Voltage-Controlled Voltage Sources

  Equally simple is it to include voltage-controlled voltage sources in the circuit analysis. Fig. 3.3 shows a voltage-controlled voltage source where the node labels give the possible node configuration. The controlling nodes n₁ and n₂ can be any two nodes, and the output nodes pf₁ and pf₂ are either potential-nodes or floating-nodes.

  

Figure 3.3: Voltage-controlled voltage source. The input nodes n₁ and n₂ can be any two nodes, and the output nodes pf₁ and pf₂ are either potential-nodes or floating-nodes.

A voltage-controlled voltage source brings another relation for node potentials.
$$\begin{gather}\varphi_{pf_1} - \varphi_{pf_2} = g(\varphi_{n_1} - \varphi_{n_2}) \end{gather}$$
The amplification factor of the voltage-controlled voltage source is g.