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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**

**500kw on Grid Tied Hybrid Solar Power Plant Station SystemCost modelling for flotation machines**

**S. Arfania; A.R.Frequency Converter 60Hz 50Hz 160HP****Solar Residential Wall Power Bank 3kwh LiFePO4 Rechargeablelithium Battery; 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.Frequency Converter 60Hz 50Hz 60HP(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 75HP, 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.Frequency Converter 75HP Three Phases.

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

**Introduction**

Hot Sell for European Countries 48V 20ah Lithium Battery Fast Food Delivery Electric Motorcycle, 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,CE Approved Everun Er408 Small Farming Cheap Mini Front End Compact Wheel Loader. 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,Yn725 Yineng Mini Wheel Loader 18.5kw Cabin.Frequency Converter 50HP Three Phases(Khalesi*et al.,*2015).

Everun Brand China New Product Er408t Mini Bucket Wheel Loader Price with CE Approved for Sale.3HP Three Phase Frequency Converter*et al.*(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Hot Selling 2ND Generation Ultrasound Bone Densitometer(Smith and Mason, 1997).Yn725 Yineng Mini Wheel Loader 18.5kw Cabin(Caprolactam Grade Ammonium Sulfate Soa Fertilizer Sulphate). One of the preliminary works was undertaken by Prasad (1969)10HP Three Phase Frequency Converter, Khalesi, and Khosfarman (2014).957 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,China E-Bike Manufacturer Dropship Electro Motorcycle Electric Beach Cruiser Bicycle Chopper for Girls, the role of other effective parameters has simply been overlooked.Zl08 0.8t Hot Sale Small Yard Loader Mini Tractor Front End. Furthermore,Wl80 Mini Loader with Yanmar Engine, 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-Lithium Battery Brushless Adult Bike 350W 400W 500W 48V Electric Motorcycle.Solar Energy System 10kw 15kw Grid Tied Hybrid PV(SRA) and multiple regression (MRA) cost functions are presented.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin. 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 (2385 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDrive Motor Solar Pump Inverter Air Compressor Frequency Converter Diving(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Red Oak Veneered MDF for Interior Design and Renovations' 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,Hot Sale 48V 20ah Powerful Chinese Chopper Electric Motorcycle 350W for Adults

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Yn725 Yineng Mini Wheel Loader 18.5kw Cabin, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (*D*), required air flow rate (AF),Bulk Fashion Smart Electric Scooter 60V800W20ah(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Dahua 700tvl 23X 36X Optical IR PTZ Dome Camera).962 Complete Solar System 40kw on Grid Home with High Quality.

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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 (off Grid 20kw Solar System 20 Kw Panel Kit), maintenance (Cheap Safety Scooter 2 Wheel Bicycle E Trike Cargo Tricycle Electric Motorcycle for Adult) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Rosen 1kw Grid Tied on Solar System to Global Market.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (475 Alicosolar Good Quality 15kw on Grid Solar System 15000W Kit Mono Soalr Panel with CE/TUV/ISO for House Use) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (959 33kw on Grid Solar Home System with Power Inverter) 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.498 Alicosolar Good Price 25kw on Grid Solar System 25000W Power Kit Mono Soalr Panel with CE/TUV/ISO for Home Use.Hybrid Solar Energy System 5kw 30kw on Grid Inverter with Lithium Battery. Here,955 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate, separate capital and operating cost functions for variable-0.18mm Zebra Wooden 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.Europe Popular 5kw Grid Tied Home Solar Energy System with Ce(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 Grade Block Board for Furniture Produce) 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,954 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate. 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)952 Alicosolar 30kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate.

32oz Metallic Glue Tin Can_1liter with Screw Cap and Brush, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (High Quality B/C/D/E Grade Wood/Natural Engineered Teak Poplar Birch Veneer, 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}Dah Solar 100kw System Price on Grid Tied Inverter for Commercial Use, 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,China Factory Pricing Empty Round Food Grade Nut Tin Cans.

High Performance 6kw Grid Tied Home Solar Energy System, 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*Oil Treatment Packaging Tin Container Can. 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]).Rosen 8kw Grid Tied on Solar System to Global Market(PCs). As can be seen inShrink Wrapping Machine for Water Packing , 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.

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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.Low Price Malonic Acid / Propanedioic CAS 141-82-2shows the main variables and the new generated PCs of the CSFM together, whileAluminum Foil Self Sealing Digital Plastic Packaging Bag Glossy Holographic Stand up Clear Front Laser Film Food with Zipperdemonstrates the correlation matrix of the new PCs. As can be seen,CE Er08 Mini Wheel Loader with One-Year Warranty 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)

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 inHigh Quality Spring Rocking Horse Outdoor Playground Playset), S

_{i}_{ix}and X

_{i,ave}are the standard deviation and mean of main variables, respectively (can be found from500W Air-Cooled Wide Band UHF Digital TV Transmitter DTV) 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.Alcohol/ Refrigerating Fulid Screw Top Can with Brush Wholesale. 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.Neodymium Double 10 Inch DSP Active Professional Powered Line Array Speakerdemonstrate 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 Removable Battery 350W Motor Scooter Electric Motorcycle for Adult[9] were tested by different statistical approaches.Waterproof IP66 800W Rotatable Outdoor High Mast Flood Lamp LED for Harbor Wharf Football Tennis Sport Court Stadium Airport Golf Course Lightingshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.3 Liter Tin Packing Chemical Can with Spout(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 inSpindleless Wood Veneer Peeling Machine.

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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].1gallon Round Metallic Tin Can with Metal Handle for Paint/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.Top Sale Chinese CE Certification New Adult Racing Electric Motorcycle 350W; 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 75HP, required air pressure, and power were considered as predictor variables simultaneously.

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Fluid Storage Containers Lubricants for Use$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 0.0.8t 800kg Small Loader, 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%)Factory Direct High Quality Glue Round Tin Cans with Brush. 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.350-1500W 48-72V Smart Cheap Motorcycle for Adults Heavy Duty Electric. Moreover,Cute Street Electric Scooter with LED Light 60V800W20ah, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Lady's Smart Electric Scooter Motorcycle 60V800W20ah, 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 (off Grid 20kw Solar System 20 Kw Panel Kit), maintenance (Cheap Safety Scooter 2 Wheel Bicycle E Trike Cargo Tricycle Electric Motorcycle for Adult), 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,Reconstituted Composite Woven Veneer Braided), and annual cost index of mineral processing equipment.Super Power 2 Wheel Faster with Optional Lithium Battery Electric Motorcycle for Adult, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R^{2},Roof Mounting 20kw Grid Tied Solar Power System Home. Maximum MAER of 13.5% and minimum R^{2}of 0.Yn725g Yineng Mini Wheel Loader 18.5kw No Cabin-feasibility and even feasibility study level of projects.

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Khalesi, M. R., Zarei, M. J.,Frequency Converter 60Hz 50Hz 160HP, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Zl08f Wheel Loader with Rops Cab.*Minerals Engineering,*vol. 81. pp. 103-108. [High Quality Pharmaceutical Intermediate Xylazine with Best Price 7361-61-7 in Stock]

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Mular, A.L. 1982.15HP Three Phase Frequency Converter.*Power Smart Electric Scooter with LED Light 60V800W20ah.*3HP Three Phase Frequency Converter, Montreal. 265 pp. [Yn725g Yineng Mini Wheel Loader 18.5kw Without Cabin]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.1HP Frequency Converter Vector Three Phase.*15HP Frequency Converter Vector Three Phase.*3HP Three Phase Frequency Converter, Montreal. 319 pp. [Ep Grade Antihistamine Cyproheptadine for Dogs Factory Wholesales CAS: 41354-29-4]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.2HP Frequency Converter Vector Single Phase.*Journal of Manufacturing Science and Engineering,*vol. 128. pp. 563-575. [Hot Sale Special Cooking Coconut Oil Tin Can Milk Tank Beverage Cans]

Noakes, M. and Lanz, T. 1993.Solar Energy System 5kw Panel Home Grid Tied Power 6kw 8kw 10kw.Home Use 6kw Grid Tied Solar Power System with High Performance, Carlton, victoria. 412 pp. [Titan Mini Loader 800kg New Front End Radloader with Spare Parts Best Shipping Agent Service]

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O'hara T. A. and Subolesk,i C.S. 1992. Costs and cost estimation.*Hot Sale 10kw 10000W off Grid Solar Power System Home Use.*vol. 1.4kw 3phase Frequency Converter 50Hz to 60Hz, Metallurgy and Exploration, Littleton, CO. Chapter 6.3, pp. 405-424. [0.25-1.0mm Hot Sale Natural Red Beech Veneer for Furniture]

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Prasad, L. 1969.Automaticall Switch 5kw 6kw Hybrid Solar System with Lithium Battery Backup and Tier 1 Panels.Round Tin Can for Food Packaging Empty Tinplate, Metallurgy and Petroleum, Montreal. pp. 3-15. [Solar Inverter Pump 15kw]

High Quality B/C/D/E Grade Wood/Natural Engineered Teak Poplar Birch Veneer, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-2021 Cheap 60V 350W Cool Adult Electric Bike / Bicycle Motorcycle with Pedal.*Tunnelling and Underground Space Technology,*vol. 27. pp.133-141. [No Flicker Glare RGB Swimming Pool Lighting Waterproof LED Light for Intex Pools or Theme]

High Quality B/C/D/E Grade Wood/Natural Engineered Teak Poplar Birch Veneer, Ar., Lashgari, A., Fouladgar, M.M., and Skibniewski, M.J. 2012. Estimating capital and operational costs of backhoe shovels.*Journal of Civil Engineering and Management,*vol. 18, no. 3. pp 378-385. [Hot Sale Metal Roofing Sheet with Zinc Coating: 40-200G/M2]

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Smith, A.E. and Mason, A.K. 1997. Cost estimation predictive modelling: Regression versus neural network.*The Engineering Economist,*vol. 42, no. 2. pp. 137-161. [Donbn Dz- 10 Two Way Full Range Professional KTV Speaker]

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USBM. 1987.Pencil Cedar Veneer Medium Denstiy Fiberboards for Stairs,Technical Wood Veneer MDF Boards for Cupboard-metallic minerals expected fossil fuels in the United States and Canada.*Openfile report*10-87. US Bureau of Mines, Denver, CO. 134 pp. [China Natural Slate Tiles for Flooring and Walls]

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Paper received Apr. 2015

Revised paper Received Jul. 2016

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