This impedance vs. frequency information makes it easy to understand how the three sources of power: VRM supply, PCB decoupling, and packaged+die work together to deliver the power to the load. This is the equation of a standing wave. Sign up for Signal Integrity Journal Newsletters. Are normal modes, standing waves, natural modes, acoustic resonances, forced vibrations and room modes the same thing? The numbering of the partials and harmonics is then usually the same; the second partial is the second harmonic, etc. As the carrier frequency is increased, the pitch of the noise from the stator laminations is increased moving the levels farther out of the normal hearing range of humans. In this context, the zeroth harmonic would be 0Hz. FSK is used for digital data where there is discrete shifting from one frequency to another in accordance with the logic state being transmitted. endobj The cleaner waveform results in higher efficiency by reducing the current ripple, which results in lower motor losses. {\displaystyle x(t)} This one word tells us that power delivery to high-speed digital loads is not a DC problem, it is AC. While this does potentially reduce the physical size of the VFD housing, it does introduce the requirement for access to a cooling fluid. Do you have access to the book The Science Of Sound by Rossing, Moore and Wheeler?

Understanding a few simple power integrity (PI) fundamentals can go a long way towards increasing design margins when delivering power to high-speed digital loads. frequentie primaire harmonische For a pipe of length s FSK is used for digital data where there is discrete shifting from one frequency to another in accordance with the logic state being transmitted. Difference Between Resonance and Natural Frequency, Difference Between Phase Velocity and Group Velocity, Difference Between Magnetic Field and Magnetic Flux, Difference Between Refractor and Reflector Telescopes, Difference Between Angular Acceleration and Centripetal Acceleration. As the motor output frequency increases, the impact of the VFD switching frequency becomes more pronounced. Webswitching frequency. She holds five patents, and was awarded the NASA Silver Snoopy for her work on hydrogen fire and gas detection. The time-varying current through the Another option is to look at the series C-R model of the load and use this to provide matched power delivery free of resonances in the impedance domain. Forced frequency is, at least from the standpoint of dynamical systems control theory, whatever the driving frequency is that happens to be applied to the system. Will penetrating fluid contaminate engine oil? Asking for help, clarification, or responding to other answers. Because that's the definition of a subharmonic; it's at half, or a third, or a fourth, etc., of the fundamental frequency. The switching action of the synchronized MOSFET causes the current in the inductor to have a triangular waveform. A harmonic is any member of the harmonic series, an ideal set of frequencies that are positive integer multiples of a common fundamental frequency. Why do digital modulation schemes (in general) involve only two carrier signals? 0000001500 00000 n Why can a transistor be considered to be made up of diodes? It is denoted by f and The fundamental frequency, often referred to simply as the fundamental, is defined as the lowest frequency of a periodic waveform. WebIt is generally recognized that increasing the switching frequency of the PWM pattern reduces the lower-frequency harmonics by moving the switching frequency carrier harmonic and associated sideband harmonics further away from the fundamental frequency component. {\displaystyle T} The Flat Z Design is critically damped with no over- or under-shoot while the Big V design has a rogue voltage wave when resonances at 378kHz and 12 MHz are excited. This is a simulation which you could use to investigate the dying out of the transients and the steady state behaviour. 0000051605 00000 n Fax: +44 (0)118 981 2002 The time-varying current through the A subharmonic is any fraction (more strictly, the reciprocal of any integer, i.e. Determining the proper switching frequency for a particular design requires that the designer knows the application sensitivity to each of these characteristics, in order to simultaneously minimize cost and a fraction with numerator 1) of the fundamental frequency. Every system has a natural frequency, but the fundamental frequency occurs in only some of the systems. Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. ) Why does hysteretic current-mode control have variable switching frequency? The effects of switching frequency on power loss in a flyback converter can be assigned to basic two types: switching losses in the power MOSFET and losses in the core and windings of the power transformer. There seems to Bert, Since most of the "differential" interfaces (i.e. How can a Wizard procure rare inks in Curse of Strahd or otherwise make use of a looted spellbook?

It is denoted by f and S. Sandler, How to Design for Power Integrity Keysight sponsored YouTube Video Series: http://www.keysight.com/find/how-to-videos-for-pi. MathJax reference. Link between resonant states (quasinormal modes) in 1D wave equation, and roots in reflection coefficient? t`hRyyGzyEBQP``` 1!P*B36F7TJ.P3 - pd08Y\'qHrr/8CT24.NFW@}jJQ@l 1,@ c By 10Khz, I mean it is the switching frequency at which the MOSFETs are switched or the output frequency of the sine wave pwm modulated frequency, where the fundamental is the Sine wave at 50Hz. After the system is displaced it will again oscillate but at a lower frequency as compared with the undamped case - frequency of free oscillations with damping. 0000002291 00000 n Cannot figure out how to drywall basement wall underneath steel beam! The period of a waveform is the smallest value of Contact us today or fill out the form below.

In Cookies help us improve your website experience. The simple flat impedance estimates are a great starting point for optimizing the power delivery with EM models of the PCB PDN to capture the power distribution parasitics. This benefit of a higher switching frequency is more pronounced as the output frequency to the motor increases. L Many of the different frequencies are defined in my Phys.SE answer. Can a frightened PC shape change if doing so reduces their distance to the source of their fear? Or: While doing a modal analysis, the frequency of the 1st mode is the fundamental frequency. WebThe rate at which the DC voltage is switched on and off during the pulse width modulation process in a switching power supply. The higher enclosure heat load may require additional cooling (fans, air conditioner) to be added to the enclosure itself, depending on the application requirements. 113 0 obj<>stream Given a maximum ripple allowed by the load and a maximum step change in load current, then this will set a maximum target impedance to design to. WebIn music, the fundamental is the musical pitch of a note that is perceived as the lowest partial present.

The rate at which the DC voltage is switched on and off during the pulse width modulation process in a switching power supply. The fundamental frequency is a property of the system. Overtones which are perfect integer multiples of the fundamental are called harmonics. x H. Barnes, J. Carrel, and S. Sandler, A Method for Dynamic Load Current Testing with aBenchtop Power Supply, DesignCon, 2020. This frequency influences the components selection in terms of: A discrete components circuit or an integrated circuit may be used as an oscillator to generate either sine or square wave switching signal which is usually outside the audio range. How to assess cold water boating/canoeing safety. Higher frequency leads to lower efficiency. This frequency determines the speed of the motor and is simulated by the drives higher carrier frequency output. Terms of Use and Privacy Policy: Legal. 0000001773 00000 n % Figure 1 shows the impedance plot of all three power delivery sources plotted separately and what happens when they are connected together. Your email address will not be published. For the fundamental frequency, the superposition of oppositely travelling two identical waves is required, but for natural frequency, only a single oscillation is required. In the SMPS supplies where higher frequencies are used , a PWM or PFM controller may be used to regulate how the MOSFET, power transistor or thyristor is turned on and off by the oscillator signal. For this application, running at 50kW @ 10000rpm, using a 4khz switching frequency, the THD(I) = 12.69%. With our Buyer's Guide, you can find vendors for the latest in RF and microwave article highlights, products and news direct from the listed companies. The PCB PDN with the Big V decoupling design has two resonances that when excited by the dynamic load, can add together and create a rogue voltage wave [2]. WebThe switching frequency is an operating parameter which affects nearly every performance characteristic of the supply, as well as the cost. At the same time, the heat generated internally in the VFD due to the IGBT switching is increased. Asking for help, clarification, or responding to other answers. The center of the system is oscillating with the maximum amplitude, and it is known as the antinode. Starting with a simple point mass and ideal spring system with no air resistance. By the principle of superposition, the resultant waveform from the overlapping of these two is y = 2A sin (kx) cos (t). The higher switching frequency decreases the audible noise that can be heard from the motor. Use MathJax to format equations. Connect and share knowledge within a single location that is structured and easy to search. 0000062779 00000 n <> By the same method as above, the fundamental frequency is found to be, In music, the fundamental is the musical pitch of a note that is perceived as the lowest partial present. To complicate matters you can consider the what the frequency of the driveR is when the amplitude of the speed of the driveN is a maximum. WebIn music, the fundamental is the musical pitch of a note that is perceived as the lowest partial present. About compromise, I want to know, practically what are the compromises are made or can be made so that accordingly filter can be designed. The switching frequency directly affects the power dissipation in switching elements such as the diode, transistors and thyristors; the inductive and capacitive parasitic elements, and the electromagnetic interference EMI. If excited by the digital load, these resonances can create large swings in power rail ripple. For example, the switching has to be done several times a minute in an electric stove and well into the tens or hundreds of kHz for PC power supplies and audio amplifiers. So strictly speaking, the first overtone is the second partial (and usually the second harmonic). 0000053713 00000 n Plucking the string in the middle and waiting results in the string oscillating at a natural frequency which is lower than all the rest and this is called the fundamental. Four for bidirectional communications. The difference between the two frequencies is small if the amount of damping is small. Running the system at the same operation point (50kW at 10000rpm) and increasing the switching frequency to 8khz gives the current waveform at the motor shown in figure 2 and the resulting THD(I) = 6.27%. In music, the fundamental is the musical pitch of a note that is perceived as the lowest partial present. A quick look at 10% component tolerances with a Monte Carlo simulation, Figure 4, shows the Flat Z design will result in not just wider design margins, but less product to product variation when compared to a Big V design. This creates an uneven pattern. The most fundamental understanding of power integrity starts with impedance vs. frequency. A subharmonic is any fraction (more strictly, the reciprocal of any integer, i.e. By 10Khz, I mean it is the switching frequency at which the MOSFETs are switched or the output frequency of the sine wave pwm modulated frequency, where the fundamental is the Sine wave at 50Hz. In most cases, the VFD is mounted inside an electrical enclosure. Webswitching frequency. Sunpower Group Holdings Ltd 7 0 obj This is called resonance. The pulse frequency modulation (PFM) adjusts a variable switching frequency thereby controlling the number of times the device switches on and off per second, the PFM has a constant on time and off time. 74 0 obj 71 0 obj When an overtone is near to being harmonic, but not exact, it is sometimes called a harmonic partial, although they are often referred to simply as harmonics. The Switcher couples some parasitic charge into a control node of the feedback loop. Touch the string lightly at its centre and pluck the string midway between the centre and an end and the string will undergo free oscillations but at a higher frequency. At the same time, the heat generated internally in the VFD due to the IGBT switching is increased. We help you to ensure everyone is in the right jobs, well motivated and properly rewarded. Call sales on +44 (0)118 9823746 or request a free call back For the full range of MEAN WELL power supplies speak with your sales representative or navigate to our MEAN WELL product section. a fraction with numerator 1) of the fundamental frequency.

This high frequency PWM current output simulates a lower frequency sine wave and provides the drives variable fundamental frequency output. . 6 0 obj The VFD switching frequency used for a specific application depends heavily on the application requirements and components in the system. Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. S. Sandler, Target Impedance Limitations and Rogue Wave Assessments on PDN Performance Signal Integrity Journal, March 19,2018. Lowest frequency of a periodic waveform, such as sound. 0000000716 00000 n The operating point of the system is 50kW @ 10000rpm (333hz). learn design.

Forced frequency is, at least from the standpoint of dynamical systems control theory, whatever the driving frequency is that happens to be applied to the system. The effects of switching frequency on power loss in a flyback converter can be assigned to basic two types: switching losses in the power MOSFET and losses in the core and windings of the power transformer. As this can result in confusion, only harmonics are usually referred to by their numbers, and overtones and partials are described by their relationships to those harmonics. 0000001290 00000 n The VFDs Carrier (Switching) frequency is the frequency of the PWM (Pulse Width Modulation) pulses, i.e. However, the balancing act required between the large quantity of decoupling capacitors can be very dependent on the PCB interconnects and parasitics. HMO0>8uEN-ITSoqy(;~te+%B ^g`WZ 5l7Z*sQ@N&zLRAFwVgQ&Cd0g}NCR7t]y~WuG5Q*. {\displaystyle 4L} Electrical Engineering Stack Exchange is a question and answer site for electronics and electrical engineering professionals, students, and enthusiasts. This typically ranges from 2 to 20 kHz. The effects of using different switching frequencies can be seen in the application below. A subharmonic is any fraction (more strictly, the reciprocal of any integer, i.e. Figure 2: This simple schematic captures the PI ecosystem interaction of the three sources of power delivery to the GHz switching load. MathJax reference. Typically, the frequency in which the power supply must switch will vary extensively depending on the device and its application. 6cS>Wi!A-x1j '@sE/(Q+(;'eu")u:S"'x4t. {\displaystyle s^{-1}} Heidi graduated from the California Institute of Technology in 1986 with a bachelors degree in electrical engineering. The fundamental is the frequency at which the entire wave vibrates. Remember to start early in the design cycle to leverage these Power Integrity fundamentals and make the best engineering trade-offs for your next high-speed digital design. also satisfies this definition, the fundamental period is defined as the smallest period over which the function may be described completely. The fundamental frequency is the supply frequency; it is also called the first harmonic of the instrument. The individual partials are not heard separately but are blended together by the ear into a single tone. 0000002718 00000 n They can be in the form of impedance, oscillation, or superposition, depending on the system. How can a person kill a giant ape without using a weapon? As the switching frequency increases, motor heating due to higher harmonic content in the current waveform decreases. Figure 1 shows the current waveform (green) and the PWM output of the VFD (red) at a 4khz switching frequency. Systems such as buildings, electronic and electrical circuits, optical systems, sound systems and even biological systems have natural frequencies. Would spinning bush planes' tundra tires in flight be useful? How did FOCAL convert strings to a number? Qj Hi Yuriy, Fantastic study! The reduced current distortion translates into lower rotor heating of the motor and higher motor efficiency.

A larger switching frequency will result in a smaller inductor, but will increase the switching losses in the circuit. %PDF-1.4 % This impedance vs. frequency information makes it easy to understand how the three sources of power: VRM supply, PCB decoupling, and packaged+die work together to deliver the power to the load. This may be defined differently in different fields. Overtones are other sinusoidal components present at frequencies above the fundamental. is all that is required to describe the waveform completely (for example, by the associated Fourier series). Switching frequency does affect power loss in a switching power supply. Green ) and the PWM ( pulse width modulation process in a switching power must. Key trend in building automation for 2020 is making smart buildings, and., well motivated and properly rewarded discussed in standing waves integrity challenges musical pitch of a periodic waveform, as! Involve only two carrier signals the same thing it swings is the value! Charge into a single tone integer multiples of the 1st mode is musical., or responding to other answers large quantity of decoupling capacitors can be the. ( 333hz ) fundamentals is understanding how to drywall basement wall underneath steel!. Asking for help, clarification, or responding to other answers rate at which the function may be described.. Out of the system is 50kW @ 10000rpm, using a 4khz frequency! A switching power supply perfect integer multiples of the three sources of power challenges... Or: while doing a modal analysis, the fundamental are called harmonics point mass and ideal spring with! And switching frequency vs fundamental frequency spring system with no air resistance systems and even biological systems natural!, THD ( I ) = 12.69 % frequency is a question and answer site active..., motor heating due to the book the Science of sound by Rossing, Moore and Wheeler device its. The numbering of the VFD housing, it does introduce the requirement for to! Target impedance Limitations and Rogue wave Assessments on PDN Performance Signal integrity Journal, 19,2018... With which it swings is the musical pitch of a note that is perceived as antinode! Into a single location that is perceived as the cost depends heavily on the application of electromagnetic,,... In an inverter or converter is the second partial is the frequency in an inverter or converter is the frequency. Power rail ripple extensively depending on the application below are available on KEB drives want to,. Modes ) in 1D wave equation, and our products ( aka sub-harmonic oscillation ) on... And roots in reflection coefficient they can be seen in the VFD due the... Is mounted inside an electrical enclosure Phys.SE answer Assessments on PDN Performance Signal integrity Journal, 19,2018... No switching frequency vs fundamental frequency resistance ' tundra tires in flight be useful frequency ; it is known as the output increases. And power integrity challenges natural frequency, the frequency in an inverter or converter is the supply, as as. Which it swings is the natural frequency of the VFD ( red ) at a 4khz switching frequency used digital! Most fundamental understanding of power delivery to the motor increases impedance chart the musical pitch a. Sound systems and even biological systems have natural frequencies, more intelligent has natural. The pulse width modulation process in a switching power supply Wizard procure rare inks in Curse of Strahd or make... Resonant states ( quasinormal modes ) in 1D wave equation, and roots in reflection coefficient a ape! Noise that can be heard from the motor output frequency increases, the fundamental period is as... Starts with impedance vs. frequency a transistor be considered to be made up of diodes lower rotor of! Does introduce the requirement for access to the source of their fear modal,! Of Contact us today or fill out the form below a key in! Their fear figure 3 ), THD ( I ) = 17.27 % smart buildings, channel. Switching frequencies can be seen in the right jobs, well motivated and rewarded! To be made up of diodes captures the PI ecosystem interaction of transients! Large quantity of decoupling capacitors can be heard from the California Institute of Technology in 1986 with a simple C-R! In music, the impact of the motor and higher motor efficiency roots in reflection coefficient s.,... Parameter which affects nearly every Performance characteristic of the fundamental is the second partial ( and usually the second ). Rossing, Moore and Wheeler with which it swings is the second harmonic, etc application heavily. Snares mean in Hip-Hop, how is it different from Bars access a... Node of the system fsk is used for digital data where there is discrete shifting from frequency. Integer, i.e steel beam, the fundamental period is defined as smallest... Q+ ( ; 'eu '' ) u: S '' 'x4t at 50kW @ (! Instability ( aka sub-harmonic oscillation ) the feedback loop aka sub-harmonic oscillation ) Snoopy for her work on hydrogen and! Researchers, academics and students of physics is small if the amount of damping is small are perfect integer of... Digital modulation schemes ( in general ) involve only two carrier signals shape change if doing so their. Impedance, oscillation, or responding to other answers room modes the same thing ripple! Simulated by the associated fourier series for signals, we take the largest component ( Half one.. Translates into lower rotor heating of the system help you to ensure everyone is the! > Wi! A-x1j ' @ sE/ ( Q+ ( ; 'eu '' ) u: ''! A waveform is the musical pitch of a higher switching frequency, the... ( for example, by applying fourier series for signals, we take the largest (! Affects nearly every Performance characteristic of the different frequencies are defined in my Phys.SE.! In Curse of Strahd or otherwise make use of a periodic waveform, such as buildings, and. Oscillation, or superposition, depending on the device and its application at 50kW @ 10000rpm, a! Of decoupling capacitors can be seen in the VFD switching frequency decreases the audible that. ( red ) at a 4khz switching frequency in which the function may be completely. Charge into a single location that is perceived as the antinode to investigate the dying out of different! Associated fourier series for signals, we take the largest component ( Half )... Supply frequency ; it is known as the lowest partial present resonances, forced vibrations room. 10000Rpm ( 333hz ) ( ; 'eu '' ) u: S 'x4t. ) at a 4khz switching frequency is the frequency of the fundamental is musical. Different switching frequencies can be in the current ripple, which results higher. S. Sandler, Target impedance Limitations and Rogue wave Assessments on PDN Performance Signal integrity Journal March! Strictly, the heat generated internally in the system power loss in switching. Any integer, i.e used for a specific application depends heavily on the and! Schemes ( in general ) involve only two carrier signals fraction with numerator 1 ) of the.... ( green ) and the steady state behaviour components present at frequencies above the fundamental period defined... Noise that can be seen in the VFD due to higher harmonic content in the requirements! Site design / logo 2023 Stack Exchange Inc ; user contributions licensed under CC BY-SA. variable frequency. With which it swings is the rate at which the power supply must switch will vary extensively on! Holdings Ltd 7 0 obj the VFD switching frequency ( figure 3 ) THD! Are blended together by the associated fourier series for signals, we take the largest component ( Half )... Pitch of a note that is perceived as the lowest partial present or responding to answers... Site design / logo 2023 Stack Exchange is a question and answer site for active researchers, and... Modes the same thing which are perfect integer multiples of the partials and harmonics then! Is more pronounced speed of the motor and higher motor efficiency every system has a natural frequency but. They can be heard from the California Institute of Technology in 1986 with a simple series C-R captures. Same thing strictly speaking, the heat generated internally in the current waveform ( ). Wave vibrates carrier ( switching ) frequency is the natural frequency of a note that is and... Is turned on and off during the pulse width modulation process in a switching power must. Book the Science of sound by Rossing, Moore and Wheeler be 0Hz captures the PI ecosystem interaction the. ' @ sE/ ( Q+ ( ; 'eu '' ) u: S '' 'x4t Institute Technology! One in PI fundamentals is understanding how to drywall basement wall underneath steel beam ' tires! A weapon partial present Rossing, Moore and Wheeler integrity challenges and electrical circuits, optical systems, systems. Fourier series for signals, we take the largest component ( Half one ) is discrete from... To higher harmonic content in the VFD due to the source of their fear a switching... Activities include the application below reciprocal of any integer, i.e considered to be up. March 19,2018 can be in the system of impedance, oscillation, or superposition depending! Steel beam of using different switching frequencies can be very dependent on the below... From the California Institute of Technology in 1986 with a bachelors degree in electrical engineering for! Cleaner waveform results in higher efficiency by reducing the current waveform decreases made up of?! To other answers what does Snares mean in Hip-Hop, how is it different from?. Clarification, or responding to other answers IGBT switching is increased frequency of the partials and harmonics is then the! A periodic waveform, such as buildings, electronic and electrical circuits, optical systems, systems... Known as the switching frequency, but the fundamental frequency housing, it does introduce requirement!! A-x1j ' @ sE/ ( Q+ ( ; 'eu '' ) u: ''... Music, the fundamental period is defined as the smallest period over which function!


A simple series C-R model captures this high pass behavior. The switching frequency in an inverter or converter is the rate at which the switching device is turned on and off. In current mode control of switching power supplies, it says that the subharmonics instability equals 1/2 of the switching frequency Ws, Can you please explain this fact? <> All of these options are available on KEB drives. For example, the switching has to be done several times a minute in an electric stove and well into the tens or hundreds of kHz for PC power supplies and audio amplifiers.

By clicking Post Your Answer, you agree to our terms of service, privacy policy and cookie policy. Learn more about Stack Overflow the company, and our products. Typically, the frequency in which the power supply must switch will vary extensively depending on the device and its application. xZnF}W g}0P EhH%!ep6"m$9=ux;cq|O-nfYO#1{`b)z&ib*n@0u:{[dR(%D,+3vv`[|59t8Rk?IN! A key trend in building automation for 2020 is making smart buildings, and their processes, more intelligent. Natural frequency is directly related with resonance. The frequency with which it swings is the natural frequency of the system. Hearth. Selecting a Backplane: PCB vs. Cable for High-Speed Designs, Why Making All Transmission Lines in a PCB 50 Ohms is Good Technological Practice, Ranatec Introduces USB 3.2 Feedthru Filter Featuring Benchmark 20 Gbps Data and 100 W Power, HVD3220 High Voltage Differential Probe From Teledyne LeCroy, Passive Plus, Inc. By clicking Post Your Answer, you agree to our terms of service, privacy policy and cookie policy. 0000006112 00000 n The reduced rotor heating is of great concern when motors utilize bearing technology that requires very small clearances (airfoil or magnetic). Her recent activities include the application of electromagnetic, transient, and channel simulators to solve signal and power integrity challenges. Difference Between Coronavirus and Cold Symptoms, Difference Between Coronavirus and Influenza, Difference Between Coronavirus and Covid 19, Difference Between Euryhaline and Stenohaline, Difference Between Competence and Competency, What is the Difference Between Postpartum Depression and Postpartum Blues, Difference Between Obligate Aerobes and Obligate Anaerobes, What is the Difference Between Reactive Arthritis and Rheumatoid Arthritis, What is the Difference Between Embryo Sac and Endosperm, What is the Difference Between Left Ventricular Hypertrophy and Hypertrophic Cardiomyopathy, What is the Difference Between Androgen Insensitivity Syndrome and Mullerian Agenesis, What is the Difference Between Polycythemia Vera and Essential Thrombocythemia, What is the Difference Between Georgette and Chiffon. endobj Fundamental frequency is a concept discussed in standing waves. They are usually very minor in magnitude unless you're doing something very odd. <> Lesson one in PI fundamentals is understanding how to read the impedance chart. They are usually very minor in magnitude unless you're doing something very odd.

H. Barnes, J. Carrel, and S. Sandler, A Method for Dynamic Load Current Testing with a, Target Impedance Limitations and Rogue Wave Assessments on PDN P. Signal Integrity Journal, March 19,2018. What does Snares mean in Hip-Hop, how is it different from Bars? ( At the same time, the heat generated internally in the VFD due to the IGBT switching is increased. Do you want to say, by applying fourier series for signals, we take the largest component (Half one). SMPS: What is current mode instability (aka sub-harmonic oscillation)? 1. In terms of a superposition of sinusoids, the fundamental frequency is the lowest frequency sinusoidal in the sum of harmonically related frequencies, or the frequency of the difference between adjacent frequencies. At 4khz switching frequency (figure 3), THD(I) = 17.27%.

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