9+ Best Steam Pipe Sizing Calculators (2024)


9+ Best Steam Pipe Sizing Calculators (2024)

A software employed for figuring out the suitable diameter of piping for steam methods, this useful resource considers elements like steam circulation charge, strain, temperature, and allowable velocity to make sure environment friendly and secure operation. For example, a designer may use such a software to specify the proper pipe measurement for a brand new heating system in a constructing, stopping points like extreme strain drop or noisy operation.

Correct pipe sizing is crucial for steam system efficiency and longevity. Undersized pipes can result in excessive velocities, extreme noise, and strain drops that scale back system effectivity. Outsized pipes, whereas much less problematic operationally, improve materials prices and set up complexity. Traditionally, these calculations had been carried out manually utilizing complicated formulation and steam tables. Fashionable instruments streamline this course of, enhancing accuracy and saving vital engineering time. This cautious design apply prevents expensive rework and ensures secure and dependable steam supply for varied functions, starting from energy technology to industrial processes and heating methods.

The next sections will discover the important thing parameters thought of in these calculations, out there instruments and strategies, and sensible issues for implementing leads to real-world initiatives.

1. Steam Strain

Steam strain represents a crucial parameter inside steam system design and immediately influences pipe sizing calculations. Understanding its impression is key for choosing acceptable pipe diameters that guarantee environment friendly and secure system operation. Incorrect strain issues can result in catastrophic failures, underscoring the significance of correct calculations facilitated by a steam pipe sizing calculator.

  • System Efficiency

    Larger steam pressures usually correspond to larger vitality densities, enabling larger energy output or heating capability. Nonetheless, elevated strain necessitates bigger pipe diameters or thicker pipe partitions to resist the inner forces. A steam pipe sizing calculator considers this relationship, making certain pipe specs meet the required strain ranking and forestall leaks or ruptures. For instance, a high-pressure steam line in an influence plant requires considerably bigger piping than a low-pressure heating system in a residential constructing.

  • Velocity Management

    Steam velocity will increase with strain, assuming a relentless circulation charge. Extreme velocities can result in erosion, noise, and vibration throughout the piping system. Calculators incorporate velocity limits based mostly on {industry} requirements and finest practices, adjusting pipe diameter accordingly to take care of acceptable circulation traits. This prevents harm and ensures long-term system reliability.

  • Strain Drop

    Strain drop happens as steam flows by means of piping resulting from friction and different elements. Larger pressures typically expertise larger strain drops alongside a given pipe size. Correct pipe sizing minimizes this loss, maximizing vitality supply to the meant utility. Calculators account for strain drop calculations, permitting engineers to specify optimum pipe diameters that stability system effectivity with price issues. For lengthy pipe runs, this will considerably have an effect on the system’s total efficiency.

  • Security Concerns

    Working at larger pressures presents larger security dangers. Pipe wall thickness, materials choice, and correct joint design are essential for stopping failures. Calculators incorporate security elements based mostly on regulatory codes and {industry} requirements, making certain the chosen pipe measurement supplies an enough security margin for the desired working strain. This rigorous method minimizes the chance of accidents and ensures personnel security.

Correct consideration of steam strain in pipe sizing is important for a secure, environment friendly, and dependable steam system. A steam pipe sizing calculator integrates these elements, offering engineers with a strong software to find out optimum pipe diameters that meet efficiency necessities whereas adhering to security requirements. This meticulous method prevents expensive rework, minimizes operational points, and ensures long-term system integrity.

2. Steam Temperature

Steam temperature performs an important function in steam system design and is intricately linked to pipe sizing calculations. Temperature influences materials choice, insulation necessities, and total system effectivity. Correct temperature issues are important for making certain secure and dependable operation, making it a vital parameter inside any steam pipe sizing calculator.

  • Materials Choice

    Elevated steam temperatures necessitate supplies with ample power and resistance to creep. Larger temperatures typically require costlier alloys, impacting mission prices. A steam pipe sizing calculator considers temperature limits for varied supplies, helping engineers in selecting acceptable piping that balances efficiency necessities with budgetary constraints. For instance, stainless-steel could also be mandatory for high-temperature functions the place carbon metal could be unsuitable.

  • Insulation Necessities

    Larger steam temperatures end in elevated warmth loss to the encompassing setting. Sufficient insulation is important for sustaining system effectivity and stopping condensation. Calculators typically incorporate insulation elements, permitting engineers to find out acceptable insulation thickness for minimizing warmth switch and making certain the steam reaches its vacation spot on the desired temperature. This reduces vitality waste and working prices.

  • Thermal Enlargement

    Temperature adjustments trigger pipes to increase and contract. This thermal growth should be accommodated in system design to forestall stress and potential failures. Pipe sizing calculators typically incorporate growth coefficients, permitting engineers to account for these dimensional adjustments and implement acceptable growth loops or different mitigation methods. Failure to account for thermal growth can result in pipe buckling or joint failures.

  • Impression on Steam Properties

    Steam properties, comparable to density and viscosity, range with temperature. These adjustments affect strain drop calculations and total system efficiency. A steam pipe sizing calculator accounts for these temperature-dependent properties, making certain correct and dependable sizing outcomes. For example, larger temperatures can result in decrease steam density, affecting velocity and strain drop calculations.

Cautious consideration of steam temperature is essential for efficient steam system design. Integrating temperature into pipe sizing calculations, by means of using a devoted calculator, ensures optimum materials choice, correct insulation, and correct system efficiency predictions. This complete method minimizes dangers, reduces working prices, and ensures the long-term reliability and security of the steam system.

3. Circulation Fee

Circulation charge, representing the quantity of steam transported by means of a pipe per unit of time, stands as a major determinant in steam pipe sizing calculations. This parameter immediately influences pipe diameter choice, impacting system effectivity, strain drop, and velocity. A exact understanding of circulation charge’s function is important for leveraging a steam pipe sizing calculator successfully.

The connection between circulation charge and pipe diameter displays a direct proportionality: larger circulation charges necessitate bigger pipe diameters to take care of acceptable velocities and strain drops. For example, a high-output steam turbine requires considerably bigger piping than a small steam-driven pump working on the identical strain. Ignoring circulation charge necessities results in both undersized pipes, leading to extreme velocities and strain losses, or outsized pipes, growing materials and set up prices unnecessarily. A steam pipe sizing calculator accounts for this relationship, making certain the chosen pipe diameter accommodates the specified circulation charge whereas optimizing system efficiency.

Sensible functions underscore the significance of correct circulation charge dedication. In industrial settings, processes like steam sterilization or chemical manufacturing demand exact steam supply. Undersized pipes prohibit manufacturing capability, whereas outsized pipes waste vitality and sources. Equally, in constructing heating methods, correct circulation charge ensures enough warmth distribution with out extreme noise or strain fluctuations. A steam pipe sizing calculator, by incorporating circulation charge calculations, aids engineers in deciding on optimum pipe sizes, balancing efficiency wants with financial issues. This precision contributes considerably to total system effectivity, reliability, and security.

4. Pipe Materials

Pipe materials choice considerably influences steam system design and is an integral element of correct steam pipe sizing calculations. Completely different supplies exhibit various properties, affecting strain and temperature scores, corrosion resistance, and total system longevity. A steam pipe sizing calculator incorporates these material-specific traits, making certain acceptable pipe choice for the meant working circumstances.

Materials properties immediately impression allowable stress ranges throughout the pipe wall. For example, carbon metal provides good power at decrease temperatures and pressures however is prone to high-temperature corrosion. Stainless-steel, whereas costlier, supplies superior corrosion resistance and better temperature capabilities. A calculator considers these materials limitations, adjusting allowable stresses and wall thicknesses accordingly. Selecting an unsuitable materials can result in untimely failures, expensive repairs, and security hazards. For instance, utilizing carbon metal in a high-temperature, corrosive setting could end in fast deterioration, whereas stainless-steel would offer a extra sturdy and dependable resolution.

The sensible implications of fabric choice lengthen past preliminary set up prices. Upkeep necessities, lifespan, and total system reliability are influenced by the chosen materials. A steam pipe sizing calculator, by integrating materials properties into its calculations, aids engineers in making knowledgeable selections that stability efficiency necessities with long-term price issues. This complete method ensures system integrity, minimizes downtime, and promotes operational effectivity all through the system’s lifecycle. Understanding the nuanced relationship between pipe materials and steam pipe sizing is essential for designing sturdy, dependable, and cost-effective steam methods.

5. Velocity Limits

Velocity limits signify crucial constraints inside steam system design, immediately influencing pipe sizing calculations. Extreme steam velocity can result in erosion, noise, and vibration, compromising system integrity and longevity. A steam pipe sizing calculator incorporates these limits, making certain chosen pipe diameters preserve acceptable circulation velocities.

  • Erosion Management

    Excessive-velocity steam can erode pipe partitions, notably at bends and adjustments in course. This erosion weakens the pipe, growing the chance of leaks and failures. Velocity limits, typically based mostly on materials kind and steam circumstances, mitigate this danger. A steam pipe sizing calculator incorporates these limits, making certain pipe diameters present ample cross-sectional space to take care of velocities beneath erosive thresholds. For instance, larger velocities is likely to be permissible in straight pipe sections in comparison with elbows or valves.

  • Noise Discount

    Extreme steam velocity can generate vital noise, notably in smaller diameter pipes. This noise will be disruptive and will exceed acceptable ranges in sure environments, comparable to hospitals or residential buildings. Velocity limits assist management noise ranges by making certain circulation velocities stay inside acceptable ranges. A steam pipe sizing calculator considers these limits, optimizing pipe diameters for quiet operation. Bigger diameter pipes sometimes scale back circulation noise in comparison with smaller ones carrying the identical mass circulation charge.

  • Vibration Mitigation

    Excessive-velocity steam can induce vibrations throughout the piping system. These vibrations can result in fatigue failures, leaks at joints, and harm to related tools. Velocity limits reduce vibration potential by controlling circulation traits. A steam pipe sizing calculator incorporates these limits, making certain pipe diameters reduce vibration dangers. Correctly supported piping and acceptable growth loops additional mitigate vibration points.

  • System Effectivity

    Whereas excessively excessive velocities pose dangers, overly low velocities can be detrimental. Very low velocities could result in elevated warmth loss and potential condensation throughout the pipe. A steam pipe sizing calculator balances these issues, optimizing pipe diameters for environment friendly steam transport whereas staying inside acceptable velocity ranges. This ensures optimum vitality supply and minimizes operational prices.

Applicable consideration of velocity limits is key for designing secure, environment friendly, and dependable steam methods. A steam pipe sizing calculator integrates these limits into its calculations, guiding engineers in the direction of optimum pipe diameters that stability efficiency necessities with long-term system integrity. This complete method minimizes dangers, reduces upkeep wants, and ensures the steam system operates inside secure and acceptable parameters.

6. Strain Drop

Strain drop, the discount in steam strain because it flows by means of a pipe, represents a crucial think about steam system design and is intrinsically linked to steam pipe sizing calculations. This phenomenon arises primarily from frictional losses between the steam and the pipe’s interior floor, in addition to adjustments in circulation course and velocity. Precisely predicting and managing strain drop is important for making certain environment friendly steam supply and optimum system efficiency. A steam pipe sizing calculator integrates strain drop calculations, enabling engineers to pick out pipe diameters that reduce strain loss whereas sustaining acceptable circulation traits.

A number of elements affect strain drop inside a steam pipe. Pipe diameter, steam circulation charge, pipe size, and steam properties (comparable to density and viscosity) all contribute to the general strain loss. For example, smaller diameter pipes exhibit larger strain drops for a given circulation charge resulting from elevated frictional resistance. Longer pipe runs additionally expertise larger strain losses. Furthermore, larger steam velocities exacerbate strain drop. A steam pipe sizing calculator considers these interdependencies, enabling engineers to optimize pipe diameters for particular working circumstances. For instance, an extended steam distribution line serving a number of course of items requires cautious pipe sizing to make sure enough strain at every supply level. Ignoring strain drop calculations can result in inadequate steam strain on the end-use tools, compromising efficiency and effectivity. Conversely, overcompensating by deciding on excessively giant pipe diameters will increase materials and set up prices unnecessarily.

Understanding and managing strain drop is key for environment friendly and cost-effective steam system operation. A steam pipe sizing calculator supplies a vital software for predicting and mitigating strain losses, making certain enough steam strain on the level of use. This optimization course of balances efficiency necessities with financial issues, resulting in extra environment friendly and dependable steam methods. Neglecting strain drop calculations can lead to underperforming methods, elevated vitality consumption, and potential tools harm. Correct strain drop evaluation, facilitated by a steam pipe sizing calculator, ensures optimum system design and operation.

7. Pipe Insulation

Pipe insulation performs a vital function in steam system effectivity and, consequently, influences calculations carried out by a steam pipe sizing calculator. Insulation reduces warmth loss to the encompassing setting, sustaining desired steam temperature and strain alongside the pipeline. This warmth conservation immediately impacts required pipe sizing. With out enough insulation, vital warmth loss can result in condensation, elevated strain drop, and lowered steam high quality. A steam pipe sizing calculator should account for insulation’s impact to make sure correct sizing. For instance, a poorly insulated steam pipe could require a bigger diameter to compensate for the anticipated strain drop resulting from warmth loss, whereas a well-insulated pipe can obtain the identical efficiency with a smaller diameter, decreasing materials and set up prices.

The thickness and high quality of insulation immediately affect the speed of warmth switch. Larger insulation values and larger thicknesses reduce warmth loss, decreasing the necessity for outsized piping. This relationship highlights the interconnectedness of insulation and pipe sizing. In sensible functions, comparable to long-distance steam distribution networks, correct insulation is important for sustaining steam high quality and strain. With out enough insulation, vital vitality losses can happen, growing working prices and decreasing system effectiveness. A steam pipe sizing calculator, by incorporating insulation parameters, permits engineers to optimize pipe diameters for particular insulation traits, making certain environment friendly and cost-effective system operation. For example, specifying a better insulation worth permits for smaller diameter piping whereas attaining the identical supply temperature, optimizing capital expenditure.

Efficient integration of insulation issues into steam pipe sizing calculations is important for optimizing system efficiency and cost-effectiveness. Ignoring insulation’s impression can result in inaccurate sizing, leading to both outsized pipes and pointless materials expense or undersized pipes with elevated strain drop and lowered steam high quality. A sturdy steam pipe sizing calculator incorporates insulation properties, enabling engineers to precisely decide optimum pipe diameters for particular working circumstances and insulation traits. This holistic method ensures environment friendly steam supply, minimizes vitality losses, and optimizes total system design.

8. Security Elements

Security elements signify a crucial component inside steam pipe sizing calculations, making certain system integrity and personnel security beneath varied working circumstances. These elements account for uncertainties in materials properties, manufacturing tolerances, working pressures, and potential transient occasions. A steam pipe sizing calculator incorporates security elements to offer a margin of safety in opposition to unexpected circumstances, stopping failures that might result in harm or harm. This integration ensures the chosen pipe measurement can face up to stresses exceeding anticipated working circumstances, safeguarding in opposition to surprising strain surges, temperature fluctuations, or exterior forces. For instance, a security issue utilized to the pipe’s allowable stress ensures it may face up to pressures considerably larger than the conventional working strain, offering a buffer in opposition to potential strain spikes.

Sensible functions spotlight the significance of incorporating security elements. In energy technology amenities, steam piping operates beneath excessive pressures and temperatures. A failure in these methods can have catastrophic penalties. Equally, in chemical processing crops, steam traces typically carry hazardous supplies. A leak or rupture may launch harmful substances, posing dangers to each personnel and the setting. Steam pipe sizing calculators, by incorporating acceptable security elements, mitigate these dangers. These calculations guarantee the chosen pipe materials and wall thickness can face up to anticipated working circumstances with a margin of security, minimizing the probability of failures. The precise security elements employed rely upon {industry} requirements, regulatory codes, and the particular utility. These requirements present pointers for figuring out acceptable security margins based mostly on the extent of danger related to the steam system.

Correct incorporation of security elements into steam pipe sizing calculations is key for making certain secure and dependable steam system operation. These elements present a vital buffer in opposition to unexpected occasions, defending each personnel and infrastructure. Steam pipe sizing calculators combine these security issues, enabling engineers to pick out pipe sizes that meet stringent security necessities. This proactive method minimizes dangers and ensures long-term system integrity. Failure to adequately take into account security elements in pipe sizing can result in catastrophic failures with vital penalties. Due to this fact, understanding and making use of acceptable security elements is paramount in accountable steam system design and operation.

9. Software program/Instrument Choice

Software program and power choice considerably impacts the accuracy and effectivity of steam pipe sizing calculations. Selecting acceptable software program is essential for making certain dependable outcomes, optimizing system design, and minimizing potential errors. Out there choices vary from specialised steam system design software program to on-line calculators and spreadsheet-based instruments. Every provides distinct capabilities, requiring cautious consideration based mostly on mission complexity, required accuracy, and out there sources.

  • Specialised Steam System Design Software program

    Complete software program packages provide superior options for modeling complicated steam methods, together with pipe sizing, strain drop evaluation, and tools choice. These instruments typically incorporate intensive steam tables and thermodynamic properties, enabling detailed and correct calculations. They’re sometimes used for large-scale initiatives requiring excessive precision and detailed evaluation, comparable to energy plant design or industrial course of optimization. Examples embody Crane Companion, AFT Fathom, and Siemens PIPENET.

  • On-line Steam Pipe Sizing Calculators

    On-line calculators present a readily accessible and infrequently free different for easier steam pipe sizing duties. These instruments sometimes provide a streamlined interface for inputting primary parameters like circulation charge, strain, and temperature, offering fast estimations of required pipe diameters. Whereas handy for preliminary assessments or smaller initiatives, they might lack the detailed evaluation capabilities of devoted software program. Examples embody calculators supplied by varied valve and pipe producers.

  • Spreadsheet-Based mostly Instruments

    Spreadsheets provide a customizable method to steam pipe sizing, permitting engineers to implement particular formulation and calculations tailor-made to particular person mission necessities. This method provides flexibility however requires a deeper understanding of steam system ideas and potential pitfalls related to guide calculations. Errors in formulation or enter values can result in inaccurate outcomes, necessitating cautious verification.

  • Concerns for Choice

    Selecting the suitable software is dependent upon a number of elements. Challenge complexity dictates the required degree of element and evaluation. Accuracy necessities affect the selection between simplified calculators and extra refined software program. Out there sources, together with funds and experience, additionally play a task. For complicated initiatives, investing in devoted software program provides larger accuracy and effectivity. For easier functions, on-line calculators or spreadsheet-based instruments could suffice. Correct software choice ensures correct pipe sizing, optimizing system efficiency and security.

Applicable software program/software choice is important for correct and environment friendly steam pipe sizing. Choosing the proper software for the particular mission necessities ensures dependable outcomes, minimizes errors, and optimizes total system design. Cautious consideration of obtainable choices, together with specialised software program, on-line calculators, and spreadsheet-based instruments, based mostly on mission complexity, accuracy wants, and out there sources, is paramount for attaining optimum steam system efficiency and security. Failing to pick out the suitable software can result in inaccurate sizing, leading to both undersized pipes with extreme strain drops or outsized pipes with elevated materials and set up prices.

Often Requested Questions

This part addresses widespread inquiries concerning steam pipe sizing calculations, offering concise and informative responses to make clear potential uncertainties and misconceptions.

Query 1: What are the potential penalties of undersized steam piping?

Undersized piping can result in extreme steam velocity, leading to excessive strain drops, elevated noise ranges, and potential erosion of pipe partitions. These elements can compromise system effectivity, improve working prices, and create security hazards.

Query 2: How does steam strain affect pipe sizing calculations?

Larger steam pressures necessitate thicker pipe partitions or bigger diameters to resist elevated stress. Strain additionally influences steam velocity and strain drop calculations, requiring cautious consideration throughout pipe sizing.

Query 3: Why is insulation essential in steam pipe sizing?

Insulation minimizes warmth loss, decreasing the chance of condensation and sustaining desired steam temperature and strain. Correct insulation can enable for smaller pipe diameters, optimizing materials prices and system effectivity.

Query 4: What function do security elements play in steam pipe sizing?

Security elements account for uncertainties in materials properties, working circumstances, and potential transient occasions. They supply a margin of safety, making certain the pipe can face up to stresses exceeding anticipated working parameters.

Query 5: What are the completely different instruments out there for steam pipe sizing calculations?

Choices vary from specialised steam system design software program to on-line calculators and spreadsheet-based instruments. Software program choice is dependent upon mission complexity, required accuracy, and out there sources.

Query 6: How does steam temperature have an effect on pipe materials choice?

Elevated steam temperatures necessitate supplies with acceptable temperature and creep resistance. Larger temperatures typically require costlier alloys, influencing each materials choice and total system price.

Correct steam pipe sizing requires cautious consideration of varied elements, together with strain, temperature, circulation charge, and materials properties. Utilizing a dependable steam pipe sizing calculator and understanding the underlying ideas ensures secure, environment friendly, and cost-effective steam system design.

For additional info and detailed evaluation, seek the advice of related {industry} requirements, engineering handbooks, and specialised steam system design sources.

Sensible Suggestions for Steam Pipe Sizing

Correct steam pipe sizing is essential for system effectivity, security, and longevity. The next sensible suggestions present priceless insights for engineers and designers concerned in steam system initiatives.

Tip 1: Account for Future Enlargement: Design steam piping methods with future growth in thoughts. Anticipating potential will increase in steam demand permits for preliminary choice of barely bigger pipe sizes, accommodating future progress with out requiring intensive system modifications. This proactive method minimizes future prices and disruptions.

Tip 2: Confirm Insulation Specs: Insulation performs a crucial function in sustaining steam high quality and minimizing warmth loss. Confirm insulation specs rigorously, making certain they meet the required thermal efficiency and repair temperature necessities. Correct insulation choice reduces vitality waste and working prices.

Tip 3: Think about Pipe Materials Compatibility: Steam will be corrosive, notably at excessive temperatures and pressures. Rigorously take into account materials compatibility to make sure long-term system integrity. Choosing acceptable supplies minimizes corrosion dangers, extending the lifespan of the piping system and decreasing upkeep necessities. Stainless-steel, for instance, provides superior corrosion resistance in comparison with carbon metal in sure functions.

Tip 4: Validate Enter Parameters: Correct calculations depend on correct enter knowledge. Totally validate enter parameters, comparable to steam circulation charge, strain, and temperature, earlier than performing pipe sizing calculations. Errors in enter knowledge can result in vital sizing errors, compromising system efficiency and security. Cross-referencing knowledge from a number of sources enhances accuracy.

Tip 5: Make the most of Respected Calculation Instruments: Make use of respected steam pipe sizing calculators or software program from trusted sources. Make sure the chosen software adheres to related {industry} requirements and incorporates acceptable security elements. Dependable instruments present correct outcomes, minimizing the chance of expensive design errors. Consulting industry-standard references like Crane Technical Paper 410 supplies extra validation.

Tip 6: Doc Calculations and Assumptions: Keep thorough documentation of all calculations, assumptions, and enter parameters. This documentation supplies priceless info for future reference, troubleshooting, and system modifications. Clear documentation additionally facilitates collaboration amongst mission stakeholders.

Tip 7: Seek the advice of with Skilled Engineers: For complicated steam methods or crucial functions, consulting with skilled steam system engineers supplies priceless experience. Knowledgeable steering ensures correct design practices, minimizes potential dangers, and optimizes system efficiency. Exterior assessment can establish potential oversights and enhance design reliability.

Adhering to those sensible suggestions ensures correct steam pipe sizing, optimizing system effectivity, security, and reliability. Correct planning and cautious consideration of those elements contribute considerably to the long-term success of steam system initiatives.

The next conclusion summarizes key takeaways and emphasizes the general significance of correct steam pipe sizing.

Conclusion

Correct steam pipe sizing, typically facilitated by a steam pipe sizing calculator, stands as a crucial facet of steam system design. This course of requires cautious consideration of varied interconnected elements, together with steam strain, temperature, circulation charge, pipe materials, and insulation properties. Applicable pipe sizing ensures environment friendly steam supply, minimizes strain drop, controls velocity inside secure limits, and optimizes total system efficiency. Neglecting these issues can result in expensive inefficiencies, security hazards, and lowered system lifespan. Correct utilization of calculation instruments and adherence to established engineering ideas are important for attaining optimum outcomes. Understanding the interaction of those elements empowers engineers to design sturdy, dependable, and cost-effective steam methods.

Efficient steam system design requires a holistic method, integrating correct pipe sizing calculations with cautious materials choice, insulation specification, and consideration of security elements. This meticulous method ensures long-term system integrity, minimizes operational prices, and promotes secure and environment friendly steam utilization throughout various functions, from energy technology to industrial processes and constructing heating methods. Steady developments in calculation instruments and a deeper understanding of steam system dynamics additional improve the precision and reliability of steam pipe sizing practices, contributing to ongoing enhancements in vitality effectivity and system efficiency.