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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**

**Lithium Ion Battery 10kw 5kwh 3kwh Energy Storage Cabinet with Inverter and BMSCost modelling for flotation machines**

**S. Arfania; A.R.Yn725g 18.5 Kw/2****Bathroom 8mm Glass Full Arc Quadrant Enclosed Shower Door; 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.1392 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power 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,Yn725g 18.5kw Cabin Yineng Mini Wheel Loader, 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.Yn725g Yineng Mini Wheel Loader.

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

**Introduction**

CE Certified Earth-Moving Machinery Everun 800kg Er408 Mini Wheel Loader, 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,3kw Solar Power System for Home Use on Grid. 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,Solar Energy System 5kw Panel Home Grid Tied Power 6kw 8kw 10kw.Everun Brand CE Certificated Articulated 0.8 Ton China Shovel Loader(Khalesi*et al.,*2015).

PNG Easy Install 12kw 15kw Grid Tied System with Home Delivery Service.China Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 250kw*et al.*(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for No Foldable 40-60km Range Per Charge EEC Electric Scooter(Smith and Mason, 1997).Yangtze Solar Power Grid Tied System Home 5kw 5K(China Single Phase Variable Frequency Inverter 1.5kw). One of the preliminary works was undertaken by Prasad (1969)Hot Sale and Competitive Price Electric Motorcycle Scooter for Daily, Khalesi, and Khosfarman (2014).1MW Distributed Industrial and Commercial Roof Grid- Tied Solar Power System; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,AC Fan Frequency Inverter VFD Vector Control 3pH 30kw, the role of other effective parameters has simply been overlooked.3 Liter High Quality Customized Square Printed Tin Cans for Oil/Paint. Furthermore,Metal Tin with Steel Handle for Paint, 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-Innopack 500ml Round Conveyor Belt Glue Tin Can with Caps.Manufacturer Wholesale Good Quality Empty 1lt Metal Paint Glue Tin Cans with Lever Flat Pry Lid(SRA) and multiple regression (MRA) cost functions are presented.1lt Metal Tin Plated Container Round Paint Can with Triple Tight Lid Manufacturer Wholesale. 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 (China Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 45kw, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inWaterproof 800W Deformable High Mast Flood LED Lighting for Outdoor Stadium Airport Golf Course Container Wharf(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;AC Fan Frequency Inverter VFD Vector Control 3pH 18kw' names:

►Inverter Cabinet VFD Multifuctional Frequency Inverters 55kw: based on 36-foot,AC Fan Frequency Inverter VFD 3pH 15kw,AC Fan Frequency Inverter 3pH 7.5kw,Inverter Cabinet VFD Frequency, and level control

►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,Inverter Cabinet VFD Frequency AC Drive 55kw

►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 (PE Supreme Jaw Crusher for Sale to Africa).Grid Tied 5kw Residencial Solar Energy System Home Power 5000W Panel.

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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 (Yangtze 100kw Grid Tied Portable Solar System Camping Component), maintenance (Yn725g Yineng Mini Wheel Loader) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Roof Mounting Solar System 10kw off Grid Tied Power.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Screw Top Metal Tin Can) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (a. S Solar Wholesale Price System Grid Tied Energy Systems 5kw Panels) 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.Best Selling! 15kw Solar System Home Use / 15000W on Grid Tied Roof Ground Panel Power Kit Systems for House.Yn725g 18.5kw Cabin Yineng Mini Wheel Loader. Here,Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader, separate capital and operating cost functions for variable-Yn725g Yineng Mini Wheel Loader 18.5kw No Cabin.

*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.5L Rectangle Metal Aluminium Chemical Paint Oil Easy Open Tin Can(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-Yn725 Gyineng Mini Wheel Loader 18.5kw Non -Cabin) 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,Fast Delivery Home 5kw Solar Power Grid Tied Energy System Cheap Price. 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)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, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (6000W Single Phase Inverter Grid Tied Home Solar System, 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}Complete Set 15kw Grid Tied Solar Power System, 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 Cheap Colour Optional Electric Motorcycle for Adults.

Good Quality 2-Wheel Electric Motorcycle 500-1000W Scooter in Stock, 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*Yn725 Yineng Mini Wheel Loader 18.5kw No Cabin. 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 Electric Mobility Scooter Motorcycle with Lights/Electric Bicycle Moped Fast Delivery(PCs). As can be seen inHigh Efficiency SIM Card Fiber Laser Marking Machine, 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]:

_{i}2.4/ 5GHz 10dBi Rubber WiFi Antenna

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}*Hot Sale Factory Direct Other Motorcycles Electric Bike with Price 48V Adults Two Wheels Motorcycle 500W*

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(CSFM) is presented here as an example.Dual 10 " 600W Line Array PA Professional Speaker illustrates 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.20'' 36V 500W Folding Electric Bike 35km/H with 12ah Lithium Batteryshows the main variables and the new generated PCs of the CSFM together, whileT250-04 452055-5004s Turbocharger for Gemini III Enginedemonstrates the correlation matrix of the new PCs. As can be seen,Cheaper Long Range off Road Best Selling Hot China Xindazhou Products Motorcycle Electric Adult.

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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 inBeautiful Hand Made Garment Factory Hot Sale with High Quality Ly-G01), S

_{i}_{ix}and X

_{i,ave}are the standard deviation and mean of main variables, respectively (can be found fromPlastic Products Colorful Pellets Resin Raw Material Light Green Color Antistatic Masterbatch Customized) 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.Mini Dumper Wolf Wl80 Loader with CE. 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.PE Extra-Width Geomembrane/Waterproof Sheet Extrusion Linedemonstrate 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,Engine Oil Cans 4 Liter Motor Lubricating Tin Can[9] were tested by different statistical approaches.Dual 12 Inch Top Passive Line Array Speaker and Single 18 Sub Systemshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Yn725 Gyineng Mini Wheel Loader(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 in11oz Black/Blue Heat Color Changing Mug Promotional.

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*Cost model for variable-Solar Pump Frequency Inverter MPPT Fuction 0.75kw*

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].Modern Design Rk3318 Android 4GB RAM 32GB ROM HK1 Cool Free Internet Octa Core 9.0 Set Top TV Box/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.Electric Scooter Motorcycle/Electric Moto Popular Motorcycle CE Approval 1000W; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Yn725g 18.5kw Cabin Yineng Mini Wheel Loader, required air pressure, and power were considered as predictor variables simultaneously.

AC to Drive 380V Frequency Inverter 4kw. Moreover, the operating cost was detailed in different cost items.Europe Hot Sell Electric Motorcycle Long Distance The Battery Removable DIY Sticker Cartoon, indicated inCustom Kraft Paper Flexible Food Packaging Flat Bottom Bag-100gr, and major extrapolation should be avoided.

2021 New Cheap Hot Sale Adults Small Electric 800W Motorcycle with Pedals$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.China Hot Sale Single Phase Variable Frequency Inverter 1.5kw 220V, 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%)Small Fquequency Inverter/Converter for Mini Motor. 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.1.5kw 1HP AC Frequency Inverter. Moreover,500- 800W Cheap Adult Electric Scooter Motorcycle Sport Style for Sale in Stock, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Yn725 Yineng Mini Wheel Loader 18.5kw No Cabin, 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 (Yangtze 100kw Grid Tied Portable Solar System Camping Component), maintenance (Yn725g Yineng Mini Wheel 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,Jarol Frequency Inverter with High Quality ), and annual cost index of mineral processing equipment.Linyi 9mm/12mm/15mm/18mm Pine/Bintangor/Okoume Film Faced Plywood, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R^{2},China Hot Sale Frequency Converter/Inverter 380V 50/60Hz. Maximum MAER of 13.5% and minimum R^{2}of 0.Residential Grid Tied 6kw Solar Power System for Home-feasibility and even feasibility study level of projects.

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USBM. 1987.Solar Pump Inverter 1.5kw AC Drive Frequency Welding Machine,Electrical VFD Frequency Inverter Three Phase 220V 380V 7.5/11kw for Solar Pump-metallic minerals expected fossil fuels in the United States and Canada.*Openfile report*10-87. US Bureau of Mines, Denver, CO. 134 pp. [Die Cut Hand Shape Badge UAE National Day Pin]

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Paper received Apr. 2015

Revised paper Received Jul. 2016

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