﻿ 普遍n口网络的最大传输功率定理 A General n-Port Network’s Maximum Transfer-Power Theorem

Open Journal of Circuits and Systems
Vol.05 No.02(2016), Article ID:17515,6 pages
10.12677/OJCS.2016.52004

A General n-Port Network’s Maximum Transfer-Power Theorem

Runsheng Liang

Wuhan University of Science and Technology, Wuhan Hubei

Received: Apr. 17th, 2016; accepted: May 7th, 2016; published: May 10th, 2016

ABSTRACT

In this paper, a general n-port network’s maximum transfer-power theorem has been proved in detail with a special method by applying a general n-port network’s equivalent voltage sources theorem which has been presented with this paper at the same time.

Keywords:Equivalent Voltage-Source, Network, Linear Time-Invariant, Port-Current, Port-Voltage

1. 前言

2. 端口电流

(1)

3. 传输功率的表示式

, (2)

(3)

, ,

Figure 1. NS connects NL

Figure 2. NS disconnects NL

Figure 3. Equivalent voltage sources act on N0, NL

(4)

(5)

4. 传输最大功率的条件

,

,

(6)

Figure 4. One port network

5. 传输的最大功率及其传输效率

(7)

(8)

6. 单口网络特例

，电源的有效值为，则电流有效值的大小为，传输的最大功率为，而电源产生的功率

A General n-Port Network’s Maximum Transfer-Power Theorem[J]. 电路与系统, 2016, 05(02): 28-33. http://dx.doi.org/10.12677/OJCS.2016.52004

1. 1. Desor, C.A. (1973) The Maximumm Power-Transfer Theorem for n-Port. IEEE Transactions on Circuit Theory, CT- 20.

2. 2. Lin, P.M. (1972) Determination of Available Power from Resistive Multiports. IEEE Transactions on Circuit Theory, CT-19.

3. 3. 梁润生. 普遍n口含源网络的等效电压源定理[J]. 电路与系统, 2016, 5(2): 21-27.