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Machines & Drives

V/Hz Drive Operating Point Calculator

Synchronous speed, commanded voltage, and approximate torque capability for a V/Hz-controlled drive.

About this calculator

A scalar (V/Hz) drive keeps the voltage-to-frequency ratio constant below the motor's rated (base) frequency, which keeps air-gap flux roughly constant and therefore keeps full rated torque available across that entire speed range — the constant-torque region. Above base frequency, the drive can't increase voltage past its rated value, so the V/Hz ratio falls as commanded frequency rises. Flux drops proportionally, and available torque falls off approximately as the ratio of base frequency to commanded frequency — the field-weakening (constant-power) region.

This calculator takes the drive's rated voltage and frequency, the frequency you're commanding, and the motor's number of poles, and reports which region the operating point falls in, the actual V/Hz ratio and commanded voltage the drive will produce, the resulting synchronous speed, and an estimate of torque capability relative to rated. It's a quick way to check whether a process that needs high torque at high speed — extruders and some pump/fan curves being common examples — is being asked to run in a region where the motor physically can't deliver full torque.

This is the standard first-order V/Hz approximation used for sizing and process feasibility checks. It doesn't model IR-compensation (voltage boost at low frequency to overcome stator resistance drop, which real drives add automatically), doesn't account for a drive's actual current limit interacting with the field-weakening torque curve, and doesn't apply to vector (FOC) or sensorless-vector control modes, which regulate flux and torque more directly than a simple V/Hz ratio.

Assumptions

  • First-order scalar V/Hz control with no IR-compensation (low-frequency voltage boost) applied.
  • Torque capability above base frequency approximated as proportional to f_rated / f_cmd, assuming constant available current.
  • Not applicable to vector (FOC) or sensorless-vector drive control modes.

When to use this calculator

Appropriate for

  • Understanding constant-V/Hz drive operation: how flux, available torque, and the field-weakening region depend on frequency
  • Estimating the torque capability envelope of a motor on a scalar (V/Hz) drive at a given frequency
  • Teaching the base-speed and field-weakening concepts of variable-frequency operation

Not suitable for

  • Vector- or direct-torque-controlled drives, whose torque production is not governed by the simple V/Hz relationship
  • Precise thermal, harmonic-loss, or bearing-current evaluation of a specific motor-drive pairing
  • Final drive parameterization or motor selection without manufacturer curves and an application study

What this calculator does not cover

  • Ideal constant-V/Hz law — real drives add low-frequency voltage boost and slip compensation, so low-speed torque capability is optimistic here.
  • Thermal limits are ignored — a self-cooled motor cannot deliver full torque continuously at low speed without overheating.
  • The field-weakening figure is an inverse-frequency capability envelope, not a guaranteed operating point for a specific machine.
  • As with every calculator on this site: results are preliminary and educational, are not verified for any specific installation, and must be reviewed against the applicable code edition and stamped by a licensed Professional Engineer before real-world use.

Frequently asked questions

What is the field-weakening region?

It's the operating region above a drive's rated (base) frequency, where the drive can no longer raise voltage in proportion to frequency because it's already at its rated voltage limit. Flux — and therefore available torque — falls off as speed increases further.

Why does torque capability decrease above base frequency?

Torque is roughly proportional to flux, and flux is roughly proportional to V/f. Once voltage is capped at rated value, increasing frequency further reduces V/f and therefore flux and torque capability, approximately in proportion to f_rated / f_cmd.

Does this apply to a vector-controlled (FOC) drive?

No — this is the simple scalar V/Hz relationship. Field-oriented control drives regulate flux and torque-producing current directly rather than through a fixed V/Hz curve, giving different (usually better) low-speed and dynamic performance.

References

  • Bose, B., Modern Power Electronics and AC Drives, Ch. 4 — Scalar (V/f) Control
  • Chapman, S., Electric Machinery Fundamentals, 5th ed., Ch. 7 — Speed Control

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