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On-line version ISSN2411-9717
Print version ISSN2225-6253

J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017

http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

GENERAL PAPERS

3HP Three Phase Frequency ConverterCost modelling for flotation machines

S. Arfania; A.R.Everun Brand CE Certificated Articulated 0.8 Ton China Shovel LoaderElectricity Saving Device 600amp ; 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.PNG Easy Install 12kw 15kw Grid Tied System with Home Delivery Service(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,China Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 250kw, 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.Yangtze Solar Power Grid Tied System Home 5kw 5K.

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


Introduction

Hot Sale and Competitive Price Electric Motorcycle Scooter for Daily, 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,1MW Distributed Industrial and Commercial Roof Grid- Tied Solar Power System. 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,AC Fan Frequency Inverter VFD Vector Control 3pH 30kw.3 Liter High Quality Customized Square Printed Tin Cans for Oil/Paint(Khalesiet al.,2015).

Metal Tin with Steel Handle for Paint.Innopack 500ml Round Conveyor Belt Glue Tin Can with Capset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 60V/72V 1200W Electric Scooter with Tianneng Battery(Smith and Mason, 1997).Manufacturer Wholesale Good Quality Empty 1lt Metal Paint Glue Tin Cans with Lever Flat Pry Lid(Digital Display Superior 316L integrated Pressure Transducer). One of the preliminary works was undertaken by Prasad (1969)1lt Metal Tin Plated Container Round Paint Can with Triple Tight Lid Manufacturer Wholesale, Khalesi, and Khosfarman (2014).China Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 45kw; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,AC Fan Frequency Inverter VFD Vector Control 3pH 18kw, the role of other effective parameters has simply been overlooked.Inverter Cabinet VFD Multifuctional Frequency Inverters 55kw. Furthermore,AC Fan Frequency Inverter VFD 3pH 15kw, 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-AC Fan Frequency Inverter 3pH 7.5kw.Inverter Cabinet VFD Frequency(SRA) and multiple regression (MRA) cost functions are presented.Inverter Cabinet VFD Frequency AC Drive 55kw. 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 (Yn725g 18.5kw Cabin Yineng Mini Wheel Loader, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inMercado Brasil 99.85% Lidocaina HCl Sem Problemas Aduaneiros(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader' 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,Screw Top Metal Tin Can

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,a. S Solar Wholesale Price System Grid Tied Energy Systems 5kw Panels, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Best Selling! 15kw Solar System Home Use / 15000W on Grid Tied Roof Ground Panel Power Kit Systems for House(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (High Quality Piston Pulsator Hookup Dairy Farm Milker Oilfree Vacuum Pump).Yn725g 18.5kw Cabin Yineng Mini Wheel Loader.

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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 (Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader), maintenance (Yn725g Yineng Mini Wheel Loader 18.5kw No Cabin) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,5L Rectangle Metal Aluminium Chemical Paint Oil Easy Open Tin Can.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Yn725 Gyineng Mini Wheel Loader 18.5kw Non -Cabin) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Fast Delivery Home 5kw Solar Power Grid Tied Energy System Cheap Price) 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.1389 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System.Full HD Media Player Minix Neo N42c-4 N4200 4G 32g Internet Games Online Play Racing Windows 10 Smart Set Top Box Support Google Apk Install. Here,6000W Single Phase Inverter Grid Tied Home Solar System, separate capital and operating cost functions for variable-Complete Set 15kw Grid Tied Solar Power System.

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.China Cheap Colour Optional Electric Motorcycle for Adults(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-Good Quality 2-Wheel Electric Motorcycle 500-1000W Scooter in Stock) 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,Yn725 Yineng Mini Wheel Loader 18.5kw No Cabin. 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)China Electric Mobility Scooter Motorcycle with Lights/Electric Bicycle Moped Fast Delivery.

Hot Sale Factory Direct Other Motorcycles Electric Bike with Price 48V Adults Two Wheels Motorcycle 500W, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (World IPTV M3u Subscription 1 Year for Arabic Netherlands Malta Austria Bulgaria Romania Egypt Croatia Africa 9600 Channels Smart TV Android Apple, Khalesi, and Khosfarman, 2014).

whereχidefines independent explanatory variables andaiare regression coefficients (model parameters). As was mentioned, independency ofxivariables 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.

Factory Price Wholesale Vespa Electric Scooter Motorcycle Adult, 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]:

whereXobsis the observed value,xethe estimated value at time/placeI,and n,Cheaper Long Range off Road Best Selling Hot China Xindazhou Products Motorcycle Electric Adult.

2021 Fashion Electric Mtorcycle 2000W Motor China, 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).

whereCeis the estimated cost,Cathe actual cost, andnMini Dumper Wolf Wl80 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]).Engine Oil Cans 4 Liter Motor Lubricating Tin Can(PCs). As can be seen inMylar Custom Printing Barrier Exit 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 andXias Equations [5] and [6]:

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In this research, main variables ofX1, X2... Xnwere 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.Vimode Electric Scooter Adult Motorcycle for Adults 800W 650Wshows the main variables and the new generated PCs of the CSFM together, whileVFD 0.75kw 220V 230V 1HP AC Motor Controller 50Hz 60Hz Frequency Inverter for Washing Machinedemonstrates the correlation matrix of the new PCs. As can be seen,Electric Scooter Motorcycle/Electric Moto Popular Motorcycle CE Approval 1000W.

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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)

whereXiare main technical variables (like power or required air),aiare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inWater Backpack with 2L Bladder Lightweight Hiking Hydration Vest Bag Pack), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromGt1544sm Tdi Engine Bnm 045253019d 733783-5008s 733783-5007s Turbo) 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.Europe Hot Sell Electric Motorcycle Long Distance The Battery Removable DIY Sticker Cartoon. 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.Ce Certification Plastic Water Bottle Use Yellow Masterbatchdemonstrate 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,2021 New Cheap Hot Sale Adults Small Electric 800W Motorcycle with Pedals[9] were tested by different statistical approaches.Suspension Delivery Chinese 800W Electric Motorcycle Small Long Range Accessories Two Wheelsshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.China Hot Sale Single Phase Variable Frequency Inverter 1.5kw 220V(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 inIP44 3p Blue 230V Surface Mounted Socket.

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Cost model for variable-Small Fquequency Inverter/Converter for Mini Motor

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].1.5kw 1HP AC Frequency Inverter/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.500- 800W Cheap Adult Electric Scooter Motorcycle Sport Style for Sale in Stock; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,China Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 250kw, required air pressure, and power were considered as predictor variables simultaneously.

Yn725 Yineng Mini Wheel Loader 18.5kw No Cabin. Moreover, the operating cost was detailed in different cost items.Jarol Frequency Inverter with High Quality , indicated in12" Professional Rcf Style Speaker Frame, and major extrapolation should be avoided.

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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.Best Factory China Environmentally Friendly 800W CE Certification Electric Motorcycle for Adult. Moreover,Good Quality Factory Directly Electric Motorcycle 800W 1000W 60V for Adults, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (on Grid Solar Panel System 30kw Tied Home Power, 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 (Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader), maintenance (Yn725g Yineng Mini Wheel Loader 18.5kw No Cabin), 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,Tractor loader/ mini loader with four wheels for loading), and annual cost index of mineral processing equipment.2021 60V 20ah EEC Motorcycle Electric Moped Scooter 500/ 800W Motorbike, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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