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Robert H. Park

1902-1994

The American engineer whose 1929 Park transform freezes a spinning motor's three-phase currents into a steady two-axis frame, the change of viewpoint that makes modern field-oriented motor control possible.

Portrait of Robert H. Park.

Robert H. Park was born in 1902 in Strasbourg, where his father, the sociologist Robert E. Park, was studying. Raised in Massachusetts, he earned his electrical engineering degree at MIT in 1923, then went to the Royal Institute of Technology in Stockholm to deepen his command of operational calculus, the mathematical machinery he would soon put to spectacular use. He then joined General Electric, the same company where Edith Clarke worked on related problems.

At GE in 1929 he published his landmark paper, the two-reaction theory of synchronous machines. In a survey of the most influential power engineering papers of the entire twentieth century, it ranked second. The reason is the Park transform. An AC motor's currents and voltages are constantly rotating in time, which makes the equations of the machine hard to work with. Park's transformation mathematically rides along with the rotor, projecting the three phase quantities onto a set of axes (called direct and quadrature, or d-q) that spin with the machine. In that rotating frame, quantities that were oscillating sinusoids become steady constants.

That single change of viewpoint turns an intimidating, time-varying problem into something far more tractable. It built on the alpha-beta idea from Clarke's work and extended it into the rotating reference frame, and the combined Clarke-Park sequence is now the standard front end of motor analysis. Park himself was a prolific inventor well beyond machines: he developed naval mines at the Naval Ordnance Laboratory during World War II, worked across mechanical, chemical, and physics problems, and generated 64 US patents over his career.

Park's transform is the heart of how a microcontroller actually drives a brushless motor. In field-oriented control, the firmware applies the Clarke and then the Park transform to the measured phase currents, lands in the d-q frame where torque-producing and flux-producing currents are cleanly separated, runs simple control loops there, then transforms back to drive the phases. Without Park's rotating-frame trick, the smooth, efficient, precise control inside every modern drone ESC, EV inverter, and robot joint would be far harder to achieve.

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