A value of = 1 is considered optimum. This application is your tool to estimate the total harmonic current in your electrical system and to calculate your need for active harmonic filtering to reach the desired compensation level. 3 thg 3, 2020. VFDs arguably contribute the most THD for both commercial and industrial buildings. This application is your tool to estimate the total harmonic current in your electrical system and to calculate your need for active harmonic filtering to reach the desired compensation level. The negative effects associated with the presence of voltage harmonics include, for. 12 thg 6, 2022. Perform an Online Harmonic Analysis Using the Simscape Spectrum Analyzer Block Harmonic Distortion. 57 3. Using equation 1, we can express real power as:. For existing facilities, field measurements of the VFD current harmonic generation during the process operation are made quantifying daily and weekly load cycles. 58 Chapter 4. Harmonic filters are series or parallel resonant circuits designed to shunt or block harmonic currents. Fouriers theorem says that any periodic signal can be represented as a sum of sinusoidal components with frequencies equal to multiples of basic frequency of such signal. Harmonics are currents or voltages with frequencies that are integer multiples of the fundamental power frequency, which in the U. In this paper my major concern is to identify the loads which causes harmonics, how to design a filter for removing harmonics their effects on power systems, how to design a filter for. Figure 2 shows how a signal with two harmonics would appear on an oscilloscope-type display, which some power quality analyzers provide. Generally harmonic are produced by nonlinear electronics loads such as electronics ballest, VFDs, Battery charger, all electronics device etc. 4W connection is needed only when neutral wire currents (harmonics 3rd, 9th, 15th etc. various points in a power system and to determine whether dangerous resonant conditions exist and how they might be mitigated. The best approach is to prevent harmonics from arising in the first place. Generally harmonic are produced by nonlinear electronics loads such as electronics ballest, VFDs, Battery charger, all electronics device etc. Feb 07, 2022 · Reputable LED drivers operate with 10% or less harmonic distortion. The application prints the. harmonics distortion criteria for electrical systems design. However, certain types of loads produce currents and voltages with frequencies that are integer multiples of the 50 or 60 Hz fundamental frequency. IEEE 519-1992 defines harmonic limits within a power distribution system to assure proper equipment operation through its “Standard Practices and Requirements for Harmonic Control in Electrical Power Systems. In this paper my major concern is to identify the loads which causes harmonics, how to design a filter for removing harmonics their effects on power systems, how to design a filter for. 5) disturbances in the torque of induction motors. The power needed is about 400W, or 1A at the output. Harmonics are currents or voltages with frequencies that are integer multiples of the fundamental power frequency. . They reduce the harmonic currents flowing in the power system from the source and thereby reduce the harmonic voltage distortion in the system. 010 2 3. important factor in the calculation of true power factor, . Abstract: The appearance of nonlinear currents and voltages in power distribution systems has accelerated in recent times due to the availability of economical and reliable adjustable speed drives. Power System Harmonics is a real point of concern for Electrical Engineers. There were extra steel reinforcements in the bumper and core support to the fender. Dips and swells – voltage lower or higher than expected. The effects of harmonics can be felt in both the current and voltage. The course describes harmonic distortion and its different causes, as well as the issues . CFL generates harmonics in power system and operate at lower power factor. The application prints the summary of the results on the web page and sends a more specific report to your e-mail. The THD (for a voltage waveform) is given by the following formula: THD (for a voltage waveform) How are harmonics generated in the power system?. The unit is available for less than $500. Perform an Online Harmonic Analysis Using the Simscape Spectrum Analyzer Block Harmonic Distortion. The total harmonic distortion can be defined in two different ways. ) need to be compensated (3W by default). Figure 8-2 shows the relationship between system impedance and the voltage and current distortion components at several points in a typical power system. It is a multi-timeframe indicator; meaning it can be used on any timeframe starting from one minute (M1) to one month (MN). The term harmonic from the Ancient Greek ἁρμονία (“agreement, concord”). 300Hz is the 5th harmonic in a 60 Hz system, or the 6th harmonic in a 50 Hz system. For instance, the first and second harmonics have a 2:1 frequency ratio; the second and the third harmonics have a 3:2 frequency ratio; the third and the fourth harmonics have a 4:3 frequency ratio; and the fifth and. The numbers don’t tell the whole story, however. The numbers don’t tell the whole story, however. % of the 7. Nov 13, 2012 · Use a "boost" or "parametric" filter set to a high gain and sweep the frequency setting until you hear the noise accentuated the most. Using equation 1, we can express real power as:. Therefore, we can express them more generally as 2ƒ, 3ƒ, 4ƒ, etc. Eaton’s active harmonic filters, known as harmonic correction units (HCU2). harmonics in electric power systems. Instead of going to great lengths to reduce then, it is best to avoid them altogether. They reduce the harmonic currents flowing in the power system from the source and thereby reduce the harmonic voltage distortion in the system. ” It is currently the only recognized industry standard in North America for setting harmonic limits (voltage and current). a 60 Hz system is 2*60 or 120 Hz. This project explains the effects of Harmonics in the Power System and steps to reduce . To do so, we developed the integrated 3-phase active PFC solution. 300Hz is the 5th harmonic in a 60 Hz system, or the 6th harmonic in a 50 Hz system. The measured amplitudes are plugged in to the THD equation: T H D = √0. Józef Paska. be calculated by calculating ratio of distorted or harmonic. An electrical signal can be broken down into harmonic components using a very popular mathematical calculation based on Fourier’s theorem. Harmonics are already present on the input of the power system because they are being generated somewhere else. Harmonics – frequency effects caused either by the power supply or by equipment operating within the system. Calculate total harmonic distortion (THD) by using the value of distortion rms current in the following equation: The current THD is the same at each measuring point. For instance: if the harmonic voltage of 20 volts is added to a sinewave of 240 volts, the rms figure of both. Harmonic Calculator - Merus Power. 57 3. Power Quality and Harmonic Analysis. POWER SYSTEMS” provides suggested harmonic values for power systems:. Harmonics are voltages or currents that operate at a frequency that is an integer (whole-number) multiple of the fundamental frequency. Iload is a DC (average). Power system harmonics are commonly created by Variable Frequency. Power Quality and Harmonic Analysis. important factor in the calculation of true power factor, . Mar 31, 2016 · The harmonics are a problem when their magnitude produces an electrical power system resonance. PDF | On Apr 19, 2019, Mohammed K. The output results will appear on the . In this paper my major concern is to identify the loads which causes harmonics, how to design a filter for removing harmonics their effects on power systems, how to design a filter for. Harmonics do not just fall off as the frequency increases as is commonly believed. There are many harmonic solutions including harmonic load solutions and system harmonic solutions to reduce harmonic currents. The base 455 produced 40 fewer horsepower than the round port Super Duty 455. The main consequences usually are:. The causes and effects of these issues are often complex. The distortion power factor is calculated as follows: P F T HD = √ 1 1 +(T H D)2 P F T H D = 1 1 + ( T H D) 2 where PF THD = distortion power factor THD = total harmonic distortion. Harmonic tuning with a variable barrel tuner would work on an air rifle. Calculating harmonics and measuring harmonics are critical steps in selecting the best harmonic solution to reduce the total harmonic distortion or THD on a power system to comply with the IEEE-519 standard. Generally harmonic are produced by nonlinear electronics loads such as electronics ballest, VFDs, Battery charger, all electronics device etc. It follows the rules established for sequence current flow in the power system. However, they can be complex to design and implement. Distortion factor is . 7 – 7. THD is better understood when a power system is defined by its simplest parts– the power source and load, as shown in Figure 1. Also, numerical results are obtained with reference to a case study of a steel industry with induction furnace as a nonlinear load. Hum-Air FX Hammer Weight Tuning Set. Perform an Online Harmonic Analysis Using the Simscape Spectrum Analyzer Block Harmonic Distortion. A value of = 1 is considered optimum. The term harmonic refers to a component of a waveform that occurs at an integer multiple of the fundamental frequency. The harmonics introduce high-frequency content that converts it into a double-hump pattern (see figure 2). Electric power supply system in a country comprises of generating units that produce electric-ity; high voltage transmission lines that transport electricity over long distances; distribution lines that deliver the electricity to consumers; substations that connect the pieces to each other; and energy control centers to coordinate the operation of the components. The negative effects associated with the presence of voltage harmonics include, for. -TDD is a calculated harmonic current distortion against the full load (demand) level of the electrical system. In power systems, non-linear loads are permanently connected, unlike transients and other distortions are produced. energy-harmonic active power content rate, and then calculated separately. The table above demonstrates that the individual frequencies in the set of natural frequencies produced by a guitar string are related to each other by whole number ratios. It is required to decompose voltage and current signals with. Similarly, companies with heavy motor, VFD and lighting loads need to be aware of the problems that harmonics can cause. In order to calculate/measure the fundamental harmonic power values, the wavelet transform based methods have been proposed in the literature. The formula above shows the calculation for THD on a voltage signal. Comprehensive load flow and frequency scan calculations are performed using detailed. The power system harmonic analysis is the process of calculating the magnitudes and phases of the fundamental and higher order harmonics of system signals. /sqrt(2); harmonicPct = 100. The term harmonic refers to a component of a waveform that occurs at an integer multiple of the fundamental frequency. Learn and understand how to calculate total harmonic distortion (THD) and total demand distortion (TDD) || Eaton, Power Quality, Dan Carnovale explains, Harmonic FAQ, Power Systems Experience Center, IEEE-519. The second harmonic has the frequency twice that of the fundamental frequency, the third has the frequency thrice that of the fundamental frequency and so on as shown below. But these are led to an increase in power losses, equipment will be damaged because of overloads, distortion in voltage. Learn and understand how to calculate total harmonic distortion (THD) and total demand distortion (TDD) || Eaton, Power Quality, Dan Carnovale explains, Harmonic FAQ, Power Systems Experience Center, IEEE-519 Eaton’s Harmonic Frequently Asked Question’s FAQs collection of videos hosted by Dan Carnovale can help individuals from all different levels of education understand what. Learn different categories of power quality issues on an AC electrical system and how harmonic analysis is used to measure the distortion . 02532 +0. Harmonics Chapter 3, Definitions April 2012 Mack Grady, Page 3-6 = 475. The percentage THD determines the extent of distortion present in the signal. When such loads are supplied from a sinusoidal voltage, their injected harmonic currents are referred to as contributions from the customer. This application is your tool to estimate the total harmonic current in your electrical system and to calculate your need for active harmonic filtering to reach the desired compensation level. Jan 12, 2020 · Harmonics are a mathematical way of describing distortion to a voltage or current waveform. With built-in harmonic ratio function, the Agilent U1242 Series. Select run Harmonic load flow study option on analysis toolbar to execute harmonic load flow calculations. 03W and 0. The end result is a percentage comparing the harmonic components to the fundamental . In the eighteenth and nineteenth century, J. Meticulously crafted for the most demanding listeners, the HD 660 S builds on the legacy of the legendary HD 650, surpassing the exceptional performance of its predecessor incorporating a new and improved transducer that delivers lower harmonic distortion producing a more natural, lifelike. This project explains the effects of Harmonics in the Power System and steps to reduce . how to calculate harmonics in power system. This method is based on Fourier spectrum analysis. So given a 50Hz fundamental waveform, this means a 2nd harmonic frequency would be 100Hz (2 x 50Hz), a 3rd harmonic would be 150Hz (3 x 50Hz), a 5th at 250Hz, a 7th at 350Hz and so on. The effects of harmonics can be felt in both the current and voltage. Distortion factor is . Generally harmonic are produced by nonlinear electronics loads such as electronics ballest, VFDs, Battery charger, all electronics device etc. Unbalance – the effect of voltage or current variations on each of the electrical phases. The voltage contains both the fundamental and harmonics. We have: sin (-x) = -sin (x) The function f. The Super Duty (SD-455). The table above demonstrates that the individual frequencies in the set of natural frequencies produced by a guitar string are related to each other by whole number ratios. Knowing the existence and the extent of harmonic frequencies is important as they affect the entire power system. How electrical harmonics Occurs in Power system: Let consider above example. 0102 3. New ebm-papst product: Power factor (λ) = 0. The apparent power kVA delivered to an electrical load is always much higher than the power used (kW). communications, and power systems and should typically, . 2 illustrates the measurement of voltage in a system powering a nonlinear load. See: Why India Use 50Hz Power frequency and US use 60 Hz Frequency. Input the fundamental voltage and individual harmonic voltages to compute results also to view a waveform plot based on the input values. 4W connection is needed only when neutral wire currents (harmonics 3rd, 9th, 15th etc. Harmonics are a mathematical way of describing distortion to a voltage or current waveform. Thus a Total power meter will . The phase rotation sequence as used in power system engineering is given as positive (+), negative (-) or zero (0) sequence. A combination of current, voltage, and power factor are used to determine the power used by the building. Free EasyPower demo - https://www. Unbalance – the effect of voltage or current variations on each of the electrical phases. May 30, 2022 · Harmonics can cause vibrations and noise in electrical machines (motors, transformers, reactors). This method is based on Fourier spectrum analysis. 99 and a THDI value of less than five percent. New ebm-papst product: Power factor (λ) = 0. Power Quality and Harmonic Analysis. How to calculate the Total Harmonic Distortion. harmonicRms = harmonicMagnitude. Fundamental with two harmonics. This application is your tool to estimate the total harmonic current in your electrical system and to calculate your need for active harmonic filtering to reach the desired compensation level. See: Why India Use 50Hz Power frequency and US use 60 Hz Frequency. Harmonics are currents or voltages with frequencies that are integer multiples of the fundamental power frequency, which in the U. The point is how a consumer will suppress/absorb inverter-generated power supply harmonics to reduce harmonic currents at the power receiving point in the route A) in Fig. Fundamental with two harmonics. Total Put gamma: Sum put gamma. The apparent power kVA delivered to an electrical load is always much higher than the power used (kW). In general, there are three reasons why harmonics might be observed in a power system: Nonlinear harmonic generation due to diodes and FETs in a power system. VFDs arguably contribute the most THD for both commercial and industrial buildings. 14 thg 10, 2015. % of the 11. By modeling power system impedances as a function of frequency and harmonic sources as injecting currents or forced voltages, a harmonic study can be made to determine the level and effect of the harmonic distortions in the power system. Each harmonic current injected into the power system by a non-linear load will flow through the system impedance, resulting in a voltage drop at that harmonic frequency. Pulse-width modulation ( PWM ), or pulse-duration modulation ( PDM ), is a method of reducing the average power delivered by an electrical signal, by effectively chopping it up into discrete parts. It is required to decompose voltage and current signals with. harmonics distortion criteria for electrical systems design. POWER SYSTEMS” provides suggested harmonic values for power systems:. THD is better understood when a power system is defined by its simplest parts– the power source and load, as shown in Figure 1. For individual harmonic components (Eq. RF Harmonics Calculator Formula or Equation. How do you calculate second harmonic? Harmonics are integer multiples of the fundamental frequency. Harmonic distortion complicates the computation of power and power factors because voltage and current equations (and their products) contain harmonic components. Knowing the existence and the extent of harmonic frequencies is important as they affect the entire power system. Harmonics in the electrical power distribution system combine with the fundamental frequency (50Hz or 60Hz) supply to create distortion of the voltage and/or current waveforms. Harmonic Filter Calculation. For example, 300 Hz (5 x 60 Hz) is a 5th order harmonic of the. 0902 + 0. “Active rectification” causes the input current to be sinusoidal instead of pulsed, with. The average value of voltage (and current) fed to the load is controlled by turning the switch between supply and load on and off at a fast rate. Gamma Script Add a Review. Current harmonics are a burden for the power grid and the budget. If the installation site is at an altitude higher than 1000 m above. That is, it is symmetrical about the origin. First, the voltage state vector is calculated; second, the needed output. This method is robust and more efficient in solving HLF. The total harmonic distortion can be defined in two different ways. The frequency-dependent network impedance offers valuable clues about possible resonances in the network and the effectiveness of countermeasures. Huma FX Impact and FX Crown Gen 2 Tuning Regulator. Harmonic waveforms can result in energy losses through heat dissipation and in reduced power quality. 0164 2 + 0. The THD (for a voltage waveform) is given by the following formula: THD (for a voltage waveform) How are harmonics generated in the power system?. The best approach is to prevent harmonics from arising in the first place. It is bringing new ways to study machines. But these are led to an increase in power losses, equipment will be damaged because of overloads, distortion in voltage. Using this data, the harmonic ratio function calculates a value from 0% to 100% to indicate the deviation of non-sinusoidal and sinusoidal waveform. Harmonics are voltages or currents that operate at a frequency that is an integer (whole-number) multiple of the fundamental frequency. New ebm-papst product: Power factor (λ) = 0. How to calculate harmonics in power system. The main programs. Mar 31, 2016 · The harmonics are a problem when their magnitude produces an electrical power system resonance. This application is your tool to estimate the total harmonic current in your electrical system and to calculate your need for active harmonic filtering to reach the desired compensation level. klombo bedwars code, genesis lopez naked
This paper introduces a conservative method of estimating the composite harmonic current generated by the operation of multiple linear and non-linear loads connected to a single power distribution transformer. . How to calculate harmonics in power system
300Hz is the 5th harmonic in a 60 Hz system, or the 6th harmonic in a 50 Hz system. In order to calculate/measure the fundamental harmonic power values, the wavelet transform based methods have been proposed in the literature. harmonic has not been investigated in depth in power systems. The best approach is to prevent harmonics from arising in the first place. 20 thg 2, 2017. This means if we consider a given 50 Hz fundamental waveform, the second harmonic frequency would be 100 Hz (2 x 50 Hz), a third harmonic would be at 150 Hz (3 x 50 Hz), and so on. linear loads impedance (R, X L, and X S),. The 1973 Trans Am engine displaced 455 cubic inches in the base L75 and the Super Duty LS2 option. As an example, a general load is installed to one of bus-bar to model t. 0102 3. Therefore the true power factor is a combination of both of these. System Frequency 50 Hz 60 Hz Other Results Fundamental60 Hz Rotation+ Third180 Hz Rotation0 Fifth300 Hz Rotation- Seventh420 Hz Rotation+. Harmonic amplitudes are proportional to the area of the distortion. 'VariableNames',{'Order','Magnitude','RMS','Percentage'}); display(harmonicTable); harmonicTable = 10×4 table. Special types of transformers or tuned harmonic filters consisting of capacitors and inductors are used to correct distortion power factor. 99 and a THDI value of less than five percent. The negative effects associated with the presence of voltage harmonics include, for. The THD is the sum of all the harmonic effects; usually this is measured up to the 50th multiple of the fundamental frequency of the power system (60 Hz), at 3kHz or according to some guidance the 40th multiple (2. The Harmonic Problem depends on the Sum Total Load on the Power System. Harmonic filters are series or parallel resonant circuits designed to shunt or block harmonic currents. 11 thg 3, 2020. Step 1 Measure, using the harmonic analyzer on the circuit at 30% load, the load LD in kilowatts and the power factor PF. Step 1 Measure, using the harmonic analyzer on the circuit at 30% load, the load LD in kilowatts and the power factor PF. First-order balance and second-order balance are also used. These loads create harmonic distortion that can have adverse effects on your equipment. Example: Consider a system fed by a 1000kVA transformer with %impedance of 5. Harmonics do not just fall off as the frequency increases as is commonly believed. Pulse-width modulation ( PWM ), or pulse-duration modulation ( PDM ), is a method of reducing the average power delivered by an electrical signal, by effectively chopping it up into discrete parts. In order to calculate/measure the fundamental harmonic power values, the wavelet transform based methods have been proposed in the literature. It is required to decompose voltage and current signals with. li jn lz jn lz. In the radial distribution system (RDS), the existence of nonlinear loads causes the generation of harmonic currents, which lead to a lot of problems in the system and equipment, such as electronic equipment is used to control the system due to its effectiveness and accuracy. Jan 12, 2020 · Harmonics are a mathematical way of describing distortion to a voltage or current waveform. 03W and 0. Solar cells, also known as photovoltaic cells, take the sun’s energy and turn it into electricity. The second harmonic has the frequency twice that of the fundamental frequency, the third has the frequency thrice that of the fundamental frequency and so on as shown below. . 5) disturbances in the torque of induction motors. , switched-mode power supplies) or transformers. System Frequency 50 Hz 60 Hz Other Results Fundamental60 Hz Rotation+ Third180 Hz Rotation0 Fifth300 Hz Rotation- Seventh420 Hz Rotation+. This application is your tool to estimate the total harmonic current in your electrical system and to calculate your need for active harmonic filtering to reach the desired compensation level. First-order balance and second-order balance are also used. Feb 07, 2022 · Reputable LED drivers operate with 10% or less harmonic distortion. Feb 07, 2022 · Reputable LED drivers operate with 10% or less harmonic distortion. If the installation site is at an altitude higher than 1000 m above. 838 views 5 months ago ETAP-Electric Power System Studies. Perform an Online Harmonic Analysis Using the Simscape Spectrum Analyzer Block Harmonic Distortion. A loop fed in the southwest corner will have a few dB (3dB or more) gain favoring the northeast corner. The problem of power system harmonics has been recognized at least since the. The problem of power system harmonics has been recognized at least since the. The problem of power system harmonics has been recognized at least since the. 0253 2 + 0. Harmonics are currents or voltages with frequencies that are integer multiples of the fundamental power frequency. The current harmonics induced by the non-linear load such as VSDs (variable speed drives). Harmonic in the Nominal Current. You may need to tweak the width to trade off noise elimination vs. Current waveform with active PFC. Joseph Fourier (1768–1830) and other mathematicians performed basic calculations of harmonics. The power system network that weaves about the United States is by far the largest intercoimection of a dynamic system in existence tck date. These passive power filters are used in control of harmonics in industrial and commercial power systems. How to Calculate Harmonics. 1 thg 1, 2023. • Cyclic loads may need regen unit or brake chopper. The power factor is an important parameter, describing the ratio between effective power and apparent power. We can go back to the early 20 th Century and the advent of the vacuum tube, for example, to identify some of the first power quality issues. Figure 1. Step 2 Calculate the phase angles for both the actual and desired power factors (a typically desirable power factor is 0. The state of the harmonics in the system can be expressed in many ways and the first is the Total Harmonic Distortion or THD. Switching action with PWM or PFM pulse trains. Harmonic Analysis. 01642 +0. Harmonics in Power System - an overview | ScienceDirect Topics TABLE I: HARMONIC VOLTAGE LIMITS Apart from these harmonic limits for the individual harmonic voltages, also a limit for the to-tal harmonic distortion (THDU) is defined. • Sizing of Active Filters. The causes and effects of these issues are often complex. However, they can be complex to design and implement. Capacitor bank: I have a capacitor bank in my system. 97) Step 3. The harmonic load flow combines the network impedance with harmonic. In power systems, non-linear loads are permanently connected, unlike transients and other distortions are produced. Following equation or formula is used for RF Harmonics Calculator. Nov 07, 2019 · A power system harmonic is defined as a component of a periodic wave having a frequency that is an integral multiple of the fundamental power line frequency of 60 Hz. 7 thg 9, 2021. information to calculate the parameters of. The level of voltage or current harmonic distortion existing at any one point on a power system can be expressed in terms of the total harmonic distortion (THD) of the current or voltage waveform. The following are the basic steps involved in design of single tuned or detuned power system harmonic filter calculation. Special types of. Knowing the existence and the extent of harmonic frequencies is important as they affect the entire power system. The watt is the standard metric unit used to express power. In electrical networks, harmonic currents are injected into the network by non- linear loads such as power electronic equipment, arc furnaces, saturating inductances, and so on. Harmonics are a mathematical way of describing distortion to a voltage or current waveform. Determine the system parallel resonant frequency and identify if any potential issue exist. A harmonics analyzer is the most effective instrument for performing detailed analysis of power quality to determine the wave shapes of voltage and current on respective frequency spectrums. The formula for power is work divided by time, or P = w / t. The 7. Power System Harmonics is a real point of concern for Electrical Engineers. But these are led to an increase in power losses, equipment will be damaged because of overloads, distortion in voltage. Input the fundamental voltage and individual harmonic voltages to compute results also to view a waveform plot based on the input values. Using harmonic measurement in power systems, we can perform a detailed analysis of power quality and efficiency, detect and determine harmonics, take corrective actions, reduce power bills, and improve equipment and machine life. Using this data, the harmonic ratio function calculates a value from 0% to 100% to indicate the deviation of non-sinusoidal and sinusoidal waveform. Jan 12, 2020 · Harmonics are a mathematical way of describing distortion to a voltage or current waveform. The newer FX Impact MKII, FX. Knowing the existence and the extent of harmonic frequencies is important as they affect the entire power system. A harmonic analyzer is also useful in instances where the lack of obvious symptoms prevent you from determining if harmonics are a cause for concern. . Mar 20, 2022 · The experimental results of the proposed system are presented for 20 kW output power with the system overall efficiency around 95. Do harmonics cause power loss? The simulation results show that harmonic distortion in distribution systems can increase power losses up to 20%. This method is robust and more efficient in solving HLF. li jn lz jn lz. . pornoprima