DC/AC Pure Sine Wave Inverter

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N E C A M S I DDC/AC Pure Sine WaveInverterJim DoucetDan EgglestonJeremy ShawMQP Terms A B C 2006 2007Advisor: Professor Stephen J. BitarSponsor: NECAMSID

Table of ContentsIntroduction.1Problem Statement.2Background.3Inverters and Applications.5Pulse Width Modulation.7Bubba Oscillator.9H Bridge Configuration.12MOSFET Drivers.14Circuit Protection and Snubbers.15Filtering.16Methodology.17Sine Wave Generator.18Carrier Wave Generator.20Pulse Width Modulation.24H Bridge.27Filter.30Implementing the Design.32Difficulties.33Sine Wave Generator.33Filter Design.35Putting the Design to ferences.44Appendix A: Switching Frequency Charts.46Appendix B: Circuit Diagram.47Appendix C: Flowchart.49Appendix D: PCB Board Diagrams.50Appendix E: Parts List.52Index of FiguresCommercial 200 Watt Inverter.5Square, Modified, and Pure Sine Wave.6Pulse Width Modulation.7

Bubba Oscillator Schematic.9RC Filter Schematic.10Signal at P1.11H Bridge Configuration using N Channel MOSFETs.12N Channel MOSFET.14Inductive Load Circuit.15Inductive Load Circuit with Snubber.15Inductive Load Circuit with Snubber and Zener Diode.15Block Diagram.17Bubba Oscillator Circuit.18Oscillator Signal at P2.19Oscillator Signal at P5.19Triangle Wave Generator.20Square Wave Output.21Generated Triangle Wave.22Square and Triangle Waves.22PWM Signal.24Sine Reference, Triangle Wave, and square wave reference.25Modified triangle wave, overlaid with sine reference.25PWM signal and reference sine.26Trilevel PWM signal.26H Bridge with MOSFET Drivers.27Typical Connection for IR2110 MOSFET Driver.28Frequency plot of losses.30New Sine Wave Oscillator Circuit Diagram.34Two Pole Output Filter.35Project on PCB Board.36Closed Loop Flow Chart.37Non Inverting Amplifier Block.38Frequency plot of MOSFET losses.41Frequency plot of inductor losses (resistive).41

IntroductionThis report focuses on DC to AC power inverters, which aim to efficiently transform a DC powersource to a high voltage AC source, similar to power that would be available at an electrical wall outlet.Inverters are used for many applications, as in situations where low voltage DC sources such as batteries,solar panels or fuel cells must be converted so that devices canrun off of AC power. One example ofsuch a situation would be converting electrical power from a car battery to run a laptop, TV or cellphone.The method in which the low voltage DC power is inverted, is completed in two steps. The firstbeing the conversion of the low voltage DC power to a high voltage DC source, and the second stepbeing the conversion of the high DC source to an AC waveform using pulse width modulation. Anothermethod to complete the desired outcome would be to first convert the low voltage DC power to AC, andthen use a transformer to boost the voltage to 120 volts. This project focused on the first methoddescribed and specifically the transformation of a high voltage DC source into an AC output.Of the different DC AC inverters on the market today there are essentially two different forms of AC1output generated: modified sine wave, and pure sine wave . A modified sine wave can be seen as moreof a square wave than a sine wave; it passes the high DCvoltage for specified amounts of time so that theaverage power and rms voltage are the same as if it were a sine wave. These types of inverters are muchcheaper than pure sine wave inverters and therefore are attractive alternatives.Pure sine wave inverters, on the other hand, produce a sine wave output identical to the powercoming out of an electrical outlet. These devices are able to run more sensitive devices that a modifiedsine wave may cause damage to such as: laser printers, laptop computers, power tools, digital clocks andmedical equipment. This form of AC power also reduces audible noise in devices such as fluorescentlights and runs inductive loads, like motors, faster and quieter due to the low harmonic distortion.1 ABS Alaskan1

Problem StatementIn the market of power inverters, there are many choices. They range from the very expensive tothe very inexpensive, with varying degrees of quality, efficiency, and power output capability along theway. High quality combined with high efficiency exists, though it is often at a high monetary cost. For2example, Samlex America manufactures a 600 W, pure sine wave inverter; the cost is 289 . MeanwhileGoPower manufactures a 600 W inverter with a modified sine wave output (closer to a square wave); this3model only fetches 69 . The high end pure sine wave inverters tend to incorporate very expensive, highpower capable digital components. The modified sine wave units can be very efficient, as there is notmuch processing being performed on the output waveform, but this results in a waveform with a highnumber of harmonics, which can affect sensitive equipment such as medical monitors. Many of the verycheap devices output a square wave, perhaps a slightly modified square wave, with the proper RMSvoltage, and close to the right frequency.Our goal is to fill a niche which seems to be lacking in the power inverters market, one for a fairlyefficient, inexpensive inverter with a pure sine wave output. Utilizing PWM and analog components, theoutput will be a clean sinusoid, with very little switching noise, combined with the inexpensivemanufacturing that comes with an analog approach.2 600 Watt Pure Sine Wave Inverter. Donrowe.com.3 Go Power 600 Watt Modified Wave Inverter2

BackgroundDC and AC CurrentIn the world today there are currently two forms of electricaltransmission, Direct Current (DC) andAlternating Current (AC), each with its own advantages and disadvantages. DC power is simply theapplication of a steady constant voltage across a circuit resulting in a constant current. A battery is themost common source of DC transmission as current flows from one end of a circuit to the other. Mostdigital circuitry today is run off of DC power as it carries the ability to provide either a constant high orconstant low voltage, enabling digital logic to process code executions. Historically, electricity was firstcommercially transmitted by Thomas Edison, and was a DC power line. However, this electricity waslow voltage, due to the inability to step up DC voltage at the time, and thus it was not capable of4transmitting power over long distances .V IRP IV I 2 R(1)As can be seen in the equations above, power loss can be derived from the electrical currentsquared and the resistance of a transmission line. When the voltage is increased, the current decreasesand concurrently the power loss decreases exponentially; therefore high voltage transmission reducespower loss. For this reasoning electricity was generated at power stations and delivered to homes andbusinesses through AC power. Alternating current, unlike DC, oscillates between two voltage values at aspecified frequency, and its ever changing current and voltage makes it easy to step up or down thevoltage. For high voltage and long distance transmission situations all that is needed to step up or downthe voltage is a transformer. Developed in 1886 by William Stanley Jr., the transformer made long5distance electrical transmission using AC power possible .4 Charpentier5 Bellis3

Electrical transmission has therefore been mainly based upon AC power, supplying mostAmerican homes with a 120 volt AC source. It should be noted that since 1954 there have been manyhigh voltage DC transmission systems implemented around the globe with the advent of DC/DC6converters, allowing the easy stepping up and down of DC voltages .Like DC power, there exist many devices such as power tools, radios and TV’s that run off of ACpower. It is therefore crucial that both forms of electricity transmission exist; the world cannot bepowered with one simple form. It then becomes a vital matter for there to exist easy ways to transformDC to AC power and vice versa in an efficient manner. Without this ability people will be restricted towhat electronic devices they use depending on the electricity source available. Electrical AC/DCconverters and DC/AC inverters allow people this freedom in transferring electricalpower between thetwo.6 Charpentier4

Inverters and ApplicationsPower inverters are devices which can convert electrical energy of DC form into that of AC. Theycome in all shapes and sizes, from low power functions such as powering a car radio to that of backingup a building in case of power outage. Inverters can come in many different varieties, differing in price,power, efficiency and purpose. The purpose of a DC/AC power inverter is typically to take DC powersupplied by a battery, such as a 12 volt car battery, and transform it into a 120 volt AC power sourceoperating at 60 Hz, emulating the power available at an ordinary household electrical outlet.Figure 1: Commercial 200 WattInverter7Figure 1 provides a idea of what a small power inverter looks like. Power inverters are used todayfor many tasks like powering appliances in a car such as cell phones, radios and televisions. They alsocome in handy for consumers who own camping vehicles, boats and at construction sites where anelectric grid may not be as accessible to hook into. Inverters allow the user to provide AC power inareas where only batteries can be made available, allowing portability and freeing the user of long powercords.On the market today are two different types of power inverters, modified sine wave and pure sinewave generators. These inverters differ in their outputs, providing varying levels of efficiencyanddistortion that can affect electronic devices in different ways.7 Walmart.com5

A modified sine wave is similar to a square wave but instead has a “stepping” look to it that relatesmore in shape to a sine wave. This can be seen in Figure 2, which displays how a modified sine wavetries to emulate the sine wave itself. The waveform is easy to produce because it is just the product ofswitching between 3 values at set frequencies, thereby leaving out the more complicated circuitry neededfor a pure sine wave. The modified sine wave inverter provides a cheap and easy solution to poweringdevices that need AC power. It does have some drawbacks as not all devices work properly on amodified sine wave, products such as computers and medical equipment are not resistant to the distortionof the signal and must be run off of a pure sine wave power source.Figure 2: Square, Modified, and Pure Sine Wave8Pure sine wave inverters are able to simulate precisely the AC power that is delivered by a walloutlet. Usually sine wave inverters are more expensive then modified sine wave generators due to theadded circuitry. This cost, however, is made up for in its ability to provide power to all AC electronicdevices, allow inductive loads to run faster and quieter, and reduce the audible and electric noise in audio9equipment, TV’s and fluorescent lights .8 Trace Engineering9 Donrowe.com6

Pulse Width ModulationIn electronic power converters and motors, PWM is used extensively as a means of poweringalternating current (AC) devices with an available direct current (DC) source or for advanced DC/ACconversion. Variation of duty cyclein the PWM signal to provide a DC voltage across the load in aspecific pattern will appear to the load as an AC signal, or can control the speed of motors that wouldotherwise run only at full speed or off. This is further explained in this section. The pattern at which theduty cycle of a PWM signal varies can be created through simple analog components, a digitalmicrocontroller, or specific PWM integrated circuits.Analog PWM control requires thegeneration of both reference and carrier signals that feed into a10comparator which creates output signals based on the difference between the signals . The referencesignal is sinusoidal and at the frequency of the desired output signal, while the carrier signal is ofteneither a sawtooth or triangular wave at a frequency significantly greater than the reference. When thecarrier signal exceeds the reference, the comparator output signal is at one state, and when the referenceis at a higher voltage, the output is at its second state. This process is shown in Figure 3 with thetriangular carrier wave in red, sinusoidal reference wave in blue, and modulated and unmodulated sine11pulses .10 Hart, pg. 308 31211 Ledwich7

Figure 3: Pulse Width ModulationIn order to source an output with a PWM signal, transistor or other switching technologies are used toconnect the source to the load when the signal is high or low. Full or half bridge configurations arecommon switching schemes used in powerelectronics. Full bridge configurations require the use of fourswitching devices and are often referred to as H Bridges due to their orientation with respect to a load.8

Bubba OscillatorThe Bubba Oscillator is a circuit that provides a filtered sine wave of any frequency the user desiresbased upon the configuration of resistors and capacitors in the circuit. The circuit completes this taskwith four operational amplifiers that either buffer or amplify the signal. This oscillator is a phase shiftoscillator, but unlike other phase shift varieties that require phase shifts of 90 degrees or more, the bubbaoscillator only requires a 45 degree shift in order to function. This is because of the four op amps, thatwhen placed in series, produce a total 180 shift.The bubba oscillator offers a few features that other oscillators cannot, the biggest factor is that thefrequency stability holds while still giving a low distortion output. The reason for this involves the fourfilters that the signal passes through, providing a clear and stable signal at point P5, as shown in Figure 4.Figure 4: Bubba Oscillator SchematicFour identical RC filters phase shift the signal 45 degrees each. This causes a 180 degree phase shiftwhich is then returned to a zero degree phase shift with the inverting amplifier placed across the firstoperational amplifier. The math behind the phase shift of the filter in Figure 5 is shown in equationgroup (2):9

Figure 5: RC FilterSchematic1j CV out V in 1R j CV inj R C 11RCV1A out V in j 1 0 A 45 45When (2)Another side effect of the filtering, however, is that the signal becomes attenuated, enough so that thesignal must be amplified so that the oscillator works. It only will work if the signal being passed backinto the system is the same as the one it started out as.1 j 1 12 A 411ATotal 2 4(3)As the equations above show the total attenuation of the system is ¼ of the original signal, thereforethe amplification of the inverting amplifier must be of magnitude 4. When this knowledge is coupledwith the 180 degree phase shift of the filters it can be determined that the amplifier have a value of 4 inorder for the circuit to pass back the original signal and thereby oscillate.10

A problem that exists in all oscillators is that it is nearly impossible to get an exact amplification ofthe signal. If the amplification is too small then the oscillator signal will decay to nothing, however if itis too large the signal will keep on amplifying until it hits the rails of the op amps. This means that somesort of non linear feedback must be implemented with these oscillators so that the signal provided willactually be a stable sine wave.The bubba oscillator (as well as other phase shift oscillators) solves this problem by the very natureof the op amps, when the signal is amplified back into the circuit the signal gets clipped at the peaks ofthe sine wave. This is because the amplitude is reaching the rails of the op amp allowing the signal tostabilize and providing the non linear feedback needed.Figure 6: Signal at P1Figure 6 shows how the signal looks when it passes through this point, which is the point P1 inFigure 4. It is acceptable for this incoming signal to be clipped at the peaks because through the 4 filtersprovided by the circuit all distortion associated with the signal for the most part is eliminated, providing aclean sine wave.11

H Bridge ConfigurationAn H Bridge or full bridge converter is a switching configuration composed of four switches in anarrangement that resembles an H. By

output generated: modified sine wave, and pure sine wave1. A modified sine wave can be seen as more of a square wave than a sine wave; it passes the high DC voltage for specified amounts of time so that the average power and rms voltage are the same as if it were a sine wave.

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