Slot Harmonics Means
- Slot Harmonics Means Test
- Slot Harmonics Means Meaning
- Slot Harmonics Define
- Slot Harmonics Means Free
- Slot Harmonics Means Using
Harmonics are generally classified by their name and frequency, for example, a 2 nd harmonic of the fundamental frequency at 100 Hz, and also by their sequence. Harmonic sequence refers to the phasor rotation of the harmonic voltages and currents with respect to the fundamental waveform in a balanced, 3-phase 4-wire system. What is slot harmonics? Asked by Wiki User. Wiki User Answered. 2011-12-28 09:-12-28 09:16:33. Depending on the combination of slots and poles of the machine, there are different harmonic contents and then rotor losses. By means of a simple model of the rotor losses, this paper investigates the link between the rotor losses and the combination of the slots and the poles of the fractional-slot PM machines.
Holes and cylinders are the most commonly produced forms in the modern machine shop. Usually, the diameter is the critical dimension to be measured, but when a part needs to interact with other parts, form and surface finish must also be taken into account.
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This Harmonic Analysis chart shows a range of harmonics and their amplitude.
Holes and cylinders are the most commonly produced forms in the modern machine shop. Usually, the diameter is the critical dimension to be measured, but when a part needs to interact with other parts, form and surface finish must also be taken into account. When the diameter is tight, form error can take up a significant part of the tolerance.
There are many standards that describe how form measurements are to be made. Diametral (two-point diameter) and chordal (vee block) are probably the must common standards, although they provide the least amount of real information. Form measurements such as roundness are best done with a radial method, usually using a form gage.
Form errors are a blueprint of the machining process—the cutting tool, the machine and the environment all leave their marks on the machined part. Embedded within the roundness of the part are a series of lobes which can have a large impact on how the part performs, especially when the part rotates at very high speeds.
In addition to roundness analysis, quality engineers use harmonic analysis tools to predict what a part might do under certain conditions. By decomposing the out-of-roundness trace into a collection of sinusoidal components, called harmonics, harmonic analyses can provide information about the dominant lobes found within the part.
By using harmonic analysis you can figure out what creates the lobing conditions on the part. There are three major contributors to the lobing condition.
The first harmonic is called the fundamental sinusoid. Its wavelength is the entire length of the circumference (over 360 degrees) and it measures geometry errors that repeat once per revolution. These errors tend to be the result of an eccentric error, such as placing the part off-center when it is first set up in the machine.
The second harmonic measures errors that repeat twice per revolution, so its wavelength is one half the fundamental wavelength (over 180 degrees). Second harmonic problems are often the result of an out-of-squareness condition in the machine tool, the fixture or the measurement setup.
The third harmonic measures errors that repeat three times per revolution. Its wavelength is one third of the fundamental wavelength (over 120 degrees). In the same vein, the Nth harmonic, then, is a sinusoid whose wavelength is the fundamental wavelength divided by N. Third and higher harmonics problems are often the result of workpiece clamping, a particular aspect of the manufacturing process or various sources of vibration. For example, a three-point chuck is apt to produce an odd number of lobes.
In the bearing industry, performance (lack of noise and vibration) is related to the presence and magnitude of certain lobes (harmonics).
An interesting example is the case of a marine engine manufacturer who suddenly encountered a peculiar noise from one of the bearings being supplied by its bearing supplier. The company checked records and found that testing was being done to inspect as many as 50 lobes per revolution.
However, dynamic analysis on the engine revealed that the vibration or noise had a period of roughly 120 cycles per revolution. The harmonic analysis was expanded to look for shorter wavelength errors and confirmed the presence of a 120-lobed condition. The cause was eventually tracked to some unrelated changes on the shop floor. The changes had triggered a slight increase in vibration that was just enough to cause the problem for the engine builder.
With the form equipment available today, harmonic analysis is as easy as setting up some test parameters. However, the results can be invaluable in producing better parts and better performing machines.
Most electronics engineers and technicians have a good understanding of total harmonic distortion (THD). But there are a few elusive details that come into play during THD measurements.
THD is the ratio of the sum of the powers of all harmonic components to the power of the fundamental frequency. Properly speaking, the fundamental frequency is the first harmonic, but THD discussions frequently don’t acknowledge this fact. THD considers distortion contributed by second-order and higher harmonics but not by the random frequency, broad-spectrum distortion that is known as noise. THD + noise is a separate though important metric.
Slot Harmonics Means Test
The familiar sine wave is comprised of a single frequency, while non-sinusoidal waveforms are made up of two or more sine waves that can be added together on a point-by-point basis moving along the time-domain X-axis. Breaking down a complex non-sinusoidal waveform’s sine wave components is a mathematically difficult process but became practical with the advent of the Fast Fourier Transform in the 1960s. Today, one simply imports the nonsinusoidal signal into a spectrum analyzer or, using Math Mode in an oscilloscope, presses FFT. Then, displayed on the screen in real time, is the signal at the channel input in the frequency domain.
Amplitude, in units of power (dB) rather than volts, displays on the Y-axis and frequency, rather than time, displays along the Y-axis. These are the harmonics that, added together and divided by the fundamental, make up THD.
A high THD level in power systems is harmful for the system as well as for connected equipment. Lower THD equates to lower peak currents, higher efficiency and higher power factor.
Power factor is generally thought of as determined by the phase relationship between voltage and current, in accordance with: Power Factor PF = cos θv – cos θi, where θv is the phase angle of the voltage and θi is the phase angle of the current.
While this equation, known as the displacement factor, is valid when voltage and current are sinusoidal, it does not account for THD in non-sinusoidal circuits, which are prevalent today thanks to the rise of nonlinear loads with abundant harmonics.
Loads that include power conversion equipment — such as ac-dc, dc-ac and dc-dc, or nonlinear loads such as fluorescent ballasts — create a heavy nonlinear environment in which harmonics and THD abound. Switching power supplies, now common in office and home, contribute to this mix. This loading modifies the higher-quality sinusoidal power at the utility generator terminals. (Generators do contribute some fifth-order harmonics because of magnetic flux that takes place at the stator slots in addition to non-sinusoidal flux across the air gap.)
VFDs, welders and arc furnaces also generate prodigious amounts of THD.
Because harmonic currents are at higher frequencies that the power system fundamental, they see greater impedances. The cause of this strange phenomenon is that greater amounts of higher-frequency current flow near the surface of a conductor. With less usable cross-sectional area, the effective resistance of the conductor rises, resulting in more heat. This is seen in three-phase neutral conductors and transformer windings.
When an ac motor is powered by a VFD, it gets a powerful direct dose of harmonics. This is a consequence of the high-speed switching in the VFD inverter section. Most of the ambient harmonics caused by other nonlinear loads in the same building or neighborhood are not much of a problem because they generally get suppressed when the power goes through the dc bus midway through the VFD. These outside harmonics do, however, assault the many autonomous motors that are found in the workplace.
For one thing, harmonics create flux distribution in motor air gaps, causing poor start-ups and abnormally high slip in induction motors. A serious problem in motors and generators is pulsating torque, causing losses and mechanical oscillations with harmful heat.
Here’s the greatest problem in motors when there is high THD riding on the good power at the input:
Because of the alternating magnetic field, there is a normal temperature rise in the iron core due to eddy current and hysteresis loss. That is a given, and the iron core is by design sufficiently massive to dissipate this heat. But as it happens, the amount of eddy current loss varies with the square of the frequency. When high-frequency harmonics come along, the heat rises dramatically and, as it dissipates, a significant portion migrates into the windings, adding to the excess heat generated there by the unwanted harmonics and further stressing the winding insulation. Hysteresis varies directly with the frequency, not with its square, but still, it adds to the total.
Another factor, even more harmful, is a loss within the windings. This source of heat varies with the square of the current (I2R) and the harmonics have a significant negative impact. Additionally, these high-frequency components exhibit harmful skin effect, reducing effective conductor size.
If a generator is to supply nonlinear loads, it should be derated because it has higher reactance and impedance than a similar size motor. Combined with high-frequency magnetic flux resulting from the presence of powerful harmonics, they boost the stator temperature. Rotor heating also results from these high-frequency currents.
Additionally, harmonics set the stage for often catastrophic transformer failure. Generally trouble-free, transformers without warning may explode as big nonlinear loads abruptly switch on. The problem is compounded in older transformers containing toxic PCB-laden cooling oil.
Copper and iron losses combine to create a hazardous situation. Eddy current rises when harmonics enter a transformer from line or load. Because eddy current is proportional to the square of the applied current and the square of its frequency, a transformer catastrophe can happen suddenly and without warning.
Slot Harmonics Means Meaning
Harmonic current in transformers is a source of electromagnetic interference that can degrade nearby communication circuits. Shielding, increased spatial separation and suppression of the harmonics are used to mitigate these effects.
Slot Harmonics Define
To summarize, Fourier analysis (as opposed to Fourier synthesis), of a periodic signal reveals the harmonic frequencies that are components and integer multiples of the signal. This is where THD appears.
The reason that a voltage and its associated current are purely sinusoidal is that they consist of a single frequency. Multiple higher frequency components contribute to the observed THD. A square wave has a great amount of this distortion while a sine wave that is in the real, non-ideal world has a small amount of it. In most cases, that component is not visible in the time domain, but it can usually be observed just above the noise floor in the frequency domain.
Slot Harmonics Means Free
THD is a constant concern in power systems. Low power factor, higher peak currents and low efficiency accompany high THD. In audio reproduction, a low THD equates to better fidelity. In communications systems, high THD means a potential for interference with nearby equipment and greater power consumption at the transmitter.
A THD analyzer can be used to measure the distortion of a waveform in comparison to a distortion-free sine wave. The instrument breaks the wave under investigation into its harmonics and compares each harmonic to the fundamental. An alternate procedure is to remove the fundamental by means of a notch filter, then measuring the remaining signal which will be the THD plus noise.
In audio equipment development, a low-distortion arbitrary function generator is used to insert an input into the unit being evaluated. Distortion at constituent frequencies is then measured for comparison of prototypes. In such procedures, crossover distortion for any given THD level is more audible and thus tends to outweigh clipping distortion, which produces higher-order harmonics.
Generally, harmonics are beneficial only to the musician, who uses them in a flute or guitar to produce sounds that would otherwise be beyond the capability of the instrument.
The best way to mitigate harmonics is to suppress them at the source. An alternative is to create shielding or filters at the equipment that is affected by the harmonics. Then, measuring the amount of THD, the success of these measures can be evaluated.