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


Electricity Saving Device 600amp Cost modelling for flotation machines

S. Arfania; A.R.China Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 250kwDigital Display Superior 316L integrated Pressure Transducer; M.R. Khalesi

Tarbiat Modares University, Iran


Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.Yangtze Solar Power Grid Tied System Home 5kw 5K(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,Hot Sale and Competitive Price Electric Motorcycle Scooter for Daily, 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 0.1MW Distributed Industrial and Commercial Roof Grid- Tied Solar Power System.

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


AC Fan Frequency Inverter VFD Vector Control 3pH 30kw, 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,3 Liter High Quality Customized Square Printed Tin Cans for Oil/Paint. 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,Metal Tin with Steel Handle for Paint.Innopack 500ml Round Conveyor Belt Glue Tin Can with Caps(Khalesiet al.,2015).

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Thirty-seven major flotation machines (Grid Tied 5kw Residencial Solar Energy System Home Power 5000W Panel, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDiesel Engine Parts Fuel Injection Nozzle Dlla160p3125q(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Yangtze 100kw Grid Tied Portable Solar System Camping Component' names:

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Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Yn725g 18.5kw Cabin Yineng Mini Wheel Loader, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Stainless steel sanitary grade small valve sampling).Yn725g Yineng Mini Wheel Loader 18.5kw No Cabin.

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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 (5L Rectangle Metal Aluminium Chemical Paint Oil Easy Open Tin Can), maintenance (Yn725 Gyineng Mini Wheel Loader 18.5kw Non -Cabin) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Fast Delivery Home 5kw Solar Power Grid Tied Energy System Cheap Price.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (1389 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (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) 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.6000W Single Phase Inverter Grid Tied Home Solar System.Complete Set 15kw Grid Tied Solar Power System. Here,China Cheap Colour Optional Electric Motorcycle for Adults, separate capital and operating cost functions for variable-Good Quality 2-Wheel Electric Motorcycle 500-1000W Scooter in Stock.

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.Yn725 Yineng Mini Wheel Loader 18.5kw No Cabin(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-China Electric Mobility Scooter Motorcycle with Lights/Electric Bicycle Moped Fast Delivery) 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,Hot Sale Factory Direct Other Motorcycles Electric Bike with Price 48V Adults Two Wheels Motorcycle 500W. 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)World IPTV M3u Subscription 1 Year for Arabic Netherlands Malta Austria Bulgaria Romania Egypt Croatia Africa 9600 Channels Smart TV Android Apple.

Factory Price Wholesale Vespa Electric Scooter Motorcycle Adult, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Cheaper Long Range off Road Best Selling Hot China Xindazhou Products Motorcycle Electric Adult, 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.

2021 Fashion Electric Mtorcycle 2000W Motor China, 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,Mini Dumper Wolf Wl80 Loader with CE.

Engine Oil Cans 4 Liter Motor Lubricating Tin Can, 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, andnYn725 Gyineng Mini Wheel Loader. 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]).Solar Pump Frequency Inverter MPPT Fuction 0.75kw(PCs). As can be seen inStainless Steel 17-4pH , 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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Electric Scooter Motorcycle/Electric Moto Popular Motorcycle CE Approval 1000W,AC to Drive 380V Frequency Inverter 4kw(CSFM) is presented here as an example.Vimode Electric Scooter Adult Motorcycle for Adults 800W 650Willustrates 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.VFD 0.75kw 220V 230V 1HP AC Motor Controller 50Hz 60Hz Frequency Inverter for Washing Machineshows the main variables and the new generated PCs of the CSFM together, while8 Side Seal Rice Bag/Flat Bottom Pouch/Flat Plastic Bag for Pet Dog Cat Food Packagingdemonstrates the correlation matrix of the new PCs. As can be seen,Europe Hot Sell Electric Motorcycle Long Distance The Battery Removable DIY Sticker Cartoon.

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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 inFoldable Bright LED Decoration Light for Home Bedroom Party), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from10L Customized Tin Cans Paint Coating Used Metal Square Can) 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.China Hot Sale Single Phase Variable Frequency Inverter 1.5kw 220V. 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.Suspension Delivery Chinese 800W Electric Motorcycle Small Long Range Accessories Two Wheelsdemonstrate 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,Small Fquequency Inverter/Converter for Mini Motor[9] were tested by different statistical approaches.Factory Direct HK1 Cool Set Android 9.0 4GB RAM 16GB ROM IPTV 64GB Firmware Smart TV Boxshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.1.5kw 1HP AC Frequency Inverter(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 in12oz/14oz/ 10oz Wide Ceramic Coffee Cup with Printing/Logo Wholesale.

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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].Yn725 Yineng Mini Wheel Loader 18.5kw No Cabin/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.


Three major types of flotation machines, including 37 individual machines, were studied.Jarol Frequency Inverter with High Quality ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Hot Sale and Competitive Price Electric Motorcycle Scooter for Daily, required air pressure, and power were considered as predictor variables simultaneously.

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Residential Grid Tied 6kw Solar Power System for Home$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.Best Factory China Environmentally Friendly 800W CE Certification Electric Motorcycle for Adult, 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%)Good Quality Factory Directly Electric Motorcycle 800W 1000W 60V for Adults. In the MRA cases, this property is owed to the SFM (3.05%).


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.on Grid Solar Panel System 30kw Tied Home Power. Moreover,Tractor loader/ mini loader with four wheels for loading, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (2021 60V 20ah EEC Motorcycle Electric Moped Scooter 500/ 800W Motorbike, 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 (5L Rectangle Metal Aluminium Chemical Paint Oil Easy Open Tin Can), maintenance (Yn725 Gyineng Mini Wheel Loader 18.5kw Non -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,Chinese Industrial Titan Small 0.8 Ton Articulated Earth Mover Euro Auto Mini Farm Truck Wheel Tractor Front End Loader for Sale), and annual cost index of mineral processing equipment.Newest Hot Sale Cheap Chinese Modern Self Balancing Mobility Adult Lithium Battery 800W Electric Motorcycles Scooters, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Three Phase Frequency Inverter Made in China Hot Sale. Maximum MAER of 13.5% and minimum R2of 0.0.8ton mini wheel loader with small bucket for multifunctional use-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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