Skip to content

Apparatus Section 16: Synchronous Machines: Higher Frequency Cross Currents Between Synchronous Machines

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.

FieldValue
SourceTheoretical Elements of Electrical Engineering
Year1915
Section IDtheoretical-elements-electrical-engineering-section-37
Locationlines 10124-10189
Statuscandidate
Word Count538
Equation Candidates In Section0
Figure Candidates In Section0
Quote Candidates In Section0
XVI. Higher Frequency Cross Currents between Synchronous Machines 30. If several synchronous machines of different wave shapes are connected into the same circuit, cross currents exist between the machines of frequencies which are odd multiples of the circuit frequency, that is, higher harmonics thereof. The machines may be two or more generators, in the same or in different stations, of wave shapes containing higher harmonics of different order, intensity or phase, or synchronous motors or converters of wave shapes different from that of the system to which they are connected. The intensity of these cross currents is the difference of the corresponding harmonics of the machines divided by the impe- dance between the machines. This impedance includes the self- inductive reactance of the machine armatures. The reactance obviously is that at the frequency of the
XVI. Higher Frequency Cross Currents between Synchronous Machines 30. If several synchronous machines of different wave shapes are connected into the same circuit, cross currents exist between the machines of frequencies which are odd multiples of the circuit f ...
... ters of wave shapes different from that of the system to which they are connected. The intensity of these cross currents is the difference of the corresponding harmonics of the machines divided by the impe- dance between the machines. This impedance includes the self- inductive reactance of the machine armatures. The reactance obviously is that at the frequency of the harmonic, that is, if x = reactance at fundamental frequency, it is nx for the nth harmonic. In most cases these cro ...
XVI. Higher Frequency Cross Currents between Synchronous Machines 30. If several synchronous machines of different wave shapes are connected into the same circuit, cross currents exist between the machines of frequencies which are odd multiples of the circuit frequency, that is, higher harmonics thereof. The machines may be two or more generators, in the sam ...
... onic is low, that is, the voltage nearly a sine wave, and with machines of massed armature winding, as uni- tooth alternators, the reactance is high. These cross currents thus usually are noticeable only at no load, and when adjusting the field excitation of the machines for minimum current. Thus in a synchronous motor or converter, at no load, the minimum current, reached by adjusting the field, while small compared with full-load current, may be several times larger than the min ...
Concept CandidateHits In SectionStatus
Frequency6seeded
Ether1seeded
Term CandidateHits In SectionStatus
ether1seeded
Candidate IDOCR / PDF-Text CandidateSource Location
No chapter-local candidates yet--
Candidate IDOCR / PDF-Text CandidateSource Location
No chapter-local candidates yet--
Candidate IDCandidate PassageSource Location
No chapter-local candidates yet--
  • Radiation / light: Compare the chapter’s radiation vocabulary with modern electromagnetic radiation, spectral frequency, wavelength, absorption, and illumination engineering.
  • 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.
  • Field language: Read for whether field language is mechanical, geometrical, causal, descriptive, or simply a convenient engineering model.
  • Ether references: Verify exact wording before drawing conclusions. Ether language must be separated from later interpretive systems.
  • Radiation / light: Radiation and wave language can invite ether-field comparison, but source wording, modern radiation theory, and speculative synthesis must stay separated.
  • Waves / transmission lines: Standing/traveling wave passages may support richer field interpretations; the page keeps those readings separate from verified Steinmetz wording.
  • 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.
  • Ether references: If Steinmetz mentions ether, quote only the verified source words first; any broader ether-field synthesis belongs in a labeled interpretive layer.
  1. Open the full source text and the scan or raw PDF.
  2. Verify the chapter boundary and surrounding context.
  3. Promote exact quotations only after checking the source image.
  4. Move mathematical candidates into canonical equation pages only after formula typography is corrected.
  5. Move diagram candidates into the diagram archive only after image extraction, crop verification, and manifest creation.
  6. Keep Steinmetz wording, modern translation, and ether-field interpretation in separate labeled layers.