2. Jf then, ID It, /8, are the currents issuing from the generator termi- nals into the lines, it is, /I + ...Dielectricity / capacity
Section titled “Dielectricity / capacity”CHAPTER XXXI. THREE-PHASE SYSTEM. 292. With equal load of the same phase displacement in all three branches, the symmetrical three-phase system offers no special features over those of three equally loaded single-phase systems, and can be treated as such ; since the mutual reactions between the three phases balance at equal distribution of load, that is, sin ...Complex quantities
Section titled “Complex quantities”... E = E.M.F. between 2 and 3, (*£= E.M.F. between 3 and 1, where, e= ^1= ~ - Let ZD Z2, Zs = impedances of the lines issuing from genera- tor terminals 1, 2, 3, and Yl} Y2, Ys = admittances of the consumer circuits con- nected between lines 2 and 3, 3 and 1, 1 and 2. Jf then, ID It, /8, are the currents issuing from the generator termi- nals into the lines, it is, /I + /2 + /3 = 0. (1) THREE-PHASE SYSTEM. 479 If //, 72', 7/ = currents flowing through the admittances Y1, F2, F3, from 2 to 3, 3 to 1, 1 to 2, it is, /! = /,'-/,', or, / ...Chapter-Local Concept Hits
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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.
- Dielectricity / capacity: Check whether the passage treats capacity, condensers, displacement, or dielectric stress as field storage rather than only circuit algebra.
- 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”- 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.
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