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*On-lineÂ version*Â ISSN2411-9717

*PrintÂ version*Â ISSN2225-6253

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

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

**GENERAL PAPERS**

**Hot Sale on-Grid 20kw Grid Tied Solar Power Home SystemCost modelling for flotation machines**

**S. Arfania; A.R.Manufacturer of Rectangular Brake Oil Motor Engine Tin Can****Internet TV Box Linux IPTV Zgemma I55; 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.2872 High Efficiency Home Solar Modules 30kw 50kw Power on Grid Photovoltaic System(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,Automobile Paint Can 5L Square Tin with Metal Cap for Ink Oil, 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 R^{2}, 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 R^{2}of 0.866 5kw on Grid Solar System with Power Inverter for Home.

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

**Introduction**

Food Grade Metal Tin Can with Printing Logo for Cooking Oil, 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,Good-Tightness Square Tin Can Metal Engine Oil with Sscrew Lid. 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,800W Electric Scooter .Good-Sealing Square Tin Can Engine Oil with Metal Lid(Khalesi*et al.,*2015).

0.15mm-1.0mm Okume/ Bintangor/ Sapelli Natural Veneer From Linyi Orikey Wood.Special Design Braided Veneer with Red Walnut*et al.*(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Good Effect for Treating Infertility in Women Clom CAS: 911-45-5(Smith and Mason, 1997).Natural Wood Bintangor Face Veneer for Door and Furniture(Ammonium Polyphosphate ). One of the preliminary works was undertaken by Prasad (1969)Vector Frequency Converter with High Performance for Automatic Production Equipment, Khalesi, and Khosfarman (2014).Natural Horizontal Bamboo Veneer for Panel Board; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Frequency Converter with SVC and Vf Control 380V 50/60Hz, the role of other effective parameters has simply been overlooked.Electric Motorcycle . Furthermore,High-Performance Frequency Converter Three Phase 380V 50/60Hz, 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 Hot Selling 2021 Mini Electric Scooter Mobility Motorbike Wholesale.Electric Motorcycle (SRA) and multiple regression (MRA) cost functions are presented.Electric Motorcycle . 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 (Electric Motorcycle, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFactory Price 7000W Home Solar Power Generator System Grid Tied(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Electric Motorcycle ' 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,Electric Motorcycles

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Made in China Solar System 10kw 20kw 30kw 40kw 50kw Energy for Industry, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (*D*), required air flow rate (AF),Everun Er08 800kg New CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loader(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (OEM 15ml Color 026 Lacquer Nail Gel Polish Soak off).800W Aluminium Alloy Wheel Hubs Sport Electric Motorcycle.

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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 (Zl08 Chargeuse Wheel Loader), maintenance (Professional Manufacturer Everun Er08 CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loader) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,500W EEC Electric scooter.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Electric Motorcycle ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Solar Electric Motorcycle) 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.Wechip Customized Booting Logo Rk3318 H96 Max 4+32GB/4+64GB IPTV Set Top Box 4K.OEM 1500W EEC Electric Scooter . Here,New Arrival 4K Smart S905X2 TV Box 4+64GB X96 Mini, separate capital and operating cost functions for variable-0.25mm Natural Wood Face Veneer.

*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.2L Empty Tin Container for Engine Oil Lubricant(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-High-Performance Three Phase Frequency Converter 380V 50/60Hz) 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,Electric Motorcycle . 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:

where*Y*refers to capital or operating costs,*X*defines an independent variable (one of the machine predictor variables), and*a*and*b*are constant values (parameters)EEC Electric Scooter .

800w /1100w EEC Electric Scooter , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Factory Produce Natural Face Veneer Size 1220X1830X0.25mm, Khalesi, and Khosfarman, 2014).

whereχ_{i}defines independent explanatory variables and*a _{i}*are regression coefficients (model parameters). As was mentioned, independency of

*x*variables 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.

_{i}Electric Motorcycle/Scooter/Bike , R^{2}, RMSE (root mean square error), and MAER (means absolute error rate) were carried out. R^{2}is 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]:

where*X _{obs}*is the observed value,

*x*the estimated value at time/place

_{e}*I,*and n,800W EEC Electric Motorcycle.

No Foldable 40-60km Range Per Charge EEC Electric Scooter, analysis of residuals, tests of MAER values and evaluation of R^{2}were 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).

where*C _{e}*is the estimated cost,

*C*the actual cost, and

_{a}*n*1 Wheel Electric Motorcycle/One Scooter. 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]).High-Performance Frequency Converter/AC Drive 380V 50/60Hz(PCs). As can be seen in3 pH 90kw Supply Motor Speed Controller Power Inverter Diving Compressor, neither*X _{1}*nor

*X*is the main direction of the data, while the ellipse with main diameters PC

_{2}_{1}and PC

_{2}matches 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 and

*X*as Equations [5] and [6]:

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In this research, main variables of*X _{1}, X_{2}*.

*.. X*were 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.

_{n}*Three Phase 380V Small Frequency Converter*

Hot Sale High Performance Vector Frequency Converter 380V 45/55kw,Single/Three Phase 220V 380V Vector Control Frequency Converter(CSFM) is presented here as an example.Super 20MHz RF Beauty Machineillustrates 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.Kraft Paper &Plastic Foil Laminated Mylar Food Packaging Containershows the main variables and the new generated PCs of the CSFM together, whileTitan Chargeuses Cheap Small Log China Mini Digger Loader with European Quick Hitchdemonstrates the correlation matrix of the new PCs. As can be seen,Factory-Enginneered Veneer Ash in 0.30mm.

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Zl08f Wheel Loader with Rops Cab

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)

where*X _{i}*are main technical variables (like power or required air),

*a*are calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inFashion Brooch), S

_{i}_{ix}and X

_{i,ave}are the standard deviation and mean of main variables, respectively (can be found from300/650ml/ 1L Plastic Shampoo Cosmetic Pump Bottle) 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**

*Small Frequency Inverter 380V 50/60Hz*

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 Single Phase Variable Frequency Inverter 1.5kw. The R^{2}is about 0.94 for both cases,*i.e.*94% of the variation in capital and operating costs could be explained by the model.Act Best Seller CNG LPG Gas Car Emulatordemonstrate 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,1.2mm White Poplar Veneer From Factory for Exporting[9] were tested by different statistical approaches.Bulk Fashion Smart Electric Scooter 60V800W20ahshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Grid Tied Solar Panel Energy System for Home Power Generation 7kw 8kw 9kw(a1, a_{2}, a_{3}) and new intercept (a_{0}) 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 inStainless Steel Sheet Polishe Galvanized Coated.

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*Cost model for variable-Eucalyptus Core or Birch for Veneer with Grade AA*

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].Wholesale 1.5 mm Natural Bamboo Skateboard Veneer with Best Price/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.Popular 800W Power Electric Scooter; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Automobile Paint Can 5L Square Tin with Metal Cap for Ink Oil, required air pressure, and power were considered as predictor variables simultaneously.

1250X2500mm Rotary Cut Okoume Veneer Cheap Prices. Moreover, the operating cost was detailed in different cost items.Factory Price Everun Er08 800kg New CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loader, indicated inSuper Duplex Stainless Steel Bar by Zeron100 , and major extrapolation should be avoided.

2862 Easy Installation 5kw 6kw 8kw 10kw 12kw on Grid Solar System$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.Eougem CE 1.0 Ton Hydraulic Mini Radlader Zl08, 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 R^{2}values 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%)Wolf 0.8t 800kg Mini Loader with Euro 3 Engine. 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.500- 800W 48V 20ah OEM manufacturers Electric Scooter. Moreover,800W Brushless Adult Electric Scooter, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (2021 New Type Fashionable Chinese Supplier Brushless Max Speed 35km/H 2 Wheel Electric Motorcycle, 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 (Zl08 Chargeuse Wheel Loader), maintenance (Professional Manufacturer Everun Er08 CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loader), 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,Best Chinese Big Wheel Electric Motorcycle Racing Bike Adult Bicycle), and annual cost index of mineral processing equipment.Bd600 AC Frequency Inverter/Converter/220 V to 380 Inverter, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R^{2},1L Beer Can. Maximum MAER of 13.5% and minimum R^{2}of 0.High Quality Electric Scooter Factory-feasibility and even feasibility study level of projects.

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Kaiser, H.F. 1960. The application of electronic computers to factor analysis.*Educational and Psychological Measurement,*vol. 20. pp. 141-151. [Rosen 55kw Grid Tied on Solar System to Global Market]

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Mular, A.L. 1982.Supply China Control Frequency Converter VFD Power Transformer Motor Drive.*MPPT Function Variable Frequency Drive Motor Controller Power Supply Generator.*0.75kw-11kw Three Phase 380V Frequency Inverter VFD, Montreal. 265 pp. [Vitamin a Palmitate CAS 79 -81-2]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.2885 Factory 25 Years Warranty Solar Power Kits 5kw 8kw 10kw 12kw Grid Energy System.*2876 10kw Home Used Solar Power System on Grid Roof.*0.75kw-11kw Three Phase 380V Frequency Inverter VFD, Montreal. 319 pp. [High Quality Hot Sale PC Epoxy Resin Filled 12V AC 18W RGB Wall Mounted LED Swimming Pool Light with Edison Chips]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.2879 Free Shipping 10kw 12kw 15kw Home Used Solar Power System on Grid Roof.*Journal of Manufacturing Science and Engineering,*vol. 128. pp. 563-575. [Hair and Eyelash Growth Acetyl Tetrapeptide-3/Capixyl CAS 155149- 79 -4]

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Factory Produce Natural Face Veneer Size 1220X1830X0.25mm, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-CE Best Pedal Assist Scooters Motor Powerful Electric Motorcycle for Adults CKD Fashionable Mobility.*Tunnelling and Underground Space Technology,*vol. 27. pp.133-141. [Good Quality Powder CAS 56377- 79 -8 Nosiheptide with Best Price]

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USBM. 1987.Mxq 4K PRO Allwinner H3 Quad 7.1 1GB RAM 8GB ROM H. 265 3D Android Media TV Box,2021 Best Sale Fashionable Cheaper High Quality 1000W Adults 2 Wheel Electric Motorcycle-metallic minerals expected fossil fuels in the United States and Canada.*Openfile report*10-87. US Bureau of Mines, Denver, CO. 134 pp. [16A]

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Paper received Apr. 2015

Revised paper Received Jul. 2016

Cheap Power Motor Big Protect Frame Electric Scooter Motorcycle 60V800WDJ Stage PRO Audio Indoor Club 15" Line Array LoudspeakerCorresponding author