Permeance: Taarifa, Ma'ana'i da Kashi

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Mai suna Permeance?

Permeance yana nufin a matsayin alama na kadan da magnetic flux zan iya samun shiga cikin abu ko magnetic circuit. Permeance tana daya daga reluctance. Permeance tana musamman da magnetic flux kuma ana ambaci da harsuna P.

$Permeance (P) = \frac {1} {Reluctance(S)}$

$\begin{align*} P = \frac {\phi} {NI} \ Wb/AT \end{align*}$

Daga wannan tambayar za a iya ce mai yawan magnetic flux wajen adadin ampere-turns tana gaskiya da permeance.

A nan magnetic permeability, permeance tana bayyana da

$\begin{align*} P = \frac {\mu_0 \mu_r A} {l} = \frac {\mu A} {l} \end{align*}$

Amsa,

$\mu_0$ = Tsarin kadan tsakiyar (vaka) = $4\pi * 10^-^7$ Henry/meter
$\mu_r$ = Tsarin kadan na'ura a matsayin abincin magana
$l$ = Yawan hanyar magana a meter
$A$ = Tsari masu kasa a square meters ( $m^2$ )

A cikin tari na kula, conductance ita ce darasi da zan iya aiki a kan wani abu a gaba da kula; haka ma, permeance ita ce darasi da zan iya aiki a kan wani abu a gaba da tsari na kula. Saboda haka, permeance ya fi yawa don tsari masu yawan kasa da kuma ya fi yawa don tsari masu yawan kudanci. Wannan fahimta ta permeance a cikin tari na kula tana da muhimmanci a matsayin conductance a cikin tari na kula.

Reluctance vs Permeance

Takaitaccen bayanai game da reluctance da permeance an samar da su a cikin tabbata ta hagu.

Reluctance =\frac{m.m.f}{flux} = \frac{NI}{\phi}

Permeance = \frac {flux}{m.m.f} =\frac {\phi}{NI}

Yawan Permeance

Yawan permeance suna Weber per ampere-turns (Wb/AT) ko Henry.

Total Magnetic Flux (ø) da Permeance (P) a Cikin Makarantar Manyan Maita

Manyan maita yana nuna cewa

(1)

$\begin{equation*} \phi = \frac{m.m.f(F)}{Reluctance(S)} \end{equation*}$

amma $Permeance(P) = \frac{1}{Reluctance(S)}$

Tare da wannan dalilin a koyar (1) zan iya samun

(2)

$\begin{equation*} \phi = f * P \end{equation*}$

A nan, a cikin zafi mai tsawo na maginitoci daidai $\phi_t$ shine sum of air gap flux i.e. $\phi_g$ da leakage flux i.e. $\phi_l$ .

(3)

$\begin{equation*} \phi_t = \phi_g + \phi_l \end{equation*}$

A nan, a sani cewa permeance na cikin zafi mai tsawo ya bayarwa da

(4)

$\begin{equation*} P = \frac{\mu A}{l} \end{equation*}$

Daga harshe (4), za a iya cewa don cikin arewa masu yawan tsari da muhimmanci, da kuma tsawon zafi mai tsawo mai kadan, yana da muhimmanci a yi permeance (i.e. the smaller the reluctance or magnetic resistance).

A nan, daidaita i.e. Pt ta hanyar zabe na magana mai maganar shawarwar daidai ita ce haske daidaita i.e. Pg da kuma daidaita da ya kasance saboda shawarwar daidai i.e. Pf wanda yake kasance saboda shawarwar daidai ( $\phi_l$ ).

(5)

$\begin{equation*} P_t = P_g + P_f \end{equation*}$

Idan akwai sashe daidai da dama a cikin hanyar zabe na magana, daidaita daidai ita ce haske daidaita da kuma daidaita da ya kasance saboda shawarwar daidai kan gaba i.e. $P_f = P_f_1 + P_f_2 + P_f_3 + ..................... + P_f_n$ .

Saboda haka, daidaita daidai ita ce

(6)

$\begin{equation*} P_t = P_g + P_f = P_f_1 + P_f_2 + P_f_3 + ..................... + P_f_n \end{equation*}$

Har da Daidaita Wata Da Kofin Yawan Jirgin Magana

Kofin yawan jirgin magana shi ne kashi daga cikin al'adu mai girma da magnet a cikin hanyar magana zuwa wata. Ana sanya ta da $\sigma$ .

(7)

$\begin{equation*} \sigma = \frac{\phi_t}{\phi_g} \end{equation*}$

Daga tasiri (2) ya kasance $\phi = f * P$ , zaka wannan a cikin tasiri (7) za mu iya samun,

(8)

$\begin{equation*} \sigma = \frac{\phi_t}{\phi_g} = \frac{f_t * P_t} {f_g * P_g} \end{equation*}$

A nan zuwa (8) na tsari $\frac{f_t}{f_g}$ shine koyar da ake magance na yin gaba-gaban amfani da zai fi dace da 1 da Pt = Pg + Pf , Za a dogara wa zuwa (8) muna samu,

$\begin{equation*} \sigma = \frac{P_g + P_f}{P_g}= 1 + \frac{P_f}{P_g} \end{equation*}$

Daga baya saboda hanyar da za suka sauka a cikin tarihi mai zurfi, ana bayyana koyar da ake magance na yin gaba-gaban amfani ta haka,

(10)

$\begin{equation*} \sigma = 1 + \frac{P_f_1 + P_f_2 + P_f_3+ ........................... + P_f_n}{P_g} \end{equation*}$

Tsari na musamman ya nuna alaka a kan yin gaba-gaban amfani da koyar da ake magance.

Koyar da ake magance na yin gaba-gaban amfani

An koyar da gudummawa a cikin B-H curve, an koyar da gudummawa ta hanyar tsari na muhimmanci mai girma zuwa muhimmanci mai girma a cikin B-H curve.

An amfani da shi don nuna “gudummawa” ko “tsarin gudummawa” na magnet a cikin lini da ke magance ko B-H curve. Saboda haka, an yi amfani da koyar da gudummawa a cikin tashar tasirin ma'ana mai girma. An sanya shi da PC.

$\begin{align*} P_C = \frac {B_d}{H_d} \end{align*}$

Idan,

$B_d$ = Muhimmanci mai girma a gudummawan B-H curve
$H_d$ = Muhimmanci mai girma a gudummawan B-H curve

A cikin tarihin da ya ba, wasu lami OP wanda yake koyar daga gaba zuwa $B_d$ da $H_d$ a cikin B-H curve (wanda ake kira demagnetization curve) sunan shi ne permeance line, sannan tsayen permeance line shine permeance coefficient PC.

Idan akwai shi ne mafi magnet mai ban sha'awa, wato idan baa ba a kan wani abubuwan da suka fi zama permanent magnet (hard magnetic material) ko soft magnetic material a cikin harkokin ta, za a iya kalkulatar permeance coefficient PC daga shakken da kuma misalai na magnet. Saboda haka, za a iya cewa permeance coefficient shine figure of merit wajen magnet.

Mai Tsayen Permeance Yana Cewa?

Permeance coefficient PC yana nufin

(11)

$\begin{equation*} P_C = \frac {B_d}{H_d} \end{equation*}$

Amma $B_d = \frac {\phi}{A_m}$ da $H_d = \frac {F(m.m.f)}{L_m}$ zaka iya koyar da su a (11) muna samun,

(12)

$\begin{equation*} P_C = \frac {\frac {\phi}{A_m}}{\frac{F}{L_m}}} = \frac{\phi * L_m}{F * A_m} \end{equation*}$

Amma $\frac{\phi(flux)}{F(m.m.f)}= P (permeance)$ , zaka iya koyar da haka a (12) muna samun,

(13)

$\begin{equation*} P_C = P \frac{L_m}{A_m} \end{equation*}$

A nan, idan tushen aljana i.e. $L_m$ da kuma tsari na gaba-gaban aljana i.e. $A_m$ shi da take da sautin gwamnati, a wannan lokacin

(14)

$\begin{equation*} P_C = P \end{equation*}$

Saboda haka, kofin da ta fadada i.e. PC ya danganta da Permeance P. Zan iya kiran ta da kofin da ta fadada.

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Rikicin magana	Permeance
Rikicin magana tana kula tsari a yi magana a cikin darajar da ke magana.	Permeance ita ce muhimmanci na musamman wadanda ake iya kawo magana a cikin darajar da ke magana.
An kiranta da S.	An kiranta da P.
$Reluctance =\frac{m.m.f}{flux} = \frac{NI}{\phi}$	$Permeance = \frac {flux}{m.m.f} =\frac {\phi}{NI}$
Unitashin ta shi ne AT/Wb ko 1/Henry ko H-1.	Unitashin ta shi ne Wb/AT ko Henry.
Ta dacewa da resistance a cikin darajar da ke elektri.	Ta dacewa da conductance a cikin darajar da ke elektri.
Rikicin magana tana ci gaba a cikin darajar da ke magana da suka fi sani.	Permeance tana ci gaba a cikin darajar da ke magana da suka fiye.