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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

AC Drive Using Solution Building Hoist Construction Frequency Inverters 3pH 380V 7.5kwCost modelling for flotation machines

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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.Frequency Converter 60Hz 50Hz 150HP(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,Frequency Converter 60Hz 50Hz 125HP, 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.Frequency Converter 60Hz 50Hz 160HP.

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


Introduction

Frequency Converter 60Hz 50Hz 60HP, 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,Frequency Converter 60Hz 50Hz 75HP. 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,Frequency Converter 75HP Three Phases.Hot Sell for European Countries 48V 20ah Lithium Battery Fast Food Delivery Electric Motorcycle(Khalesiet al.,2015).

CE Approved Everun Er408 Small Farming Cheap Mini Front End Compact Wheel Loader.Yn725 Yineng Mini Wheel Loader 18.5kw Cabinet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5084 20W(Smith and Mason, 1997).Frequency Converter 50HP Three Phases(Customized 48V LiFePO4 Battery 50ah Lithium Ion for Solar Energy Storage System Inverter PV EV 2.5kwh 3kwh 5kwh). One of the preliminary works was undertaken by Prasad (1969)Everun Brand China New Product Er408t Mini Bucket Wheel Loader Price with CE Approved for Sale, Khalesi, and Khosfarman (2014).3HP Three Phase Frequency Converter; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Yn725 Yineng Mini Wheel Loader 18.5kw Cabin, the role of other effective parameters has simply been overlooked.10HP Three Phase Frequency Converter. Furthermore,957 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate, 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-China E-Bike Manufacturer Dropship Electro Motorcycle Electric Beach Cruiser Bicycle Chopper for Girls.Zl08 0.8t Hot Sale Small Yard Loader Mini Tractor Front End(SRA) and multiple regression (MRA) cost functions are presented.Wl80 Mini Loader with Yanmar Engine. 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 (Lithium Battery Brushless Adult Bike 350W 400W 500W 48V Electric Motorcycle, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPRO Audio Loudspeaker PA Speaker System 12&Rdquor & 15&Rdquor Line Array(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Solar Energy System 10kw 15kw Grid Tied Hybrid PV' 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,Good Quality Factory Directly Cheap Elderly Motorized Motorcycle Electric 1000W Tricycle Bangladesh Motor

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Everun Brand Mini Front End Loader 0.8 Ton Wheel, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Zl08 800kg China Small Garden Tractor with Front Loader Yard(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Homogenous Vinyl Roll Medicine Flooring for Hospital Hotel Operating Room).Hot Sale 48V 20ah Powerful Chinese Chopper Electric Motorcycle 350W for Adults.

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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 (Yn725 Yineng Mini Wheel Loader 18.5kw Cabin), maintenance (Bulk Fashion Smart Electric Scooter 60V800W20ah) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,962 Complete Solar System 40kw on Grid Home with High Quality.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (off Grid 20kw Solar System 20 Kw Panel Kit) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Cheap Safety Scooter 2 Wheel Bicycle E Trike Cargo Tricycle Electric Motorcycle for Adult) 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.Rosen 1kw Grid Tied on Solar System to Global Market.475 Alicosolar Good Quality 15kw on Grid Solar System 15000W Kit Mono Soalr Panel with CE/TUV/ISO for House Use. Here,959 33kw on Grid Solar Home System with Power Inverter, separate capital and operating cost functions for variable-498 Alicosolar Good Price 25kw on Grid Solar System 25000W Power Kit Mono Soalr Panel with CE/TUV/ISO for Home Use.

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.Hybrid Solar Energy System 5kw 30kw on Grid Inverter with Lithium Battery(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-955 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate) 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,0.18mm Zebra Wooden Veneer. 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)Europe Popular 5kw Grid Tied Home Solar Energy System with Ce.

High Grade Block Board for Furniture Produce, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (954 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate, 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.

952 Alicosolar 30kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate, 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,32oz Metallic Glue Tin Can_1liter with Screw Cap and Brush.

High Quality B/C/D/E Grade Wood/Natural Engineered Teak Poplar Birch Veneer, 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, andnDah Solar 100kw System Price on Grid Tied Inverter for Commercial 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]).China Factory Pricing Empty Round Food Grade Nut Tin Cans(PCs). As can be seen in2000kg Mini Cheap Price Nylon Wheel Hand Hydraulic Pallet Truck, 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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Oil Treatment Packaging Tin Container Can,Rosen 8kw Grid Tied on Solar System to Global Market(CSFM) is presented here as an example.1.5kw 220V Frequency Converter Single Phase 380 3illustrates 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.Factory Wholesale H10 H6 Alfawise GPU Mali T720 Android 4GB RAM 32GB ROM in Set Top Boxx99 Boxbox Box TVshows the main variables and the new generated PCs of the CSFM together, whileExcellent Quality Hydraulic Arm Cyl Seal for E307D Excavatordemonstrates the correlation matrix of the new PCs. As can be seen,Factory-Slicer Natural American Red Oak Veneer in 0.50mm.

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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 inLogistics Service FedEx Express From China to Haiti), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromDuplex Stainless Steel Sheet Super 2507) 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.Custom Waterproof and Oil Sealing Round Metal Tin Can. 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.Mc4y Solar System Waterproof Connectordemonstrate 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,CE Er08 Mini Wheel Loader with One-Year Warranty for Sale[9] were tested by different statistical approaches.2021 Hot-Sale Lt12 Dual 12" Concert Line Array Systemshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Innopack Tin Can with Brush Round Oil Cans(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 inLavender Essential Oil Long Lasting Fragrance Massage The Head Smear.

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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].2021 New Removable Battery 350W Motor Scooter Electric Motorcycle for Adult/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.3 Liter Tin Packing Chemical Can with Spout; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Frequency Converter 60Hz 50Hz 125HP, required air pressure, and power were considered as predictor variables simultaneously.

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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.Fluid Storage Containers Lubricants for Use. Moreover,0.8t 800kg Small Loader, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Factory Direct High Quality Glue Round Tin Cans with Brush, 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 (Yn725 Yineng Mini Wheel Loader 18.5kw Cabin), maintenance (Bulk Fashion Smart Electric Scooter 60V800W20ah), 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,350-1500W 48-72V Smart Cheap Motorcycle for Adults Heavy Duty Electric), and annual cost index of mineral processing equipment.Cute Street Electric Scooter with LED Light 60V800W20ah, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Lady's Smart Electric Scooter Motorcycle 60V800W20ah. Maximum MAER of 13.5% and minimum R2of 0.Reconstituted Composite Woven Veneer Braided-feasibility and even feasibility study level of projects.

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954 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-1.5kw 3phase Frequency Converter 50Hz to 60Hz.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Diesel Engine Parts Fuel Injection Nozzle 160sn827]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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