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Electric Machines

Course Overview

  • Institution: MIT
  • Course code: 6.685
  • Track: Power Systems and Electric Machines
  • Tier: S
  • Role: Mainline
  • Level: Not standardized by provider (use prerequisites)
  • Last reviewed: 2026-07-28

MIT's Electric Machines provides a rigorous graduate electric-machines spine through notes, practice, and exams, under a prerequisite of prior electric-power study.

Why choose this course

Mainline course. A particularly complete and well-structured option for this track. Review note: S/A

Before you start

  • Recommended foundation: Circuit Analysis
  • Recommended foundation: Electromagnetic Fields and Waves
  • Recommended foundation: Engineering Mathematics

Verifiable learning outcomes

  • Explain the core models in Power Systems and Electric Machines, including their assumptions and limits
  • Solve representative derivations and problems, checking units, limiting cases, or numerical results

Workload and pacing

11 weeks at 9 hours/week. This maintainer planning estimate is derived from course role and the density of public practice and labs; it is not a provider workload promise. Pilot two weeks while logging instruction, practice, lab, and review time, then adjust the remaining plan when actual effort differs by more than 25%.

Safety level

Standard study. No physical lab is recorded; follow ordinary electrical, ergonomic, data, and equipment-use precautions.

Course Resources

Software, hardware, and cost

Software

  • Maintainer-suggested open-source/free verification path: pandapower, OpenDSS, Python 3, Jupyter, and GNU Octave
  • The resource inventory does not list public code coverage; the tools above are only a maintainer-suggested independent check, not a provider requirement

Hardware

  • The resource inventory does not list public lab coverage; default to simulation and do not purchase an institution-supervised three-phase/machine trainer, isolation and protection, measurement interface, and emergency shutdown. If extending the course independently, first verify provider scope and reassess safety

Cost note

The current maintainer path assumes no dedicated hardware purchase and prefers open-source/free software; this is not a provider requirement. If the provider separately lists commercial software, components, equipment, or institutional access, costs vary by provider, region, and institution.

Public resource coverage

Resource type Completeness
Video No public material
Notes Complete
Practice Complete
Labs No public material
Exams Complete
Code No public material

Resources and access

Resource Access License Status Verified
Course home Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Assignments Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Problem set 1 (PDF) Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Solutions to problem set 1 (PDF) Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Problem set 2 (PDF) Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Problem set 3 (PDF) Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Problem set 4 (PDF) Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Problem set 5 (PDF) Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Problem set 6 (PDF) Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Problem set 7 (PDF) Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Problem set 8 (PDF) Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Problem set 9 (PDF) Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Problem set 10 (PDF) Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Problem set 11 (PDF) Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Syllabus Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Exams Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Calendar Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Course Notes Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Instructor Insights Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28

“Listed by official page” means the link was discovered on a successfully fetched official source on the verification date; it does not guarantee that every region or account can open the target directly. Access does not grant redistribution rights. Re-check the provider page, target link, and third-party notices before downloading, adapting, or publishing material.

Practice and Verification

Practice loop

Electric Machines · MIT 6.685: Small-Grid or Machine Operating-Boundary Study

This is a maintainer-suggested self-study project for Electric Machines · MIT 6.685, not an official course assignment. Build a compact load-flow, fault, or machine dq model for Power Systems and Electric Machines and audit convergence, thermal or current constraints, and disturbance stability.

Origin: Maintainer-suggested project

Deliverables

  • A one-line diagram or machine parameters, per-unit bases, load or torque range, and operating constraints
  • Load-flow, fault, or dynamic model, scenario generator, and constraint-check sources
  • Raw voltage, current, power or torque, and state trajectories for nominal and at least 20 disturbances
  • A report defining operating boundaries, worst bus or winding proxy, and a nonconvergent case

Verification

  • Keep nominal power-balance residual below 0.1% with explicit margin on every constraint
  • Cover no load, peak load, one element out, a fault proxy, and parameter extremes
  • Cross-check key results with a second load-flow method, analytic short-circuit value, or energy balance
  • Increase load or torque until the first voltage, thermal, or stability failure and locate the cause

Reproducibility

  • Commit network or machine data, solver, scenarios, checks, and plotting sources
  • Pin per-unit bases, solver, tolerances, time step, and data version
  • Preserve raw scenario inputs, state trajectories, convergence logs, and the generated report

Safety boundary: Simulation only — Use grid and machine simulation only; do not connect mains, generators, motors, high-voltage sources, or any high-power physical equipment.

Risks, gaps, and boundaries

This rigorous graduate course assumes a prior electric-power background.

Completion evidence

  • Weekly learning log with time, questions, corrected errors, decisions, next steps, and links to that week's reproducible artifacts
  • Theory dossier with explicit assumptions, notation, derivation, units, and boundary conditions, checked by at least one independent method
  • Simulation package with model or netlist, inputs, solver and version, parameter-sweep script, benchmark comparison, expected results, and one rerun command