With reference to Variable Frequency Drives (VFDs) in pumping systems:
1. VFDs save energy by varying the motor speed instead of using a throttle valve.
2. According to affinity laws, reducing the pump speed by 20% reduces power consumption by nearly 50%.
3. VFDs are most effective in systems with high static head.
Which of the statements given above is/are correct?
Answer & step-by-step solution
For centrifugal pumps in systems dominated by friction head, affinity laws show flow approximately proportional to speed, head to speed squared and power to speed cubed. VFD speed control therefore saves much more energy than throttling when variable flow is required. Key relation: Q∝N; H∝N²; P∝N³.
Exam focus: 20% speed reduction: power≈0.8³=0.512, about 49% saving. Common trap: High static-head systems reduce the benefit predicted by pure affinity laws.
Statement-wise Verification
- Statement 1 - Correct.
VFDs save energy by varying the motor speed instead of using a throttle valve.
VFD speed control therefore saves much more energy than throttling when variable flow is required. - Statement 2 - Correct.
According to affinity laws, reducing the pump speed by 20% reduces power consumption by nearly 50%.
20% speed reduction: power≈0.8³=0.512, about 49% saving. - Statement 3 - Incorrect.
VFDs are most effective in systems with high static head.
VFD savings are greatest where friction/variable head dominates; high static head reduces the cubic-law savings
Core Concept
For centrifugal pumps in systems dominated by friction head, affinity laws show flow approximately proportional to speed, head to speed squared and power to speed cubed. VFD speed control therefore saves much more energy than throttling when variable flow is required. Savings are less dramatic when static head dominates.
Formula / Key Relationship
Q∝N; H∝N²; P∝N³.
Why the Other Options Are Wrong
Option B is incorrect because it includes incorrect statement(s) 3 and omits correct statement(s) 1. Option C is incorrect because it includes incorrect statement(s) 3 and omits correct statement(s) 2. Option D is incorrect because it includes incorrect statement(s) 3.
Exam Shortcut / Approach
20% speed reduction: power≈0.8³=0.512, about 49% saving.
Common Mistake
High static-head systems reduce the benefit predicted by pure affinity laws.
Quick Revision
Pump Affinity Laws and VFD Savings is linked with Variable Frequency Drives, Pumping Systems and Energy Management. 20% speed reduction: power≈0.8³=0.512, about 49% saving.
पंपिंग प्रणालियों में वेरिएबल फ्रीक्वेंसी ड्राइव (VFD) के संदर्भ में:
1. VFD थ्रॉटल वाल्व के बजाय मोटर की गति बदलकर ऊर्जा बचाते हैं।
2. एफिनिटी नियमों के अनुसार पंप की गति 20% घटाने से बिजली खपत लगभग 50% घटती है।
3. VFD उच्च स्टैटिक हेड वाली प्रणालियों में सबसे अधिक प्रभावी होते हैं।
ऊपर दिए गए कथनों में से कौन-सा/से सही है/हैं?
उत्तर और चरणबद्ध हल
A — केवल 1 और 2। एफिनिटी नियम: Q∝N, H∝N², P∝N³। 20% गति घटाने पर P ≈ 0.8³ = 0.512, यानी लगभग 49% बचत। उच्च स्टैटिक हेड वाली प्रणालियों में VFD का लाभ कम हो जाता है, इसलिए कथन 3 गलत है।
विस्तृत हल (मूल भाषा में)
Statement-wise Verification
- Statement 1 - Correct.
VFDs save energy by varying the motor speed instead of using a throttle valve.
VFD speed control therefore saves much more energy than throttling when variable flow is required. - Statement 2 - Correct.
According to affinity laws, reducing the pump speed by 20% reduces power consumption by nearly 50%.
20% speed reduction: power≈0.8³=0.512, about 49% saving. - Statement 3 - Incorrect.
VFDs are most effective in systems with high static head.
VFD savings are greatest where friction/variable head dominates; high static head reduces the cubic-law savings
Core Concept
For centrifugal pumps in systems dominated by friction head, affinity laws show flow approximately proportional to speed, head to speed squared and power to speed cubed. VFD speed control therefore saves much more energy than throttling when variable flow is required. Savings are less dramatic when static head dominates.
Formula / Key Relationship
Q∝N; H∝N²; P∝N³.
Why the Other Options Are Wrong
Option B is incorrect because it includes incorrect statement(s) 3 and omits correct statement(s) 1. Option C is incorrect because it includes incorrect statement(s) 3 and omits correct statement(s) 2. Option D is incorrect because it includes incorrect statement(s) 3.
Exam Shortcut / Approach
20% speed reduction: power≈0.8³=0.512, about 49% saving.
Common Mistake
High static-head systems reduce the benefit predicted by pure affinity laws.
Quick Revision
Pump Affinity Laws and VFD Savings is linked with Variable Frequency Drives, Pumping Systems and Energy Management. 20% speed reduction: power≈0.8³=0.512, about 49% saving.
પંપિંગ પ્રણાલીઓમાં વેરિએબલ ફ્રિક્વન્સી ડ્રાઇવ (VFD)ના સંદર્ભમાં:
1. VFD થ્રોટલ વાલ્વને બદલે મોટરની ઝડપ બદલીને ઊર્જા બચાવે છે.
2. એફિનિટી નિયમો અનુસાર પંપની ઝડપ 20% ઘટાડવાથી વીજ વપરાશ લગભગ 50% ઘટે છે.
3. VFD ઊંચા સ્ટેટિક હેડવાળી પ્રણાલીઓમાં સૌથી વધુ અસરકારક છે.
ઉપર આપેલાં વિધાનોમાંથી કયું/કયાં સાચું/સાચાં છે?
જવાબ અને પગલાવાર ઉકેલ
A — ફક્ત 1 અને 2. એફિનિટી નિયમો: Q∝N, H∝N², P∝N³. 20% ઝડપ ઘટાડતાં P ≈ 0.8³ = 0.512, એટલે આશરે 49% બચત. ઊંચા સ્ટેટિક હેડવાળી પ્રણાલીઓમાં VFDનો લાભ ઘટે છે, તેથી વિધાન 3 ખોટું છે.
વિગતવાર ઉકેલ (મૂળ ભાષામાં)
Statement-wise Verification
- Statement 1 - Correct.
VFDs save energy by varying the motor speed instead of using a throttle valve.
VFD speed control therefore saves much more energy than throttling when variable flow is required. - Statement 2 - Correct.
According to affinity laws, reducing the pump speed by 20% reduces power consumption by nearly 50%.
20% speed reduction: power≈0.8³=0.512, about 49% saving. - Statement 3 - Incorrect.
VFDs are most effective in systems with high static head.
VFD savings are greatest where friction/variable head dominates; high static head reduces the cubic-law savings
Core Concept
For centrifugal pumps in systems dominated by friction head, affinity laws show flow approximately proportional to speed, head to speed squared and power to speed cubed. VFD speed control therefore saves much more energy than throttling when variable flow is required. Savings are less dramatic when static head dominates.
Formula / Key Relationship
Q∝N; H∝N²; P∝N³.
Why the Other Options Are Wrong
Option B is incorrect because it includes incorrect statement(s) 3 and omits correct statement(s) 1. Option C is incorrect because it includes incorrect statement(s) 3 and omits correct statement(s) 2. Option D is incorrect because it includes incorrect statement(s) 3.
Exam Shortcut / Approach
20% speed reduction: power≈0.8³=0.512, about 49% saving.
Common Mistake
High static-head systems reduce the benefit predicted by pure affinity laws.
Quick Revision
Pump Affinity Laws and VFD Savings is linked with Variable Frequency Drives, Pumping Systems and Energy Management. 20% speed reduction: power≈0.8³=0.512, about 49% saving.