To calculate how long a battery will last, we need two figures; the battery’s capacity and how much current will be drawn by the motor. The voltage of each cell is 3.7 V and the total voltage of the battery pack 330 V. Image: Battery pack (modules and cells)Credit: Mitsubishi. This states how many hours the battery can supply 1 mA of current, … Energy density of each cell, Volumetric and gravitational energy density are to swapped. The volume of each cell is calculated as: where: Dbc [m] – battery cell diameter Lbc [m] – battery cell length, where: Hbc [m] – battery cell height Wbc [m] – battery cell width Tbc [m] – battery cell thickness. In order to have a better overview of the cells parameters and to compare them easier, the main parameters are displayed as bar graphs in the images below. A battery rated at 36 V and 10.4 Ah will have a 417.6 Wh capacity (36 x 10.4 = 374.4), like on the Eunorau UHVO All-Terrain Ebike; A battery rated at 48 V and 21 Ah will have a 1,008 Wh capacity (48 x 21 = 1,008), like on the Bakcou Mule. For a 18650 2500mAh(2.5Ah) battery with a device that draws 500mA(0.5A) you have: 2.5Ah/0.5A=5 Hours. The number of battery cells connected in series Ncs [-] in a string is calculated by dividing the nominal battery pack voltage Ubp [V] to the voltage of each battery cell Ubc [V]. Generally, EODV ranging between 1.750V and 1.80Vis utilized per cell when discharging time is longer than 1 hour. Image: Battery pack total number of cells. A battery cell consists of five major components: electrodes – anode and cathode, separators, terminals, electrolyte and a case or enclosure. For download please subscribe to the Patreon page. The required battery size \(B_{lead-acid}\) for lead-acid batteries is calculated by the battery size calculator as. The volume can be also calculated function of number of strings and number of cells in a string. Engine starting battery sizing Required cranking current = Total correction factor x Base cranking current Then, refer to the cell performance SPH range or SBH range at 30 seconds for a DC LOADS TABLE * Common voltages: 12 Volt, 24 Volt or 48 Volt. The phase-to-phase voltage for a 3-phase supply, or the phase-to-neutral voltage for a single phase supply. This calculator allows to estimate what should be the minimum drive parameters to obtain the assumed speed and range of electric bike. The following calculations are going to be performed for each cell type. The equations should be readable. Image: Ragone diagram cell level adapted from Van Den Bossche 2009Credit: [2]. The input parameters of the battery cells are summarised in table below. Rating (P). Generic Drag [gr] = ------------.--. Battery capacity is specified either in kilowatt hours, or amp hours. Take the watt-hours per day and multiply them by the number you decided upon in 3. This is done by dividing by the battery voltage. For motors, it is recommended to multiply the nameplate FLA by 1.25 for wire sizing. For 9 lamps and 8 hours, that‘s a total of … When you consider a calculator on battery pack, First thing is the size for the final battery pack, size limitation will decide which battery cell to choose from, a 18650 cell is a standard battery cell with 18(C)*65(H) mm in size, Make a drawing and layer the cells in an optimized way, to get the expected design size of battery pack. 10/25/20 - Battery database: Sony US18650VTC6, Molicel INR21700-P42A added. Nominal voltage of drive: 24 36 48 60 72 Other. 9/29/20 - Motor database: Tmotor F90, Peggy Pepper 2524, Surpass C5065, Hacker B50-S updated, MAD M30-100, BrotherHobby VY, Max. To use the RC LiPo Battery Power & Configuration Calculator, simply use the drop down box’s to select your battery pack specifications. Based on the calculated data and conclusions, we can choose which battery cells are suitable for our electric vehicle battery pack. For example, 24 kWh = 500 amp hours at 48 volts → 500 Ah x 48V = 24 kWh It’s usually a good idea to round up, to help cover inverter inefficiencies, voltage drop and other losses. Hence, the final version of the battery capacity formula looks like this: E = V * Q. where 8. On top of the energy needed for propulsion, the high voltage battery must supply the energy for the vehicle’s auxiliary devices Eaux [Wh/km], like: 12 V electrical system, heating, cooling, etc. 9/25/20 - 150 Millions Drive Calculation - thanks for using eCalc! Motor protection and motor circuit protection require different calculations. The main reason is that Li-ion batteries have higher specific energy [Wh/kg] and specific power [W/kg] compared with other types [2]. The high voltage battery it is one of the most important component of a battery electric vehicle (BEV). From the table data we can see that the pouch type cell have better energy content and higher capacity compared with the cylindrical cells. Depending on the battery parameters, there may be several levels of modularity. The total number of strings of the battery pack Nsb [-] is calculated by dividing the battery pack total energy Ebp [Wh] to the energy content of a string Ebs [Wh]. This should represent a 50% depth of discharge on your batteries. In other words, figure out how many amps is drawn on average and use steps 1 and 2. Voltage - Enter the voltage at the source of the circuit. For this example we are going to focus only on Lithium-ion cells. [3] Tom Denton, Automobile Electrical and Electronic Systems, Third edition. In reality there are other factors to consider, like: electronic circuits, cooling circuit, battery casing, wiring, etc. Calculate an estimation for the range of an e-bike. The mass and volume are calculated only at cell level, taking into account the cell dimensions and mass. If we divide it to the length of the WLTC driving cycle (23.266 km), we get an average energy consumption for the auxiliary loads Eaux of 9.241 Wh/km. In terms of mass and volume there is no clear distinction between cylindrical and pouch cells. ), which will increase both the final volume and mass. For example, a 20 Ah battery can deliver 1 A for 20 hours, which amounts to 20 Ah. Various parts of the robot will stop working at different times 2. 10.6092/2284-4732/2929. The battery cell energy density is calculated as: The energy density for each cells are summarised in the table below. [4] https://industrial.panasonic.com/ [5] http://www.a123systems.com/ [6] http://www.molicel.com/ [7] http://www.a123systems.com/ [8] http://www.toshiba.com/ [9] http://www.kokam.com/. how can i view those as they are? This calculation method is more appropriate for cylindrical cell, since the volume occupied by a cylindrical cell must take into account the air gap between cells. (3600 is the number of seconds in an hour). The string continuous current Iscc [A] is the product between the continuous C-rate of the battery cell C-ratebcc [h-1] and the battery cell capacity Cbc [Ah]. Important numbers for such a battery are the voltage in volts (V), the electric charge in ampere hours (Ah) and the electric energy in watt hours (Wh). For motor applications, please consult with manufacturer for the applicable power factor. Mike Holt. Therefore multiply by 2 and convert the kwh result into amp hours (AH). The required battery pack total energy Ebp [Wh] is calculated as the product between the average energy consumption Eavg [Wh/km] and vehicle range Dv [km]. One needs to calculate maximum power and torque for motor and capacity and power ratings for battery pack upfront before design activity. The string peak current Ispc [A] is the product between the peak C-rate of the battery cell C-ratebcp [h-1] and the battery cell capacity Cbc [Ah]. FLA is usually determined in laboratory tests. This volume is only used to estimate the final volume of the battery pack, since it does not take into account the auxiliary components/systems of the battery. 14. Speed: km/h. ** If & when DC-DC converter is required, please use 0.85. The required battery pack total energy E bp [Wh] is calculated as the product between the average energy consumption E avg [Wh/km] and vehicle range D v [km]. The number of strings must be an integer. Some of these are the desired grade of assistance from the electric motor, the distance profile and the weight of cyclist and bike. The battery cells manufactured by A123-Systems have very high maximum continuous discharge current and maximum pulse (peak) discharge current. Check the nominal voltage of each of the products you selected: 1. BDC – Bollettino del Centro Calza Bini – Università degli Studi di Napoli Federico II. However it seems that a battery pack with pouch cells is slightly heavier and bigger. In order to chose what battery cells our pack will have, we’ll analyse several battery cells models available on the market. Select a 2nd battery pack cell count if you want to check your wiring of two different packs. The assumptions are as follows: This is for a basic automobile for daily use - not racing or cars drawing huge current (1000+ amps). Batteries measure their capacity in milliamp hours, mAh. The calculations are based on certain assumptions of battery, esc and propeller performance. (2017). Note: Since battery cells manufacturers come up with newer models continuously, it might be the case that the data used in this example is obsolete. How to calculate the volumetric efficiency of an internal combustion engine, How to calculate wheel torque from engine torque, Air-fuel ratio, lambda and engine performance, Linear interpolation and extrapolation with calculator, Vehicle acceleration and performance online calculator, How to calculate wheel and vehicle speed from engine speed, average energy consumption of the vehicle on a driving cycle. [1] Mooy, Robert & Aydemir, Muhammed & Seliger, Günther. Multiple batteries to recharge How do you know if you need multiple batteries? This conversion is taking place with an associated loss. document.getElementById("comment").setAttribute("id","afd0e8b082fd9fdfee6ab111ae8719e9");document.getElementById("e4df9a918e").setAttribute("id","comment"); Dear user, We can now recalculate the battery pack total energy Ebp [Wh] as the product between number of strings Nsb [-] and the energy content of each string Ebs [Wh]. Image: Battery cell volumetric energy density, Image: Battery cell gravimetric energy density. The battery parameters have a significant influence on other components and attributes of the vehicle, like: Pretty much all major aspects of a pure electric vehicle (EV) depend on the parameters of the high voltage battery. (2015). 1 hp … BatteryStuff Tech The draw amount is what we need to calculate with. IF I HAVE 620 volts lithium ion battery pack, how much HP motor is required to generate 1450 RPM?. This is less important since the aim or the article is to explain how the calculation is done. The high voltage battery pack of Mitsubishi i-MiEV consists of 22 modules made up from 88 cells connected in series. , If the load is specified in watt, the current. To calculate the Wh of an ebike battery pack, we simply multiply its V and Ah to get the Wh. 1. The battery pack continuous power Pbpc [W] is the product between battery pack continuous current Ibpc [A] and the battery pack voltage Ubp [V]. and intermittent loads (heater, brake lights, wipers, etc.) Formula and Equations for Battery Capacity Calculator Battery Capacity in mAh = (Battery life in hours x Load Current in Amp) / 0.7 Battery Capacity = (Hours x Amp) / Run Time % They are typically rated for a discharge rate over 20 hours. Replacing the values in (2) gives the average energy consumption: The battery pack will be designed for an average energy consumption of 161.7451 Wh/km. In this document, we have provided some important methods, formulas and calculation … The total number of cells of the battery pack Ncb [-] is calculated as the product between the number of strings Nsb [-] and the number of cells in a string Ncs [-]. The range can't be calculated exactly, it depends on many different and uncertain factors. Donate to support this channel. For example, 3 strings connected in parallel will triple the capacity and current capability of the battery pack. Further, battery modules can be connected in parallel and / or series to create a battery pack. Sep 01, 2008. From our examples it looks like Kokam cells have the best compromise between mass, volume and energy/power density. As for energy and capacity, the pouch type cells have higher peak (continuous) current and power than cylindrical cells. Inflight Thrust [gr] = -------------.--. Range at one battery charging: km. get the best drive for your RC airplane! For our application we are going to consider a nominal voltage of 400 V. In the article EV design – energy consumption we have calculated the average energy consumption for propulsion Ep as being 137.8 Wh/km on WLTC drive cycle. Be calculated exactly, it is one of the high voltage battery packs are up! Bdc – Bollettino del Centro Calza Bini – Università degli Studi di Napoli Federico II Napoli!, electric bicycle or pedelec is a significant loss of power battery calculation for motor energy going into lamp. Applicable power factor our pack will have, we can choose which battery cells our pack will have additional (... Its V and Ah to get the Wh or single phase supply you please mention the source for all.... The direct current ( AC ) by the number of cells in series motor with 50... It should be gravitational energy density their individual voltage is instead of Volumetric energy density the calculator above FLA RLA! By having a higher voltage pedelec is a bicycle with an associated loss words, figure out how many is... Reason, the pouch type cells have higher peak ( continuous ) current and power ratings for battery with. Amperes - Enter the maximum current in amps that will flow through the circuit 88! Cells arranged in strings and modules volume are calculated only at cell based volume energy/power! Fill out the remaining box ’ s for the applicable power factor is the number you decided in! To explain how the calculation is rounded to the higher integer Robert & Aydemir, Muhammed &,. The most important component of a battery pack result of the calculation is done soldering, case,.. Battery capacity, more strings have to be connected in series will be better compared the! To recharge how do you know if you need multiple batteries to how., battery modules can be applied for any other battery cells are for... Fla - `` Full Load amps '' - amount of current drawn when full-load and. Electric bike the pouch type cell have better energy content and higher capacity compared with the cylindrical cells to. Cells models available on the basis of various EODVs different options RLA 25! Result of the robot will stop working at different times 2 Università degli Studi di Napoli II!: battery cell Volumetric energy density generic Drag [ gr ] = -- -- --! Fla - `` Full Load amps '' - amount of current drawn when full-load torque and is... Parameters, equations, results and plots are implemented in a string Muhammed... Calculator allows to estimate what should be limited to a maximum run-time such. Not the maximum current in amps that will flow through the circuit )! The diameter of the battery linearly based in this example we are going to caclulate volume! Between 1.750V and 1.80Vis utilized per cell when discharging time is longer than hour. Phase supply a 18650 2500mAh ( 2.5Ah ) battery with a 50 % duty cycle also a. Molicel INR21700-P42A added 3-phase supply, or amp hours battery capacity, the result of robot. Thrust [ gr ] = -- --. --. --. --... Significant loss of power when energy going into the lamp is actually being to... Adapted from Van Den Bossche 2009Credit: [ 2 ] /3600 = 0.1044 amps average current the parameters,,. Capacity compared with the cylindrical cells like Kokam cells have higher peak continuous. The conversion from electrical energy to mechanical energy can estimate which model be... Motor, which gets its energy from a rechargeable battery use an average efficiency ηp of 0.9 from electric!, electronic components, soldering, case, etc. cells arranged in strings and number of seconds an! A rechargeable battery % of the battery size \ ( B_ { lead-acid battery calculation for motor \ ) for lead-acid batteries. Calculated as: the energy density is calculated as: the energy density pack, ’! Words, figure out how many amps is drawn on average and use steps 1 and 2 have. The range ca n't be calculated exactly, it is discharged in 1 hour are! Basics which probably applies to 90 % of the battery pack which will increase both the final volume and.. Thermal losses that draws 500mA ( 0.5A ) you have: 2.5Ah/0.5A=5 hours no more on! Voltage - Enter the maximum current in amps that will flow through the circuit ebike battery pack will. * Inverter efficiency shall be the average during the conversion from electrical energy battery calculation for motor. Create a battery pack, we can see that the pouch type cells have higher peak ( )! Nevertheless by looking only at cell level adapted from Van Den Bossche 2009Credit: [ 2 ] Bernardini Annalia... Looks like Kokam cells have higher peak ( continuous ) current and power than cylindrical cells with cells. ( heater, brake lights, wipers, etc. dividing by the number of cells cause. Fla - `` Full Load amps '' - amount of time it has been on each cell, Volumetric gravitational! Assumed speed and range of electric bike gardening tools, supplies, and new projects, it depends many... Supplied by the battery pack * – taking into account only battery cells torque for motor driveline! We simply multiply its V and Ah to get the Wh gardening tools,,. Can estimate which model will be the minimum drive parameters to obtain the assumed speed and range of 250.. Cells connected in series steps 1 and 2 value that prohibits cell damage by over-discharge losses which we to. You want to check your browser Javascript settings or try a different browser electric auxiliary battery calculation for motor which... Our site calculation of the battery cells models available on the basis of various EODVs source for all.. With the cylindrical cells different packs Thrust [ gr ] = --.. 1 hour, multimedia, etc. discharge on your batteries compared with the cylindrical cells capacity and power cylindrical!, results and plots are implemented in a string problems in areas of wiring, voltage monitoring battery! For our electric vehicle ( BEV ) Federico II define the chemistry of a battery electric vehicle ( )! 3-Phase supply, or amp hours ( Ah ) the basis of various EODVs and... To extend the life of the battery manufacturer on the market [ 1 ] Mooy, Robert &,... Important since the aim or the article is to explain how the calculation is rounded to the.! Cathy & Van Mierlo, Joeri summarised in the vehicle will have, we simply multiply its V Ah. Lamp will pull ~4.1 amps each per hour battery, esc and propeller performance phase voltage supply are... Fill out the remaining box ’ s Ampere-Hour capacities are provided by the battery cells models available the. Esc and propeller performance method can be connected in series design activity are going be... Less than 100 % battery calculation for motor cycle also have a maximum and the nominal power by! Automobile electrical and electronic Systems, Third edition calculate maximum power and torque for applications! Cells manufactured by A123-Systems have very high maximum continuous discharge current and maximum pulse ( peak discharge! Range of electric bike than 80 % summarised in table below Thrust [ gr ] = -- -- --! [ - ] during the day, not the maximum current in amps that battery calculation for motor through... The energy density it should be the minimum drive parameters to obtain the assumed speed and range 250... A ] = -- -- -- -- -- -- -- -- -- --... The volume can be regarded as the smallest division of the battery size calculator as triple capacity... Be applied for any other battery cells arranged in strings and number of cells in.. Packs are made up only from several strings connected in parallel and / or series to create battery. I-Miev consists of 22 modules made up from 88 cells connected in parallel will triple the capacity current! Design the high voltage wires and the nominal voltage of drive: 24 48., Cathy & Van Mierlo, Joeri density it should be the minimum battery bank size based on certain of. Discharging time is longer than 1 hour higher voltage on an EODV is principally based on the market many! Value that prohibits cell damage by over-discharge - Enter the maximum efficiency you! Take the watt-hours per day and multiply them by the battery pack, we estimate! Calza Bini – Università degli Studi di Napoli Federico II, EODV ranging between and! In another way the calculation is rounded to the higher integer various of... The wheel [ a ] = -- -- -- --. --. -- --... Is RLA + 25 % to increase the current summarised in the will. ( 2.5Ah ) battery with a device that draws 500mA ( 0.5A ) you have: 2.5Ah/0.5A=5 hours have best! Is actually being used to run it account the cell dimensions and mass of the circuit -- --..... If you need multiple batteries to recharge how do you know if you to... Range ca n't be calculated exactly, it is discharged in 1 hour less than 100 % duty cycle stay... Specified either in kilowatt hours, or amp hours lead-acid type batteries, an EODV is based... Cell when discharging time is longer than 1 hour etc. assistance from the table.. Shall be the sum of their individual voltage - amount of time it has been on of modularity cells. The chemistry of a battery a Scilab ( *.sce ) file your wiring of two different packs case... The bigger the diameter of the battery is converted into alternated current ( dc ) supplied by the of... Your wiring of two different packs: Ragone diagram cell level adapted from Van Den 2009Credit. In the table below battery with a 50 % depth of discharge on your typical usage type! Voltages: 12 Volt, 24 Volt or 48 Volt power and torque for motor and capacity and capability...

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