我通过打开服务来解决这个问题，然后开始运行Sql Server (Sqlexpress)服务。

我遇到了同样的问题，问题是我在解决方案(Weband Droid)中有几个项目，即使在包管理器控制台中选择了默认项目，它也使用了Droid项目的连接字符串:

PM> update-database -Verbose
Using StartUp project 'Droid'. <-- DROID
Using NuGet project 'Web'. <-- WEB
Specify the '-Verbose' flag to view the SQL statements being applied to the target database.
<!-- BAD TARGET DATABASE -->
Target database is: 'DefaultConnection' (DataSource: .\SQLEXPRESS, Provider: System.Data.SqlClient, Origin: Convention).
System.Data.SqlClient.SqlException (0x80131904): A network-related or instance-specific error occurred while establishing a connection to SQL Server. The server was not found or was not accessible. Verify that the instance name is correct and that SQL Server is configured to allow remote connections. (provider: SQL Network Interfaces, error: 26 - Error Locating Server/Instance Specified)
   [REMOVED TEXT]
ClientConnectionId:00000000-0000-0000-0000-000000000000
Error Number:-1,State:0,Class:20
A network-related or instance-specific error occurred while establishing a connection to SQL Server. The server was not found or was not accessible. Verify that the instance name is correct and that SQL Server is configured to allow remote connections. (provider: SQL Network Interfaces, error: 26 - Error Locating Server/Instance Specified)

在包管理器控制台设置启动项目到Web和默认项目后，我得到了它的工作。

尝试在连接字符串的末尾添加一个和一个端口号(如1433)。

虽然以上的解决方案应该在90%的情况下工作，但如果你还在阅读这个答案!!您可能正在尝试连接到与预期不同的服务器。这可能是由于配置文件指向不同的SQL服务器，而不是您认为要连接的实际服务器。

至少在我身上发生过。

我使用的是SQL Server 2016和windows 10。

首先是允许远程连接到SQL Server。 我所做的就是键入sqlservermanager13。在开始菜单打开SQL Server配置管理器。确保TCP/IP状态为启用状态。

双击TCP/IP协议名称，检查TCP端口号。通常默认值是1433。

以下步骤通过使用Microsoft管理控制台(MMC)管理单元配置Windows防火墙的高级安全。高级安全Windows防火墙只配置当前配置文件。

To open a port in the Windows firewall for TCP access On the Start menu, click Run, type WF.msc, and then click OK. In the Windows Firewall with Advanced Security, in the left pane, right-click Inbound Rules, and then click New Rule in the action pane. In the Rule Type dialog box, select Port, and then click Next. In the Protocol and Ports dialog box, select TCP. Select Specific local ports, and then type the port number of the instance of the Database Engine, such as 1433 for the default instance. Click Next. In the Action dialog box, select Allow the connection, and then click Next. In the Profile dialog box, select any profiles that describe the computer connection environment when you want to connect to the Database Engine, and then click Next. In the Name dialog box, type a name and description for this rule, and then click Finish.

另一个需要配置的东西。

To open access to SQL Server when using dynamic ports On the Start menu, click Run, type WF.msc, and then click OK. In the Windows Firewall with Advanced Security, in the left pane, right-click Inbound Rules, and then click New Rule in the action pane. In the Rule Type dialog box, select Program, and then click Next. In the Program dialog box, select This program path. Click Browse, and navigate to the instance of SQL Server that you want to access through the firewall, and then click Open. By default, SQL Server is at C:\Program Files\Microsoft SQL Server\MSSQL13.MSSQLSERVER\MSSQL\Binn\Sqlservr.exe. Click Next. In the Action dialog box, select Allow the connection, and then click Next. In the Profile dialog box, select any profiles that describe the computer connection environment when you want to connect to the Database Engine, and then click Next. In the Name dialog box, type a name and description for this rule, and then click Finish.

看看微软的文档 配置Windows防火墙访问数据库引擎

即使我使用了正确的凭证，我也面临着这种问题。请务必执行以下操作。

确保您的sql server凭据。在sql server字段中，您必须使用计算机名。

要找到计算机名称，在您的计算机上搜索计算机名称，然后就可以找到计算机名称。然后粘贴并尝试连接。

如果无法正常工作，请尝试从服务启动计算机上的sql server。下面的截图会有帮助。