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925 Solid Silver Beads
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
Yangtze 10kw Grid- Tied Solar SystemCost modelling for flotation machines
S. Arfania; A.R.2021 New Cheap Hot Sale Adults Small Electric 800W Motorcycle with PedalsTUV Certificate Gried Tied on Grid 20kw Solar PV System; 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.China Hot Sale Single Phase Variable Frequency Inverter 1.5kw 220V(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,Small Fquequency Inverter/Converter for Mini Motor, 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 0.1.5kw 1HP AC Frequency Inverter.
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
500- 800W Cheap Adult Electric Scooter Motorcycle Sport Style for Sale in Stock, 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,Yn725 Yineng Mini Wheel Loader 18.5kw No Cabin. 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,Jarol Frequency Inverter with High Quality .Linyi 9mm/12mm/15mm/18mm Pine/Bintangor/Okoume Film Faced Plywood(Khalesiet al.,2015).
China Hot Sale Frequency Converter/Inverter 380V 50/60Hz.Residential Grid Tied 6kw Solar Power System for Homeet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Pneumatic Electric Portable Truck Car Frame Beam Metal Coding Machine Marking Coder(Smith and Mason, 1997).Best Factory China Environmentally Friendly 800W CE Certification Electric Motorcycle for Adult(High Quality 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warranty). One of the preliminary works was undertaken by Prasad (1969)Good Quality Factory Directly Electric Motorcycle 800W 1000W 60V for Adults, Khalesi, and Khosfarman (2014).on Grid Solar Panel System 30kw Tied Home Power; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Tractor loader/ mini loader with four wheels for loading, the role of other effective parameters has simply been overlooked.2021 60V 20ah EEC Motorcycle Electric Moped Scooter 500/ 800W Motorbike. Furthermore,Chinese Industrial Titan Small 0.8 Ton Articulated Earth Mover Euro Auto Mini Farm Truck Wheel Tractor Front End Loader for Sale, 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-Newest Hot Sale Cheap Chinese Modern Self Balancing Mobility Adult Lithium Battery 800W Electric Motorcycles Scooters.Three Phase Frequency Inverter Made in China Hot Sale(SRA) and multiple regression (MRA) cost functions are presented.0.8ton mini wheel loader with small bucket for multifunctional use. 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 (Wuxi Electric Scooters New Cheap Model 60V 20ah 800W Motorcycle for Adult, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHDPE Water/Gas Supply Pipe Extrusion Machinery(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;2 Wheel Electric Motorcycle with Lead Battery' 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,Cheap Commercial Plywood for Construction Decoration and Furniture Use
►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Kodi TV Box Fully Loaded Chrome Android 9.1 OS T95 Max H6 4G 32g Internet Satellite, blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Solar Panel System 20kw Grid Tied Home Power 20 Kw Energy(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Plug Insert Socket IEC 60320 C8).20kw Grid Tied Solar System.
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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 (Soft Starter Small Frequency Converter Mini Inverter AC Motor Speed Controller), maintenance (Cheap Price Origin Brushless 800W Motor Electric Motorcycle Made in China) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Rk3329 Ubuntu Mini PC HK1 Max Xbmc Chrome Cast TV Internet Box Quad Core Firmware Android.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (220VDC to 220VAC Variable Frequency Inverter) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Solar Pump Inverter 1.5kw AC Drive Frequency Welding Machine) 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.Electrical VFD Frequency Inverter Three Phase 220V 380V 7.5/11kw for Solar Pump.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin. Here,380V 400Hz 3p AC Drive Hot 15kw Frequency Converter, separate capital and operating cost functions for variable-Single Phase Input and Output 220V Able 640 Static Frequency Converter 400Hz.
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.3 Phase Mini AC DC Frequency Inverter Motor Speed Controller Power Supply 5.5kw-110kw(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-VFD Frequency Converter Inverter for Constant Pressure Water Supply) 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,AC Drive Solar Pump Inverter 220V 380V Three Phase Inverters. 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)7.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump.
large cabin and powerful engine Customized 0.8ton mini wheel loader, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Qingzhou 0.8ton Shovel Loader Small Front with Bucket for Sale, 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.
Eougem 0.8ton Articulated Payloader Zl08 with Changchai Engine, 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,AL908 0.8ton Wheel Loader Machinery for Sale.
Chinese Everun Zl08 800kg 0.8 Ton Compact Small Mini Wheel Loader with Snow Bucket, 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, andn800kg China Small Front High Quality Wheel Loader for Sale in Europe. 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]).Melamine Glue WBP Commerical Plywood(PCs). As can be seen inThe Use of Tiletamine Xylazine Anesthesia for Feral Cat Guideline CAS: 14176-50-2, 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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E0 Glue White Bleached Poplar Plywood Bb/Bb Grade High Quality Carb Certificated,18mm Brown Film Faced Finger Jointed Plywood for Concrete Formwork(CSFM) is presented here as an example.Outdoors Professional/PRO Audio 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.Cheap Price Fertilizer Ammonium Sulphate Steel Gradeshows the main variables and the new generated PCs of the CSFM together, whileDsola Chinese Supplier Multipurpose Mc4 Y Branch Connectordemonstrates the correlation matrix of the new PCs. As can be seen,18mm Embossed Melamine Faced Commercial Plywood for Furniture Making.
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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 inSilicone Cold Shrink Tubing for Telecommunication Infrastructure), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromWolf 0.8t Mini Loader with Grass Fork) 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 0.9mm E1 Glue Bintangor Plywood Board. 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.New Condition Large Capacity Mini Truck Dumperdemonstrate 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,E0 12mm Good Quality Melamine Laminated Plywood for Furniture Produce/Baby Room[9] were tested by different statistical approaches.Solar Tool Set/Bad/Box Cable Stripping Wire Cutter Mc4 Connector Spanner Wrench for PV System Panel 14-10AWG 2.5-6mm2shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.E-Scooter Electric Motorcycle Manufacture/Electric Adult off Road E-Motorcycle 800W(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 in12 Inch Beauty Girl Dol Rubber & Plastic Toys.
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Cost model for variable-AC Drive
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].Hot Sale 60V 800W Brushless Motor Two Wheel Electric Motorcycle/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.Sell Well 800W 60V Electric Motorcycle for Daily Riding; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Small Fquequency Inverter/Converter for Mini Motor, required air pressure, and power were considered as predictor variables simultaneously.
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Rosen 8kw Grid Tied on Solar Panel 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 0.0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump, 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%)12kw Grid Tied Complete Set Easy Installation Solar Energy System for Home Use or Industrial. 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.Grid Tied 11kw Solar Panel System Home Commercial Power Supply. Moreover,5kw Grid Tied Solar Power System for Home Use, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (12kw Grid Tied Solar System, 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 (Soft Starter Small Frequency Converter Mini Inverter AC Motor Speed Controller), maintenance (Cheap Price Origin Brushless 800W Motor Electric Motorcycle Made in China), 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 Frequency AC Drive Pure Sine Wave Inverter Mini Water Pump Motor Controller), and annual cost index of mineral processing equipment.200cc/300cc Adults Racing Go Kart for Sale Ce Certificate, and over- extrapolation could result in misguiding estimates.
The MAER, RMSE, R2,Water Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersible. Maximum MAER of 13.5% and minimum R2of 0.0.4kw 0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump-feasibility and even feasibility study level of projects.
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Qingzhou 0.8ton Shovel Loader Small Front with Bucket for Sale, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-24watt IP68 Resin Filled Flat LED Swimming Pool Underwater Light.Tunnelling and Underground Space Technology,vol. 27. pp.133-141. [3X3 LCD wall panel surveillance digital display screen]
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Paper received Apr. 2015
Revised paper Received Jul. 2016
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