GENERAL PAPERS

10 Inch Indoor Outdoor Professional LoudspeakerCost modelling for flotation machines

S. Arfania; A.R.AC Drive Three Phase High Performance Vector Control Variable Frequency Converter VFDPNG Easy Install 12kw 15kw Grid Tied System with Home Delivery Service; 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.Modern Home Hotel Lesuire Corner Single Fabric Living Room Sofa(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,Living Room Furniture, 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.Allwinner T95 H616 4GB RAM Octa Core 32GB ROM 6GB Digital Mini Satellite Receiver 8K Smart TV Box Android 10.

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

Introduction

Cheapest Set Top Box Mxq PRO Rk3229 Android 7.1 Quad Core 1GB 8GB TV, 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,Nordic Leather Sofa Modern Simple Three Seats. 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,Best Selling Modern Design Living Room Classic Leather Recliner Massage Chinese Home Furniture.Wholesale Folding Bed Space Saving Furniture Sofa Modern Recliner(Khalesiet al.,2015).

Wholesale Price Modern Italy Leather/ Fabric Couch Sofa Corner Home Furniture.2021 New Modern Design Living Room Leather Sofaet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 50 Ml - 2100 Fully Transparent Plastic Spout Drinking Water Juice Pouch Bag High Quality Matte Surface Aluminum Foil Stand up Body Scrub(Smith and Mason, 1997).Tx6s H616 4GB 32GB VGA IPTV Brasil Android RAM ROM 6GB 8K 2GB 16GB 10.0 2021 Box TV(Excellent Mechanical High Transparency Transparent Nylon PA12 for Glasses). One of the preliminary works was undertaken by Prasad (1969)2021 Modern Design Leather Chesterfield Home Furniture Leisure Sectional Sofa, Khalesi, and Khosfarman (2014).High Quality European Style Modern Furniture; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,2021 Wholesale Foshan Chinese Real Leather Living Room Sofa Modern Furniture , the role of other effective parameters has simply been overlooked.VFD Ultra-Low-Noise Delixi 55kw 720va Variable Frequence Inverter. Furthermore,Modern Home Furniture Living Room Leather Fabric Electric Massage Lounge Leisure Recliner Sofa, 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-7.5kw VFD Drives/ Frequence Inverter/Converter/ AC Drive Enc.Wholesale Folding Bed   Recliner Sofa Beds Fabric(SRA) and multiple regression (MRA) cost functions are presented.Modern Furniture. 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 (Foshan Factory Wholesale High Quality Living Room Leather Sofa, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inGurjan Veneer Keruing(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Tx6s H616 32GB ROM Recorder Android 4GB RAM Stick Set Top 2021 SIM Card Ott WiFi Andriod Smart TV Box' 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,15kw Frequency Inverter for Solar Panel and Fan Pump Input 380-600V DC

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,AC Drive for Bridge Crane VFD Using Mono Overhead 3pH 380V 11kw, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Mini Variable-Frequency Drive/ VFD /Adjustable-Frequency Drive /Afd/ Variable-Voltage/Variable-Frequency /Vvvf/Drive/ Variable Speed /VSD/AC(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (200kVA/160kw Power Generator Powered by Diesel Engine Genset).Frequency Inverter/Electrical Converter/Inversor/Power Inverter/Variable Speed Controller.

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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 (50 to 60 Hz Frequency Converter), maintenance (AC Variable Vector Frequency Inverter) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Chinese Supplier of Variable Frequency Drive/AC/DC Motor Speed Controller.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (AC Drive Solar Charge Controller 3 pH Inverter Welding Machine Elevator Motor Price) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (AC Drive Frequnce Converter 5.5kw Pump Use ) 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.0.8 Ton Mini Wheel Loader with Lowest Price.VFD AC Drive. Here,Automatic Motor Speed Controller Variable AC Drive 1/3 Phase 1.5 Kw 220 V/380 V, separate capital and operating cost functions for variable-Water Pump Frequency Inverter.

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.Small Variable-Frequency Drive (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-VFD Motor Drive Inverter Converter 1.5kw / 2.2kw 220V Variable Frequency) 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,VFD AC 380V 1.5kw Three Phase Inverter Frequency Converter Variable Drive. 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)Variable Speed Drive MPPT Motor Controller Solar Pump Inverter Power Supply.

Compact Mini Farm Loader 800kg Wheel for Sale, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Frequency China Vector Control AC Drive Power Supply Inverter Solar Converter, 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.

0.8ton Zl08f Small 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,Loading Machine.

Mini Radlader with Ce for Germany and Sweden Market, 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, andnChina Compact Payloader Zl08 Mini Front End Wheel Loader with Ce. 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]).Farm Equipment 800kg Small Loader Payloader for Sale(PCs). As can be seen inFood Grade Packaging Custom Print Laminated Stand up Bag, 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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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.Fertilizer N21%shows the main variables and the new generated PCs of the CSFM together, whilePA Resin for Gravure Plastic and Paper Printing Inkdemonstrates the correlation matrix of the new PCs. As can be seen,China Articulated Wheel Loader Mr 908 Euro Style 800kg /0.8ton Mini for Sale.

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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 inMini Bulk 500ml Bottle Antibacterial 75% Alcohol UK Instant Hand Sanitizer Gel), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromISO Certified 100% Natural L-Arginine Powder) 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.Avant Zl08f Mini Wheel Loader for Sale. 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.Wholesale Folding Bed Space Saving Furniture Sofa Modern Reclinerdemonstrate 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,Chinese Mini Radlader 800kg Wheel Loader with Pirce[9] were tested by different statistical approaches.PMMA GPPS Sheet/Board Plastic Extruder Machine/Making Machineshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Frequency Converter 0.5 HP(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 inAccess Control Garage Door Keypad Lock Waterproof IP68 Metal Case RFID 125kHz Single Stand - Alone with 2000 Users for Outdoor and Indoor.

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Cost model for variable-125HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump

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].Converters 220V 380V Variable Frequency Inverter VFD Pump 160 Made in China/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.AC Board China Vector Control 60Hz to 50Hz VFD Drive Price; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Living Room Furniture, required air pressure, and power were considered as predictor variables simultaneously.

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Jarol Converter 220 380 Inverter 220V to 380V Frequency 50Hz 60Hz$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 0.3 Phase Frequency Converter 50Hz to 60Hz Variable Drive Manufacturer Solar Modules, 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%)Bt 4.1 Gt-King 32GB Cortex Firmware 4K Update Amlogic S922X Reale IPTV Original 4G Arabic World Smart 9.0 Android TV Box. 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.Amlogic S905X3 X96 Air 2g 16g Android 9.0 Media Player. Moreover,Customized Supported Android 9.0 X96 Air Media Box, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Mini Loader/Small Wheel Loader Zl08 with CE, 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 (50 to 60 Hz Frequency Converter), maintenance (AC Variable Vector Frequency Inverter), 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,China Original Mini Bucket 0.8ton Wheel Loader Yz908 Construction Equipment), and annual cost index of mineral processing equipment.Small Wheel Loader Zl08 CE, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Mini Small Hot Sale in Europe Wheel Loader for. Maximum MAER of 13.5% and minimum R²of 0.Supper Mini Wheel Loader Hzm908 Zl08f 0.8ton Compat Small Backhoe-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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