Automation Glossary • 1x Amplitude and Phase Vector

What Is a 1x Amplitude and Phase Vector?

Merobix Engineering • • 7 min read

Most vibration alarms watch a single amplitude and fire when it gets too big, but amplitude alone throws away half the story. The running-speed vibration is better described as a vector: an amplitude paired with a phase angle referenced to the keyphasor. That 1x vector is the most powerful single diagnostic in rotating machinery, because its direction as well as its size carries information, and a change in the vector reveals unbalance, thermal bow, and cracked shafts earlier than an overall level ever could. This guide explains what the vector is, why it beats a bare amplitude, and how acceptance-region monitoring around a baseline catches change early.

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1x Amplitude and Phase Vector in one line: A 1x amplitude and phase vector is the vibration at exactly the running speed of the machine, expressed not just as a size but as a size and direction, where the phase angle is measured relative to the keyphasor once-per-turn reference. Because it captures both how much the shaft moves at running speed and where in the rotation the peak occurs, it behaves as a vector that can be tracked over time. That makes it far more sensitive to change than an amplitude-only reading.

The synchronous component expressed as a vector

Running-speed vibration, the component at exactly one times the shaft's rotational frequency, is often called 1x or synchronous vibration, and it is the dominant response of most well-behaved rotors. What sets the vector view apart is that it does not stop at the amplitude of that component. It also records the phase, the angle between the keyphasor pulse and the peak of the running-speed vibration, which pins down where in each revolution the shaft is at its extreme. Amplitude plus phase together form a vector, conventionally drawn as a point at a given distance and angle, or written as a magnitude at so many degrees.

The phase reference is essential and comes from the keyphasor. Because phase is defined relative to the once-per-turn mark, the same machine measured without a keyphasor can only report amplitude, while with a keyphasor it reports the full vector. That reference is what lets two measurements taken at different times be compared not just in size but in direction, so you can say the vector has moved rather than merely grown or shrunk. A vector that changes direction is telling you something an amplitude trend is blind to.

It is worth being precise that the 1x vector is a filtered quantity: it is the running-speed component extracted from the overall vibration, not the total vibration. A machine can have a large overall level made up of many frequencies, while its 1x vector is modest, or the reverse. Isolating the synchronous component is what makes the vector such a clean diagnostic, because it strips away everything except the response tied directly to shaft rotation, which is where unbalance and several other important faults show themselves.

Why the vector beats amplitude for diagnosis

Unbalance is the textbook case for why the vector matters. A rotor with unbalance responds at running speed with a vibration whose phase is fixed by the angular location of the heavy spot, so the 1x vector points in a characteristic direction and holds steady while the machine is healthy. If mass is thrown, a blade erodes, or fouling builds up asymmetrically, both the amplitude and the phase of the vector shift together, and that combined move is a clearer, earlier signature of changing unbalance than a wobble in amplitude alone. The direction of the shift can even hint at where on the rotor the change occurred.

Other serious faults reveal themselves specifically through vector change. A thermal bow, where the rotor bends as it heats unevenly, shows up as a 1x vector that migrates as the machine warms, a pattern that is obvious in the vector but easy to miss in amplitude. A developing shaft crack is one of the most dangerous conditions in turbomachinery, and one of its recognized warning signs is a slow, progressive change in the 1x vector over time as the crack alters the shaft's stiffness. Watching the vector, not just the level, is what gives a chance of catching these before failure.

The general principle is that amplitude answers how much and the vector answers how much and in which direction, and the direction is often where the diagnosis lives. Two machines can share the same amplitude while their vectors point completely differently, and a single machine can hold a constant amplitude while its vector rotates because two effects are partly canceling. Any diagnosis that relies only on amplitude is discarding the phase information that distinguishes these situations, which is why vector monitoring is considered the more powerful approach for synchronous faults.

Acceptance-region monitoring and the SCADA historian

The most effective way to use the vector for early warning is acceptance-region monitoring, which watches the whole vector rather than a single threshold. A healthy machine establishes a baseline 1x vector, and a region is drawn around that baseline in the vector plane. As long as the current vector stays inside the region, the machine is behaving as it always has; when the vector drifts outside the region, something has changed even if the amplitude has not crossed a conventional alarm. Because the region is two-dimensional, it catches a change in direction that a one-dimensional amplitude alarm would completely miss.

This kind of monitoring is a natural fit for a cloud SCADA or machinery historian, because its whole value lies in the trend of the vector over time against a stored baseline. Merobix can log the 1x amplitude and phase from each measurement point as a vector, so the historian holds not just how big the running-speed vibration is but where it points, revolution after revolution. A vector that begins to migrate from its established baseline raises attention for a reliability engineer while the overall level may still look ordinary, which is exactly the early-warning behavior the vector is prized for.

Logging the vector rather than only the amplitude also makes remote diagnosis far richer. An engineer reviewing a machine from another site can see whether the 1x vector has moved and in which direction, which immediately narrows the likely cause, distinguishing a steadily growing unbalance from a warming thermal bow from the creeping change that raises suspicion of a crack. Keeping the vector in the historian alongside the ordinary trends means the acceptance-region view and the overall-level alarms work together: the level protects against gross events, and the vector catches the subtle, directional changes long before they become gross.

Frequently Asked Questions

What does the phase in a 1x vector actually measure?

The phase is the angle between the keyphasor once-per-turn pulse and the peak of the running-speed vibration, so it tells you where in each shaft revolution the vibration reaches its extreme. It requires a keyphasor reference, because phase only has meaning relative to a fixed angular mark on the shaft. Together with the amplitude, the phase turns the running-speed vibration into a vector that has both a size and a direction, which is what makes it so diagnostically powerful.

Why is the 1x vector better than an overall vibration level for spotting unbalance?

An overall level only tells you how much total vibration is present, mixing all frequencies and reporting a single size. The 1x vector isolates the running-speed component and adds phase, so it captures both the size and the direction of the synchronous response where unbalance lives. When unbalance changes, both the amplitude and phase of the vector move together, giving an earlier and clearer signature than an amplitude wobble buried in an overall reading.

What is acceptance-region monitoring of a 1x vector?

Acceptance-region monitoring establishes a baseline 1x vector for a healthy machine and draws a region around it in the vector plane. As long as the current vector stays inside that region the machine is behaving normally, and when it drifts outside, something has changed even if the amplitude alone has not crossed a threshold. Because the region is two-dimensional, it catches a change in the vector's direction that a simple amplitude alarm would miss, giving earlier warning.

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