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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