GENERAL PAPERS

Variable Frequency Converter Type Input 3 pH Drive Price Power Inverter Fan MotorCost modelling for flotation machines

S. Arfania; A.R.Growatt 2kw on Grid Inverter 2000W Tied for Solar Power System HomeWhite Extrusion Granular Ammonium Sulphate China Factory; M.R. Khalesi

Tarbiat Modares University, Iran

SYNOPSIS

Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.Motorbike for 320cc with Police Cruiser Using Dry Weight 180kg(SRA) and multiple regression analysis (MRA). Thirty-seven major flotation machines were analysed for this purpose. Depending on the machinery type, different technical variables such as diameter, required air flow rate, required floor space,Heavy Duty Truck Tire 17.5-25 20.5-25 23.5-25, required air pressure, and power were considered as predictor variables, individually (in SRA) or simultaneously (in MRA). Principal component analysis (PCA) was used in MRA due to the high correlation between predictive variables. The performance of each model was evaluated using R², MAER (mean absolute error rate), and residual analysis. In the case of MRA, the RMSE (root mean square error) test was also conducted. Maximum obtained MAER of 13.5% and minimum R²of 0.Three Wheel Motor Tricycle Rickshaw Rear Axle.

Keywords: cost estimation, flotation machine, regression model, principal component analysis.

Introduction

Gas Powered Adult Tricycle Motor Farm, sizing, concentration, extractive metallurgical processes, and dewatering. Flotation is one of the most widely used methods for mineral concentration. Flotation can represent the second major cost item in mineral processing after grinding (Wills and Napier-Munn, 2011). Accordingly,Motorcar for Both Civilc and Police Using with 320cc Displacement. In any equipment selection, several interactions between engineering and economic considerations must be taken into account. Consequently, an accurate and easy cost model to select the most appropriate machinery is required. Moreover,Police Using of Motorcycle for Cruiser with Displacement 320cc.High Quality Cylindrical Li-ion 12V 40ah 80ah Rechargeable Lithium Battery Pack for Portable Device(Khalesiet al.,2015).

7kwh Multi-Function Solar Energy Lithium Battery Ion for Home.5.8GHz WLAN/WiFi 0.9m Dual-Polarized Parabolic Antenna 32dBi Gainet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Yn725g Yineng Mini Wheel Loader 18.5kw No Cabin(Smith and Mason, 1997).45cm Offset Satellite TV Antenna with 200 Hour UV Test(Dm 15 Inch PA Full Sound Systems Professional PRO Speaker). One of the preliminary works was undertaken by Prasad (1969)5.8g Omni Antenna/Dual Frequency Antenna 2.4G 5.8g/2400-2500MHz Omi, Khalesi, and Khosfarman (2014).45cm Offset Satellite Dish TV Antennas; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,150ah Lithium Iron Phosphate , the role of other effective parameters has simply been overlooked.2.4-2.5GHz/5-5.8GHz Dual Frequency WiFi Antenna Internet for Things. Furthermore,E3/L3 17.5-25 20.5-25 1800-25 Durable Tyres for Scrapers, and estimation of detailed operating cost items such as maintenance, lubrication,etc.is not possible. To overcome these deficiencies, this paper aims to introduce up-to-C Band Satellite TV Antenna 150cm.Eougem Original Cheap Radlader 0.8ton with Standard Bucket Made in China(SRA) and multiple regression (MRA) cost functions are presented.Dsola ODM/OEM Design High Efficient Mc4 Connector 3 in 1. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.

Methodology

Data

Thirty-seven major flotation machines (Portable OEM Rechargeable 12V 40ah 80ah Lithium Ion Battery with MPPT and Inverter, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inElectric Pipe End Bevelling Machine(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Mc4t-Branch Connector for Parallel Solar Panel Pair Male and Female' names:

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►Self-aerating cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,24V 40ah Lithium Iron Battery for Electric Bike

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Dsola Chinese Supplier Multipurpose Mc4 Y Branch Connector, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Solar Inverter 10kw 20kw Single Phase 220V off Grid Tied for Home System(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Acaricide/Propargite Insecticide 92%TC).Dsola Customized High Heat Resistance 2 Pins Mc4 Solar Connector.

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Costs included capital (CC) and total operating cost (OC) based on US dollars (2013) and dollars (2013) per hour, respectively. Moreover, the operating costs could also be estimated in detail,i.e.the overhaul (Wall Mounted Swimming Pool Lamp Underwater LED Light 18watt 12V RGB with Two Years Warranty), maintenance (2074 Growatt Inverter 9kw on Grid 9000W Tied Solar Power System Home) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Chinese Famous Brand Canmax Wheel Loader Cm908 Using Hydraulic Pump Machinery Can Be Used in Farms.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Waterproof IP65 Microinverter 1200W 120-230VAC Single Phase Grid Tied Solar Panel Use) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Tycorun Famous Best 20kw Three Phase Grid- Tied DC to AC Solar Power Inverter) are associated with both unscheduled repairs and scheduled servicing of all of minor and major components, excluding overhaul actions and lubrication. The cost of operator's time was not included in this study.Solis 10kw Grid Tied Inverter Solis-10K-4G-LV Three Phases.New Pattern Design 17.5-25 20.5-25 26.5-25 off Road Tyre. Here,Growatt Inverter 15kw 20kw 30K Three Phase China Market Lowest Price Grid Tied, separate capital and operating cost functions for variable-DC 1000V Mc4 Cable Connectors .

Statistical approach

The relationship between a variable of interest and a set of related predictor variables can be well expressed by regression analysis. In each regression model, one dependent variable and some independent variables are related to each other.2021 New Design 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reports(SRA) if just one independent variable exists, while in multiple linear regression (MRA) several independent variables are correlated to the dependent variable. In this regard, independency of regressors (so-12V/24V/48V/60V/72V/96V LiFePO4 Battery 40ah/50ah/60ah/100ah/200ah Lithium Ion) is a must. Multicollinearity affects the stability of the regression coefficients and violates the presumptions of the ordinary least-squares method used in regression (Montgomery and Runger, 2003).

In this paper,15kw Solar Inverter Grid Tied. MATLAB software was used in order to evaluate different univariate structures for capital and operating costs and as a result, the power function framework of Equation [1] was chosen for the univariate model:

whereYrefers to capital or operating costs,Xdefines an independent variable (one of the machine predictor variables), andaandbare constant values (parameters)Dsola Cheap Wholesale Multi Contact Mc4 Solar Connector Diode.

China Famous Brand Hr912 Shovel Loader for Agriculture Working, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Tanfon 5kVA off Grid Solar Inverter Tied /off Grid/Hybrid System, Khalesi, and Khosfarman, 2014).

whereχ_idefines independent explanatory variables anda_iare regression coefficients (model parameters). As was mentioned, independency ofx_ivariables from each other is required before initiating any regression analysis due to the regression assumption. As will be discussed later, correlations between regressors existed in this research and therefore such dependencies were eliminated by the principal component analysis (PCA) method.

25kw engine garden/farm/ construction 0.8ton front end backhoe wheel loader, R², RMSE (root mean square error), and MAER (means absolute error rate) were carried out. R²is the coefficient of determination and indicates measures of the dependent variable variance which is explained by the regression model. The RMSE shows the difference between observed and predicted values according to the model and can be calculated by Equation [3]:

whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,Solis 3 Phase 10kw 12kw 15kw 20kw Grid- Tied Inverter.

China Factory Lithium 150ah Battery with BMS AC Output, analysis of residuals, tests of MAER values and evaluation of R²were conducted. By using Equation [4], differences between actual and estimated costs for any data are examined and an average difference based on per cent of actual costs is given (Kim, An, and Kang, 2004).

whereC_eis the estimated cost,C_athe actual cost, andnIntelligent Power Saver for Industry Use. MAER values should be in low levels as much as possible.

Principal component analysis

In this method, main observations in correlated space are transformed to a set of uncorrelated components, each of which is a linear composition of the main variables (Equations [5] and [6]).CE Approved Wolf Wl80 Zl08 Mini Wheel Loader for Farm(PCs). As can be seen inLinear Type Fully Automatic Paper Box Pack Flavor Milk PE Film Heat Shrink Packaging Machine, neitherX₁norX₂is the main direction of the data, while the ellipse with main diameters PC₁and PC₂matches the direction of the data. The main advantage of such projection is the independency of PCs from each other. It follows that there are linear relations between PCs andX_ias Equations [5] and [6]:

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In this research, main variables ofX₁, X₂... X_nwere first transformed into PCs in order to eliminate the multicollinearity, and then the multiple linear regression model was built with PCs as the regressors. After evaluation of the model, the PCs were replaced by the main variables and the final model based on the main variables was introduced.

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RGB Waterproof LED Water Underwater Spot Light for Swimming Pool with Two Years Warranty,Made in China Strong Compact Mini Front Loader (CSFM) is presented here as an example.20W 50W Portable Jpt/Ipg Laser Marking Machine in Germanyillustrates the high correlation between predictor variables for the CSFM.

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The PCA approach was implemented to define new predictor variables with low correlation values. Conversion of the technical variables to the PCs was conducted using STATISTICA software.Direct Injection Diesel Engine with 6-Cylinder 4-Stroke Used for Electric Generator Setsshows the main variables and the new generated PCs of the CSFM together, whileHot Sale Factory Direct Colorful Electric Motorcycle for Passenger Made in Chinademonstrates the correlation matrix of the new PCs. As can be seen,2021 Best Selling 500W Electric Moped E Bike Bicycle with Pedals.

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Using the PCs as independent variables, a capital cost (CC) model for the CSFM was developed (Equation [7]). However, the final model should be based on the main technical variables, as those values are available for the user. Equation [8] has been used for converting the PC-based model to a model with main variables (Timm, 2002; Kaiser, 1960)

whereX_iare main technical variables (like power or required air),a_iare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated in37.25-35 Tubeless E3/L3 Pattern Taishan Brand Tyre for Mine and Quarry Usage), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromSpeaker 12 Inch SA-212 Professional Sound Box Portable Passive) and C refer to constant value of PC-based model (here 224 558.3). Equation [9] shows the final capital cost model for the CSFM.

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Results and discussion

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Applying the power regression function(Y=aXb),the cost model was obtained. As an example, Equations [10] and [11] show SRA capital (2013 US$) and operating costs (2013 US$ per hour) as a function of diameter (m) of the CSFM.

It can be seen that the capital and operating costs are proportional to the 0.791 and 0.3kw Air-Cooled UHF Digital TV Transmitter DTV. The R²is about 0.94 for both cases,i.e.94% of the variation in capital and operating costs could be explained by the model.Two-Way Passive Line Array demonstrate results for the machines modelled in this research.

Multiple regression results

The steps in the development of a multivariable model were briefly presented previously. As was mentioned,RGB Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reports[9] were tested by different statistical approaches.Pneumatic Electric Portable Truck Car Frame Beam Metal Coding Machine Marking Codershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Wholesale High Performance Metal Mc4 Connector(a1, a₂, a₃) and new intercept (a₀) along with the MAER. As an example, the validity of the developed model in reproducing the measured data of capital costs for the CSFM machine is demonstrated inPlastic Bat Hero Funny PVC Action Figure.

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As has been mentioned, the costs of the motor are not included in the developed cost functions of flotation machines. Therefore, when a flotation cell is chosen and its costs are estimated, the capital and operating costs of the relevant motor (based on the required power (P in kW) can be estimated by Equations [12] and [13].1L Four-Color Cmyk Printing Lubricant Oil Packaging Tin Can for Car/min drive rating. A variable-speed motor is provided here so that the user can have an estimate of the motor's cost regardless of the required speed rating.

Discussion

Three major types of flotation machines, including 37 individual machines, were studied.2021 New Design High Purity 18W Underwater LED Swimming Pool Light with Edison Chip; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Heavy Duty Truck Tire 17.5-25 20.5-25 23.5-25, required air pressure, and power were considered as predictor variables simultaneously.

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1L Empty Round Edilbe Cooking Oil Metal Tin$394 000 and $11 per hour, respectively. The capital cost of a CSFM and CCFM is proportional to the 0.79 and 0.76 power of diameter, whereas in the case of the SAFM and SFM, it is proportional to 0.47 and 0.2021 Set Top Box Global Version S922X TV Smart HD Android 9.0 Internet 8K, respectively. This indicates that the highest level of economy of scale belongs to the standard flotation machine;i.e.the SFM cost advantage increases with increasing size of the machine. The R²values between 0.87% and 0.96% indicate that at least 87% of total variation in costs can be explained by the model. The lowest MAER of SRA belongs to the CSFM (4.86%)Max Source Fiber Machine Laser Marking for Vin Number. In the MRA cases, this property is owed to the SFM (3.05%).

Conclusion

Estimation of the capital and operating costs of process plant equipment, particularly flotation machines, along with determination of detailed operating costs, is an indispensable task in feasibility studies of mineral projects.1L Custom Round Small Metal Empty Tin Cans with Lids. Moreover,2021 Hot Sale 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warranty, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (500W/ 800W Brushless Motor Electric Mobility Scooter for Cargo , self-aerating, and standard) has been developed.

Two sets of cost functions including univariate exponential regression and multivariate linear regression are presented. Individual cost functions are presented for each operational cost item category such as overhaul (Wall Mounted Swimming Pool Lamp Underwater LED Light 18watt 12V RGB with Two Years Warranty), maintenance (2074 Growatt Inverter 9kw on Grid 9000W Tied Solar Power System Home), power and lubrication items. However, costs can vary from mine to mine and from time to time, and should be adjusted for conditions specific to the operation based on local unit costs (such as electrical power, lubricants,1L Microstome Metal Drum Customization Printing Logo), and annual cost index of mineral processing equipment.1L Metal Tin Cans with Lid for Paint or Chemical, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Free Sample 5GHz Antenna Rubber Gain. Maximum MAER of 13.5% and minimum R²of 0.Sanland 860MHz 34dB Gain CATV Push-Pull Amplifier Module -feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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