Laʻana o nā nīnau kūkākūkā ma nā motika uila
He mīkini ka motika uila e hoʻololi i ka ikehu uila i ikehu mechanical. He ʻāpana koʻikoʻi ia i nā ʻano hana ʻoihana, kalepa, a me nā hana home. He mea nui ka hoʻomaopopo ʻana i nā loina a me ka hana o nā motika uila, ʻoiai no nā haumāna ʻenekinia a me nā poʻe loea i ke kahua uila. Ma kēia ʻatikala, e kūkākūkā mākou i kekahi mau pilikia hoʻohālike a me nā kūkākūkā e pili ana i nā motika uila e kōkua i ka hoʻoikaika ʻana i ko mākou ʻike.
Nā Kumumanaʻo Kumu o nā Motika Uila
Ma mua o ko mākou luʻu ʻana i loko o nā nīnau, he mea kōkua ke nānā hou i nā loina kumu o nā motika uila. Hana nā motika uila ma ke kumumanaʻo o ka electromagnetism, kahi e hana ai kahi au uila e hele ana ma o kahi coil i kahi kahua magnetic e launa pū me ke kahua magnetic o kahi kumu waho e hana i ka neʻe. Ma keʻano laulā, ua māhele ʻia nā motika uila i ʻelua ʻano nui: nā motika au pololei (DC) a me nā motika au alternating (AC).
Nā ʻĀpana Nui o kahi Motika Uila
1. Stator: ʻO ka ʻāpana paʻa o ka motika i hana pinepine ʻia me nā wili uea a i ʻole nā magnets paʻa.
2. Rotor: ʻO ka ʻāpana wili o ka motika i hana pinepine ʻia me nā wili uea a i ʻole nā magnets.
3. ʻŌwili: Uea i wili ʻia a puni ka rotor a i ʻole ka stator e hana i kahi kahua magnetic.
4. Puna Ikehu: Hāʻawi i ke au uila e pono ai e hoʻokele i ka motika.
Nā Nīnau Laʻana a me ke Kūkākūkā
Nīnau 1: Ke helu ʻana i ka wikiwiki o ka mīkini DC
Nīnau: Hana kahi motika DC me 500 mau huli no kēlā me kēia coil ma 24V a me 5A. Inā ʻo ke kūpaʻa o ka motika \( K_m \) he 0.02 Nm/A, e helu i ka wikiwiki o ka wili ʻana o ka rotor inā ʻo ka torque hopena he 1 Nm.
Kūkākūkā:
Ua ʻike ʻia:
– Helu o nā huli (N) = 500
– Uila uila (V) = 24V
– Au (I) = 5A
– Paʻa o ka motika \( K_m \) = 0.02 Nm/A
– ʻO ka ikaika (T) = 1 Nm
Mai ke kaulike kumu o kahi motika DC, ʻike mākou:
\[ T = K_m \cdot I \]
\[ 1 Nm = 0.02 Nm/A \cdot 5 A \]
\[ 1 Nm = 0.1 Nm \]
ʻO ke ʻano kēia, ua pololei ke kūpaʻa torque e pono ai e hana i 1 Nm ma ke au o 5 A.
ʻO ka mea aʻe, no ka helu ʻana i ka wikiwiki o ka wili (\( \omega \)):
\[ E = K_m \cdot \omega \]
\[ V = E \]
24V = 0.02 Nm/A
Mai ʻaneʻi, hiki iā mākou ke helu i ka wikiwiki (\( \omega \)):
\[ \omega = \frac{V}{K_m} \]
\[ \omega = \frac{24V}{0.02 Nm/A} \]
\[ \omega = 1200 rad/s \]
Nīnau 2: Ka pono o kahi motika hoʻokomo AC
Nīnau: He 30 kW ka mana hoʻokomo o kahi motika hoʻokomo 3-phase a he 27 kW ka mana hoʻopuka. E helu i ka pono o ka motika.
Kūkākūkā:
Ua ʻike ʻia:
– Mana hoʻokomo (P_in) = 30 kW
– Mana hoʻopuka (P_out) = 27 kW
Hiki ke helu ʻia ka pono (\( \eta \)) o kahi motika me ka hoʻohana ʻana i ke ʻano hana:
\[ \eta = \left( \frac{P_{out}}{P_{in}} \right) \times 100\% \]
\[ \eta = \left( \frac{27 kW}{30 kW} \right) \times 100\% \]
\[ \eta = 0.9 \times 100\% \]
\[ \eta = 90\% \]
No laila, ʻo ka pono o ka motika induction he 90%.
Nīnau 3: Motika Synchronous
Nīnau: He 4 mau pou o kahi motika synchronous a ua hoʻolako ʻia me ka alapine (frequency) o 60 Hz. E helu i ka wikiwiki synchronous o ka motika.
Kūkākūkā:
Ua ʻike ʻia:
– Helu o nā pou (P) = 4
– Alapine (f) = 60 Hz
Hiki ke helu ʻia ka wikiwiki synchronous (n_s) o kahi motika synchronous me ka hoʻohana ʻana i ke ʻano hana:
\[ n_s = \frac{120 \cdot f}{P} \]
\[ n_s = \frac{120 \cdot 60}{4} \]
\[ n_s = \frac{7200}{4} \]
\[ n_s = 1800 \, RPM \]
No laila, ʻo ka wikiwiki synchronous o ka motika synchronous he 1800 RPM.
Nīnau 4: ʻO ka Torque Motor DC Series
Nīnau: He 0.5 ohms ke kū'ē'ē o kahi motika mo'o DC a ua ho'olako 'ia me ka volta o 120V. Inā he 10A ke au e kahe ana, e helu i ka torque inā he 0.1 Nm/A² ke kūpa'a torque.
Kūkākūkā:
Ua ʻike ʻia:
– Ke kū'ē ʻana o ke koʻi (R) = 0.5 ohm
– Ka uila hoʻolako (V) = 120V
– Au (I) = 10A
– Paʻa o ka torque \( K_t \) = 0.1 Nm/A²
ʻO ka mea mua, e helu i ka hāʻule ʻana o ke volta ma o ke kaula:
\[ V_R = I \cdot R \]
\[ V_R = 10A \cdot 0.5 \Omega \]
\[ V_R = 5V \]
Ka uila kūpono (V_eff) e hana ana ma ka motika:
\[ V_eff = V – V_R \]
\[ V_eff = 120V – 5V \]
\[ V_eff = 115V \]
Hiki ke helu ʻia ka Torque (T) me ka hoʻohana ʻana i ke ʻano hana:
\[ T = K_t \cdot I^2 \]
\[ T = 0.1 Nm/A² \cdot (10A)^2 \]
\[ T = 0.1 Nm/A² \cdot 100 A² \]
\[ T = 10 Nm \]
No laila, ʻo ka torque i hana ʻia e ka motika DC series he 10 Nm.
Nīnau 5: Mea hoʻomaka o ka mīkini hoʻokomo
Nīnau: Hoʻokomo kekahi loea i kahi mea hoʻomaka star-delta ma kahi motika induction 50 kW. E helu i ke au hoʻomaka mua inā he 400 V ka volta hana a he 92% ka pono o ka motika.
Kūkākūkā:
Ua ʻike ʻia:
– Mana motika (P) = 50 kW
– Uila uila (V) = 400V
– Ka pono (\( \eta \)) = 92%
ʻO ka mea mua, helu mākou i ka mana hoʻokomo (P_in):
\[ P_{in} = \frac{P}{\eta} \]
\[ P_{in} = \frac{50 kW}{0.92} \]
\[ P_{in} = 54.35 kW \]
Ma muli o ka hoʻohana ʻana o ka motika i kahi ʻōnaehana hōkū-delta, ʻoi aku ka haʻahaʻa o ke au hoʻomaka ma ka hōkū ma mua o ke au i ka wā o ka hana delta. Eia nō naʻe, no ka helu ʻana i ke au maʻamau, hiki iā mākou ke hoʻohana iā P_in a me V:
\[ I_{nom} = \frac{P_{in}}{\sqrt{3} \cdot V} \]
\[ I_{nom} = \frac{54.35 kW}{\sqrt{3} \cdot 400V} \]
\[ I_{nom} = \frac{54350}{692.82} \]
\[ I_{nom} \approx 78.44 A \]
No ke hoʻomaka ʻana i ke au i ka wā e hoʻohana ai i kahi kaapuni hōkū:
\[ I_{hoʻomaka\_hōkū} = \frac{I_{nom}}{\sqrt{3}} \]
\[ I_{hoʻomaka\_hōkū} \approx \frac{78.44A}{\sqrt{3}} \]
\[ I_{hoʻomaka\_hōkū} \approx 45.28 A \]
No laila, ʻo ke au hoʻomaka mua ma ke kaapuni hōkū ma kahi o 45.28 A.
Ka hopena
He mea nui ka hoʻomaopopo ʻana i nā helu kumu o nā ʻano mīkini uila like ʻole no ka poʻe e hana ana i ka ʻenekinia uila a me ka mīkini. Hōʻike nā pilikia hoʻohālike ma luna pehea e pāʻani ai nā ʻano like ʻole e like me ke voltage, ke au, ka torque, a me ka pono i ka hoʻoholo ʻana i ka hana o ka mīkini uila. Me ka hoʻomaʻamaʻa mau, ʻo ka hiki ke hoʻoponopono i nā pilikia e like me kēia e waiwai nui ʻia i nā noi hana a ma ka hana.
